Physical constants table — CODATA 2018 values with uncertainties

Search 63 physical constants, including the speed of light, Planck, Boltzmann and Avogadro constants and the electron mass, and get each CODATA 2018 value with its unit, its standard uncertainty and a plain number ready to paste into a calculator.

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Constants63
Exact (defined) values
26

CODATA 2018 recommended values

QuantitySymbolValuePlain numberStandard uncertaintyUnit
Speed of light in vacuumc299 792 458299792458exactm s⁻¹
Planck constanth6.626 070 15 × 10⁻³⁴6.62607015e-34exactJ Hz⁻¹
Reduced Planck constantħ1.054 571 817… × 10⁻³⁴1.054571817e-34exactJ s
Elementary chargee1.602 176 634 × 10⁻¹⁹1.602176634e-19exactC
Boltzmann constantk1.380 649 × 10⁻²³1.380649e-23exactJ K⁻¹
Boltzmann constant in eV/Kk8.617 333 262… × 10⁻⁵8.617333262e-5exacteV K⁻¹
Avogadro constantN_A6.022 140 76 × 10²³6.02214076e23exactmol⁻¹
Molar gas constantR8.314 462 618…8.314462618exactJ mol⁻¹ K⁻¹
Faraday constantF96 485.332 12…96485.33212exactC mol⁻¹
Stefan–Boltzmann constantσ5.670 374 419… × 10⁻⁸5.670374419e-8exactW m⁻² K⁻⁴
Wien wavelength displacement law constantb2.897 771 955… × 10⁻³2.897771955e-3exactm K
First radiation constantc₁3.741 771 852… × 10⁻¹⁶3.741771852e-16exactW m²
Second radiation constantc₂1.438 776 877… × 10⁻²1.438776877e-2exactm K
Molar volume of ideal gas (273.15 K, 101.325 kPa)V_m22.413 969 54… × 10⁻³22.41396954e-3exactm³ mol⁻¹
Molar volume of ideal gas (273.15 K, 100 kPa)V_m22.710 954 64… × 10⁻³22.71095464e-3exactm³ mol⁻¹
Loschmidt constant (273.15 K, 101.325 kPa)n₀2.686 780 111… × 10²⁵2.686780111e25exactm⁻³
Atomic mass constantm_u1.660 539 066 60 × 10⁻²⁷1.66053906660e-270.000 000 000 50 e-27kg
Molar mass constantM_u0.999 999 999 65 × 10⁻³0.99999999965e-30.000 000 000 30 e-3kg mol⁻¹
Newtonian constant of gravitationG6.674 30 × 10⁻¹¹6.67430e-110.000 15 e-11m³ kg⁻¹ s⁻²
Vacuum magnetic permeabilityμ₀1.256 637 062 12 × 10⁻⁶1.25663706212e-60.000 000 000 19 e-6N A⁻²
Vacuum electric permittivityε₀8.854 187 8128 × 10⁻¹²8.8541878128e-120.000 000 0013 e-12F m⁻¹
Characteristic impedance of vacuumZ₀376.730 313 668376.7303136680.000 000 057ohm
Planck lengthl_P1.616 255 × 10⁻³⁵1.616255e-350.000 018 e-35m
Planck massm_P2.176 434 × 10⁻⁸2.176434e-80.000 024 e-8kg
Planck timet_P5.391 247 × 10⁻⁴⁴5.391247e-440.000 060 e-44s
Planck temperatureT_P1.416 784 × 10³²1.416784e320.000 016 e32K
Fine-structure constantα7.297 352 5693 × 10⁻³7.2973525693e-30.000 000 0011 e-3
Inverse fine-structure constantα⁻¹137.035 999 084137.0359990840.000 000 021
Rydberg constantR∞10 973 731.568 16010973731.5681600.000 021m⁻¹
Rydberg energy (R∞hc) in eVR∞hc13.605 693 122 99413.6056931229940.000 000 000 026eV
Bohr radiusa₀5.291 772 109 03 × 10⁻¹¹5.29177210903e-110.000 000 000 80 e-11m
Hartree energyE_h4.359 744 722 2071 × 10⁻¹⁸4.3597447222071e-180.000 000 000 0085 e-18J
Electron massm_e9.109 383 7015 × 10⁻³¹9.1093837015e-310.000 000 0028 e-31kg
Electron mass in um_e5.485 799 090 65 × 10⁻⁴5.48579909065e-40.000 000 000 16 e-4u
Electron mass energy equivalent in MeVm_ec²0.510 998 950 000.510998950000.000 000 000 15MeV
Proton massm_p1.672 621 923 69 × 10⁻²⁷1.67262192369e-270.000 000 000 51 e-27kg
Proton mass in um_p1.007 276 466 6211.0072764666210.000 000 000 053u
Proton mass energy equivalent in MeVm_pc²938.272 088 16938.272088160.000 000 29MeV
Neutron massm_n1.674 927 498 04 × 10⁻²⁷1.67492749804e-270.000 000 000 95 e-27kg
Neutron mass in um_n1.008 664 915 951.008664915950.000 000 000 49u
Neutron mass energy equivalent in MeVm_nc²939.565 420 52939.565420520.000 000 54MeV
Proton–electron mass ratiom_p/m_e1836.152 673 431836.152673430.000 000 11
Electron charge to mass quotient−e/m_e-1.758 820 010 76 × 10¹¹-1.75882001076e110.000 000 000 53 e11C kg⁻¹
Classical electron radiusr_e2.817 940 3262 × 10⁻¹⁵2.8179403262e-150.000 000 0013 e-15m
Compton wavelengthλ_C2.426 310 238 67 × 10⁻¹²2.42631023867e-120.000 000 000 73 e-12m
Thomson cross sectionσ_e6.652 458 7321 × 10⁻²⁹6.6524587321e-290.000 000 0060 e-29m²
Electron g-factorg_e-2.002 319 304 362 56-2.002319304362560.000 000 000 000 35
Electron magnetic momentμ_e-9.284 764 7043 × 10⁻²⁴-9.2847647043e-240.000 000 0028 e-24J T⁻¹
Proton magnetic momentμ_p1.410 606 797 36 × 10⁻²⁶1.41060679736e-260.000 000 000 60 e-26J T⁻¹
Bohr magnetonμ_B9.274 010 0783 × 10⁻²⁴9.2740100783e-240.000 000 0028 e-24J T⁻¹
Bohr magneton in eV/Tμ_B5.788 381 8060 × 10⁻⁵5.7883818060e-50.000 000 0017 e-5eV T⁻¹
Nuclear magnetonμ_N5.050 783 7461 × 10⁻²⁷5.0507837461e-270.000 000 0015 e-27J T⁻¹
Magnetic flux quantumΦ₀2.067 833 848… × 10⁻¹⁵2.067833848e-15exactWb
Conductance quantumG₀7.748 091 729… × 10⁻⁵7.748091729e-5exactS
Josephson constantK_J483 597.848 4… × 10⁹483597.8484e9exactHz V⁻¹
von Klitzing constantR_K25 812.807 45…25812.80745exactohm
Electron volteV1.602 176 634 × 10⁻¹⁹1.602176634e-19exactJ
Unified atomic mass unit (dalton)u1.660 539 066 60 × 10⁻²⁷1.66053906660e-270.000 000 000 50 e-27kg
Hyperfine transition frequency of Cs-133Δν_Cs9 192 631 7709192631770exactHz
Luminous efficacy of 540 THz radiationK_cd683683exactlm W⁻¹
Standard acceleration of gravityg_n9.806 659.80665exactm s⁻²
Standard atmosphereatm101 325101325exactPa
Standard-state pressurep°100 000100000exactPa

63 rows — scroll inside the table, or download the CSV.

Values: CODATA 2018 as published by NIST (https://physics.nist.gov/cuu/Constants/ArchiveASCII/allascii_2018.txt). “exact” values are fixed by the 2019 SI definitions; “…” means the exact value has more digits. CODATA 2022 values have since been published and differ slightly for measured constants — use them if your course requires the latest set.

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How to use the physical constants table

  1. Type in Search: part of a name (Planck, electron), a symbol (G, R, N_A) or the word “exact”.
  2. Narrow the list with Category: Universal, Electromagnetic, Physico-chemical, Atomic and nuclear, or Adopted values.
  3. Read the table: quantity, symbol, value with digit groups, Plain number, standard uncertainty and unit.
  4. Copy the Plain number (such as 6.62607015e-34) straight into a calculator, spreadsheet or code. The table can also be saved as codata-2018.csv.

What it does and when to use it

Physics and chemistry problems often stop while you hunt for a constant, and a missing digit or a wrong power of ten ruins the answer. This table gives the official value, its unit and its uncertainty in one place. It suits homework, lab reports, and checking the figures on a data sheet.

For the prefixes in units such as MeV or nm, see the SI unit prefix table. The Greek symbols used for constants, such as σ, Φ and ħ, are explained in the Greek alphabet reference. For molar masses, use the molar mass calculator.

How it works

The values were copied from NIST’s CODATA 2018 listing. The table shows each value in groups of three digits, as NIST does, with powers of ten written as × 10ⁿ, and gives the same value as a plain number in E notation. Units use superscripts, so m^3 kg^-1 s^-2 becomes m³ kg⁻¹ s⁻². Search matches part of a name, an exact symbol, or “exact” for defined values. The search runs in your browser.

Worked examples

Avogadro constant. Searching “Avogadro” gives N_A = 6.022 140 76 × 10²³ mol⁻¹, marked exact. Its plain number is 6.02214076e23.

Electron mass. Searching “electron mass” lists four entries: the mass in kilograms, 9.109 383 7015 × 10⁻³¹ kg with an uncertainty of 0.000 000 0028 × 10⁻³¹, the mass in atomic mass units, its energy equivalent of 0.510 998 950 00 MeV, and the proton–electron mass ratio.

Defined values. Searching “exact” returns 26 constants, from the speed of light, 299 792 458 m s⁻¹, to the standard atmosphere, 101 325 Pa.

Limits and tips

  • A one-letter search matches every name containing that letter as well as the symbol, so “k” shows the Planck constant too. Use the full name for a short list.
  • Round only at the end of a calculation, and give your answer to the same significant figures as your least precise data.
  • Exam data sheets often round constants (for example g = 9.81 m s⁻²). Use the values your exam board gives.

Frequently asked questions

Why do some constants say "exact"?
Since the SI redefinition of 2019, seven constants, among them the speed of light, the Planck constant, the elementary charge, the Boltzmann constant and the Avogadro constant, have fixed values that define the units. Constants calculated only from those, such as the molar gas constant R, are exact too. The search "exact" lists all 26 in the table.
What does "…" after a value mean?
The value is exact, but it has more digits than are shown, for example the molar gas constant 8.314 462 618… J mol⁻¹ K⁻¹. It comes from exact constants by a calculation that does not end in a short decimal.
What is the standard uncertainty?
For a measured constant, it shows how far the true value may lie from the stated one (one standard deviation). The Newtonian constant of gravitation G is 6.674 30 × 10⁻¹¹ with an uncertainty of 0.000 15 × 10⁻¹¹ m³ kg⁻¹ s⁻².
Why CODATA 2018 and not the latest values?
The table uses the 2018 adjustment as published by NIST. CODATA 2022 values have since appeared and differ slightly for measured constants; the exact ones are unchanged. If your course or exam asks for the newer set, or for rounded data-sheet values, use those.

Sources

  1. Fundamental Physical Constants — Complete Listing, 2018 CODATA adjustment — National Institute of Standards and Technology (NIST), accessed 2026-10-08

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