# Physics Exercises/Fundamental Constants

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# Table of Constants

Fundamental constants from NIST Physics Lab
Name Symbol Value Units Relative Uncertainty
Speed of light (in vacuum) $c$ $299\ 792\ 458$ $\mathrm{m}\ \mathrm{s}^{-1}$ (exact)
Magnetic Constant $\mu_0$ $4\pi\times10^{-7}\approx$ $\mathrm{N}\ \mathrm{A}^{-2}$ (exact)
Electric Constant $\epsilon_0$ $1/(\mu_0c^2)\approx$ $\mathrm{F}\ \mathrm{m}^{-1}$ (exact)
Newtonian Gravitaional Constant $G$ $6.674\ 2(10)\times10^{-11}$ $\mathrm{m}^3\ \mathrm{kg}^{-1}\ \mathrm{s}^{-2}$ $1.5\times10^{-4}$
Plank's Constant $h$ $6.626\ 069\ 3(11)\times10^{-34}$ $\mathrm{J}\ \mathrm{s}$ $1.7\times10^{-7}$
Elementary charge $e$ $1.602\ 176\ 53(14)\times10^{-19}$ $\mathrm{C}$ $8.5\times10^{-8}$
Mass of the electron $m_e$ $9.109\ 382\ 6(16)\times10^{-31}$ $\mathrm{kg}$ $1.7\times10^{-7}$
Mass of the proton $m_p$ $1.672\ 621\ 71(29)\times10^{-27}$ $\mathrm{kg}$ $1.7\times10^{-7}$
Fine structure constant $\alpha=e^2/(2\epsilon_0hc)$ $7.297\ 352\ 568(24)\times10^{-3}$ dimentionless $3.3\times10^{-9}$
Molar gass constant $R$ $8.314\ 472(15)$ $\mathrm{J}\ \mathrm{mol}^{-1}\ \mathrm{K}^{-1}$ $1.7\times10^{-6}$
Boltzman's constant $k$ $1.380\ 650\ 5(24)$ $\mathrm{J}\ \mathrm{K}^{-1}$ $1.8\times10^{-6}$
Avogadro's Number $N_A$ $6.022\ 141\ 5(10)\times10^{23}$ $\mathrm{mol}^{-1}$ $1.7\times10^{-7}$
Rydberg constant $R_\infty$ $10\ 973\ 731.568\ 525(73)$ $\mathrm{m}^{-1}$ $6.6\times10^{-12}$

## To Be Merged Into Table

This list is prepared in the format

• Constant (symbol) : value

• 1 Atmosphere Pressure (1 atm) : 1.0 × 105 N/m2 = 1.0 × 105 Pa
• 1 Electron Volt (1 eV) : 1.60 × 10−19 J
• Bohr radius (a0)  : 5.292 × 10−11 m
• Coulomb's Law Constant (k) : 1/(4 π ε0) = 9.0 × 109 N·m2/C2
• Faraday constant (F)  : 96,485 C·mol−1
• Gravitational accelaration (g) : 9.80665 m·s-2
• Mass of a neutron (mn) : 1.67495 × 10−27 kg
• Mass of Earth : 5.98 × 1024 kg
• Mass of the Moon : 7.35 × 1022 kg
• Mean radius of Earth : 6.37 × 106 m
• Mean radius of the Moon : 1.74 × 106 m
• Dirac's Constant ($\hbar$) : $h/(2\pi)$ = 1.05457148 × 10−34 J·s
• Speed of sound in air at STP : 3.31 × 102 m/s
• Unified Atomic Mass Unit (u) : 1.66 × 10−27 kg
• Vacuum Permittivity (ε0) : 8.85 × 10−12 C2/(N·m2)
 Item Proton Neutron Electron Mass 1 1 Negligible Charge +1 0 -1