Physical Constants

Planck's constant $\displaystyle :$	$\displaystyle h$	$\displaystyle =6.62606957\times 10^{-34}\,{\rm J\,s}$
Reduced Planck's constant $\displaystyle :$	$\displaystyle \hbar$	$\displaystyle =1.05457173\times 10^{-34}\,{\rm J\,s}$
Electron mass $\displaystyle :$	$\displaystyle m_e$	$\displaystyle =9.10938291\times 10^{-31}\,{\rm kg}$
Electron charge (magnitude) $\displaystyle :$	$\displaystyle e$	$\displaystyle =1.60217657 \times 10^{-19}\,{\rm C}$
Proton mass $\displaystyle :$	$\displaystyle m_p$	$\displaystyle =1.67262178\times 10^{-27}\,{\rm kg}$
Permittivity of free space $\displaystyle :$	$\displaystyle \epsilon_0$	$\displaystyle = 8.85418782\times 10^{-12}\,{\rm F}\,{\rm m}^{\,-1}$
Permeability of free space $\displaystyle :$	$\displaystyle \mu_0$	$\displaystyle = 4\pi\times 10^{-7}\,{\rm H}\,{\rm m}^{\,-1}$
Speed of light in vacuum $\displaystyle :$	$\displaystyle c$	$\displaystyle =2.99792458 \times 10^{\,8}\,{\rm m\,s}^{-1}$

Fine structure constant $\displaystyle :$	$\displaystyle \alpha$	$\displaystyle =\frac{e^{\,2}}{4\pi\,\epsilon_0\,\hbar\,c}=\frac{1}{137.035999}$
Bohr radius $\displaystyle :$	$\displaystyle a_0$	$\displaystyle =\frac{\hbar}{\alpha\,m_e\,c}= 5.2917721092\times 10^{-11}\,{\rm m}$
Hydrogen ground-state energy $\displaystyle :$	$\displaystyle E_0$	$\displaystyle =-\frac{1}{2}\,\alpha^{\,2}\,m_e\,c^{\,2}=-13.6057\,{\rm eV}$
Bohr magnetron $\displaystyle :$	$\displaystyle \mu_B$	$\displaystyle = \frac{e\,\hbar}{2\,m_e}=9.27400968\times 10^{-24}\,{\rm J\,T}^{\,-1}$
Nuclear magnetron $\displaystyle :$	$\displaystyle \mu_N$	$\displaystyle = \frac{e\,\hbar}{2\,m_p}=5.05078324\times 10^{-27}\,{\rm J\,T}^{\,-1}$
Classical electron radius $\displaystyle :$	$\displaystyle r_e$	$\displaystyle = \frac{e^{\,2}}{4\pi\,\epsilon_0\,m_e\,c^{\,2}}= 2.8179403267\times 10^{-15}\,{\rm m}$

Molar ideal gas constant $\displaystyle :$		$\displaystyle R$	$\displaystyle =8.3144621\,{\rm J\,K}^{\,-1}$
Boltzmann constant $\displaystyle :$		$\displaystyle k_B$	$\displaystyle =1.3806488\times{10}^{-23}\,{\rm J\,K}^{\,-1}$