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{{outline|Outline of the metric system}}
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[[File:Poids et mesures.png|thumb|250px|Woodcut dated 1800 illustrating the new decimal units that became the legal norm across all France on 4 November 1800]]
 
The concepts behind the [[metric system]] were developed in the 16th and 17th centuries when [[Simon Stevin]] published details of his [[decimal]] notation and [[John Wilkins]] published a proposal for a decimal [[system of measurement]] based on natural units. The first practical realisation of the metric system came during the [[French Revolution]], when the existing system of measure, which had fallen into disrepute, was replaced by a decimal system based on the [[kilogram]] and the [[metre]]. The work of reforming the existing system of weights and measures had the support of whoever was in power, including [[Louis XVI of France|Louis XVI]]. The metric system was, in the words of philosopher and mathematician [[Marquis de Condorcet|Condorcet]], "for all people for all time". In the era of [[humanism]], the basic units were taken from the natural world: the unit of length, the metre, was based on the dimensions of the [[Earth]], and the unit of [[mass]], the kilogram, was based on the mass of water having a [[volume]] of one [[litre]] or one thousandth of a [[cubic metre]]. Reference copies for both units were manufactured and placed in the custody of the [[French Academy of Sciences]].
 
During the first half of the 19th century, the metric system was adopted by the scientific community. In the middle of the century, [[James Clerk Maxwell]] put forward the concept of a coherent system where a small number of units of measure were defined as [[base units]], and all other units of measure, called [[derived units]], were defined in terms of the base units. Maxwell proposed three base units: length, mass and time. This concept worked well with  [[Classical mechanics|mechanics]], but attempts to describe [[Lorentz force|electromagnetic force]]s in terms of these units encountered difficulties. By the end of the 19th century, four principal variants of the metric system were in use for the measurement of electromagnetic phenomena: three based on the [[centimetre gram second system of units|centimetre-gram-second system of units]] (CGS system), and one on the metre-kilogram-second system of units (MKS system). This impasse was resolved by [[Giovanni Giorgi]], who in 1901 proved that a coherent system that incorporated electromagnetic units had to have an electromagnetic unit as a fourth base unit.
 
Until 1875, the French government owned the prototype metre and kilogram, but in that year the [[Metre Convention|Convention of the metre]] was signed, and control of the standards relating to mass and length passed to a trio of inter-governmental organisations, the senior of which was the [[General Conference on Weights and Measures]] (in French the ''Conférence générale des poids et mesures'' or CGPM). During the first half of the 20th century, the CGPM cooperated with a number of other organisations, and by 1960 it had responsibility for defining temporal, electrical, thermal, molecular and luminar measurements, while other international organisations continued their roles in how these units of measurement were used.
 
In 1960, the CGPM launched the [[International System of Units]] (in French the ''Système international d'unités'' or SI) which had six "base units": the metre, kilogram, [[second]], [[ampere]], [[kelvin|degree Kelvin]] (subsequently renamed the "kelvin") and [[candela]]; as well as 22 further units derived from the base units. The [[Mole (unit)|mole]] was added as a seventh base unit in 1971. During this period, the metre was redefined in terms of the [[wavelength]] of the waves from a particular light source, and the second was defined in terms of the [[frequency]] of [[radiation]] from another light source. By the end of the 20th century, work was well under way to redefine the ampere, kilogram, mole and kelvin in terms of the basic [[Physical constant|constants of physics]]. It is expected that this work will be completed by 2014.{{update after|2014|12|31}}
 
==Development of underlying principles==
The first practical implementation of the metric system<ref name=SIBrochure/>{{rp| 108–9}} was the system implemented by [[French Revolution]]aries towards the end of the 18th century. Its key features were that:
* It was [[decimal]] in nature.
* It derived its unit sizes from nature.
* Units that have different dimensions are related to each other in a rational manner.
* Prefixes are used to denote multiples and sub-multiples of its units.
 
These features had already been explored and expounded by various scholars and academics in the two centuries prior to the French metric system being implemented.
 
[[Simon Stevin]] is credited with introducing the decimal system into general use in Europe.<ref name=Stevin_MacTutor/> Twentieth-century writers such Bigourdan (France, 1901) and McGreevy (United Kingdom, 1995) credit the French cleric [[Gabriel Mouton]] (1670) as the originator of the metric system.<ref name=Bigourdan/><ref name=McGreevy>{{cite book
|title = The Basis of Measurement: Volume 1 – Historical Aspects
|first1 = Thomas
|last1 = McGreevy
|first2 = Peter
|last2 = Cunningham
|year = 1995
|isbn= 0-948251-82-4
|quote = (pg 140) The originator of the metric system might be said to be Gabriel  Mouton
|publisher = Picton Publishing (Chippenham) Ltd}}</ref>{{rp|140}} In 2007 a proposal for a coherent decimal system of measurement by the English cleric  [[John Wilkins]] (1668) received publicity.<ref name=Rooney/><ref name=Naughtin>{{cite web
|title = Aussie researcher challenges origins of metric system
|url =  http://www.abc.net.au/news/2007-07-15/aussie-researcher-challenges-origins-of-metric/2503194
|date = 15 July 2007
|publisher = [[ABC News]]
|accessdate = 2012-12-30}}</ref><ref name=Naughtin2007>{{cite web
|url = http://www.metricationmatters.com/docs/CommentaryOnWilkinsOfMeasure.pdf
|title = Commentary on John Wilkins' 'Of Measure.'
|first1 = Pat
|last1 = Naughtin
|year = 2007
|accessdate = 2013-01-06}}</ref>  Since then writers have also focused on Wilkins' proposals: Tavernor (2007)<ref name=Tavernor>{{cite book
|url = http://books.google.co.uk/books/yup?id=8kg-t6xsv48C&pg=PA16&source=gbs_toc_r&cad=2#v=onepage&q=wilkins&f=false
|title = Smoot's Ear: The Measure of Humanity
|first1 = Robert
|last1 = Tavernor
|year = 2007
|publisher = [[Yale University Press]]
|isbn = 978-0-300-12492-7}}</ref>{{rp|46–51}} gave both Wilkins and Mouton equal coverage while Quinn (2012)<ref name="Quinn">{{cite book
|url = http://www.worldcat.org/title/from-artefacts-to-atoms-the-bipm-and-the-search-for-ultimate-measurement-standards/oclc/705716998/viewport
|title = From artefacts to atoms : the BIPM and the search for ultimate measurement standards
|publisher = [[Oxford University Press]]
|year = 2012
|page = xxvii
|first1 = Terry
|last1 = Quinn
|isbn = 978-0-19-530786-3}}</ref> makes no mention of Mouton but states that "he [Wilkins] proposed essentially what became&nbsp;... the French decimal metric system".
 
===Work of Simon Stevin===
[[File:Wilkins An Essay towards a real.jpg|200px|right|thumb|Frontspiece of the publication where John Wilkins proposed a metric system of units in which [[length]], [[mass]], [[volume]] and [[area]] would be related to each other]]
During the early [[medieval era]], [[Roman numerals]] were used in Europe to represent numbers,<ref>{{cite journal
|journal = The Accounting Historians Journal
|publisher = The Academy of Accounting Historians
|volume = 19
|number = 2
|date = 2 December 1992
|accessdate = 2013-10-10
|title = The Introduction  of "Arabic" Numerals in Euiropean Accounting
|first1 = John W
|last1 = Durham
|pages = 27–28
|jstor=40698081}}</ref> but the [[Arabs]] represented numbers using the [[Hindu numeral system]], a [[positional notation]] that used ten symbols. In about 1202, [[Fibonacci]] published his book ''[[Liber Abaci]]'' (Book of Calculation) which introduced the concept of positional notation into Europe. These symbols evolved into the numerals "0", "1", "2" etc.<ref>{{MacTutor|class=HistTopics|id=Arabic_numerals|title=The Arabic numeral system|date=January 2001}}</ref><ref>{{MacTutor|id=Fibonacci|title = Leonardo Pisano Fibonacci|date = October 1998}}</ref>
 
At that time there was dispute regarding the difference between [[rational number]]s and [[irrational number]]s and there was no consistency in the way in which decimal fractions were represented. In 1586, [[Simon Stevin]] published a small pamphlet called ''De Thiende'' ("the tenth") which historians credit as being the basis of modern notation for decimal fractions.<ref>{{MacTutor|class=HistTopics|id=Real_numbers_1|title=The real numbers: Pythagoras to Stevin|date=October 2005}}</ref> Stevin felt that this innovation was so significant that he declared the universal introduction of decimal coinage, measures, and weights to be merely a question of time.<ref name=Tavernor/>{{rp|70}}<ref name=Stevin_MacTutor>{{MacTutor|id=Stevin|title=Simon Stevin|date=January 2004}}</ref><ref name=Alder/>{{rp|91}}
 
===Work of John Wilkins===
In the mid seventeenth century [[John Wilkins]], the first secretary of England's [[Royal Society]], was asked by the society to devise a "universal standard of measure".<ref name=Barbara/> In 1668 he attempted to codify all knowledge in his 621 page book ''[[An Essay towards a Real Character and a Philosophical Language]]''. Four pages of Part II in Chapter VII were devoted to physical measurement. Here Wilkins also proposed a decimal system of units of measure based on what he called a "universal measure" that was derived from nature for use between "learned men" of various nations.<ref>{{cite book
|author= [[John Wilkins]]
|year= 1668
|title= An Essay towards a Real Character and a Philosophical Language
|chapter = VII
|pages= 190–194
|publisher= The Royal Society
|url = http://books.google.co.uk/books?id=BCCtZjBtiEYC&printsec=frontcover&dq=An+Essay+towards+a+Real+Character+and+a+Philosophical+Language&hl=en&sa=X&ei=Ok3xUJ7DOuGr0AW7zICoAQ&ved=0CDcQ6AEwAA#v=onepage&q=pound&f=false
|accessdate= 2011-03-06
|format = PDF}}<br>
[http://www.metricationmatters.com/docs/WilkinsTranslationShort.pdf Transcription of relevant pages (126 kB) – the associated PDF file is over 25 MB in length]</ref><ref>{{cite video
|url = http://news.bbc.co.uk/player/nol/newsid_6890000/newsid_6898200/6898274.stm?
|title =  Metric system 'was British'
|publisher = BBC news
|accessdate = 2011-03-06}}</ref>
 
Wilkins considered the [[Meridian (geography)|earth's meridian]], [[atmospheric pressure]]<ref group = Note>Described by Wilkins as the "quicksilver experiment" – an experiment in which [[Evangelista Torricelli|Torricelli]] demonstrated the existence of atmospheric pressure using what would today be called a [[mercury barometer]]</ref> and, following a suggestion by [[Christopher Wren]] and demonstrations by [[Christiaan Huygens]], the [[pendulum]] as the source for his universal measure. He discarded atmospheric pressure as a candidate – it was described by [[Evangelista Torricelli|Torricelli]] in 1643 as being susceptible to variation (the link between atmospheric pressure and [[weather]] was not understood at the time) and he discarded a meridian as being too difficult to measure; leaving the pendulum as his preferred choice. He proposed that the length of a "seconds pendulum"<ref group = Note>A "seconds pendulum" is a [[pendulum]] with a half-period of one [[second]])</ref> (approximately 993&nbsp;mm) which he named the "standard" should be the basis of length.<ref>{{MacTutor|title=Christiaan Huygens|id=Huygens|date=January 2004}}</ref> He proposed further that the "measure of capacity" (base unit of [[volume]]) should be defined as a [[Cube (algebra)|cubic]] standard and that the "measure of weight" (base unit of [[mass|weight [mass]]]) should be the weight of a cubic standard of rainwater. All multiples and sub-multiples of each of these measures would be related to the base measure in a decimal manner. In short, Wilkins "proposed essentially what became&nbsp;... the French decimal metric system".<ref name="Quinn"/>
 
===Work of Gabriel Mouton===
In 1670, [[Gabriel Mouton]], a French abbot and astronomer, published the book ''Observationes diametrorum solis et lunae apparentium'' in which he proposed a decimal system of measurement of length for use by [[wiktionary:savant|savants]] in international communication, to be based on the dimensions of the Earth. The milliare would be defined as a [[minute of arc]] along a meridian and would be divided into 10 centuria, the centuria into 10 decuria and so on, successive units being the virga, virgula, decima, centesima, and the milles. Mouton used [[Giovanni Battista Riccioli|Riccioli's]] estimate that one degree of arc was 321,185 Bolognese feet, and his own experiments showed that a pendulum of length one virgula would beat 3959.2 times<ref group = Note>There were two beats in an oscillation.</ref> in half an hour.<ref>{{cite book
|pages = 123–129
|url = http://books.google.co.uk/books?id=uYCNFkRgXCoC&pg=PA49&source=gbs_toc_r&cad=4#v=onepage&q=mouton&f=false
|title = Revolution in Measurement: Western European Weights and Measures Since the Age of Science
|first1 = Ronald Edward
|last1 = Zupko
|year = 1990
|series = Memoirs of the American Philosophical Society, Volume 186
|isbn = 0-87169-186-8
|location = [[Philadelphia]]}}</ref> Current [[pendulum|pendulum theory]] shows that such a pendulum would have had an equivalent length of 205.6&nbsp;mm – using today's knowledge of the size of the earth, the virgula would have been approximately 185.2&nbsp;mm.<ref group = Note>Derived from the knowledge that the earth's circumference is approximately 40,000&nbsp;km.</ref> He believed that with this information ''savants'' in a foreign country would be able to construct a copy of the virgula for their own use.<ref name = Mouton>{{MacTutor|title=Gabriel Mouton|id=Mouton|date=June 2004}}</ref>
 
===17th Century developments===
[[File:MetricPendulums2.svg|thumb|Comparison of Wilkins' "Bob" pendulum and Jefferson's "rod" pendulum, both of which beat once per second]]
Communication of metrological information was one of the issues facing mid-seventeenth century savants; many discussed the possibility of scholarly communication using a so-called "universal measure" that was not tied to a particular national system of measurement.<ref name=Dew>{{cite book
|first1 = Dew
|last1 = Nicholas
|title = The hive and the pendulum: universal metrology and baroque science
|work = In Science in the Age of Baroque
|editor1-first = Ofer
|editor1-last = Gal
|editor2-first = Raz
|editor2-last = Chen-Morris
|location = Dordrecht
|publisher = Springer
|year = 2013
|isbn = 978-94-007-4807-1
|pages = 239–255}}</ref> Mouton's ideas attracted interest at the time; [[Jean Picard|Picard]] in his work ''Mesure de la Terre'' (1671) and [[Christiaan Huygens|Huygens]] in his work ''Horologium Oscillatorium sive de motu pendulorum'' (1673) both proposing that a standard unit of length be tied to the beat frequency of a pendulum.<ref name=Bigourdan>{{cite web
|url = http://smdsi.quartier-rural.org/histoire/precurs.htm
|title = Le système métrique des poids et des mesures
|language = French
|trans_title = The metric system of weights and measures
|author = G. Bigourdan
|quote = On voit que le projet de Mouton est, sans aucune différence de principe, celui qui a ét réalisé par notre Système métrique. [It can be seen that Mouton's proposal was, in principle, no different to the metric system as we know it.]
|year = 1901
|location = Paris
|accessdate = 2011-03-25}}</ref><ref name = Mouton/>
 
The [[French Academy of Sciences]] (Académie Royale des Sciences) interest in the pendulum experiments were effectively announced by Picard in his work ''Mesure de la Terre''. The length of a "second pendulum" was measured at a number of locations outside France, in 1671 at [[Uraniborg]], an island 26&nbsp;km north of [[Copenhagen]] and in 1672 [[Jean Richer]] measured one at [[Cayenne]] in [[French Guiana]], 5° north of the equator. There was no discernible difference between the Uraniborg pendulum and the Paris one, but there was a 2.81&nbsp;mm difference between the lengths of the Cayenne pendulum and that from Paris. Cooperation with the English Royal Society showed no discernible difference between pendulums measured in London and Paris, but measurements taken at [[Gorée]] in [[Senegal]], in West Africa were more in line with those taken at Cayenne.<ref name=Dew/><ref>{{MacTutor|id=Richer|title=Jean Richer|date=January 2012}}</ref><ref>{{citation
| last1 = Poynting
| first1 = John Henry
| first2 = Joseph John
| last2 = Thompson
| title = A Textbook of Physics: Properties of Matter
| edition = 4th
| publisher = Charles Griffin
| year = 1907
| location = London
| page = 20
| url = http://books.google.com/books?id=TL4KAAAAIAAJ&pg=PA20}}</ref> Meanwhile, in England, [[John Locke|Locke]], in his work ''[[An Essay Concerning Human Understanding]]'' (1689), made references to the "philosopher's foot" which he defined as being one third of a "second pendulum" at 45° latitude.<ref>{{cite book
|url = http://books.google.co.uk/books?id=gaP66nrOT6QC&pg=PA279&lpg=PA279&dq=Essay+Concerning+Human+Understanding+decimal&source=bl&ots=2NJIrm6HUz&sig=V6K5clI3icx_hubyTVm_mkJG-KM&hl=en&sa=X&ei=swT5ULLOGYTT0QWkrYHwBQ&ved=0CEsQ6AEwBQ#v=onepage&q=Essay%20Concerning%20Human%20Understanding%20decimal&f=false
|title = An Essay Concerning Human Understanding: Abridged with introduction and notes
|page = 279
|first1 = John
|last1 = Locke
|editor1-first = Kenneth P
|editor1-last = Walker
|isbn = 0-87220-217-8
|year = 1996
|origyear = 1689
|publisher = Hackett Publishing
|location = Indianapolis, Indiana
|edition = Abridged
|accessdate = 2013-01-18}}</ref>
 
In 1686 Englishman Newton, in his book ''[[Philosophiæ Naturalis Principia Mathematica]]'',  gave a theoretical explanation for the "bulging equator" which also explained the differences found in the lengths of the "second pendulums",<ref>{{cite book
|url = http://books.google.co.uk/books?id=hMgXh8jMSGgC&pg=PA269&lpg=PA269&dq=newton+equatorial+bulge&source=bl&ots=H_CVQpmz65&sig=U00R3tPlkG2rsvt5LkNOME3-VVQ&hl=en&sa=X&ei=F3zxUMbiN9GR0QWi8oGQBA&ved=0CFYQ6AEwBg#v=onepage&q=newton%20equatorial%20bulge&f=false
|page = 269
|publisher = [[Cambridge University Press]]
|year = 1989
|isbn = 0-521-24254-1
|title = Planetary astronomy from the Renaissance to the rise of astrophysics – Part A: tycho Brahe to Newton
|editor1-first = R
|editor1-last = Taton
|editor2-first = C
|editor2-last = Wilson}}</ref> theories that were confirmed by the Académie's expedition to Peru in 1735.<ref>{{cite book
|url = http://books.google.co.uk/books?id=0UzjTJ4w9yEC&pg=PA63&lpg=PA63&dq=1738+peru+flattening&source=bl&ots=ZaeXLxzBA2&sig=UaIWLnYH4HpwDHLRlViaIEH32i0&hl=en&sa=X&ei=UOn2UN-rIMrB0gW314CoAg&ved=0CDgQ6AEwAQ#v=onepage&q=1738%20peru%20flattening&f=false
|title = Flattening the earth : two thousand years of map projections
|first1 = John P
|last1 = Snyder
|year = 1993
|publisher = [[University of Chicago Press]]
|location=  Chicago
|page = 63
|isbn = 0-226-76747-7}}</ref><ref group=Note>The acceleration due to gravity at the poles is 9.832&nbsp;m/s<sup>−2</sup> and at the equator 9.780&nbsp;m/s<sup>−2</sup>, a difference of about 0.5%.[http://www.ucl.ac.uk/EarthSci/people/lidunka/GEOL2014/Geophysics2%20-%20Gravity/gravity.htm]</ref>
 
===18th Century international cooperation===
In the late eighteenth century proposals, similar to those of the seventeenth century for a universal measure, were made for a common international system of measure in the spheres of commerce and technology; when the [[French Revolution]]aries implemented such a system, they drew on many of the seventeenth century proposals.
 
In the early ninth century, when much of what later became France was part of the [[Holy Roman Empire]], units of measure had been standardised by the [[Charlemagne|Emperor Charlemagne]]. He had introduced standard units of measure for length and for mass throughout his empire. As the empire disintegrated into separate nations, including France, these standards diverged. It has been estimated that on the eve of the Revolution, a quarter of a million different units of measure were in use in France; in many cases the quantity associated with each unit of measure differed from town to town, and even from trade to trade.<ref name=Alder>{{cite book |isbn=978-0-349-11507-8 |author = Alder |title = The Measure of all Things – The Seven-Year-Odyssey that Transformed the World}}</ref>{{rp|2–3}} Although certain standards, such as the ''pied du roi'' (the King's foot) had a degree of pre-eminence and were used by scientists, many traders chose to use their own measuring devices, giving scope for fraud and hindering commerce and industry.<ref name=histmet>{{cite web
|url = http://www.french-metrology.com/en/history/history-mesurement.asp
|title = History of measurement
|publisher =  Laboratoire national de métrologie et d'essais (LNE) (Métrologie française)
|accessdate = 2011-02-06}}</ref> These variations were promoted by local vested interests, but hindered trade and taxation.<ref name="Larousse">{{Cite LarousseXIXe | title = Métrique | volume = 11 | pages = 163–64}}</ref><ref name="Nelson">{{citation | first = Robert A. | last = Nelson | title = Foundations of the international system of units (SI) | journal = Phys. Teacher | year = 1981 | page = 597 |url = http://www.physics.umd.edu/lecdem/services/refs_scanned_WIP/1%20-%20Krishna's%20LECDEM/A101/GetPDFServlet.pdf
}}</ref> In contrast, in England the [[Magna Carta]] (1215) had stipulated that "there shall be one unit of measure throughout the realm".<ref>{{cite web
|url = http://www.archives.gov/exhibits/featured_documents/magna_carta/translation.html
|title =  Magna Charta translation
|publisher = U.S. National Archives and Records Administration
|accessdate = 2011-03-25}}</ref>
[[File:Watt James von Breda.jpg|180px|thumb|[[James Watt]], British inventor and advocate of an international decimalized system of measure<ref name=JamesWatt/>]]
By the mid eighteenth century, it had become apparent that standardisation of weights and measures between nations who traded and exchanged scientific ideas with each other was necessary. Spain, for example, had aligned her units of measure with the royal units of France,<ref name = metricSpain/> and [[Peter the Great]] aligned the Russian units of measure with those of England.<ref>{{cite book
|url = http://www.archive.org/stream/modernmetrologym00jackrich/modernmetrologym00jackrich_djvu.txt
|title =  Modern metrology; a manual of the metrical units and systems of the present century (1882)
|last = Jackson
|first = Lowis D'Aguilar
|place = London
|publisher =  C Lockwood and co.
|page = 11
|accessdate = 2011-03-25}}</ref>  In 1783 the British inventor [[James Watt]], who was having difficulties in communicating with German scientists, called for the creation of a global decimal measurement system, proposing a system which, like the seventeenth century proposal of Wilkins, used the density of water to link length and mass<ref name=JamesWatt>{{cite book
|url = http://www.freeinfosociety.com/media/pdf/4750.pdf
|title = James Watt
|first = Andrew
|last = Carnegie
|pages = 59–60
|date = May 1905
|publisher = Doubleday, Page & Company
|accessdate =2011-10-20}}</ref> and in 1788 the French [[chemist]] [[Antoine Lavoisier]] commissioned a set of nine brass cylinders—a [French] pound and decimal subdivisions thereof for his experimental work.<ref name=Tavernor/>{{rp|71}}
 
In 1789 the French finances were in a perilous state, several years of poor harvests had resulted in hunger among the peasants and reforms were thwarted by vested interests.<ref>{{cite book
|title = A Dictionary of Modern History
|first1 = A W
|last1 = Palmer
|publisher = [[Penguin Books]]
|year = 1962
|at = French Revolution}}</ref> On 5 May 1789 [[Louis XVI of France|Louis XVI]] summoned the [[Estates-General of 1789|Estates-General]] which has been in abeyance since 1614 triggering a series of events that were to culminate in the [[French Revolution]]. On 20 June 1789 the newly formed [[National Assembly (French Revolution)|''Assemblée nationale'']] (National Assembly) took an [[Tennis Court Oath|oath]] not to disband until a constitution has been drafted resulting in the setting up, on 27 June 1789, of the [[National Constituent Assembly|''Assemblée nationale constituante'']] (Constituent Assembly).  On the same day, the [[French Academy of Sciences|''Académie des sciences'']] (Academy of Sciences) set up a committee to investigate the reform of weights and measures which, due to their diverse nature, had become a vehicle for corruption.<ref name=Alder/>{{rp|2–3}}<ref name=Konvitz/>{{rp|46}}
[[File:Nicolas de Condorcet.PNG|180px|left|thumb|The Marquis de Condorcet – "The metric system is for all people for all time."]] On 4 August 1789, three weeks after the [[storming of the Bastille]] the nobility surrendered their privileges, including the right to control local weights and measures.<ref name=Alder/>{{rp|88}}
[[Charles Maurice de Talleyrand-Périgord|Talleyrand]], ''Assemblée'' representative of the clergy, revolutionary leader and former [[Roman Catholic Diocese of Autun|Bishop of Autun]], at the prompting of the mathematician and secretary of the ''Académie'' [[Condorcet]],<ref>{{MacTutor|id=Condorset|title=Marie Jean Antoine Nicolas de Caritat Condorcet}}</ref> approached the British and the Americans in early 1790 with proposals of a joint effort to define a common standard of length based on the length of a pendulum.  Great Britain, represented by [[John Riggs Miller]] and the United States represented by [[Thomas Jefferson]] agreed in principle to the proposal, but the choice of latitude for the pendulum proved to be a sticking point: Jefferson opting for 38°N, Talleyrand for 45°N and Riggs-Miller for London's latitude.<ref name=Alder/>{{rp|93–95}}  On 8 May 1790 Talleyrand's proposal in the ''Assemblée'' that the new measure be defined at 45°N "or whatever latitude might be preferred"<ref name=LoisEtDecret>{{cite web
|url = http://www.metrodiff.org/cmsms/index.php/histoire/menu-manager-2.html
|work = Histoire de la métrologie
|language = French
|title = Lois et décrets
|trans_title = Laws and decrees
|publisher = Association Métrodiff
|location = Paris
|accessdate = 2013-01-14}}</ref> won the support of all parties concerned.<ref name="Larousse"/> On 13 July 1790, Jefferson presented a document ''[[Plan for Establishing Uniformity in the Coinage, Weights, and Measures of the United States]]'' to the [[United States House of Representatives|U.S. Congress]] in which, like Wilkins, he advocated a decimal system in which units that used traditional names such as inches, feet, roods were related to each by the [[Exponentiation#Powers of ten|powers of ten]]. Again, like Wilkins, he proposed a system of weights based around the weight of a cubic unit of water, but unlike Wilkins, he proposed a "rod pendulum" rather than a "bob pendulum".<ref>{{cite web
|url = http://avalon.law.yale.edu/18th_century/jeffplan.asp
|title = Plan for Establishing Uniformity in the Coinage, Weights, and Measures of the United States; Communicated to the House of Representatives July 13, 1790
|date = 4 July 1790
|location = [[New York]]
|first1 = Thomas
|last1 = [[Thomas Jefferson|Jefferson]]
|accessdate = 2012-11-12}}</ref> Riggs-Miller promoted Tallyrand's proposal in the [[House of Commons of Great Britain|British House of Commons]].
 
In response to Tallyrand's proposal of 1790, the ''Assemblée'' set up a new committee under the auspices of the ''Académie'' to investigate weights and measures. The members were five of the most able scientists of the day—[[Jean-Charles de Borda]], [[Joseph-Louis Lagrange]], [[Pierre-Simon Laplace]], [[Gaspard Monge]] and Condorcet.  The committee, having decided that counting and weights and measures should use the same [[radix]], debated the use of the [[Duodecimal|duodecimal system]] as an alternative to the decimal system. Eventually the committee decided that the advantages of divisibility by three and four was outweighed by the complications of introducing a duodecimal system and on 27 October 1790 recommended to the ''Assemblée'' that currency, weights and measures should all be based on a decimal system. They also argued in favour of the decimalization of [[time]] and of [[Angle|angular measures]].<ref name=Tavernor/>{{rp|71–72}} The committee examined three possible standards for length – the length of pendulum that beat with a frequency of once a second at 45° latitude, a quarter of the length of the [[equator]] and a quarter of the length of a [[meridian (geography)|meridian]].  The committee also proposed that the standard for weight should be the weight of distilled water held in cube with sides a decimal proportion of the standard for length.<ref name="Tavernor"/>{{rp|50–51}}<ref name=Adams>{{cite book
|url = http://archive.org/details/reportuponweight1821unit
|title = Report upon Weights and Measures
|author = [[John Quincy Adams|Adams,John Quincy]]
|location = Washington DC
|publisher =  [[United States Secretary of State|Office of the Secretary of State of the United States]]
|date = 22 February 1821}}</ref><ref name=18germ_3/> The committee's final report to the ''Assemblée'' on 17 March 1791 recommended the [[Metre#Meridional definition|meridional definition]] for the unit of length.<ref>{{cite journal
|url = http://www.jstor.org/discover/10.2307/301613?uid=3738032&uid=2129&uid=2&uid=70&uid=4&sid=21102444561261
|title = Legendre and the French Reform of Weights and Measures
|publisher = University of Chicago Press
|volume = 1
|date = January 1936
|journal = Osiris
|pages = 314–340}}</ref><ref name=Glasser>{{cite book
|url = http://www.eipiphiny.org/books/history-of-binary.pdf
|pages = 71–72
|title =  History of Binary and other Nondecimal Numeration
|first1 = Anton
|last1 = Glaser
|publisher = Tomash
|year = 1981
|isbn = 0-938228-00-5
|edition = Revised
|origyear = 1971
|accessdate = 2013-04-05}}</ref> inventor of the [[repeating circle]] was appointed chairman.<ref name=Alder/>{{rp|20–21}} The proposal was accepted by the ''Assemblée'' on 30 March 1791.<ref name=LoisEtDecret/>
 
Jefferson's report was considered but not adopted by the U.S. Congress and Riggs-Miller lost his British Parliamentary seat in the [[British general election, 1790|election of 1790]].<ref>{{ODNBweb|id=64753|title=Riggs-Miller}}</ref> When the French later overthrew their monarchy Britain withdrew her support.<ref name=Alder/>{{rp|252–253}} and France decided to "go it alone".<ref name=Alder/>{{rp|88–96}}
 
===Roles of Wilkins and Mouton ===
In the past many writers such as Bigourdan (France, 1903) and McGreevy (United Kingdom, 1995) credited Mouton as the "founding father" of the metric system.<ref name=Bigourdan/><ref name=McGreevy/>{{rp|140}}  In 2007 the Australian researcher Pat Naughtin "rediscovered"  Wilkins proposal for a universal system of measurement in Wilkins' ''Essay'', a work that predated Mouton's proposal by two years.<ref name=Rooney>{{cite book
|url = http://books.google.co.uk/books?id=5O67iqeIHZ8C&pg=PA65&lpg=PA65&dq=Naughtin+wilkins+2007&source=bl&ots=zBtxsKaSPb&sig=f8V3S_r34OU7U9H0KGGkaDHn0m0&hl=en&sa=X&ei=zXFXUuvcDsrF0QWgn4DgCw&ved=0CFAQ6AEwBjgK#v=onepage&q=Naughtin%20wilkins%202007&f=false
|title = The History of Mathematics
|first1 = Anne
|last1 = Rooney
|publisher = Rosen Publishing Group
|location = New York
|isbn = 978-1-4488-7227-5
|year = 2013
|page = 65}}</ref><ref name=Naughtin2007/> Wilkins' proposal, unlike Mouton's proposal, discussed an integrated measurement system that encompassed length, volume and mass rather than just length.
Wilkins' ''Essay'' was widely circulated at the time but the main interest in the ''Essay'' was his proposal for a philosophical language in general rather than just a universal standard for units of measure.<ref name=Barbara>{{cite book
|url = http://books.google.co.uk/books?id=zuNHKDNiwJMC&pg=PA221&lpg=PA221&dq=wilkins+essay+french&source=bl&ots=83ki7CSRpM&sig=RjLbdzP5W3y1bm6Cs3UKKHndaSI&hl=en&sa=X&ei=AzrxUOjjKcjJ0QWosIDADg&ved=0CF0Q6AEwCA#v=onepage&q=wilkins%20essay%20french&f=false
|title = John Wilkins: 1614–1672
|first1 = Barbara J.
|last1 = Shapiro
|page = 221
|publisher = [[University of California Press]]
|location = [[Berkeley, California|Berkeley]], [[Los Angeles]], London
|year = 1969}}</ref>  Subsequent interest in Wilkins' ''Essay'' was confined mainly to those interested in the field of [[onomasiology]] rather than [[metrology]]: for example, [[Peter Mark Roget|Roget]] in the introduction of his [[Roget's Thesaurus|Thesaurus]] (1852), noted Wilkins' ''Essay'' as being one of the leading seventeenth-century works in onomasiology.<ref>{{cite book
|url = http://www.oxfordscholarship.com/view/10.1093/acprof:oso/9780199254729.001.0001/acprof-9780199254729-chapter-7?rskey=eO3fl2&result=1&q=David%20Booth
|title = A History of Roget's Thesaurus: Origins, Development, and Design
|first1 = Werner
|last1 = Hüllen
|year = 2003
|at = Section 7.1.2
|isbn = 978-0-19-925472-9
|publisher = Oxford Scholarship Online
|accessdate = 2013-01-17}}</ref> 
British commentators of the ''Essay'' devoted little space to Wilkins' proposals of measurement; Vernon et al. (1802) made a passing comment to the section on measurements in an eight-page study of the ''Essay''<ref>{{cite book
|url = http://archive.org/stream/mathematicaland01wilkgoog#page/n6/mode/2up
|title = The Mathematical and Philosophical Works of the Rt Rev. John Wilkins, late Lord Bishop of Chester to which is prefixed the Author's Life and an Account of his works, Volume II
|year = 1802
|location = London
|pages = 247–258
|author = Vernon ''et al''}}</ref> while Wright-Henderson (1910), in a four-page study of the ''Essay'', made no comments about measurements at all.<ref name=WH>{{cite book
|url = http://archive.org/stream/lifetimesofjohnw00wrigrich#page/n9/mode/2up
|title = The Life and Times of John Wilkins
|pages = 85–89
|first1 = P A
|last1 = Wright Henderson
|publisher = William Blackwood and Sons
|location = London and Edinburgh
|year = 1910}}</ref>
 
Mouton's proposals were taken seriously by, amongst others, the seventeenth century scientists [[Jean Picard]] and [[Christiaan Huygens]] but a hundred years were to elapse before the French again took interest in the underlying theory of the development of systems of measure.<ref name = Mouton/>
 
Shortly after the introduction of the metric system by the French, a letter by an anonymous but regular contributor to the ''[[Philosophical Magazine|The Philosophical Magazine]]'' (1805) noted the lack of acknowledgement by the French of Wilkins' publication. The writer accused the editors of ''[[Encyclopédie]]'' of giving unwarranted attention to the work of Mouton and Huygens at the expense of [[Edward Wright (mathematician)|Edward Wright]] who, in 1599 had proposed using the earth's meridian as a standard and of Wilkins who had proposed a measurement system. He took British writers to task for not "defending their countrymen". He went on to note that there was considerable communication between ''savants'' on either side of the [[English Channel|Channel]], particularly with Huygens and [[Liebnitz]] either visiting or being members of both the Royal Society and the [[French Academy of Sciences|''Académie Royale des Sciences'']].<ref name=PhilMag>{{cite journal
|title = Wright on measuring the Meridian — Wright, Wren and Wilkins on an Universal Measure – J. Baptista Porta on the Reflection of Heat, Cold and Sound from concave Mirrors
|pages = 163–173
|journal = [[Philosophical Magazine|The Philosophical Magazine]]
|number = LXXXII
|volume = 21
|date = March 1805
|editor-first = Alexander
|editor-last = Tilloch
|publisher = R. Taylor & Co
|location = London
|url = http://ia700301.us.archive.org/10/items/lepidopterarepor21winc/lepidopterarepor21winc.pdf
|author = ''Anonymous''}}</ref>
 
==Implementation in Revolutionary France (1792–1812)==
When the National Assembly accepted the committee's report on 30 March 1791, the ''Académie des sciences'' was instructed to implement the proposals.  The ''Académie'' broke the tasks into five operations, allocating each part to a separate [[working group]]:<ref name=Tavernor/>{{rp|82}}
#Measuring the difference in latitude between [[Dunkirk]] and [[Barcelona]] and [[Triangulation|triangulating]] between them ([[Dominique, comte de Cassini|Cassini]], [[Pierre Méchain|Méchain]], and [[Adrien-Marie Legendre|Legendre]]) 
#Measuring the baselines used for the survey ([[Gaspard Monge|Monge]], [[Jean Baptiste Meusnier|Meusnier]])
#Verifying the length of the second pendulum at 45° latitude ([[Jean-Charles de Borda|de Borda]] and [[Charles-Augustin de Coulomb|de Coulomb]]).
#Verifying the weight in vacuo of a given volume of distilled water ([[Antoine Lavoisier]] and [[René Just Haüy]]).
#Publishing conversion tables relating the new units of measure to the existing units of measure ([[Mathieu Tillet|Tillet]]).
On 19 June 1791, the day before [[Louis XVI of France|Louis XVI's]] [[flight to Varennes]] Cassini, Méchain, Legendre and Borda obtained a royal audience where the king agreed to fund both the measurement of the meridian and repeating the measurements made by Cassini's father.  The king's authorization arrived on 24 June 1791.<ref name=Alder/>{{rp|20–21}}
 
During the political turmoil that followed the king's flight to Varennes, the reform of weights and measures and in particular the measurement of the meridian continued albeit with interruptions, though the structure of the commission changed with the changing political climate.  In May 1792 Cassini, loyal to Louis XVI but not to the Revolution was replaced by [[Jean Baptiste Joseph Delambre|Delambre]]<ref>{{MacTutor|id=Cassini|title=Jean-Dominique Comte de Cassini}}</ref> and on 11 July 1792 the Commission formally proposed the names "''metre''", "''litre''" and multipliers "''centi''", "''kilo''" etc. to the Assembly.<ref name=Tavernor/>{{rp|82}}
 
Louis XVI was executed on 21 January 1793 and on 8 August of that year, on the eve of the [[Reign of Terror]] the new ''de facto'' government executive, the [[Committee of Public Safety]] suppressed all academies and with it the commission, requiring them to justify their existence. [[Antoine François, comte de Fourcroy]], a member of the convention argued that the importance of reforming weights and measures was such that the work of the commission should be allowed to continue.  On 11 September 1793 the commission was reconstituted as the ''commission temporaire''.<ref name=Hellman>{{cite journal
|journal = Osiris
|volume = 1
|date = January 1936
|pages = 314–340
|url = http://www.jstor.org/discover/stable/301613
|publisher = University of Chicago
|title = Legendre and the French Reform of Weights and Measures
|first1 = C. Doris
|last1 = Hellman
|accessdate = 2013-07-18}}</ref>
 
On 7 April 1795 the metric system was formally defined in French law and provisional standards based on Cassini's survey of 1740 adopted.  On 22 October 1795 the work of the commission (since reconstituted as a three-man ''agence temporaire'' under Legendre's directorship) was taken over by the newly formed National Institute of Arts and Science and under the new government, the [[French Directory|Directory]], was transferred to the "Office for Weights and Measures" under the [[Minister of the Interior (France)|Minister of the Interior]].<ref name=Tavernor/>{{rp|96–97}}
 
On 15 November 1798 Delambre and Méchain returned to Paris with their data, having completed the survey of the Dunkirk-Barcelona meridian.  The data was analysed and a prototype metre constructed from [[platinum]] with a length of  443.296 ''lignes''.<ref group=Note>The French ''pied'' ([[Foot (unit)|foot]]) has 12 ''pouce'' ([[inch]]es) and each ''pouce'' has 12 ''lignes'' ([[Line (unit)|lines]]).  The French units are 6.57% larger than their English counterparts.</ref> At the same time a prototype kilogram was constructed – the mass of a cube of water at 4°C, each side of the cube being 0.1 metres. The prototype metre was presented to the French legislative assemblies on 22 June 1799.<ref name=Alder/>{{rp|265–266}}<ref>{{cite web
|url = http://www.bipm.org/en/si/history-si/
|title = Brief history of the SI
|publisher = [[International Bureau of Weights and Measures]]
|accessdate = 2013-07-19}}</ref>
 
===Decimal time (1793)===
{{main|French Republican Calendar}}
[[File:Horloge-republicaine4.jpg|150px|thumb|A clock of the republican era showing both [[Decimal time|decimal]] and [[standard time]]]]
The decree of 5 October 1793 introduced the [[French Republican Calendar|Republican Calendar]] into France and with it decimalised time.<ref>{{cite web
|url = http://www.gefrance.com/calrep/decrets.htm
|title = Le Calendrier Républicain –  Textes officiels Décrets Relatifs à l'établissement de l'Ère Républicaine
|trans_title = The Republican Calendar – Official texts of decrees issued by the 1st Republic
|language = French
|accessdate = 2013-07-17
|date = 5 October 1793}}</ref> The day was divided into 10 "decimal hours", the "hour" into 100 "decimal minutes" and the "decimal minute" into 100 "decimal seconds". The "decimal hour" corresponded to 2&nbsp;hr&nbsp;24&nbsp;min, the "decimal minute" to 1.44&nbsp;min and the "decimal second" to 0.864&nbsp;s. The revolutionary week was 10&nbsp;days, but there were still twelve months in a year, each month consisting of three "weeks".  Each year had five or six [[Sansculottides|intercalary days]] to make up the total of 365 or 366 days.<ref name=LoisEtDecret/><ref name=antique-horology>{{cite web
|url =  http://www.antique-horology.org/_Editorial/RepublicanCalendar/default.htm#Calendar%20and%20time
|title = Dials & Symbols of the French revolution. The Republican Calendar and Decimal time
|publisher = The Horological Foundation
|accessdate = 2011-03-07}}</ref>
 
The implementation of decimal time proved an immense task and under the article 22 of the law of 18 Germinal, Year III (7 April 1795), the use of decimal time was no longer mandatory, though the Republican Calendar was retained.<ref name=18germ_3>{{cite web
|url = http://www.metrodiff.org/cmsms/index.php?page=18_germinal_an_3
|title = Décret relatif aux poids et aux mesures. 18 germinal an 3 (7 avril 1795)
|language = French
|trans_title = Decree regarding weights and measures: 18 Germinal Year III (7 April 1795)
|publisher = Association Métrodiff
|work = Le systeme metrique decimal
|accessdate = 2011-02-07}}</ref> On 1 January 1806, France reverted to the traditional timekeeping.<ref name=antique-horology/>
[[File:Cercle-reflexion-Lenoir.jpg|150px|thumb|left|[[Repeating circle]] – the instrument used for triangulation when measuring the meridian]]
 
===Angular measure (c. 1793)===
Although there was no specific decree regarding angular measure which was also decimalised during the 1790s, it is reported to have been used in 1794,<ref name=Konvitz>{{cite book
|title = Cartography in France, 1660–1848: Science, Engineering, and Statecraft
|first1 = Josef
|last1 = Konvitz
|url = http://books.google.co.uk/books?id=-I6WurxXeI0C&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false
|year = 1987
|publisher = University of Chicago Press
|isbn = 0-226-45094-5}}</ref>{{rp|51}} but was not mentioned in the metric system decree of 1795.<ref name=18germ_3/> In particular, the  [[repeating circle]], invented in about 1787 by Borda, himself a strong proponent of decimalization, was adapted to use decimal angles.<ref>{{cite journal
|title = The great logarithmic and trigonometric tables of the French Cadastre: a preliminary investigation
|first1 = Denis
|last1 = Roegel
|date = 11 January 2011
|page = 19
|url = http://locomat.loria.fr/cadastre/analysis.pdf
|publisher = Project LOCOMAT, [[Nancy, France]]
|accessdate = 2013-07-18}}</ref>
 
A [[Gradian|grade (or gon)]] was defined as being {{fract|1|100}} of a [[Quadrant (plane geometry)|quadrant]], making 400 grades in a full circle.  Fractions of the grade used the standard metric prefixes, thus one centigrade was {{frac|1|10000}} of a quadrant, making one centigrade of longitude approximately one [[kilometre]].
 
The adoption of the grade by the cartographic community was sufficient to warrant a mention in the ''Lexicographia-neologica Gallica''<ref>{{OED|grade}}</ref> in 1801 and its use continued on military maps through the nineteenth century<ref>For example this [[Media:1852 Depot de Guerre Map of Paris and its Environs, France - Geographicus - Paris-depotdegeurre-1852.jpg|1852military map of Paris]]</ref> into the twentieth century.<ref>For example this [[Media:1902 L'Armee Case Map of Paris and Environs - Geographicus - Paris-armee-1902.jpg|1902 military map of Paris]].</ref>  It appears not to have been widely used outside cartography.<ref>{{cite book
|url = http://quod.lib.umich.edu/m/moa/AAW9182.0001.001?rgn=main;view=fulltext
|title =Course in elementary physics
|page = 17
|year = 1873
|location = Boston
|author = Cross, Charles R ([[Massachusetts Institute of Technology]])
|accessdate = 2013-07-14}}</ref>  The ''centigrade'', as an angular measure, was adopted for general use in a number countries, so in 1948 the [[General Conference on Weights and Measures]] (CGPM) recommended that the degree centigrade, as used for the measurement of temperature, be renamed the [[Celsius|degree Celsius]].<ref>{{cite web
|url = http://www.bipm.org/en/committees/cipm/cipm-1948.html
|title =  CIPM, 1948 and 9th CGPM, 1948
|accessdate = 2011-02-08
|publisher = [[International Bureau of Weights and Measures]] (BIPM)}}</ref> The SI Brochure (2006) notes that the gon is now a little-used alternative to the [[Degree (angle)|degree]].<ref>{{SIBrochure8th|page=124}}</ref>
 
===Draft metric system (1795)===
[[File:Obs-Paris-meridienne.jpg|200px|right|thumb|The Paris meridian which passes through the [[Paris Observatory]] (''Observatoire de Paris''). The metre was defined along this meridian using a survey that stretched from [[Dunkirk]] to [[Barcelona]].]]
In France, the metric system of measure was first given a legal basis in 1795 by the [[French Revolution]]ary government. Article 5 of the law of 18 Germinal, Year III (7 April 1795) defined five units of measure. The units and their preliminary values were:<ref name=18germ_3/>
*The ''[[metre]]'', for length – defined as being one ten millionth of the distance between the [[North Pole]] and the [[Equator]] through [[Paris]]
*The ''[[Hectare|are]]''&nbsp;(100&nbsp;m<sup>2</sup>) for area [of land]
*The ''[[stère]]''&nbsp;(1&nbsp;m<sup>3</sup>)  for volume of firewood
*The ''[[litre]]''&nbsp;(1&nbsp;dm<sup>3</sup>)  for volumes of liquid
*The ''[[gramme]]'', for mass – defined as being the mass of one cubic centimetre of water
 
Decimal multiples of these units were defined by Greek [[SI prefix|prefixes]]: ''"myria"'' (10,000), ''"kilo"'' (1000), ''"hecta"'' (100) and  ''"deka"'' (10) and submultiples were defined by the Latin prefixes ''"deci"'' (0.1), ''"centi"'' (0.01) and ''"milli"'' (0.001).<ref>{{cite journal
|journal = A Journal of Natural Philosophy, Chemistry and the Arts
|title = An account of the New System of measures established in France
|first1 = Ch
|last1 = Coquebert
|date = August 1797
|volume = 1
|pages = 193–200
|accessdate = 16 October 2013}}</ref> Using [[César-François Cassini de Thury|Cassini's]] survey of 1744, a provisional value of 443.44 ''lignes'' was assigned to the metre which, in turn, defined the other units of measure.<ref  name=Alder/>{{rp|106}}
 
The final value of the ''metre'' was defined in 1799 when Delambre and Méchain presented the results of their [[History of the metre|survey between Dunkirk and Barcelona]] which fixed the length of the ''metre'' at 443.296 ''lignes''. The law 19 Frimaire An VIII (10 December 1799) defined the ''metre'' in terms of this value and the ''kilogramme'' as being 18827.15 ''grains''. These definitions enabled reference copies of the kilograms and metres to be constructed and these were used as the standards for the next 90 years.<ref>{{cite web
|url = http://www.culture.gouv.fr/culture/actualites/celebrations/metre.htm
|language = French
|title =  Fixation de la longueur définitive du mètre
|trans_title = Establishing the definitive metre
|author = Suzanne Débarbat
|publisher = Ministère de la culture et de la communication ([[French language|French]] ministry of culture and communications)
|accessdate = 2011-03-01}}</ref><ref>{{cite journal
|url = http://www.platinummetalsreview.com/journal-archive/?decade=1991-2000
|accessdate = 2012-11-10
|title = The Foundation of the Metric System in France in the 1790s: The importance of Etienne Lenoir's platinum measuring instruments
|first1 = William A.  
|last1 = Smeaton
|location = [[Ely, Cambridgeshire]], United Kingdom
|journal = Platinum Metals Rev.
|year = 2000
|volume = 44
|number = 3
|pages = 125–134}}</ref>
 
===Meridianal definition===
[[File:Dunkerque Belfort.JPG|thumb|left|200px|Belfry, Dunkirk – the northern end of the meridian arc]]
The question of measurement reform in France was placed in the hands of the [[Academy of Sciences (France)|French Academy of Sciences]] who appointed a commission chaired by [[Jean-Charles de Borda]]. Borda could be said to have been a fanatic for decimalization: he had designed the [[repeating circle]], a surveying instrument which allowed a much-improved precision in the measurement of angles between landmarks, but insisted that it be calibrated in "''[[grad (angle)|grades]]''" ({{frac|100}} of a quarter-circle) rather than [[degree (angle)|degree]]s, with 100&nbsp;minutes to a ''grade'' and 100&nbsp;seconds to a minute.<ref>{{citation | title = Jean Charles de Borda | url = http://www-history.mcs.st-andrews.ac.uk/Biographies/Borda.html | publisher = MacTutor | accessdate = 2010-08-13}}</ref> The instrument was manufactured by [[Étienne Lenoir (instrument maker)|Étienne Lenoir]].<ref>{{cite journal
|url = http://www.platinummetalsreview.com/article/44/3/125-134/
|accessdate = 2013-06-18
|title = The Foundation of the Metric System in France in the 1790s: The importance of Etienne Lenoir's platinum measuring instruments
|first1 = William A.
|last1 = Smeaton
|location = [[Ely, Cambridgeshire]], United Kingdom
|journal = Platinum Metals Rev.
|year = 2000
|volume = 44
|number = 3
|pages = 125–134}}</ref> For Borda, the seconds pendulum was a poor choice for a standard because the second (as a unit of time) was insufficiently decimal: he preferred the new system of 10&nbsp;hours to the day, 100&nbsp;minutes to the hour and 100&nbsp;seconds to the minute.
 
Instead, the commission – whose members included [[Joseph-Louis Lagrange|Lagrange]], [[Pierre-Simon Laplace|Laplace]], [[Gaspard Monge|Monge]] and [[Nicolas de Condorcet|Condorcet]] – decided that the new measure should be equal to one ten-millionth of the distance from the North Pole to the Equator (the quadrant of the Earth's circumference), measured along the [[meridian (geography)|meridian]] passing through Paris.<ref name="Larousse"/> Apart from the obvious nationalistic considerations, the [[Paris meridian]] was also a sound choice for practical scientific reasons: a portion of the quadrant from Dunkerque to Barcelona (about 1000&nbsp;km, or one-tenth of the total) could be surveyed with start- and end-points at sea level, and that portion was roughly in the middle of the quadrant, where the effects of the Earth's oblateness were expected to be the largest.<ref name="Larousse"/>
 
[[File:Rodez-coquelicots480.JPG|200px|thumb|right|The north and south sections of the meridianal survey met at Rodez cathederal, seen here dominating the Rodez skyline]]
The task of surveying the [[meridian arc]], which was authorized by [[Louis XVI]]<ref name=Alder/>{{rp|21–33}} and which was estimated to take two years, fell to [[Pierre Méchain]] and [[Jean-Baptiste Delambre]].  The task eventually took more than six years (1792–98) with delays caused not only by unforeseen technical difficulties but also by the convulsed period of the aftermath of the Revolution.<ref name=Alder/> In the meantime, the commission calculated a provisional value from older surveys of 443.44&nbsp;''[[ligne]]s''.<ref name="lignes" group = Note>All values in ''lignes'' are referred to the ''[[toise de Pérou]]'', not to the later value in ''[[mesures usuelles]]''. 1&nbsp;''[[toise]]''&nbsp;= 6&nbsp;''[[foot (measurement)|pied]]s''; 1&nbsp;''pied''&nbsp;= 12&nbsp;''[[pouce]]s''; 1&nbsp;''pouce''&nbsp;= 12&nbsp;''lignes''; so 864&nbsp;''lignes''&nbsp;= 1&nbsp;''toise''.</ref>
 
The project was split into two parts – the northern section of 742.7&nbsp;km from the Belfry, [[Dunkirk]] to [[Rodez|Rodez Cathederal]] which was surveyed by Delambre and the southern section of 333.0&nbsp;km from [[Rodez]] to the [[Montjuïc|Montjuïc Fortress]], [[Barcelona]] which was surveyed by Méchain.<ref name=Alder/>{{rp| 227–230}}<ref group = Note>Distances measured using Google Earth. The coordinates are:<br> {{Coord|51|02|08|N|2|22|34|E|region:FR-O_type:landmark|name= Belfry, Dunkirk}} – Belfry, Dunkirk<br>
{{Coord|44|25|57|N|2|34|24|E|region:FR-N_type:landmark|name=Rodez Cathederal}} – [[Rodez]] Cathederal<br>
{{Coord|41|21|48|N|2|10|01|E|region:ES-CT_type:landmark|name= Montjuïc, Barcelona}} – [[Montjuïc]], [[Barcelona]]</ref>
 
Delambre used a baseline of about 10&nbsp;km in length along a straight road, located close to [[Melun]]. In an operation taking six weeks, the baseline was accurately measured using four platinum rods, each of length two ''toise'' (about 3.9&nbsp;m).<ref name=Alder/>{{rp| 227–230}} Thereafter he used, where possible, the triangulation points used by [[César-François Cassini de Thury|Cassini]] in his 1744 survey of France. Méchain's baseline, of a similar length, and also on a straight section of road was in the [[Perpignan]] area.<ref name=Alder/>{{rp| 240–241}} Although Méchain's sector was half the length of Delambre, it included the [[Pyrenees]] and hitherto unsurveyed parts of Spain. After the two surveyors met, each computed the other's baseline in order to cross-check their results and they then recomputed the kilometre. Their result came out at 0.144&nbsp;''lignes'' shorter than the provisional value, a difference of about 0.03%.<ref name="Larousse"/>
[[File:Monjuic's castle in Barcelona.jpg|thumb|left|200px|Fortress of Montjuïc – the southern end of the meridian arc]]
 
===''Mètre des Archives''===
While Méchain and Delambre were completing their survey, the commission had ordered a series of [[platinum]] bars to be made based on the provisional metre. When the final result was known, the bar whose length was closest to the meridianal definition of the metre was selected and placed in the French National Archives on 22&nbsp;June 1799 (4&nbsp;messidor An&nbsp;VII in the Republican calendar) as a permanent record of the result:<ref name="Larousse"/> this standard metre bar became known as the ''mètre des Archives''.
 
The [[metric system]], that is the system of units based on the metre, was officially adopted in France on 10&nbsp;December 1799 (19&nbsp;frimaire An&nbsp;VIII) and became the sole legal system of weights and measures there from 1801.
 
It soon became apparent that Méchain and Delambre's result (443.296&nbsp;''lignes'')<ref name="lignes" group = Note/> was slightly too short for the meridianal definition of the metre. [[François Arago|Arago]] and [[Jean-Baptiste Biot|Biot]] extended the survey to the island of [[Formentera]] in the western Mediterranean Sea in 1806–9, and found that one ten-millionth of the Earth's quadrant should be 443.31&nbsp;''lignes'': later work increased the value to 443.39&nbsp;''lignes''.<ref name="Larousse"/> The modern value, for the WGS&nbsp;84 reference spheroid, is {{nowrap|1.000 196 57}}&nbsp;m or {{nowrap|443.383 08}}&nbsp;''lignes''.<ref group = Note>The WGS&nbsp;84 reference spheroid has a semi-major axis of {{nowrap|6 378 137.0 m}} and a flattening of {{frac|{{nowrap|298.257 223 563}}}}.</ref>
 
Nevertheless, the ''mètre des Archives'' remained the legal and practical standard for the metre in France, even once it was known that it did not exactly correspond to the meridianal definition. When, in 1867, it was proposed that a new international standard metre be created, the length was taken to be that of the ''mètre des Archives'' "in the state in which it shall be found".<ref name="MComm">{{citation | title = The International Metre Commission (1870–1872) | url = http://www.bipm.org/en/si/history-si/commission.html | publisher = International Bureau of Weights and Measures | accessdate = 2010-08-15}}</ref><ref name="BIPMhist">{{citation | title = The BIPM and the evolution of the definition of the metre | url = http://www.bipm.org/en/si/history-si/evolution_metre.html | publisher = International Bureau of Weights and Measures | accessdate = 2010-08-15}}</ref>
 
===''Kilogramme des Archives''===
On 7 April 1795, the ''gramme'', upon which the kilogram is based, was decreed to be equal to "the absolute weight of a volume of pure water equal to a cube of one hundredth of a metre, and at the temperature of the melting ice".<ref name=18germ_3/> Although this was the ''definition'' of the gram, the regulation of trade and commerce required a "practical realisation": a single-piece, metallic reference standard that was one thousand times more massive that would be known as ''grave'' (symbol "G"). This mass unit, whose name is derived from the word "gravity", defined by [[Antoine Lavoisier|Lavoisier]] and [[René Just Haüy]] had been in use since 1793.<ref>{{cite web
|url =http://historyofscience.free.fr/Lavoisier-Friends/a_chap8_lavoisier.html
|title = Chapter 8: Lavoisier, Arts and Trades
|work = Antoine-Laurent de Lavoisier (1743–1794 – Life and Works
|publisher = Comité Lavoisier de l'Académie des Sciences de Paris
|first = Jean-Pierre
|last =Poirier
|accessdate = 2011-08-04}}</ref> Notwithstanding that the ''definition'' of the base unit of mass was the ''gramme'' (alternatively "''gravet''"), this new, practical realisation would ultimately become the base unit of mass. A provisional kilogram standard was made and work was commissioned to determine the precise mass of a cubic decimetre (later to be defined as equal to one [[litre]]) of water.
 
Although the decreed definition of the ''kilogramme'' specified water at 0&nbsp;°C — a highly stable temperature point — the scientists tasked with producing the new practical realisation chose to redefine the standard and perform their measurements at the most stable density point: the temperature at which water reaches maximum density, which was measured at the time as 4&nbsp;°C.<ref>''L'Histoire Du Mètre, La Détermination De L'Unité De Poids'', link to Web site [http://histoire.du.metre.free.fr/fr/index.htm here.]</ref> They concluded that one cubic decimetre of water at its maximum density was equal to 99.92072% of the mass of the provisional kilogram made earlier that year.<ref>''[http://www.sizes.com/units/kilogram.htm History of the kilogram]''</ref> Four years later in 1799, an all-platinum standard, the "''Kilogramme des Archives''", was fabricated with the objective that it would equal, as close as was scientifically feasible for the day, to the mass of cubic decimetre of water at 4&nbsp;°C. The ''kilogramme'' was defined to be equal to the mass of the ''Kilogramme des Archives'' and this standard stood for the next ninety years.
 
Note that the new metric system did not come into effect in France until after the [[French Revolution]], when the new revolutionary government captured the idea of the metric system. The decision of the Republican government to name this new unit the "''kilogramme''" had been mainly politically motivated, because the name "''grave''" was at that time considered politically incorrect as it resembled the aristocratic German title of the ''[[Graf]]'', an alternative name for the title of [[Count]] that, like other nobility titles, was inconsistent with the [[Liberté, égalité, fraternité|new French Republic notion of equality (''égalité'')]].<ref>[http://www.bipm.org/en/si/history-si/name_kg.html BIPM – the name "kilogram"]</ref> Accordingly, the name of the original, defined unit of mass, "''gramme''", which was too small to serve as a practical realisation, was adopted and the new prefix "kilo" was appended to it to form the name "''kilogramme''". Consequently, the kilogram is the only [[SI base unit]] that has an [[SI prefix]] as part of its unit name.
 
==Adoption of the metric weights and measures==
During the nineteenth century the metric system of weights and measures proved a convenient political compromise during the unification processes in the Netherlands, Germany and Italy. Spain found it expedient in 1858 to follow the French example and within a decade [[Latin America]] had also adopted the metric system. There was considerable resistance to metrication in the United Kingdom and in the United States, though once the United Kingdom announced its metrication program in 1965, the [[Commonwealth of Nations|Commonwealth]] followed suit.
 
===France===
[[File:Jacques-Louis David - The Emperor Napoleon in His Study at the Tuileries - Google Art Project 2.jpg|thumb|150px|Napoleon Bonaparte introduced the [[Mesures usuelles]].]]
{{main|Mesures usuelles|Units of measurement in France}}
The introduction of the metric system into France in 1795 was done on a district by district basis with Paris being the first district, but it was, in terms of modern standards, poorly managed. Although thousands of pamphlets were distributed, the Agency of Weights and Measures who oversaw the introduction underestimated the work involved. Paris alone needed 500,000 metre sticks, yet one month after the metre became the sole legal unit of measure, they only had 25,000 in store.<ref name=Alder/>{{rp| 269}} This, combined with other excesses of the Revolution and the high level of illiteracy made the metric system unpopular.
 
[[Napoleon]] himself ridiculed the metric system, but as an able administrator, recognised the value of a sound basis for a system of measurement and under the ''décret impérial du 12 février 1812'' (imperial decree of 12 February 1812), a new system of measure – the ''mesures usuelles'' or "customary measures" was introduced for use in small retail businesses – all government, legal and similar works still had to use the metric system and the metric system continued to be taught at all levels of education.<ref name=Fevier>{{cite web
|url =  http://www.industrie.gouv.fr/metro/aquoisert/metre.htm
|title =  Un historique du mètre
|language = French
|author = Denis Février
|publisher = Ministère de l'Economie, des Finances et de l'Industrie
|accessdate = 2011-03-10}}</ref> The names of many units used during the ancien regime were reintroduced, but were redefined in terms of metric units. Thus the ''toise'' was defined as being two metres with six ''pied'' making up one ''toise'', twelve ''pouce'' making up one ''pied'' and twelve ''lignes'' making up one ''pouce''. Likewise the ''livre'' was defined as being 500&nbsp;g, each ''livre'' comprising sixteen ''once'' and each ''once'' eight ''gros'' and the ''aune'' as 120 centimetres.<ref name=H&H>{{cite web
|url = http://www.archive.org/stream/outlinesofevolut00halluoft/outlinesofevolut00halluoft_djvu.txt
|title = Outlines of the evolution of weights and measures and the metric system
|first1 = William
|last1 = Hallock
|first2 = Herbert T
|last2 = Wade
|publisher = The Macmillan Company
|year = 1906
|pages = 66–69
|location = London}}</ref>
 
[[Louis Philippe I]] by means of the ''La loi du 4 juillet 1837'' (the law of 4 July 1837) effectively revoked the use of ''mesures uselles'' by reaffirming the laws of measurement of 1795 and 1799 to be used from 1 May 1840.<ref name=histmet>{{cite web
|url = http://www.french-metrology.com/en/history/history-mesurement.asp
|title = History of measurement
|publisher = Métrologie française
|accessdate = 2011-02-06}}</ref><ref name="crease">{{cite book |first=Robert P. |last=Crease |title=World in the Balance: The Historical Quest for an Absolute System of Measurement |year=2011 |publisher=W. W. Norton & Company |location= New York & London |isbn=978-0-393-34354-0 |pages=124 & 164}}</ref> However, many units of measure, such as the ''livre'' (for half a kilogram), remained in colloquial use for many years.<ref name="crease"/><ref group=Note>Crease (2011) refers to: {{cite book |last=Kennelly |first=Arthur E. |title=Vestiges of Pre-metric Weights and Measures Persisting in Metric-system Europe, 1926-27 |location=New York |publisher=Macmillan |year=1928 |page=vii}}</ref>
 
===The Dutch metric system===
The Netherlands first used the metric system and then, in 1812, the [[mesures usuelles]] when it was part of the [[First French Empire]]. Under the Royal decree of 27 March 1817 (''Koningklijk besluit van den 27 Maart 1817''), the newly formed [[Kingdom of the Netherlands]] abandoned the mesures usuelles in favour of the "Dutch" [[metric system]] (''Nederlands metrisch stelsel'') in which metric units were given the names of units of measure that were then in use. Examples include the ''ons'' (ounce) which was defined as being 100&nbsp;g.<ref>{{cite book
|url = http://books.google.co.uk/books?id=XYVbAAAAQAAJ&printsec=frontcover#v=onepage&q&f=false
|title = Allereerste Gronden der Cijferkunst
|author = Jacob de Gelder
|location = 's Gravenhage and Amsterdam
|language = Dutch
|year = 1824
|pages = 155–157
|publisher = de Gebroeders van Cleef
|trans_title = Introduction to Numeracy
|accessdate = 2011-03-02}}</ref>
 
===The German Zollverein===
[[File:Alter Grenzstein Pontebba 01.jpg|180px|thumb|left|Stone marking the [[Austria-Hungary|Austro-Hungarian]]/Italian border at [[Pontebba]] displaying [[myriametre]]s (10&nbsp;km), a unit used in [[Central Europe]] in the 19th century.<ref name=Europa1842/>]]
At the outbreak of the French Revolution, much of modern-day Germany and Austria were part of the [[Holy Roman Empire]] which has become a loose federation of kingdoms, principalities, free cities, bishoprics and other fiefdoms, each with its own system of measurement, though in most cases such system were loosely derived from the [[Carolingian]] system instituted by [[Charlemagne]] a thousand years earlier.
 
During the Napoleonic era, there was a move among some of the German states to reform their systems of measurement using the prototype metre and kilogram as the basis of the new units. [[Baden]], in 1810, for example, redefined the ''Ruthe'' (rods) as being 3.0&nbsp;m exactly and defined the subunits of the ''Ruthe'' as 1 ''Ruthe'' = 10&nbsp;''Fuß'' (feet) = 100&nbsp;''Zoll'' (inches) = 1,000&nbsp;''Linie'' (lines) = 10,000&nbsp;''Punkt'' (points) while the ''Pfund'' was defined as being 500&nbsp;g, divided into 30&nbsp;Loth, each of 16.67&nbsp;g.<ref name=Europa1842>{{cite web
|url = http://home.fonline.de/fo0126//geschichte/groessen/mas1.htm
|title = Amtliche Maßeinheiten in Europa 1842
|language = German
|trans_title = Official units of measure in Europe 1842
|postscript = Text version of Malaisé's book
|accessdate = 2011-03-26}}</ref><ref>{{cite book
|url = http://home.fonline.de/rs-ebs/geschichte/buch/titel.htm
|title = Theoretisch-practischer Unterricht im Rechnen
|language = German
|trans_title = Theoretical and practical instruction in arithmetic
|author = Ferdinand Malaisé
|place = München
|year = 1842
|pages = 307–322
|accessdate = 2011-03-26}}</ref> [[Bavaria]], in its reform of 1811, trimmed the Bavarian ''Pfund'' from 561.288&nbsp;g to 560&nbsp;g exactly, consisting of 32 ''Loth'', each of 17.5&nbsp;g<ref>{{cite web
|url = http://www.digitalis.uni-koeln.de/Grebenau/grebenau_index.html
|title =Tabellen zur Umwandlung des bayerischen Masses und Gewichtes in metrisches Maß und Gewicht und umgekehrt
|language = German
|trans_title = Conversion tables for converting between Bavarian units of measure and metric units
|location = Munich
|author =Heinrich Grebenau
|year = 1870
|accessdate = 2011-03-07}}</ref> while the [[Prussia]]n ''Pfund'' remained at 467.711&nbsp;g.<ref>{{Cite thesis
|degree= Dr.&nbsp;med.&nbsp;vet
|pages = 14–20
|title= Der Marstall des Schlosses Anholt (16. bis 18. Jahrhundert) – Quellen und Materialien zur Geschichte der Pferdehaltung im Münsterland
|trans_title = The stables of the castle Anholt (16th to 18th century) – sources and materials on the history of horses in Munster
|language = German
|url= http://elib.tiho-hannover.de/dissertations/parrass_ss06.pdf
|author= Silke Parras
|year= 2006
|publisher= ''Tierärztliche Hochschule Hannover'' [Hannover veterinary university]
|accessdate= 2011-03-07}}</ref>
 
After the [[Congress of Vienna]] there was a degree of commercial cooperation between the various German states resulting in the setting of the German Customs Union (''[[Zollverein]]''). There were however still many barriers to trade until [[Bavaria]] took the lead in establishing the General German Commercial Code in 1856. As part of the code the ''Zollverein'' introduce the ''Zollpfund'' (Customs Pound) which was defined to be exactly 500&nbsp;g and which could be split into 30&nbsp;'lot'.<ref name=Zollmuseum>{{cite book
|url = http://books.google.co.uk/books?id=vnwuk-LpMGkC&pg=PA129&lpg=PA129&dq=zollpfund+30+lot+1854&source=bl&ots=Bj23UGTvuq&sig=4-617-DZc2x5sjSKkgMrlZhQvnA&hl=en&sa=X&ei=zJnYUeyFOcfQhAeV0oHoCw&ved=0CF4Q6AEwBw#v=onepage&q=zollpfund%2030%20lot%201854&f=false
|title = Die Mass-und Gewichtsreformen in Deutschland im 19. Jahrhundert unter besonderer Berucksichtigung der Rolle Carl August Steinheils und der Bayerischen Akademie der Wissenschaften
|trans_title = The weights and measure reforms in Germany in the 19th century with special reference to Rolle Carl August and the Bavarian Academy of Sciences
|first1 = Cornelia
|last1 = Meyer-Stoll
|page = 129
|isbn = 978-3-7696-0124-4
|publisher = Bayerischen Akademie der Wissenschaften [Bavarian Academy of Sciences]
|language = German
|location = Munich
|year = 2010}}</ref> This unit was used for inter-state movement of goods, but was not applied in all states for internal use.
 
Although the Zollverein collapsed after the [[Austro-Prussian War]] of 1866, the metric system became the official system of measurement in the newly formed [[German Empire]] in 1872<ref name=Alder/>{{rp|350}} and of Austria in 1875.<ref name=PopularScience>{{cite journal
|journal = Popular Science Monthly
|url = http://books.google.co.uk/books?id=IyUDAAAAMBAJ&pg=PA394&lpg=PA394&dq=The+Metric+System+-+Shall+it+be+compulsory&source=bl&ots=lrnmZ5tWi2&sig=5w7UFhDue7LjnLlG93bz2SOIA4E&hl=en&ei=Z0vVTdr8C42LhQejoKnlCw&sa=X&oi=book_result&ct=result&resnum=1&ved=0CB0Q6AEwAA#v=onepage&q=The%20Metric%20System%20-%20Shall%20it%20be%20compulsory&f=false
|title = The Metric System – Shall it be compulsory?
|author = W Leconte Stephens
|date = March 1904
|pages = 394–405
|accessdate = 2011-05-17}}</ref> The Zollpfund ceased to be legal in Germany after 1877.<ref>{{cite web
|url = http://universal_lexikon.deacademic.com/3160/Pfund
|title = Pfund
|publisher = Universal-Lexikon
|accessdate = 2013-07-06
|year = 2010
|language = German}}
</ref>
 
===Italy===
[[File:Vicopisano-misure antiche.jpg| thumb | Tablet showing conversions of legacy units of weights and measures to metric units, [[Vicopisano]], [[Tuscany]]]]
The [[Cisalpine Republic]], a North Italian republic set up by Napoleon in 1797 with its capital at [[Milan]] first adopted a modified form of the metric system based in the ''braccio cisalpino'' (Cisalpine cubit) which was defined to be half a metre.<ref name = metricItaly>{{cite web
|url = http://www.2iceshs.cyfronet.pl/2ICESHS_Proceedings/Chapter_16/R-8_Borgato.pdf
|title =  The first applications of the metric system in Italy
|author =  Maria Teresa Borgato
|work =  The Global and the Local:The History of Science and the Cultural Integration of Europe. Proceedings of the 2nd ICESHS
|location = Cracow, Poland
|date = 6–9 September 2006
|publisher = The Press of the Polish Academy of Arts and Sciences
|accessdate = 2011-03-17}}</ref> In 1802 the Cisalpine Republic was renamed the [[Italian Republic (Napoleonic)|Italian Republic]], with Napoleon as its head of state. The following year the Cisalpine system of measure was replaced by the metric system.<ref name = metricItaly/>
 
In 1806, the Italian Republic was replaced by the [[Kingdom of Italy (Napoleonic)|Kingdom of Italy]] with Napoleon as its emperor. By 1812, all of Italy from Rome northwards was under the control of Napoleon, either as French Departments or as part of the Kingdom of Italy ensuring the metric system was in use throughout this region.
 
After the [[Congress of Vienna]], the various Italian states reverted to their original system of measurements, but in 1845 the [[Kingdom of Piedmont-Sardinia|Kingdom of Piedmont and Sardinia]] passed legislation to introduce the metric system within five years. By 1860, most of Italy had been unified under the King of Sardinia [[Victor Emmanuel II]] and under ''Law 132 of 28 July 28, 1861''  the metric system became the official system of measurement throughout the kingdom. Numerous ''Tavole di ragguaglio'' (Conversion Tables) were displayed in shops until 31 December 1870.<ref name = metricItaly/>
 
===Spain===
Until the ascent of the [[House of Bourbon|Bourbon]] monarchy in Spain in 1700, each of the regions of Spain retained its own system of measurement. The new Bourbon monarchy tried to centralise control and with it the system of measurement. There were debates regarding the desirability of retaining the [[Kingdom of Castile|Castilian]] units of measure or, in the interests of harmonisation, adopting the French system.<ref name = metricSpain>{{cite web
|url = http://www.2iceshs.cyfronet.pl/2ICESHS_Proceedings/Chapter_16/R-8_Navarro_Merino.pdf
|title =  The units of length in the Spanish treatises of military engineering
|first1 =  Juan Navarro
|last1 = Loidi
|first2 =  Pilar Merino
|last2 = Saenz
|work =  The Global and the Local: The History of Science and the Cultural Integration of Europe. Proceedings of the 2nd ICESHS
|location = Cracow, Poland
|date = 6–9 September 2006
|publisher = The Press of the Polish Academy of Arts and Sciences
|accessdate = 2011-03-17}}></ref> Although Spain assisted [[Pierre Méchain|Méchain]] in his meridian survey, the Government feared the French revolutionary movement and reinforced the Castilian units of measure to counter such movements. By 1849 however, it proved difficult to maintain the old system and in that year the metric system became the legal system of measure in Spain.<ref name = metricSpain/>
 
===United Kingdom and the Commonwealth===
{{main|Metrication in the United Kingdom|Metrication of British transport}}
In 1824 the Weights and Measures Act imposed one standard 'imperial' system of weights and measures on the British Empire.<ref>{{cite web
|url = http://www.parliament.uk/about/living-heritage/transformingsociety/tradeindustry/industrycommunity/keydates/
|title = Industry and community – Key dates
|publisher = United Kingdom Parliament
|accessdate = 2011-03-28}}</ref> The effect of this act was to standardise existing British units of measure rather than to align them with the metric system.
 
During the next eighty years a number of Parliamentary select committees recommended the adoption of the metric system each with a greater degree of urgency, but Parliament prevaricated. A Select Committee report of 1862 recommended compulsory metrication, but with an "Intermediate permissive phase", Parliament responded in 1864 by legalising metric units only for 'contracts and dealings'.<ref name = Hyttel>
{{Cite thesis
|degree=BA
|title= Working man's pint – An investigation of the implementation of the metric system in Britain 1851–1979
|url= http://ukma.org.uk/sites/default/files/hyttel_metrication.pdf
|author=Frederik Hyttel
|date = May 2009
|publisher= Bath Spa University
|location = [[Bath, Somerset|Bath]], United Kingdom
|accessdate= 2011-03-29}}</ref> Initially the United Kingdom declined to sign the [[Treaty of the Metre]], but did so in 1883. Meanwhile British scientists and technologists were at the forefront of the metrication movement – it was the [[British Association for the Advancement of Science]] that promoted the [[Centimetre–gram–second system of units|cgs system of units]] as a coherent system<ref name=SIBrochure/>{{rp| 109}}  and it was the British firm [[Johnson Matthey]] that was accepted by the CGPM in 1889 to cast the international prototype metre and kilogram.<ref name=CGPMprototypes/>
 
In 1895 another Parliamentary select committee recommended the compulsory adoption of the metric system after a two-year permissive period, the 1897 Weights and Measures Act legalised the metric units for trade, but did not make them mandatory.<ref name = Hyttel/> A bill to make the metric system compulsory in order to enable British industrial base to fight off the challenge of the nascent German base passed through the House of Lords in 1904, but did not pass in the House of Commons before the next general election was called. Following opposition by the Lancashire cotton industry, a similar bill was defeated in 1907 in the House of Commons by 150 votes to 118.<ref name = Hyttel/>
 
In 1965 Britain commenced an official program of metrication that, as of 2012, had not been completed. The British metrication program signalled the start of metrication programs elsewhere in the [[Commonwealth of Nations|Commonwealth]], though India had started its program before in 1959, six years before the United Kingdom. South Africa (then not a member of the Commonwealth) set up a Metrication Advisory Board in 1967, New Zealand set up its Metric Advisory Board in 1969, Australia passed the Metric Conversion Act in 1970 and Canada appointed a Metrication Commission in 1971. Metrication in Australia, New Zealand and South Africa was essentially complete within a decade while metrication in India and Canada is not complete. In addition the [[lakh]] and [[crore]] are still in widespread use in India. Most other Commonwealth countries adopted the metric system during the 1970s.<ref>{{cite web
|url = http://lamar.colostate.edu/~hillger/internat.htm
|title = Metrication status and history
|publisher = United States Metrication Association
|year = 2009
|accessdate = 2011-05-19}}</ref>
 
===United States===
{{main|Metrication in the United States}}
The United States government acquired copies of the French metre and kilogram for reference purposes in 1805 and 1820 respectively. In 1866 the [[United States Congress]] passed a bill making it lawful to use the metric system in the United States. The bill, which was permissive rather than mandatory in nature, defined the metric system in terms of [[United States customary units|customary units]] rather than with reference to the international prototype metre and kilogram.<ref>{{cite web
|url=http://lamar.colostate.edu/~hillger/laws/metric-act-bill.html
|title=H.R. 596, An Act to authorize the use of the metric system of weights and measures
|author=29th Congress of the United States, Session 1
|date=May 13, 1866
|accessdate = 2011-05-19}}</ref><ref name=Barbrowetal/>{{rp|10–13}} By 1893, the reference standards for customary units had become unreliable. Moreover, the United States, being a signatory of the Metre Convention was in possession of national prototype metres and kilograms that were calibrated against those in use elsewhere in the world. This led to the [[Mendenhall Order]] which redefined the customary units by referring to the national metric prototypes, but used the conversion factors of the 1866 act.<ref name=Barbrowetal>{{cite book
|url = http://www.nist.gov/pml/pubs/sp447/index.cfm
|title = Weights and Measures Standards of the United States: A brief history
|first1 = Louis E.
|last1 = Barbrow
|first2 = Lewis V.
|last2 = Judson
|publisher = NIST
|year = 1976
|accessdate = 2011-05-19}}</ref>{{rp|16–20}}  In 1896 a bill that would make the metric system mandatory in the United States was presented to Congress. Of the 29 people who gave evidence before the congressional committee who were considering the bill, 23 were in favour of the bill, but six were against. Four of the six dissenters represented manufacturing interests and the other two the United States Revenue service. The grounds cited were the cost and inconvenience of the change-over. The bill was not enacted. Subsequent bills suffered a similar fate.<ref name=PopularScience/>
 
==Development of a coherent metric system==
From its inception, the metric system was designed in such a manner that the various units of measure were linked to each other. At the start of the nineteenth century, [[length]], [[mass]], [[time]] and [[temperature]] were the only base unit units that were defined in terms of formal [[Standard (metrology)|standards]]. The beginnings of a [[Coherence (units of measurement)|coherent system]] were in place with the units of [[area]] and [[volume]] linked to the unit of length, though at the time science did not understand the concepts of [[SI base unit|base units]] and [[SI derived unit|derived units]], nor how many [[Physical quantity|physical quantities]] were inter-related. This concept, which enabled [[thermodynamics|thermal]], [[Machine (mechanical)|mechanical]], [[electricity|electrical]] and [[relativistic physics|relativistic systems]] to be interlinked was first formally proposed in 1861 using length, mass and time as base units.  The absence of an electrical base unit resulted in a number of different electrical systems being developed in the latter half of the nineteenth century. The need for such a unit to resolve these problems was identified by [[Giovanni Giorgi|Giorgi]] in 1901. The [[International System of Units|SI standard]] which was published in 1960 defined a single coherent system based on six units.<ref name=SIBrochure/>{{rp|109}}   
 
===Time, work and energy===
In 1832 [[Carl Friedrich Gauss|Carl-Friedrich Gauss]] made the first absolute measurements of the [[Earth's magnetic field]] using a decimal system based on the use of the millimetre, milligram, and second as the base unit of time.<ref name=SIBrochure>{{SIBrochure8th}}</ref>{{rp|109}} In his paper, he also presented his results using the metre and gram instead of the millimetre and milligram, also using the Parisian line and the Berlin pound<ref group = Note>The Parisian line = {{fract|1|144}} of a Parisian [[foot (unit)|''pied'' or foot]] or 1.066 [[Line (unit)|English lines]]. The Berlin (or Prussian) [[Pound (mass)|''pfund'' or pound]] was 468&nbsp;g or about 1.032 [[Pound (mass)|imperial pounds]].</ref>instead of the millimetre and milligram.<ref>{{cite web
|url = http://21stcenturysciencetech.com/translations/gaussMagnetic.pdf
|title = The intensity of the Earth's magnetic force reduced to absolute measurement
|first1 = Carl Friedrich
|last1 = Gauss
|others = translated by Johnson, Susan P (July 1995)
|date = 15 December 1832
|accessdate = 16 October 2013}}</ref>
[[File:Joule's Apparatus (Harper's Scan).png|right|thumb|Joule's apparatus for measuring the mechanical equivalent of heat. As the weight dropped, [[potential energy]] was transferred to the water, heating it up.]]
In a paper published in 1843, [[James Prescott Joule]] first demonstrated a means of measuring the [[energy]] transferred between different systems when work is done thereby relating [[Nicolas Clément]]'s [[calorie]], defined in 1824, to [[Work (physics)|mechanical work]].<ref>{{cite journal
|title = History of the calorie in nutrition
|first1 = JL
|last1 = Hargrove
|publisher = [[National Center for Biotechnology Information]]
|location = [[Bethesda, Maryland]]
|journal = [[Journal of Nutrition]]
|date = December 2006
|volume = 136
|page = 2957
|accessdate =2013-07-08
|pmid=17116702
|issue=12}}</ref><ref>{{cite web
|url = http://www.scienceandsociety.co.uk/results.asp?image=10301513&screenwidth=1069
|title = Joule's was friction apparatus, 1843
|publisher = [[Science Museum, London|Science Museum]], [[National Railway Museum]] and the [[National Media Museum]]
|location = London, York and Bradford
|accessdate =2013-07-08}}</ref>  Energy became the unifying concept of nineteenth century [[science]],<ref>{{cite journal
|journal = Current Science
|volume = 100
|issue = 4
|date = 25 February 2011
|url = http://www.currentscience.ac.in/Volumes/100/04/0563.pdf
|title = How the electric telegraph shaped electromagnetism
|author = Kapil Subramanian
|accessdate = 2011-05-12}}</ref> initially by bringing [[thermodynamics]] and [[mechanics]] together and later adding [[Electricity|electrical technology]] and [[relativistic physics]] leading to [[Albert Einstein|Einstein's]] equation <math>E = mc^2</math>. The CGS unit of energy was the "[[erg]]",<ref name=BAASReport/> while the SI unit of energy was named the "[[joule (unit)|joule]]" in honour of Joule. <ref>{{cite web
|url = http://www.unc.edu/~rowlett/units/dictJ.html
|title = How Many? A Dictionary of Units of Measurement: "J-"
|author = Russ Rowlett
|publisher = University of North Carolina at Chapel Hill
|date = 18 September 2001
|accessdate = 2013-10-16}}</ref>
 
In 1861 a committee of the [[British Science Association|British Association for Advancement of Science]] (BAAS) including [[William Thomson, 1st Baron Kelvin|William Thomson (later Lord Kelvin)]], [[James Clerk Maxwell]] and Joule among its members was tasked with investigating the "Standards of Electrical Resistance". In their first report (1862)<ref>{{cite book
|title = Reports on the Committee on Standards of Electrical Resistance – Appointed by the British Association for the Advancement of Science
|url = http://www.archive.org/stream/reportscommitte00maxwgoog
|chapter = First Report – Cambridge 3 October 1862
|pages = 1–3
|first1 = William
|last1 =Thomson
|first2 =James Prescott
|last2 =Joule
|first3 = James Clerk
|last3 =Maxwell
|first4 =Flemming
|last4 =Jenkin
|editor1-first = Flemming
|editor1-last =Jenkin
|location = London
|year =1873
|accessdate = 2011-05-12}}</ref> they laid the ground rules for their work – the metric system was to be used, measures of electrical energy must have the same units as measures of mechanical energy and two sets of electromagnetic units would have to be derived – an electromagnetic system and an electrostatic system. In the second report (1863)<ref>{{cite book
|title = Reports on the Committee on Standards of Electrical Resistance – Appointed by the British Association for the Advancement of Science
|url = http://www.archive.org/stream/reportscommitte00maxwgoog
|chapter = Second report  – Newcastle-upon-Tyne 26 August 1863
|pages = 39–41
|first1 = William
|last1 =Thomson
|first2 =James Prescott
|last2 =Joule
|first3 = James Clerk
|last3 =Maxwell
|first4 =Flemming
|last4 =Jenkin
|editor1-first = Flemming
|editor1-last =Jenkin
|location = London
|year =1873
|accessdate = 2011-05-12}}</ref> they introduced the concept of a coherent system of units whereby units of length, mass and time were identified as "fundamental units" (now known as ''[[SI base unit|base units]]''). All other units of measure could be derived (hence ''[[SI derived unit|derived units]]'') from these base units. The metre, gram and second were chosen as base units.<ref name=Maxwell1>{{cite book
|title = A treatise on electricity and magnetism
|volume = 1
|author = J C Maxwell
|year = 1873
|publisher = Clarendon Press
|location = Oxford
|url = http://www.archive.org/details/electricandmagne01maxwrich
|pages = 1–3
|accessdate = 2011-05-12}}</ref><ref name=Maxwell2>{{cite book
|title = A treatise on electricity and magnetism
|volume = 2
|author = J C Maxwell
|year = 1873
|publisher = Clarendon Press
|location = Oxford
|url = http://www.archive.org/stream/electricandmag02maxwrich
|pages = 242–245
|accessdate = 2011-05-12}}</ref>
 
In 1873, another committee of the BAAS that also counted Maxwell and Thomson among its members and tasked with "the Selection and Nomenclature of Dynamical and Electrical Units" recommended using the [[Centimetre gram second system of units|CGS (centimetre-gram-second) system of units]]. The committee also recommended the names of "[[dyne]]" and "[[erg]]" for the CGS units of force and energy.<ref name=Maxwell2/><ref name=BAASReport>{{cite journal
|journal = Report on the Forty-third Meeting of the British Association for the Advancement of Science held at Bradford in September 1873
|year = 1874
|title = First Report of the Committee for the Selection and Nomenclature of Dynamical and Electrical Units
|editor = Professor Everett
|publisher = British Association for the Advancement of Science
|pages= 222–225
|url = http://www.biodiversitylibrary.org/item/94452
|accessdate = 2011-05-10}}</ref><ref>{{cite web
|url = http://www.sizes.com/units/sys_cgs.htm
|title = centimeter-gram-second systems of units
|work = Sizes, Inc
|date = 6 August 2001
|accessdate = 2011-04-07}}</ref> The CGS system became the basis for scientific work for the next seventy years.
 
===Electrical units===
In the 1820s [[Georg Ohm]] formulated [[Ohms Law]] which can be extended to relate power to current, potential difference (voltage) and resistance.<ref>{{MacTutor|title=Georg Simon Ohm|id=Ohm|date=January 2000}}</ref><ref>{{cite book
|title = Revise AS Physics
|first1 = Graham
|last1 = Booth
|publisher = Letts Educational
|isbn = 184315 3025
|location = London
|year = 2003
|at = Chapter 2 – Electricity}}</ref> During the following decades the realisation of a coherent system of units that incorporated the measurement of electromagnetic phenomena and Ohm's law was beset with problems – at least four different systems of units were devised. In the three CGS systems, the constants <math>k_e</math> and <math>k_m</math> and consequently <math>\epsilon_0</math> and <math>\mu_0</math> were dimensionless.
 
{| class="infobox bordered" style="font-size: 95%;"
|- style="text-align:center;"
|'''Symbols used in this section'''
{| class="wikitable"
|-
!Symbol
!Meaning
|- style="text-align:center;"
|<math>F_\mathrm{m}, F_\mathrm{e}</math>
|Electromagnetic<br>and<br>Electrostatic<br>forces
|- style="text-align:center;"
|<math>I_\mathrm{1}, I_\mathrm{2}</math>
|Electrical current<br>in conductors
|- style="text-align:center;"
|<math>q_\mathrm{1}, q_\mathrm{2}</math>
|Electrical charges
|- style="text-align:center;"
|<math>L</math>
|Conductor length
|- style="text-align:center;"
|<math>r</math>
|distance between <br>charges/conductors
|- style="text-align:center;"
|<math>\epsilon_0</math>
|permittivity of<br>free space
|-
| style="text-align:center;"|<math>\mu_0</math>
|permeability of<br>free space
|- style="text-align:center;"
|<math>k_\mathrm{m}, k_\mathrm{e}</math>
|System of unit <br>dependant constants
|-
| style="text-align:center;"|<math>c</math>
|Speed of light
|}
|}
 
:'''Electromagnetic system of units (EMU)'''
:The [[Centimetre–gram–second system of units#Electromagnetic units (EMU)|Electromagnetic system of units (EMU)]] was developed from [[André-Marie Ampère]]'s discovery in 1820s of a relationship between the force between two current-carrying conductors. This relationship is now known as [[Ampère's force law|Ampere's law]] which can be written
::<math> F_\mathrm{m} = 2 k_\mathrm{m} \frac {I_1 I_2 } {r}</math> where <math> k_\mathrm{m} = \frac {\mu_0}{ 4 \pi} \ </math> (SI units)
 
:In 1833 Gauss pointed out the possibility of equating this force with its mechanical equivalent. This proposal received further support from [[Wilhelm Eduard Weber|Wilhelm Weber]] in 1851.<ref name=satellite>{{cite web
|url = http://www.highbeam.com/doc/1G1-60048223.html <!--http://www.satellitetoday.com/via/The-International-System-of-Units_32466_p3.html-->
|title = The International System of Units
|publisher = Satellite Today
|date = 1 February 2000
|accessdate = 2011-04-05}}</ref> The [[Centimetre gram second system of units#Electromagnetic units (EMU)|electromagnetic (or absolute) system of units]] was one of the two systems of units identified in the BAAS report of 1862 and defined in the report of 1873. In this system, current is defined by setting the [[Ampère's force law|magnetic force constant]] <math>k_\mathrm{m}</math> to unity and potential difference is defined in such a way as to ensure the unit of power calculated by the relation <math> P = VI</math> is identical to the unit of power required to move a mass of one gram a distance of one centimetre in one second when opposed by a force of one dyne. The electromagnetic units of measure were known as the abampere, the abvolt, the abcoulomb and so on.<ref>{{cite web
|url = http://www.unc.edu/~rowlett/units/dictA.html#ab
|title = How Many? A Dictionary of Units of Measurement: "ab-"
|author = Russ Rowlett
|publisher = University of North Carolina at Chapel Hill
|date = 4 December 2008
|accessdate = 2011-05-12}}</ref>
 
:'''Electrostatic system of units (ESU)'''
:The [[Electrostatic units|Electrostatic system of units (ESU)]] was based on Coulomb's discovery in 1783 of the relationship between the force exerted between two charged bodies. This relationship, now known as [[Coulomb's law]] can be written
::<math>F_\mathrm{e} = k_\mathrm{e} \frac{q_1q_2}{r^2}</math> where <math>k_\mathrm{e} = \frac{1}{4 \pi \epsilon_0}</math> (SI units)
 
:The [[Centimetre gram second system of units#Electrostatic units (ESU)|electrostatic system]] was the second of the two systems of units identified in the 1862 BAAS report and defined in the report of 1873. In this system unit for charge is defined by setting the [[Coulomb force constant]] (<math>k_\mathrm{e}</math>) to unity and the unit for potential difference were defined to ensure the unit of energy calculated by the relation <math> E = QV</math> is one erg. The electrostatic units of measure are now known as the statampere, the statvolt, the statcoulomb and so on.<ref>{{cite web
|url = http://www.unc.edu/~rowlett/units/dictA.html#stat
|title = How Many? A Dictionary of Units of Measurement: "stat-"
|author = Russ Rowlett
|publisher = University of North Carolina at Chapel Hill
|date = 1 September 2004
|accessdate = 2011-05-12}}</ref>
 
:'''Gaussian system of units'''
:The [[Gaussian units|Gaussian system of units]] was based on [[Heinrich Hertz]] realization, made in 1888 while verifying [[Maxwell's  Equations]], that the CGS system of electromagnetic units to were related to the CGS system of electrostatic units by the relationship:
::<math>c^2 = \frac{1}{\epsilon_0 \mu_0}</math><ref>{{cite web
|url = http://www.wbabin.net/science/danescu.pdf
|title = The evolution of the Gaussian Units
|author = Dan Petru Danescu
|publisher = The general journal of science
|date = 9 January 2009
|accessdate = 2011-05-07}}</ref><ref>{{cite web
|url = http://bohr.physics.berkeley.edu/classes/221/1011/notes/emunits.pdf
|title =  Gaussian, SI and Other Systems of Units in Electromagnetic Theory
|work = Physics 221A, Fall 2010, Appendix A
|publisher = Department of Physics University of California
|location = Berkeley
|accessdate = 2011-05-07}}</ref>
:Using this relationship, he proposed merging the EMU and the ESU systems into one system using the EMU units for magnetic quantities (subsequently named the [[Gauss (unit)|gauss]] and [[Maxwell (unit)|maxwell]]) and ESU units elsewhere. He named this combined set of units "[[Gaussian units]]". This set of units has been recognised as being particularly useful in theoretical physics.<ref name=SIBrochure/>{{rp|128}}
 
:'''Practical system of units'''
:The CGS units of measure used in scientific work were not practical when used in engineering leading to the development of the practical system of electric units. At the time that this system of units was proposed, the dimension of electrical resistance was modelled in the EMU system as the ratio L/T and in the ESU system as its inverse – T/L.<ref name=Maxwell2/> 
:The unit of length adopted for the practical system was the {{nowrap|10<sup>8</sup> m}} (approximately the length of the Earth's quadrant), the unit of time was the second and the unit of mass an unnamed unit equal to {{nowrap|10<sup>−11</sup> g}} and the definitions of electrical units were based on those of the EMU system. The names, but not the values, [[ampere|amp]], [[volt]], [[farad]] and [[ohm]] were carried over from the EMU system. The system was adopted at the First International Electrical Congress (IEC) in 1881.<ref>{{cite journal
|journal = IEC bulletin
|title = 1981 ... A year of anniversaries
|volume = XV
|number = 67
|date = January 1981
|publisher = [[International Electrotechnical Commission]]
|location = Geneva
|url = http://www.iec.ch/about/history/documents/pdf/75th%20anniversary%20IEC%20Bulletin.pdf
|accessdate = 23 October 2013}}</ref>  The second IEC congress (1889) defined the [[joule]] and the [[watt]] at the practical units of energy and power respectively.<ref name=Fenna>{{cite book
|title = Dictionary of Weights, Measures and Units
|first1 = Donald
|last1 = Fenna
|publisher = [[Oxford University Press]]
|location = Oxford
|year = 2002
|isbn = 0-19-860522-6}}</ref> The units were formalised as the [[International System of Electrical and Magnetic Units]] at the 1893 congress of the IEC in Chicago where the volt, amp and ohm were formally defined. The SI units with these names are very close, but not identical to the "practical units".<ref name=NISTHistory>{{cite web
|url = http://physics.nist.gov/cuu/Units/history.html
|title = A brief history of SI
|publisher = NIST
|accessdate = 2011-03-29}}</ref>
 
===A coherent system===
The electrical units of measure did not easily fit into the coherent system using length, mass and time as its base units as proposed in the 1861 BAAS paper. Using [[dimensional analysis]] the dimensions of charge as defined by the ESU system of units was identical to the dimensions of current as defined by the EMU system of units <math>M^\frac{1}{2}L^\frac{3}{2}T^{-1}</math> while resistance had the same dimensions as velocity in the EMU system of units, but had the dimensions of the inverse of velocity in the ESU system of units.<ref name=Maxwell2/>
 
From mid-1890s onwards [[Giovanni Giorgi]] and [[Oliver Heaviside]] corresponded with each other regarding these anomalous results.<ref name=IECGiorgi>{{cite web
|url = http://www.iec.ch/about/history/beginning/giovanni_giorgi.htm
|title = In the beginning&nbsp;... Giovanni Giorgi
|year = 2011
|publisher = [[International Electrotechnical Commission]]
|accessdate = 2011-04-05}}</ref> This led to Giorgi presenting a paper to the congress of the Associazione Elettrotecnica Italiana (A.E.I.)<ref>[[:it:Associazione Elettrotecnica Italiana]] (in Italian)</ref> in October 1901 in which he showed that a coherent electro-mechanical system of units could be obtained by adding a fourth base unit of an electrical nature (ampere, volt or ohm) to the three base units proposed in the 1861 BAAS report. This gave the constants ''k<sub>e</sub>'' and ''k<sub>m</sub>'' physical dimensions and hence the electrco-mechanical quantities ε<sub>0</sub> and µ<sub>0</sub> were also given physical dimensions.<ref name=IECGiorgi/> His work also recognized the unifying concept that energy played in the establishment of a coherent, rational system of units with the joule as the unit of energy and the electrical units in the practical system of units remaining unchanged.<ref>{{cite conference
|url = http://www.chezbasilio.org/immagini/Action_unit.pdf
|first1 = Basilio
|last1 = Catania
|date = 21-22 September 1988
|conference = Giovanni Giorgi and his Contribution to Electrical Metrology
|location = [[Polytechnic University of Turin|Polytechnic of Turin]]
|title = The Action Unit as a primary unit in SI
|accessdate = 23 October 2013}}</ref> <ref name=McGreevy/>{{rp|156}}
 
The 1893 definitions of the ampere and the ohm by the IEC led to the joule as being defined in accordance with the IEC resolutions being 0.02% larger than the joule as defined in accordance with the artifacts helds by the BIPM. In 1908, the IEC prefixed the units of measure that they had defined with the word  "internation", hence the "international ampere", "international volt" etc.<ref name=McGreevy/>{{rp|155–156}} It took more than thirty years before Giorgi's work was accepted in practice by the IEC. In 1946 the [[CIPM]] formally adopted a definition of the ampere based on the original EMU definition and redefined the ohm in terms of other base units.<ref name=Fenna/> In 1960, Giorgi's proposals were adopted as the basis  of the ''Système International d'Unités'' (International System of Units), the SI.<ref name=SIBrochure/>{{rp|109}}
 
===Naming the units of measure===
In 1861, [[Charles Tilston Bright|Charles Bright]] and [[Latimer Clark]] proposed the names of [[ohm]], [[volt]], and [[farad]] in honour of [[Georg Ohm]], [[Alessandro Volta]] and [[Michael Faraday]] respectively for the practical units based on the centimetre-gramme-second absolute system. This was supported by Thomson (Lord Kelvin)<ref>{{cite web
|url =http://www.iec.ch/about/history/beginning/lord_kelvin.htm
|title = In the beginning&nbsp;... Lord Kelvin
|author =Silvanus P. Thompson
|publisher =International Electrotechnical Commission
|accessdate = 2011-05-10}}</ref> These names were later scaled for use in the Practical System.<ref>{{cite web
|url = http://www.sizes.com/units/farad.htm
|title = farad
|date = 9 June 2007
|publisher = Sizes, Inc
|accessdate = 2011-05-10}}</ref> The concept of naming units of measure after noteworthy scientists was subsequently used for other units.
 
==Convention of the metre==
{{main|Metre Convention}}
[[File:Metric seal.svg|thumb|150px|Seal of the [[International Bureau for Weights and Measures]] (BIPM)]]
With increasing international adoption of the metre, the short-comings of the ''mètre des Archives'' as a standard became ever more apparent. Countries which adopted the metre as a legal measure purchased standard metre bars that were intended to be equal in length to the ''mètre des Archives'', but there was no systematic way of ensuring that the countries were actually working to the same standard. The meridianal definition, which had been intended to ensure international reproducibility, quickly proved so impractical that is was all but abandoned in favour of the artifact standards, but the ''mètre des Archives'' (and most of its copies) were "end standards": such standards (bars which are exactly one metre in length) are prone to wear with use, and different standard bars could be expected to wear at different rates.<ref>{{Cite LarousseXIXe| title = Mètre | volume = 17 | page = 1587}}</ref>
 
The International Conference on Geodesy in 1867 called for the creation of a new, international prototype metre<ref name="MComm"/><ref name="BIPMhist"/><ref>The term "prototype" does not imply that it was the first in a series and that other standard metres would come after it: the "prototype" metre was the one that came first in the logical chain of comparisons, that is the metre to which all other standards were compared.</ref> and to arrange a system where national standards could be compared with it. The international prototype would also be a "line standard", that is the metre was defined as the distance between two lines marked on the bar, so avoiding the wear problems of end standards. The French government gave practical support to the creation of an International Metre Commission, which met in Paris in 1870 and again in 1872 with the participation of about thirty countries.<ref name="MComm"/>
 
On 20 May 1875 an international treaty known as the [[Metre Convention|''Convention du Mètre'']] (Metre Convention) was signed by 17 states.<ref name="Nelson"/><ref>Text of the treaty: {{cite web
|url = http://www.bipm.org/utils/en/pdf/metre_convention.pdf
|title = Convention du mètre
|language = French
|accessdate = 2011-03-08}}</ref> This treaty established the following organisations to conduct international activities relating to a uniform system for measurements:
:*''[[Conférence générale des poids et mesures]]'' (CGPM or General Conference on Weights and Measures), an intergovernmental conference of official delegates of member nations and the supreme authority for all actions;
:*''[[Comité international des poids et mesures]]'' (CIPM or International Committee for Weights and Measures), consisting of selected scientists and [[metrologist]]s, which prepares and executes the decisions of the CGPM and is responsible for the supervision of the International Bureau of Weights and Measures;
:*''[[Bureau international des poids et mesures]]'' (BIPM or International Bureau of Weights and Measures), a permanent laboratory and world centre of scientific metrology, the activities of which include the establishment of the basic standards and scales of the principal physical quantities, maintenance of the international prototype standards and oversight of regular comparisons between the international prototype and the various national standards.
 
The [[international prototype metre]] and [[international prototype kilogram|kilogram]] were both made from a 90%&nbsp;[[platinum]], 10%&nbsp;[[iridium]] alloy which is exceptionally hard and which has good electrical and thermal conductivity properties. The prototype had a special X-shaped ([[Tresca]]) cross section to minimise the effects of torsional strain during length comparisons.<ref name="Nelson"/> and the prototype kilograms were cylindrical in shape. The London firm [[Johnson Matthey]] delivered 30 prototype metres and 40 prototype kilograms. At the first meeting of the [[CGPM]] in 1889 bar No.&nbsp;6 and cylinder No.&nbsp;X were accepted as the international prototypes. The remainder were either kept as BIPM working copies or distributed to member states as national prototypes.<ref name=CGPMprototypes>{{cite journal
|last1=  Jabbour
|first1= Z.J.
|last2= Yaniv
|first2= S.L.
|year= 2001
|title= The Kilogram and Measurements of Mass and Force
|journal= J. Res. Natl. Inst. Stand. Technol.
|volume= 106
|issue= 1
|pages= 25–46
|publisher= [[National Institute of Standards and Technology]] (NIST
|url= http://nvl.nist.gov/pub/nistpubs/jres/106/1/j61jab.pdf
|accessdate= 2011-03-28}}</ref>
 
==Twentieth century==
[[File:US National Length Meter.JPG|left|thumb|U.S. national standard of the metre, showing the bar number (#27), the Tresca cross-section and one of the lines]]
At the beginning of the twentieth century, the BIPM had custody of two artifacts – one to define length and the other to define mass. Other units of measure which did not rely on specific artifacts were controlled by other bodies. In the scientific world, quantum theory was in its infancy and [[Albert Einstein|Einstein]] had yet to publish his theories of relativity. By the end of the century, a coherent system of units was in place under the control of the bodies set up by the [[Treaty of the Metre]], the definition of the second relied on quantum theory, the definition of the metre relied on the theory of relativity and plans were being made to relegate the international prototype kilogram to the archives.
 
===Metre===
The first (and only) follow-up comparison of the national standards with the international prototype metre was carried out between 1921 and 1936,<ref name="Nelson"/><ref name="BIPMhist"/> and indicated that the definition of the metre was preserved to within 0.2&nbsp;µm.<ref name="Barrell">{{citation
| first = H.
| last = Barrel
| title = The Metre
| journal = Contemp. Phys.
| year = 1962
| volume = 3
| issue = 6
| pages = 415–34
| doi = 10.1080/00107516208217499
| bibcode=1962ConPh...3..415B}}</ref> During this follow-up comparison, the way in which the prototype metre should be measured was more clearly defined—the 1889 definition had defined the metre as being the length of the prototype at the definition of melting ice, but in 1927 the 7th&nbsp;CGPM extended this definition was to specify that the prototype metre shall be "supported on two cylinders of at least one centimetre diameter, symmetrically placed in the same horizontal plane at a distance of 571&nbsp;mm from each other".<ref name=SIBrochure/>{{rp|142–43, 148}}  The choice of 571&nbsp;mm represents the [[Airy points]] of the prototype—the points at which the bending or droop of the bar is minimized.<ref>{{citation
| last = Phelps
| first = F. M., III
| year = 1966
| title = Airy Points of a Meter Bar
| journal = Am. J. Phys.
| volume = 34
| issue = 5
| pages = 419–22
| doi = 10.1119/1.1973011
| bibcode=1966AmJPh..34..419P}}</ref>
 
In 1887 [[Albert Abraham Michelson|Michelson]] proposed the use of optical interferometers for the measurement of length, work which contributed to him being awarded the [[Nobel Prize]] in 1907. In 1952 the CIPM proposed the use of wavelength of a specific light source as the standard for defining length and in 1960 the CGPM accepted this proposal using radiation corresponding to a transition between specified energy levels of the krypton 86 atom as the new standard for the metre. By 1975, when the second had been defined in terms of a physical phenomenon rather than the earth's rotation and Einstein's assertion that the [[speed of light]] was constant, the CGPM authorised the CIPM to investigate the use of the speed of light as the basis for the definition of the metre. This proposal was accepted in 1983.<ref>{{cite web
|url = http://physics.nist.gov/cuu/Units/meter.html
|title = Base unit definitions: Meter
|publisher = [[NIST]]
|accessdate = 2011-11-15}}</ref>
 
===Kilogram===
[[File:Prototype mass drifts.jpg|thumb|right|399px|Mass drift over time of national prototypes {{nowrap|K21–K40}}, plus two of the IPK's [[#Glossary|sister copies]]: K32 and K8(41).<ref name="Girard">{{Cite journal |title=The Third Periodic Verification of National Prototypes of the Kilogram (1988–1992) |author=G.{{nbsp}}Girard |journal=Metrologia |volume=31 |issue=4 |year=1994 |pages=317–336 |doi=10.1088/0026-1394/31/4/007|bibcode = 1994Metro..31..317G }}</ref>
<ref group="Note">Prototype No. 8(41) was accidentally stamped with the number 41, but its accessories carry the proper number 8. Since there is no prototype marked 8, this prototype is referred to as 8(41).<sub>{{nbsp}}</sub></ref>  The above are all ''relative'' measurements; no historical mass-measurement data is available to determine which of the prototypes has been most stable relative to an invariant of nature. There is the distinct possibility that ''all'' the prototypes gained mass over 100 years and that K21, K35, K40, and the IPK simply ''gained less'' than the others.]]
 
Although the definition of the kilogram remained unchanged throughout the twentieth century, the 3rd CGPM in 1901 clarified that the kilogram was a unit of [[mass]], not of [[weight]]. The original batch of 40 prototypes (adopted in 1889) were supplemented from time to time with further prototypes for use by new signatories to the [[Metre Convention]].<ref>{{cite journal
|url = http://www.platinummetalsreview.com/pdf/pmr-v17-i2-066-068.pdf
|title =  Standard Kilogram Weights – A Story of Precision Fabrication
|journal = Platinum Metals Review
|author = F. J. Smith
|year = 1973
|volume= 17
|issue = 2
|pages = 66–68}}</ref>
 
During the course of the century, the various national prototypes of the kilogram were recalibrated against the [[International Prototype Kilogram]] (IPK) and therefore against each other. The initial 1889 starting-value offsets of the national prototypes relative to the IPK were nulled.<ref name="Girard">{{Cite journal |title=The Third Periodic Verification of National Prototypes of the Kilogram (1988–1992) |author=G.{{nbsp}}Girard |journal=Metrologia |volume=31 |issue=4 |year=1994 |pages=317–336 |doi=10.1088/0026-1394/31/4/007|bibcode = 1994Metro..31..317G }}</ref> and any subsequent mass changes being relative to the IPK. A technique for steam cleaning the prototypes to remove any contaminants was developed in 1946 as part of the second recalibration.<ref>{{cite web
|url = http://www.bipm.org/utils/en/pdf/Monographie1990-1-EN.pdf
|title = Le nettoyage-lavage des prototypes du kilogramme au BIPM – The washing and cleaning of kilogram prototypes at the BIPM
|author = G.Girard
|date = October 1990
|publisher = Bureau International des poids et mesures
|accessdate = 2011-04-02}}</ref>
 
The third periodic recalibration in 1988-9 revealed that the average difference between the IPK and adjusted baseline for the national prototypes was 50&nbsp;μg – in 1889 the baseline of the national prototypes had been adjusted so that the difference was zero. As the IPK is the definitive kilogram, there is no way of telling whether the IPK had been losing mass or the national prototypes had been gaining mass.<ref name="Girard"/>
 
===Time===
Until the advent of the [[atomic clock]], the most reliable timekeeper available to mankind was the earth's rotation. It was natural therefore that the astronomers under the auspice of the International Astronomical Union (IAU) took the lead in maintaining the standards relating to time. In 1988, responsibility for timekeeping passed to the BIPM who took on the role of coordinating a number of atomic clocks scattered around the globe.<ref>{{cite journal
|journal = Astronomy and Astrophysics
|number = 192
|pages = 370–373
|year = 1988
|title = Atomic time scales for pulsar studies and other demanding applications
|first1 = B
|last1 = Guinot
|accessdate = 23 October 2013
|url = http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?bibcode=1988A%26A...192..370G&db_key=AST&page_ind=0&data_type=GIF&type=SCREEN_VIEW&classic=YES}}</ref>  During the twentieth century it became apparent that the earth's rotation was slowing down resulting in days becoming 1.4 milliseconds longer each century<ref name=LeapSeconds>{{cite web
|url = http://tycho.usno.navy.mil/leapsec.html
|title = Leap seconds
|publisher = Time Service Department, U.S. Naval Observatory
|accessdate = 2011-04-29}}</ref> – this was verified by comparing the calculated timings of eclipses of the sun with those observed in antiquity going back to Chinese records of 763&nbsp;BC.<ref>{{cite journal
|url = http://hbar.phys.msu.ru/gorm/atext/histecl.htm
|journal = Scientific American
|volume = 247
|issue = 4
|pages = 154–163
|author = F. Richard Stephenson
|title = Historical Eclipses
|year = 1982
|accessdate = 2011-04-18|bibcode = 1982SciAm.247..154S }}</ref>
 
In 1956 the 10th CGPM instructed the CIPM to prepare a definition of the second; in 1958 the definition was published stating that the second would be calculated by extrapolation using earth's rotational speed in 1900.<ref name=LeapSeconds/>  Astronomers from the [[US Naval Observatory]] (USNO) and the [[National Physical Laboratory (United Kingdom)|National Physical Laboratory]] determined a relationship between the frequency of radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom and the estimated rate of rotation of the earth in 1900. Their value was adopted in 1968 by the 13th CGPM.
 
===Electrical units===
[[File:FourMetricInstruments.JPG|thumb|200px| Four domestic quality contemporary measuring devices that have metric calibrations – a [[tape measure]] calibrated in [[centimetres]], a [[thermometer]] calibrated in [[degrees Celsius]], a [[kilogram]] weight (mass) and an electrical [[multimeter]] which measures [[volts]], [[ampere|amps]] and [[ohm]]s]]
In 1921 the Treaty of the Metre was extended to cover electrical units with the CGPM merging its work with that of the IEC. At the 8th CGPM in 1933 the need to replace the "International" electrical units with "absolute" units was raised. The IEC proposal that Giorgi's proposal be adopted was accepted, but no decision was made as to which electrical unit should be the fourth base unit. In 1935 Sears proposed that this should be the ampere, but [[World War II]] prevented this being formalised until 1946. The definitions for absolute electrical system based on the ampere was formalized in 1948.<ref>{{cite book
|series = ''La metrologia ai confini tra fisica e tecnologia'' (Metrology at the Frontiers of Physics and Technology)
|title = The continuing evolution in the definitions and realizations of the SI units of measurement
|first1 = B.W.
|last1 = Pretley
|editor-first1 = L
|editor-last1 = Crovini
|editor-first2 = T.J
|editor-last2 = Quinn
|publisher = Societa Italiana di Fisica
|location = Bologna
|isbn = 0-444-89770-4
|year = 1992
|accessdate = 23 October 2013}}</ref>
 
===Temperature===
At the start of the twentieth century, the fundamental macroscopic laws of thermodynamics had been formulated and although techniques existed to measure temperature using empirical techniques, the scientific understanding of the nature of temperature was minimal. Maxwell and Boltzmann had produced theories describing the inter-relational of temperature, pressure and volume of a gas on a microscopic scale but otherwise, in 1900, there was no understanding of the microscopic or quantum nature of temperature.<ref name=Pledge>{{cite book
|title = Science since 1500
|author = H.T.Pledge
|origyear = 1939
|year = 1959
|chapter = Chapter XXI: Quantum Theory
|pages = 271–275
|publisher = Harper Torchbooks}}</ref><ref>{{cite web
|url = http://www.uic.edu/labs/trl/1.OnlineMaterials/BasicPrinciplesByTWLeland.pdf
|title = Basic Principles of Classical and Statistical Thermodynamics
|author = Thomas W. Leland
|editor = G.A. Mansoori
|publisher = Department of Chemical Engineering, University of Illinois at Chicago
|accessdate = 2011-05-10}}</ref>  Within the metric system, temperature was expressed in degrees Centigrade with the definition that ice melted at 0&nbsp;°C and at standard atmospheric pressure, water boiled at 100&nbsp;°C. A series of lookup tables defined temperature in terms of inter-related empirical measurements made using various devices.
 
When, in 1948 the CGPM was charged with producing a coherent system of units of measure, definitions relating to temperature had to be clarified. At the 9th CGPM, the centigrade temperature scale was renamed the [[Celsius]] temperature scale and the scale itself was fixed by defining the [[triple point of water]] as 0.01&nbsp;°C,<ref name=CGPM_9_3>{{cite conference
|url = http://www.bipm.org/en/CGPM/db/9/3/
|title = Resolution 3 – Triple point of water; thermodynamic scale with a single fixed point; unit of quantity of heat (joule)
|conference =  9th Conférence Générale des Poids et Mesures (CGPM)
|date = 12–21 October 1948
|accessdate = 2011-05-08}}</ref> though the CGPM left the formal definition of absolute zero until the 10th GCPM when the name "[[degrees Kelvin|Kelvin]]" was assigned to the absolute temperature scale and triple point of water was defined as being 273.16&nbsp;°K.<ref>{{cite conference
|url = http://www.bipm.org/jsp/en/ListCGPMResolution.jsp?CGPM=13
|title = Resolution 3 – Definition of the thermodynamic temperature scale and
|conference =  10th Conférence Générale des Poids et Mesures (CGPM)
|date = 5–14 October 1954
|accessdate = 2011-05-08}}</ref> In 1967, at the 13th GCPM the degree Kelvin (°K) was renamed the "kelvin" (K).<ref>{{cite conference
|url = http://www.bipm.org/en/CGPM/db/9/6/
|title = Resolution 3 – SI unit of thermodynamic temperature (kelvin) and Resolution 4 – Definition of the SI unit of thermodynamic temperature (kelvin)
|conference =  9th Conférence Générale des Poids et Mesures (CGPM)
|date = 12–21 October 1948
|accessdate = 2011-05-08}}</ref>
 
Over the ensuing years, the BIPM developed and maintained cross-correlations relating various measuring devices such as thermocouples, light spectra and the like to the equivalent temperatures.<ref>{{cite web
|url = http://www.bipm.org/utils/common/pdf/its-90/ITS-90_Techniques.pdf
|title = Techniques for Approximating the International Temperature Scale of 1990
|publisher = [[BIPM]]
|location = Sèvres
|year = 1997
|origyear = 1990
|accessdate = 2011-05-10}}</ref>  Increasingly the use of the Boltzmann Relationship was used as the reference point and it appears likely that in 2015 the CGPM will redefine temperature in terms of the Boltzmann constant rather than the triple point of water.<ref name="draft"/>
 
===Luminosity===
Prior to 1937, the [[International Commission on Illumination]] (CIE from its French title, the Commission Internationale de l'Eclairage) in conjunction with the CIPM produced a standard for luminous intensity to replace the various national standards. This standard, the [[candela]] (cd) which was defined as "the brightness of the full radiator at the temperature of solidification of platinum is 60 new candles per [[square centimetre]]".<ref>{{cite book | title = The Metric System: The International System of Units (SI) | author = Barry N. Taylor | publisher = U. S. Department of Commerce | year = 1992 | isbn = 0-941375-74-9 | page = 18 | url = http://books.google.com/books?id=y2-BDaoBVnwC&pg=PA18&dq=%22value+of+the+new+candle+is+such+that+the+brightness+of+the+full+radiator%22&as_brr=3&ei=elatR_S1FofgswPvu430BQ&sig=yl2AU7A-R1O9e5ZuEzuLwekiM2E }} (NIST Special Publication 330, 1991 ed.)</ref> was ratified by the GCPM in 1948 and in 1960 was adopted as an SI base unit. The definition proved difficult to implement so in 1967, the definition was revised and the reference to the radiation source was replaced by defining the candles in terms of the power of a specified wavelength of visible light.<ref name=SIBrochure/>{{rp| 115}}
 
In 2007 the CIPM and the CIE agreed a program of cooperation with the CIPM taking the lead in defining the use of units of measure and the CIE taking the lead in defining the behaviour of the human eye.<ref>{{cite web
|url =http://www.bipm.org/en/bipm/mou/cie.html
|title = Agreement with the CIE
|publisher = BIPM
|accessdate = 2011-05-10}}</ref>
 
===Mole===
The mole was originally known as a gram-atom or a gram-molecule – the amount of a substance measured in grams divided by its [[atomic weight]].  Originally chemists and physicists had differing views regarding the definition of the atomic weight – both assigned a value of 16&nbsp;[[atomic mass units]] (amu) to oxygen, but physicists defined oxygen in terms of the <sup>16</sup>O isotope whereas chemists assigned 16&nbsp;amu to <sup>16</sup>O, <sup>17</sup>O and <sup>18</sup>O isotopes mixed in the proportion that they occur in nature. Finally an agreement between the [[International Union of Pure and Applied Physics]]<ref>{{cite journal
|url = http://materia.ro/FACULTATE/DATA/Atomic%20Mass.pdf
|title = Atomic Weights of the Elements: Review 2000 (IUPAC Technical Report)
|accessdate = 2013-07-06
|first1 = JR
|last1 = de Laeter
|first2 = JK
|last2 = Böhlke
|first3 = P
|last3 = de Bièvre
|first4 = H
|last4 = Hidaka
|first5 = Peiser
|last5 = HS
|first6 = KJR
|last6 = Rosman
|first7 = PDP
|last7 = Taylor
|journal = Pure Appl. Chem.
|volume = 75
|number = 6
|pages = 690–691
|publisher = [[International Union of Pure and Applied Chemistry]]
|year = 2003}}</ref> (IUPAP) and the [[International Union of Pure and Applied Chemistry]] (IUPAC) brought this duality to an end in 1959/60, both parties agreeing to define the atomic weight of <sup>12</sup>C as being exactly 12 amu. This agreement was confirmed by ISO and in 1969 the CIPM recommended its inclusion in SI as a base unit. This was done in 1971 at the 14th CGPM.<ref name=SIBrochure/>{{rp|114–115}}
 
==International System of Units (SI)==
{{main|International System of Units}}
[[File:SI Brochure Cover.jpg|frame|left|Cover of brochure ''[http://www.bipm.org/en/publications/brochure/ The International System of Units]'']]
The 9th CGPM met in 1948, fifteen years after the 8th CGPM. In response to formal requests made by the International Union of Pure and Applied Physics and by the French government to establish a practical system of units of measure, the CGPM requested the CIPM to prepare recommendations for a single practical system of units of measurement, suitable for adoption by all countries adhering to the Metre Convention.<ref>{{cite conference
|url = http://www.bipm.org/en/CGPM/db/9/6/
|title = Resolution 6 – Proposal for establishing a practical system of units of measurement
|conference =  9th Conférence Générale des Poids et Mesures (CGPM)
|date = 12–21 October 1948
|accessdate = 2011-05-08}}</ref>  At the same time the CGPM formally adopted a recommendation for the writing and printing of unit symbols and of numbers.<ref>{{cite conference
|url = http://www.bipm.org/en/CGPM/db/9/7/
|title = Resolution 7 – Writing and printing of unit symbols and of numbers
|conference = 9th Conférence Générale des Poids et Mesures (CGPM)
|date = 12–21 October 1948
|accessdate = 2011-05-08}}</ref> The recommendation also catalogued the recommended symbols for the most important [[MKS system of units|MKS]] and [[Centimetre gram second system of units|CGS]] units of measure and for the first time the CGPM made recommendations concerning derived units.
 
The CIPM's draft proposal, which was an extensive revision and simplification of the metric unit definitions, symbols and terminology based on the MKS system of units, was put to the 10th CGPM in 1954. In accordance with Giorgi's proposals of 1901, the CIPM also recommended that the ampere be the base unit from which electromechanical would be derived. The definitions for the ohm and volt that had previously been in use were discarded and these units became derived units based on the metre, ampere, second and kilogram. After negotiations with the CIS and IUPAP, two further base units, the degree kelvin and the candela were also proposed as base units.<ref>{{cite conference
|url = http://www.bipm.org/en/CGPM/db/10/6/
|title = Resolution 6 – Practical system of units
|conference = 10th Conférence Générale des Poids et Mesures (CGPM)
|date = 5–14 October 1954
|accessdate = 2011-05-08}}</ref>  The full system and name "Système International d'Unités" were adopted at the 11th CGPM.<ref>{{cite conference
|url = http://www.bipm.org/en/CGPM/db/11/12/
|title = Resolution 12 – Système International d'Unités
|conference = 11th Conférence Générale des Poids et Mesures (CGPM)
|date = 11–20 October 1960
|accessdate = 2011-05-08}}</ref>
 
During the years that followed the definitions of the base units and particularly the ''mise en pratique''<ref>{{cite web
|url = http://www.bipm.org/en/si/si_brochure/appendix2/
|title = Practical realization of the definitions of some important units
|work = SI brochure, Appendix 2
|publisher = BIPM
|date = 9 September 2010
|accessdate = 2011-05-05}}</ref> to realise these definitions have been refined.
 
===The "New SI"===
{{main|New SI definitions}}
[[File:Relations between new SI units definitions.png|thumb | 250px | Relations between proposed SI units definitions (in colour) and with seven fundamental constants of nature (in grey) with fixed numerical values in the proposed system]]
 
After the metre was redefined in 1960, the kilogram became the only SI base unit that relied on a specific artifact. Moreover, after the 1996–1998 recalibration a clear divergence between the various prototype kilograms was observed.
 
At its 23rd meeting (2007), the CGPM mandated the CIPM to investigate the use of natural constants as the basis for all units of measure rather than the artifacts that were then in use. At a meeting of the CCU held in [[Reading, Berkshire|Reading, United Kingdom]] in September 2010, a resolution<ref>{{cite web
|url = http://www.bipm.org/utils/en/pdf/24_CGPM_Convocation_Draft_Resolution_A.pdf
|title = On the possible future revision of the International System of Units, the SI
|author = Ian Mills
|publisher = CCU
|date = 29 September 2010
|accessdate = 2011-01-01}}</ref> and draft changes to the SI brochure that were to be presented to the next meeting of the CIPM in October 2010 were agreed to in principle.<ref name="draft">{{cite web
|url = http://www.bipm.org/utils/en/pdf/si_brochure_draft_ch2.pdf
|title = Draft Chapter 2 for SI Brochure, following redefinitions of the base units
|author = Ian Mills
|publisher = CCU
|date = 29 September 2010
|accessdate = 2011-01-01}}</ref> The proposals that the CCU put forward were that:
:*in addition to the speed of light, four constants of nature—[[Planck's constant]], an [[elementary charge]], [[Boltzmann constant]] and [[Avogadro's number]]—be defined to have exact values;
:*the international prototype kilogram be retired;
:*the current definitions of the kilogram, [[ampere]], [[kelvin]] and [[Mole (unit)|mole]] be revised;
:*the wording of the definitions of all the base units be tightened up.
 
The CIPM meeting of October 2010 found that "the conditions set by the General Conference at its 23rd meeting have not yet been fully met. For this reason the CIPM does not propose a revision of the SI at the present time";<ref>{{cite web
|url = http://www.bipm.org/en/si/new_si/
|title = Towards the "new SI"
|publisher = [[International Bureau of Weights and Measures]] (BIPM)
|accessdate = 2011-02-20}}</ref> however the CIPM presented a resolution for consideration at the 24th CGPM (17–21 October 2011) to agree the new definitions in principle, but not to implement them until the details have been finalised.<ref>{{cite web
|url = http://www.bipm.org/utils/common/pdf/24_CGPM_Convocation_Draft_Resolution_A.pdf
|title = On the possible future revision of the International System of Units, the SI – Draft Resolution A
|publisher = [[International Committee for Weights and Measures]] (CIPM)
|accessdate = 2011-07-14}}</ref> This resolution was accepted by the conference<ref>{{cite conference
|url= http://www.bipm.org/utils/en/pdf/24_CGPM_Resolution_1.pdf
|title= Resolution 1 – On the possible future revision of the International System of Units, the SI
|conference= 24th meeting of the General Conference on Weights and Measures
|location = [[Sèvres]], France
|date = 17–21 October 2011
|accessdate = 2011-10-25}}</ref> and in addition the CGPM moved the date of the 25th meeting forward from 2015 to 2014.<ref>{{cite press release
| url = http://www.bipm.org/utils/en/pdf/Press_release_resolution_1_CGPM.pdf
| title = General Conference on Weights and Measures approves possible changes to the International System of Units, including redefinition of the kilogram.
| publisher = [[General Conference on Weights and Measures]]
| location = Sèvres, France
| date = 23 October 2011
| accessdate = 2011-10-25}}</ref>
 
==Notes==
{{Reflist|group=Note}}
 
==References==
{{Reflist|2}}
 
==External links==
{{Good Article}}
*{{cite web|url = http://www.metricationmatters.com/docs/MetricationTimeline.pdf
|first1 = Pat
|last1 = Naughtin
|title = A chronological history of the modern metric system
|year = 2009
|accessdate = 2011-09-15}}
 
{{Systems of measurement}}
{{Systems}}
{{Metrication}}
{{SI units}}
 
{{DEFAULTSORT:History of the Metric System}}
[[Category:Metrication]]
[[Category:History of science]]

Latest revision as of 10:02, 25 October 2014

Telecommunications Complex Specialist or Technologist Woodrow Gonsales from Waterville, has hobbies and interests for example badminton, health and fitness and volunteer. Felt exceptionally motivated after going to Natural System of Wrangel Island Reserve.

Here is my blog post: Reversed.Kr

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