Atomic mass unit (amu) 1 amu = 1.6605389 × 10−24 g 1 g = 6.022142 × 1023 amu Avogadro’s number (NA) 6.022142 × 1023/mol Boltzmann’s constant (k) 1.380651 × 10−23 J/K Charge on electron (e) 1.6021765 × 10−19 C Faraday’s constant (F) 9.6485338 × 104 C/mol Gas constant (R) R=k NA 0.0820575 (L atm)/(mol K) = 8.31447 J/(mol K) Mass of electron (mn) 5.485799 × 10−4 amu = 9.109383 × 10−28 g Mass of neutron (mn) 1.0086649 amu = 1.6749273 × 10−24 g Mass of proton (mp) 1.0072765 amu = 1.6726217 × 10−24 g Pi π = 3.1415927 Planck’s constant (h) h = 6.626069 × 10 −34J s $$\hbar=\dfrac{h}{2\pi}$$=1.05457266·10-34 J·s Speed of light in vacuum (c) c = 2.99792458 × 108 m/s (exact) Permeability of vacuum $$\mu_0$$ $$\mu_0 = 4\pi$$ ·10-7 T2·m3/J 12.566370614·10-7 T2·m3/J Permittivity of vacuum $$\epsilon_0$$ $$\epsilon_0 = \dfrac{1}{\mu_o\, c^2}$$ 8.854187817·10-12 C2/J·m Fine structure constant $$\alpha$$ $$\dfrac{1}{137.0359895}$$ Bohr magneton $$\mu_B$$ $$\mu_B = \dfrac{e h }{4 \pi \,m_e}$$ 9.2740154·10-24 J/T Nuclear magneton $$\mu_N$$ $$\mu_N = \dfrac{e h }{4 \pi \,m_p}$$ 5.0507866·10-27 J/T Free electron g factor $$g_e$$ 2.002319304386 Free electron gyromagnetic ratio $$\gamma_e$$ $$\gamma_e = \dfrac{2 g_e B}{h}$$ 1.7608592·1011 1/s·T $$\dfrac{\gamma_e}{2\pi}$$ = 28.024944 GHz/T Electron magnetic moment $$\mu_e$$ $$\mu_e = \dfrac{- g_e \mu_B}{2}$$ -9.2847701·10-24 J/T Proton gyromagnetic ratio (H2O) $$\gamma_p$$ 2.67515255·108 1/s·T $$\dfrac{\gamma_p}{2 \pi}$$ = 42.576375 MHz/T Proton magnetic moment$$\mu_p$$ 1.41060761·10-26 J/T Charge-to-mass ratio for the electron $$\frac{e}{m_e}$$ 1.75880·1011 C/kg Bohr radius $$a_0$$ 5.29177·10-11 m Electron radius $$r_e$$ 2.81792·10-15 m Proton g factor (Landé factor) $$g_H$$ 5.585 Gravitational constant G (6.673 ± 0.010)·10-11 m3/kg·s2 (CODATA) Acceleration due to gravity g 9.80665 m/s2 Compton wavelength of the electron $$\lambda_c$$ 2.42631·10-12 m Atomic energy unit Hartree 1 Hartree = $$\dfrac{e^2}{4 \pi \epsilon_o\, a_0}$$ 1 Hartree = 2.625501·106 J/mol (approx. 627.5 kcal/mol) Proton Larmor frequency $$\nu_p = \gamma_p / 2\pi \, B$$ $$\nu_p$$ = 42.5764 MHz/T (H2O) Electron Larmor frequency $$\nu_e$$ = $$\dfrac{\nu_e}{2\pi}$$ (g / ge) B $$\nu_e$$ [GHz] = 13.9962 g B [T] g = 0.07144775 $$\nu_e$$ [GHz] / B [T] g = 3.04199$$\nu_e$$ [GHz] / $$\nu_p$$ [MHz] B [T] = 0.0234872 $$\nu_p$$ [MHz] Conversion of Units 1 G = 0.1 mT 1 T = 10 kG 1 mT = 10 G A [MHz] = 2.80249 (g / ge) A [G] A [MHz] = 28.0249 (g / ge) A [mT] A [MHz] = 13.9962 g A [mT] A [MHz] = 2.99792·104 A [cm-1] A [cm-1] = 0.333564·10-4 A [MHz] A [cm-1] = 4.66863·10-4 g A [mT]