Expand description
Physical constants, SI units.
Source for every value: CODATA 2022 recommended values, P. J. Mohr, D. B. Newell, B. N. Taylor, E. Tiesinga, “CODATA recommended values of the fundamental physical constants: 2022”, Rev. Mod. Phys. 97, 025002 (2025), doi:10.1103/RevModPhys.97.025002. Values marked “exact” are fixed by the 2019 SI redefinition; the rest carry their standard uncertainty in the doc comment.
Verified digit by digit on 2026-10-06 (#15) against NIST’s listing of the
2022 CODATA adjustment, https://physics.nist.gov/cuu/Constants/Table/allascii.txt
(rows “elementary charge”, “Planck constant”, “speed of light in vacuum”,
“Boltzmann constant”, “Avogadro constant”, “vacuum electric permittivity”,
“fine-structure constant”, “electron mass”, “proton mass”, “atomic mass
constant”, “Bohr radius”, “Hartree energy”, “electron mass energy
equivalent”). Every stored value equals the listed one. HBAR and
COULOMB_E2 are not stored values but expressions of the stored ones;
the tests check them, and four stored values, against other rows of the
same listing.
Constants§
- ATOMIC_
MASS_ UNIT - Atomic mass constant
m_u(unified atomic mass unit), kg. CODATA 2022: 1.660 539 068 92(52)e-27. - AVOGADRO
- Avogadro constant
N_A, 1/mol. CODATA 2022: 6.022 140 76e23 (exact). - BOHR_
RADIUS - Bohr radius
a₀, m. CODATA 2022: 5.291 772 105 44(82)e-11. - BOLTZMANN
- Boltzmann constant
k_B, J/K. CODATA 2022: 1.380 649e-23 (exact). - COULOMB_
E2 - Coulomb constant
e² / (4π ε₀), J m. Derived fromELEMENTARY_CHARGE(C) andVACUUM_PERMITTIVITY(F/m = C²/(J m)), so the unit is J m (about 2.307e-28 J m, i.e. 14.3996 eV Å). CODATA lists no row for this combination; its relative uncertainty is that of ε₀, 1.6e-10. This is the combination the screened-Coulomb interatomic potentials in the ion engine are written with. - ELECTRON_
MASS - Electron mass
m_e, kg. CODATA 2022: 9.109 383 7139(28)e-31. - ELECTRON_
REST_ ENERGY - Electron rest energy
m_e c², J. CODATA 2022: 8.187 105 7880(26)e-14 (equivalently 0.510 998 950 69(16) MeV). - ELEMENTARY_
CHARGE - Elementary charge
e, C. CODATA 2022: 1.602 176 634e-19 (exact). - FINE_
STRUCTURE - Fine-structure constant
α, dimensionless. CODATA 2022: 7.297 352 5643(11)e-3. - HARTREE_
ENERGY - Hartree energy
E_h, J. CODATA 2022: 4.359 744 722 2060(48)e-18. - HBAR
- Reduced Planck constant
h / 2π, J s. Derived from the exactPLANCK; CODATA 2022 lists 1.054 571 817…e-34 (exact). - PLANCK
- Planck constant
h, J s. CODATA 2022: 6.626 070 15e-34 (exact). - PROTON_
MASS - Proton mass
m_p, kg. CODATA 2022: 1.672 621 925 95(52)e-27. - SPEED_
OF_ LIGHT - Speed of light in vacuum
c, m/s. CODATA 2022: 299 792 458 (exact). - VACUUM_
PERMITTIVITY - Vacuum electric permittivity
ε₀, F/m. CODATA 2022: 8.854 187 8188(14)e-12.