next up previous
Next: Bibliography Up: Quantumhtml Previous: Exercises


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$\displaystyle :$   $\displaystyle k_B$ $\displaystyle =1.3806488\times{10}^{-23}\,{\rm J\,K}^{\,-1}$    


next up previous
Next: Bibliography Up: Quantumhtml Previous: Exercises
Richard Fitzpatrick 2016-01-22