INDIA COMPETITION: SOME PHYSICAL CONSTANTS:



Planck constant h: 6.6260755·10^-34 J·s; h / (2 ) = 1.05457266·10^-34 J·s
Boltzmann constant k_B: 1.380658·10^-23 J/K ( = 8.617385·10^-5 eV/K )
Elementary charge e: 1.60217733·10^-19 C
Avogadro number N_A: 6.0221367·10²³ particles/mol
Speed of light c: 2.99792458·10⁸ m/s
Permeability of vacuum ₀: ₀ = 4 ·10^-7 T²·m³/J; 12.566370614·10^-7 T²·m³/J
Permittivity of vacuum ₀: ₀ = 1 / (₀ c²); 8.854187817·10^-12 C²/J·m
Fine structure constant: 1 / 137.0359895
Electron rest mass m_e: 9.1093897·10^-31 kg
Proton rest mass m_p: 1.6726231·10^-27 kg
Neutron rest mass m_n: 1.6749286·10^-27 kg
Bohr magneton _B: _B = e h / (4 m_e); 9.2740154·10^-24 J/T
Nuclear magneton _N: _N = e h / (4 m_p); 5.0507866·10^-27 J/T
Free electron g factor g_e: 2.002319304386
Free electron gyromagnetic ratio _e: _e = 2 g_e _B / h; 1.7608592·10¹¹ 1/s·T; _e / (2 ) = 28.024944 GHz/T
Electron magnetic moment _e: _e = -(1/2) g_e _B; -9.2847701·10^-24 J/T
Proton gyromagnetic ratio (H₂O) _p: 2.67515255·10⁸ 1/s·T; _p / (2 ) = 42.576375 MHz/T
Proton magnetic moment _p: 1.41060761·10^-26 J/T
Proton-electron ratios: m_p / m_e = 1836.152701; _e / _p = 658.2106881; _e / _p = 658.2275841 (protons in water)

Charge-to-mass ratio for the electron e / m_e: 1.75880·10¹¹ C/kg
Atomic mass unit amu: 1.66054·10^-27 kg
Bohr radius a₀: 5.29177·10^-11 m
Electron radius r_e: 2.81792·10^-15 m
Gas constant R: R = N_A k_B; 8.31451 m²·kg/s²·K·mol
Molar volume V_mol: 22.41383 m³/kmol
Faraday constant F: F = N_A e; 9.64846·10⁴ C/mol
Proton g factor (Landé factor) g_H: 5.585
Gravitational constant G: (6.673 +- 0.010)·10^-11 m³/kg·s²; 6.67390·10^-11 m³/kg·s² +- 0.0014 %; (6.6873 +- 0.0094)·10^-11 m³/kg·s²
Acceleration due to gravity g: 9.80665 m/s²
Compton wavelength of the electron _c: _c = h / (m_e c); 2.42631·10^-12 m

Further Useful Constants

Atomic energy unit Hartree: 1 Hartree = e² / (4 ₀ a₀); 1 Hartree = 2.625501·10⁶ J/mol (approx. 627.5 kcal/mol)

(Note that the use of brackets [ ] in the following expressions is not in accordance with standards which require the use of a slash, e.g. A/MHz.)

Electron Larmor frequency: _e = _e / (2 ) (g / g_e) B; _e [GHz] = 13.9962 g B [T]; g = 0.07144775 _e [GHz] / B [T]; g = 3.04199 _e [GHz] / _p [MHz]; B [T] = 0.0234872 _p [MHz]
Conversion of Units: 1 G = 0.1 mT; 1 T = 10 kG; 1 mT = 10 G; A [MHz] = 2.80249 (g / g_e) A [G]; A [MHz] = 28.0249 (g / g_e) 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]