Pentagonal prism

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In nuclear physics and chemistry, the Q value for a reaction is the amount of energy released by that reaction. From energy conservation of the simple reaction,

$a+X\rightarrow Y+b$

one finds,

$m_{a}c^{2}+K_{a}+m_{X}c^{2}+K_{X}=m_{Y}c^{2}+K_{Y}+m_{b}c^{2}+K_{b}$

where K is the kinetic energy and m is the rest mass. Rewriting the expression above as

$\left(m_{a}+m_{X}-m_{b}-m_{Y}\right)c^{2}=K_{b}+K_{Y}-K_{a}-K_{X}$

enables the general definition of Q:

$Q=K\left({\text{Final}}\right)-K\left({\text{Initial}}\right)=\left(m({\text{Initial}})-m({\text{Final}})\right)c^{2}$

A reaction with a positive Q value is exothermic, i.e. has a net release of energy, since the kinetic energy of the final state is greater than the kinetic energy of the initial state. A reaction with a negative Q value is endothermic, i.e. requires a net energy input, since the kinetic energy of the final state is less than the kinetic energy of the initial state.

Q values are also featured in particle physics. For example in Sargent's rule, which states that the reaction rate of weak interactions is proportional to Q⁵. The Q value is the kinetic energy released in the decay of the particle at rest. For example, for neutron decay:

$Q=(m_{\text{n}}-m_{\text{p}}-m_{\mathrm {\overline {\nu }} }-m_{\text{e}})c^{2}$

where m_n is the mass of the neutron, m_p is the mass of the proton, m_{Template:Overline} is the mass of the electron antineutrino and m_e is the mass of the electron.

See also

• Fusion energy gain factor

Notes and references

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

External links

• Nuclear Structure and Decay Data – IAEA with query on decays' Q-values

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