Difference between revisions of "Hartree"

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(Created page with 'The '''hartree''' (symbol: '''''E''<sub>h</sub>'''), also known as the '''Hartree energy''', is the atomic unit of energy, named after the British [[ph…')
 
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{{Unit of energy
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| name = hartree
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| joule = 4.359 743 94(22){{e|−18}}
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| electronvolt = 27.211 383 86(68)
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| kg = 4.850 869 34(24){{e|−35}}
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| u = 2.921 262 2986(42){{e|−8}}
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| MHz = 6.579 683 920 722(44){{e|9}}
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| cm-1 = 219 474.631 3705(15)
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| K = 315 774.65(55)
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}}
 
The '''hartree''' (symbol: '''''E''<sub>h</sub>'''), also known as the '''Hartree energy''', is the [[atomic unit]] of [[energy]], named after the [[United Kingdom|British]] [[physicist]] [[Douglas Hartree]]. It is defined as the [[electric potential energy]] of the [[hydrogen]] [[atom]] in its [[ground state]], and is equal to 2''R''<sub>∞</sub>''hc''<sub>0</sub>, where ''R''<sub>∞</sub> is the [[Rydberg constant]], ''h'' is the [[Planck constant]] and ''c''<sub>0</sub> is the [[speed of light]]. The 2006 [[CODATA recommended value]] is ''E''<sub>h</sub>&nbsp;= {{nowrap|4.359 743 94(22){{e|−18}}&nbsp;J}} = {{nowrap|27.211 383 86(68)&nbsp;eV}}.<ref>{{CODATA 2006|url=http://physics.nist.gov/cgi-bin/cuu/Value?hr}}.</ref>
 
The '''hartree''' (symbol: '''''E''<sub>h</sub>'''), also known as the '''Hartree energy''', is the [[atomic unit]] of [[energy]], named after the [[United Kingdom|British]] [[physicist]] [[Douglas Hartree]]. It is defined as the [[electric potential energy]] of the [[hydrogen]] [[atom]] in its [[ground state]], and is equal to 2''R''<sub>∞</sub>''hc''<sub>0</sub>, where ''R''<sub>∞</sub> is the [[Rydberg constant]], ''h'' is the [[Planck constant]] and ''c''<sub>0</sub> is the [[speed of light]]. The 2006 [[CODATA recommended value]] is ''E''<sub>h</sub>&nbsp;= {{nowrap|4.359 743 94(22){{e|−18}}&nbsp;J}} = {{nowrap|27.211 383 86(68)&nbsp;eV}}.<ref>{{CODATA 2006|url=http://physics.nist.gov/cgi-bin/cuu/Value?hr}}.</ref>
  
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[[Category:Units of energy]]
 
[[Category:Units of energy]]
 
[[Category:Physical constants]]
 
[[Category:Physical constants]]
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{{CC-BY-3.0}}
 
{{CC-BY-3.0}}

Revision as of 07:27, 28 March 2010

1 hartree =
4.359 743 94(22) × 10−18 J
27.211 383 86(68) eV
Energy equivalents
1 hartree ≜
Mass
4.850 869 34(24) × 10−35 kg
2.921 262 2986(42) × 10−8 u
Frequency/wavenumber
6.579 683 920 722(44) × 109 MHz
219 474.631 3705(15) cm−1
Temperature
315 774.65(55) K

The hartree (symbol: Eh), also known as the Hartree energy, is the atomic unit of energy, named after the British physicist Douglas Hartree. It is defined as the electric potential energy of the hydrogen atom in its ground state, and is equal to 2Rhc0, where R is the Rydberg constant, h is the Planck constant and c0 is the speed of light. The 2006 CODATA recommended value is Eh = 4.359 743 94(22) × 10−18 J = 27.211 383 86(68) eV.[1]

The hartree energy is approximately twice the ionization energy of hydrogen: the relationship is no exact because the nucleus of the hydrogen atom does not have infinite mass. However, the relationship Eh = 2Rhc0 is exact, as the effects of non-infinite nuclear mass are already considered in the Rydberg constant (hence the subscript infinity).

The hartree is usually used as a unit of energy in calculational chemistry: for experimental measurements at the atomic scale, the electronvolt (eV) or the reciprocal centimetre (cm−1) are much more widely used.

References

External links

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