electronvolt per hartree with units

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MichaelBartmess

on

Jul 24, 2020, 6:28:07 PM

Created by

MichaelBartmess

on

May 7, 2014, 6:36:30 PM

E_{h} = 27.21138505 e V

$E_h = 27.21138505 eV$

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Notes

The Hartree energy has fundamental relationship so a number of other physical constants:

$E_{h} = \frac{h^{2}}{m_{e} \cdot a_{0}^{2}} = m_{e} {(\frac{e^{2}}{4 π \cdot ε_{0} \cdot h})}^{2} = m_{e} \cdot c^{2} \cdot α^{2} = \frac{h \cdot c \cdot α}{a_{0}}$ $E_h = h^2/(m_e*a_0^2) = m_e(e^2/(4pi * epsilon_0 *h))^2 = m_e*c^2*alpha^2 = (h*c*alpha)/a_0$ , where

h = Planck's constant
$m_{e}$ $m_e$ = electron rest mass
e = elementary charge of a proton
$a_{0}$ $a_0$ = Bohr radius
$ε_{0}$ $epsilon_0$ = electric constant or permittivity of free space
c = speed of light
$α$ $alpha$ = fine structure constant or coupling constant for electromagnetic interaction

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electronvolt per hartree with units

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