: E_\mathrm{h} = {\hbar^2 \over {m_\mathrm{e} a^2_0}} = m_\mathrm{e}\left(\frac{e^2}{4\pi\varepsilon_0\hbar}\right)^2 = m_\mathrm{e} c^2 \alpha^2 = {\hbar c \alpha \over {a_0}} :: = 2
Ry = 2
R∞hc :: = :: = :: = :: ≘ :: ≘ :: ≘ :: ≘ where: •
ħ is the
reduced Planck constant, •
me is the
electron mass, •
e is the
elementary charge, •
a0 is the
Bohr radius, •
ε0 is the
electric constant, •
c is the
speed of light in vacuum, and •
α is the
fine-structure constant. Effective hartree units are used in semiconductor physics where e^2 is replaced by e^2/\varepsilon and \varepsilon is the static dielectric constant. Also, the electron mass is replaced by the effective band mass m^*. The effective hartree in semiconductors becomes small enough to be measured in
millielectronvolts (meV). == See also ==