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Electronvolt




One electronvolt is a very small amount of energy:
: 1 eV = 1.602 176 53(14) J . 1 An in-depth discussion of how the CODATA constants were selected and determined. (or approximately 0.160 A J)

The unit electronvolt is accepted (but not encouraged) for use with SI . It is widely used in Solid State , Atomic , Nuclear , and Particle Physics , often with Prefixes m, k, M, G or T. In a recorded lecture from 1961 Richard Feynman apologized to his students for this failure by atomic physicists to use the appropriate SI unit (which would be the Atto joule):
"A single atom is such a small thing that to talk about its energy in joules would be inconvenient. But instead of taking a definite unit in the same system, like 10−20 J,


In Chemistry , it is often useful to have the molar equivalent, that is the kinetic energy that would be gained by a Mole of electrons passing through a potential difference of one volt. This quantity is equal to 96.48538(2)   KJ/mol . Ionization Energies and other atomic properties are often quoted in electronvolts, especially in older texts.


USING ELECTRONVOLTS TO MEASURE MASS

Albert Einstein reasoned that energy is equivalent to Mass , as famously expressed in the Mass-energy Equivalence formula ''E'' = ''mc''&2 (1.0000 Kg = 89.876 PJ ). It is thus common in particle physics, where mass and energy are often interchanged, to use eV/''c''&2 or even simply eV as a unit of mass.

For example, an electron and a Positron , each with a mass of 0.511 MeV/c&2, can annihilate to yield 1.022 MeV of energy. The Proton has a mass of 0.938 GeV/c&2, making GeV a very convenient unit of mass for Particle Physics .
:1 eV/c&2 = 1.783 kg
:1 keV/c&2 = 1.783 kg
:1 MeV/c&2 = 1.783 kg
:1 GeV/c&2 = 1.783 kg
:1 TeV/c&2 = 1.783 kg
:1 PeV/c&2 = 1.783 kg
:1 EeV/c&2 = 1.783 kg
See: Orders Of Magnitude (mass)

In some older documents, and in the name Bevatron , the symbol "BeV" is used, which stands for "billion-electron-volt"; it is equivalent to the GeV (gigaelectronvolt).


ELECTRONVOLTS AND ENERGY

For comparison:

  • 3.2 Joule or 200 MeV - total energy released in Nuclear Fission of one U-235 atom (on average; depends on the precise break up)

  • 3.5 joule or 210 MeV - total energy released in fission of one Pu-239 atom (also on average)

  • Molecular Bond Energies are on the order of an electronvolt per molecule.

  • The typical atmospheric molecule has a kinetic energy of about 1/40 EV . This corresponds to Room Temperature .



ELECTRONVOLTS AND PHOTON PROPERTIES


The energy ''E'', frequency ''f'', and wavelength λ of a photon are related by

:E=hf= rac{hc}{\lambda}= rac{1240~ m{nm~eV}}{\lambda}

where ''h'' is Planck's Constant and ''c'' is the Speed Of Light . For example, the spectrum of visible light consists of wavelengths ranging from 400 nm to 700 nm. Photons of visible light therefore have energies ranging from

:E_{min} = rac{1240~ m{nm~eV}}{700~ m{nm}} = 1.77~ m{eV}

to

:E_{max} = rac{1240~ m{nm~eV}}{400~ m{nm}} = 3.10~ m{eV}.

An electronvolt is also the energy of an infrared photon with a wavelength of approximately 1240nm. 10eV would correspond to ultraviolet of 124nm, etc.


USING ELECTRONVOLTS TO MEASURE TIME AND DISTANCE

In Particle Physics , distances and times are sometimes expressed in inverse electronvolts via the conversion factorsK. Hagiwara et al, ''Review of Particle Physics'', Phys. Rev. D66, 010001 (2002)

  • \hbar = 6.582 118 89(26) x 10-16 eV s

  • \hbar c = 197.326 960 2(77) eV nm


In these units, the Mean Lifetime au of an unstable particle can be reexpressed in terms of its ''decay width'' \Gamma (in eV) via \Gamma = \hbar/ au. For example, the B0 Meson has a mean lifetime of 1.542(16) Picosecond s, or a decay width of 4.269(44) x 10-4 eV, and its mean decay length is c au = 462 \mum.


ELECTRONVOLTS AND TEMPERATURE

In certain fields, such as :

:{1 \mbox{ eV} \over k_B} = {1.60217653(14) imes 10^{-19} \mbox{J} \over 1.3806505(24) imes 10^{-23} \mbox{J/K}} = 11604.505(20) \mbox{ kelvins}

For example, a typical Magnetic Confinement Fusion plasma is 15 keV, or 174 megakelvins.


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