Electronvolt: Difference between revisions

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The '''electronvolt (eV)''' is a unit of [[energy]] used in many branches of [[physics]].  
The '''electronvolt (eV)''', also commonly spelled as electron volt (two words), is a unit of [[energy]] used in many branches of [[physics]], especially in atomic,  nuclear, and particle physics.  


One electronvolt  is the amount of potential energy that one electron in an electric potential field &Phi; gains when the field &Phi; is decreased by one volt. The potential energy of an electron in potential &Phi; is equal to &minus;''e''&Phi;, where ''e'' is the (positive) [[elementary charge]].<ref>Value of ''e'' retrieved from [http://www.physicstoday.org/codata/fundconstant_2006.pdf Physics Today] on September 19, 2009</ref>  Hence when &Delta;&Phi; is &minus;1 (volt) the energy gain &Delta;E = ''e'', and it follows that in [[SI]] units where joule is coulomb times volt:
One electronvolt  is the amount of potential energy that one electron in an electric potential field &Phi; loses when the field &Phi; is increased by one volt. The potential energy of a charge ''q'' in &Phi; is equal to ''q''&Phi;.<ref>J. D. Jackson, ''Classical Electrodynamics'',John Wiley, New York, 2nd ed. (1975). p. 45</ref> The charge of an electron is &minus;''e'' (minus the [[elementary charge]]<ref>Value of ''e'' retrieved from [http://www.physicstoday.org/codata/fundconstant_2006.pdf Physics Today] on September 19, 2009</ref>), so that the energy of the electron in the field is &minus;''e''&Phi;. When &Delta;&Phi; = 1 volt, the potential energy loss is ''e'', and it follows that in [[SI]] units, in which the energy unit [[joule]] is [[coulomb]] times [[volt]],
:1 eV = ''e'' (coulomb) &times; 1 (volt) = 1.602&thinsp;176&thinsp;487 &times; 10<sup>&minus;19</sup>  (joule)
::'''1 eV = ''e'' coulomb &times; 1 volt = 1.602&thinsp;176&thinsp;487 &times; 10<sup>&minus;19</sup>  joule.'''


An equivalent definition of the electronvolt  is:  the increase in kinetic energy that a single unbound electron gains by passing through an electric potential difference of 1 volt in vacuum.
The loss in potential energy of a single unbound electron that passes  in vacuum through an electric potential difference of 1 volt is the increase in its kinetic energy (provided radiation damping is negligible).  


==Note==
==Notes==
<references />
<references />

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The electronvolt (eV), also commonly spelled as electron volt (two words), is a unit of energy used in many branches of physics, especially in atomic, nuclear, and particle physics.

One electronvolt is the amount of potential energy that one electron in an electric potential field Φ loses when the field Φ is increased by one volt. The potential energy of a charge q in Φ is equal to qΦ.[1] The charge of an electron is −e (minus the elementary charge[2]), so that the energy of the electron in the field is −eΦ. When ΔΦ = 1 volt, the potential energy loss is e, and it follows that in SI units, in which the energy unit joule is coulomb times volt,

1 eV = e coulomb × 1 volt = 1.602 176 487 × 10−19 joule.

The loss in potential energy of a single unbound electron that passes in vacuum through an electric potential difference of 1 volt is the increase in its kinetic energy (provided radiation damping is negligible).

Notes

  1. J. D. Jackson, Classical Electrodynamics,John Wiley, New York, 2nd ed. (1975). p. 45
  2. Value of e retrieved from Physics Today on September 19, 2009