Physics Exercises/Fundamental Constants

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Table of Constants[edit]

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[edit]

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

See Also[edit]

Wiki-links[edit]

External Links[edit]