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CODATA.map version 1.9
This file establishes a mapping between physical quantities
as expressed in two different worlds:
* GNU units expressions, based on entries in its definitions.units file
* CODATA data from https://physics.nist.gov/cuu/Constants/Table/allascii.txt
This is used by the codata-check script to facilitate the comparison
of corresponding values between GNU units and CODATA.
Format:
* An initial header, before the line of dashes, is commentary,
ignored by the codata-check script.
* Blank lines, and lines whose first non-blank character is '#', are ignored
(and hence are good for adding comments).
* There are two fields: the GNU expression and the CODATA quantity name;
these fields are separated by the leftmost sequence of two or more spaces.
* As a special exception, if the CODATA quantity name starts with a "*",
the rest of the name is actually interpreted as a second GNU expression;
the two exprssions will be checked for equivalence with each other.
GNU units expression for quantity Name of quantity in NIST's CODATA file
----------------------------------------------------------------------------------------------------------------------------
# primary values -
# ones whose values need to be tracked between
# GNU units and CODATA
#
alpha fine-structure constant
alphachargeradius alpha particle rms charge radius
alphaparticlemass alpha particle mass in u
angstromstar Angstrom star
atomicmassunit atomic mass constant
deuteronchargeradius deuteron rms charge radius
deuteronmass deuteron mass in u
electronmass electron mass in u
electronmass_u electron relative atomic mass
fermicoupling Fermi coupling constant
G Newtonian constant of gravitation
g_d deuteron g factor
g_e electron g factor
g_h helion g factor
g_mu muon g factor
g_n neutron g factor
g_p proton g factor
g_t triton g factor
hartree Hartree energy
helionmass helion mass in u
muonmass muon mass in u
neutronmass neutron mass in u
protonchargeradius proton rms charge radius
protonmass proton mass in u
silicon_d220 lattice spacing of ideal Si (220)
taumass tau mass in u
tritonmass triton mass in u
xunit_cu Copper x unit
xunit_mo Molybdenum x unit
# these GNU names are provisional
shielded_mu_h shielded helion mag. mom.
shielded_mu_p shielded proton mag. mom.
weakmixingangle weak mixing angle
w_to_z_mass_ratio W to Z mass ratio
# The *_SI pseudo-units are the numeric coefficient part of the named
# unit (i.e., the underlying quantity with the SI units stripped off).
# This is done to facilitate the support of non-SI unit systems within
# GNU units. All such units should be listed here, as a sanity check.
atomicmassunit_SI * atomicmassunit / (kg)
c_SI * c / (m / s)
e_SI * e / (C)
electronmass_SI * electronmass / (kg)
epsilon0_SI * epsilon0 / (F / m)
G_SI * G / (N m^2 / kg^2)
h_SI * h / (J / Hz)
hbar_SI * hbar / (J s)
k_SI * k / (J / K)
k_C_SI * k_C / (N m^2 / C^2)
mu0_SI * mu0 / (N / A^2)
# these seem too esoteric to add to GNU units
? helion shielding shift
? proton mag. shielding correction
? shielding difference of d and p in HD
? shielding difference of t and p in HT
# Primary-ish values - ones which should be exact due to definition
# chains, independent of CODATA updates.
#
# consequences of BIPM SI 2019:
atomiccharge atomic unit of charge
avogadro Avogadro constant
boltzmann Boltzmann constant
c natural unit of velocity
c speed of light in vacuum
e elementary charge
eV electron volt
eV electron volt-joule relationship
h Planck constant
K_cd luminous efficacy
nu_133Cs hyperfine transition frequency of Cs-133
100kPa standard-state pressure
#
# defined by various CGPM declarations:
atm standard atmosphere
gravity standard acceleration of gravity
K_J90 conventional value of Josephson constant
R_K90 conventional value of von Klitzing constant
# derived values - for completeness
#
# The values for these *should* automatically be in alignment, once
# the primary values are adjusted to match CODATA. If all of the
# primary values (above) match, then any remaining discrepancy here
# needs to be explained. ("It's just a rounding error" is likely
# to be the ultimate explanation for most discrepancies, but don't
# assume that going in.)
#
# Note: the odd looking stray "1" in some expressions is a mechanism
# to inform codata-check that what otherwise looks like a simple value
# is in fact a derived value (inside of definitons.units).
# This first group consists of quantities which actually possess
# "exact" precision, but the relevant coefficient cannot be expressed
# with a finite decimal representation. So we fudge and say these are
# "derived" and hence subject to round-off errors.
#
atomicaction 1 atomic unit of action
boltzmann 1 Boltzmann constant in eV/K
k / h Boltzmann constant in Hz/K
k / h c Boltzmann constant in inverse meter per kelvin
conductancequantum 1 conductance quantum
ampere90 1 conventional value of ampere-90
coulomb90 1 conventional value of coulomb-90
farad90 1 conventional value of farad-90
henry90 1 conventional value of henry-90
ohm90 1 conventional value of ohm-90
volt90 1 conventional value of volt-90
watt90 1 conventional value of watt-90
eV / h electron volt-hertz relationship
eV / h c electron volt-inverse meter relationship
eV / k electron volt-kelvin relationship
eV / c2 electron volt-kilogram relationship
e / hbar elementary charge over h-bar
faradayconst 1 Faraday constant
(2pi c)^2 hbar first radiation constant
2 h c^2 / sr first radiation constant for spectral radiance
Hz h hertz-electron volt relationship
Hz / c hertz-inverse meter relationship
Hz h hertz-joule relationship
Hz h / k hertz-kelvin relationship
Hz h / c2 hertz-kilogram relationship
(1/m) h c inverse meter-electron volt relationship
(1/m) c inverse meter-hertz relationship
(1/m) h c inverse meter-joule relationship
(1/m) h c / k inverse meter-kelvin relationship
(1/m) h / c inverse meter-kilogram relationship
1 / conductancequantum inverse of conductance quantum
K_J 1 Josephson constant
J 1 joule-electron volt relationship
J / h joule-hertz relationship
J / h c joule-inverse meter relationship
J / k joule-kelvin relationship
J / c2 joule-kilogram relationship
K k kelvin-electron volt relationship
K k / h kelvin-hertz relationship
K k / h c kelvin-inverse meter relationship
K k kelvin-joule relationship
K k / c2 kelvin-kilogram relationship
kg c2 kilogram-electron volt relationship
kg c2 / h kilogram-hertz relationship
kg c2 / h c kilogram-inverse meter relationship
kg c2 kilogram-joule relationship
kg c2 / k kilogram-kelvin relationship
loschmidt 1 Loschmidt constant (273.15 K, 101.325 kPa)
loschmidt 100kPa/atm Loschmidt constant (273.15 K, 100 kPa)
magneticfluxquantum 1 mag. flux quantum
gasconstant 1 molar gas constant
h N_A molar Planck constant
molarvolume 1 molar volume of ideal gas (273.15 K, 101.325 kPa)
molarvolume atm/100kPa molar volume of ideal gas (273.15 K, 100 kPa)
natural_action 1 natural unit of action
natural_action 1 natural unit of action in eV s
h 1 Planck constant in eV/Hz
hbar 1 reduced Planck constant
hbar 1 reduced Planck constant in eV s
hbar c reduced Planck constant times c in MeV fm
h c / k second radiation constant
stefanboltzmann 1 Stefan-Boltzmann constant
R_K 1 von Klitzing constant
wienfrequencydisplacement 1 Wien frequency displacement law constant
wiendisplacement 1 Wien wavelength displacement law constant
# The rest of these are expected to be subject to measurement errors
#
alphaparticlemass / electronmass alpha particle-electron mass ratio
alphaparticlemass 1 alpha particle mass
alphaparticlemass c2 alpha particle mass energy equivalent
alphaparticlemass c2 alpha particle mass energy equivalent in MeV
alphaparticlemass N_A alpha particle molar mass
alphaparticlemass / protonmass alpha particle-proton mass ratio
alphaparticlemass / u alpha particle relative atomic mass
u c2 atomic mass constant energy equivalent
u c2 atomic mass constant energy equivalent in MeV
u c2 atomic mass unit-electron volt relationship
u c2 atomic mass unit-hartree relationship
u c2 / h atomic mass unit-hertz relationship
u c / h atomic mass unit-inverse meter relationship
u c2 atomic mass unit-joule relationship
u c2 / k atomic mass unit-kelvin relationship
u 1 atomic mass unit-kilogram relationship
atomiccharge / atomiclength^3 atomic unit of charge density
atomiccurrent 1 atomic unit of current
atomicdipolemoment 1 atomic unit of electric dipole mom.
atomicEfield 1 atomic unit of electric field
atomicEfield / atomiclength atomic unit of electric field gradient
atomicdipolemoment / atomicEfield atomic unit of electric polarizability
atomicpotential 1 atomic unit of electric potential
atomicdipolemoment atomiclength atomic unit of electric quadrupole mom.
atomicdipolemoment / atomicEfield^2 atomic unit of 1st hyperpolarizability
atomicdipolemoment / atomicEfield^3 atomic unit of 2nd hyperpolarizability
atomicenergy 1 atomic unit of energy
atomicforce 1 atomic unit of force
atomiclength 1 atomic unit of length
atomicenergy / atomicBfield atomic unit of mag. dipole mom.
atomicBfield 1 atomic unit of mag. flux density
atomicdipolemoment^2 / atomicmass atomic unit of magnetizability
atomicmass 1 atomic unit of mass
atomicmomentum 1 atomic unit of momentum
atomiccharge / atomicpotential atomiclength atomic unit of permittivity
atomictime 1 atomic unit of time
atomicvelocity 1 atomic unit of velocity
mu_B 1 Bohr magneton
mu_B 1 Bohr magneton in eV/T
mu_B / h Bohr magneton in Hz/T
mu_B / h c Bohr magneton in inverse meter per tesla
mu_B / k Bohr magneton in K/T
bohrradius 1 Bohr radius
Z0 1 characteristic impedance of vacuum
electronradius 1 classical electron radius
electronwavelength 1 Compton wavelength
mu_d / mu_e deuteron-electron mag. mom. ratio
m_d / m_e deuteron-electron mass ratio
mu_d 1 deuteron mag. mom.
mu_d / mu_B deuteron mag. mom. to Bohr magneton ratio
mu_d / mu_N deuteron mag. mom. to nuclear magneton ratio
m_d 1 deuteron mass
m_d c2 deuteron mass energy equivalent
m_d c2 deuteron mass energy equivalent in MeV
m_d N_A deuteron molar mass
mu_d / mu_n deuteron-neutron mag. mom. ratio
mu_d / mu_p deuteron-proton mag. mom. ratio
m_d / m_p deuteron-proton mass ratio
m_d / u deuteron relative atomic mass
-e / m_e electron charge to mass quotient
mu_e / mu_d electron-deuteron mag. mom. ratio
m_e / m_d electron-deuteron mass ratio
-2 mu_e / hbar electron gyromag. ratio
-2 mu_e / h electron gyromag. ratio in MHz/T
m_e / m_h electron-helion mass ratio
mu_e 1 electron mag. mom.
-g_e/2 - 1 electron mag. mom. anomaly
mu_e / mu_B electron mag. mom. to Bohr magneton ratio
mu_e / mu_N electron mag. mom. to nuclear magneton ratio
m_e 1 electron mass
m_e c2 electron mass energy equivalent
m_e c2 electron mass energy equivalent in MeV
m_e N_A electron molar mass
mu_e / mu_mu electron-muon mag. mom. ratio
m_e / m_mu electron-muon mass ratio
mu_e / mu_n electron-neutron mag. mom. ratio
m_e / m_n electron-neutron mass ratio
mu_e / mu_p electron-proton mag. mom. ratio
m_e / m_p electron-proton mass ratio
m_e / m_tau electron-tau mass ratio
eV / c2 electron volt-atomic mass unit relationship
m_e / m_alpha electron to alpha particle mass ratio
mu_e / shielded_mu_h electron to shielded helion mag. mom. ratio
mu_e / shielded_mu_p electron to shielded proton mag. mom. ratio
m_e / m_t electron-triton mass ratio
eV 1 electron volt-hartree relationship
E_h / c2 hartree-atomic mass unit relationship
E_h 1 hartree-electron volt relationship
E_h 1 Hartree energy in eV
E_h / h hartree-hertz relationship
E_h / h c hartree-inverse meter relationship
E_h 1 hartree-joule relationship
E_h / k hartree-kelvin relationship
E_h / c2 hartree-kilogram relationship
m_h / m_e helion-electron mass ratio
mu_h 1 helion mag. mom.
mu_h / mu_B helion mag. mom. to Bohr magneton ratio
mu_h / mu_N helion mag. mom. to nuclear magneton ratio
m_h 1 helion mass
m_h c2 helion mass energy equivalent
m_h c2 helion mass energy equivalent in MeV
m_h N_A helion molar mass
m_h / m_p helion-proton mass ratio
m_h / u helion relative atomic mass
Hz h / c2 hertz-atomic mass unit relationship
Hz h hertz-hartree relationship
1 / alpha inverse fine-structure constant
(1/m) h / c inverse meter-atomic mass unit relationship
(1/m) h c inverse meter-hartree relationship
J / c2 joule-atomic mass unit relationship
J 1 joule-hartree relationship
K k / c2 kelvin-atomic mass unit relationship
K k kelvin-hartree relationship
kg 1 kilogram-atomic mass unit relationship
kg c2 kilogram-hartree relationship
siliconlattice 1 lattice parameter of silicon
molarmassconstant 1 molar mass constant
12 molarmassconstant molar mass of carbon-12
molarvolume_si 1 molar volume of silicon
muonwavelength 1 muon Compton wavelength
m_mu / m_e muon-electron mass ratio
mu_mu 1 muon mag. mom.
-g_mu/2 - 1 muon mag. mom. anomaly
mu_mu / mu_B muon mag. mom. to Bohr magneton ratio
mu_mu / mu_N muon mag. mom. to nuclear magneton ratio
m_mu 1 muon mass
m_mu c2 muon mass energy equivalent
m_mu c2 muon mass energy equivalent in MeV
m_mu N_A muon molar mass
m_mu / m_n muon-neutron mass ratio
mu_mu / mu_p muon-proton mag. mom. ratio
m_mu / m_p muon-proton mass ratio
m_mu / m_tau muon-tau mass ratio
natural_energy 1 natural unit of energy
natural_energy 1 natural unit of energy in MeV
natural_length 1 natural unit of length
natural_mass 1 natural unit of mass
natural_momentum 1 natural unit of momentum
natural_momentum 1 natural unit of momentum in MeV/c
natural_time 1 natural unit of time
neutronwavelength 1 neutron Compton wavelength
mu_n / mu_e neutron-electron mag. mom. ratio
m_n / m_e neutron-electron mass ratio
-2 mu_n / hbar neutron gyromag. ratio
-2 mu_n / h neutron gyromag. ratio in MHz/T
mu_n 1 neutron mag. mom.
mu_n / mu_B neutron mag. mom. to Bohr magneton ratio
mu_n / mu_N neutron mag. mom. to nuclear magneton ratio
m_n 1 neutron mass
m_n c2 neutron mass energy equivalent
m_n c2 neutron mass energy equivalent in MeV
m_n N_A neutron molar mass
m_n / m_mu neutron-muon mass ratio
mu_n / mu_p neutron-proton mag. mom. ratio
(m_n-m_p) neutron-proton mass difference
(m_n-m_p) c2 neutron-proton mass difference energy equivalent
(m_n-m_p) c2 neutron-proton mass difference energy equivalent in MeV
(m_n-m_p) neutron-proton mass difference in u
m_n / m_p neutron-proton mass ratio
m_n / u neutron relative atomic mass
m_n / m_tau neutron-tau mass ratio
mu_n / shielded_mu_p neutron to shielded proton mag. mom. ratio
G / hbar c Newtonian constant of gravitation over h-bar c
mu_N 1 nuclear magneton
mu_N 1 nuclear magneton in eV/T
mu_N / h c nuclear magneton in inverse meter per tesla
mu_N / k nuclear magneton in K/T
mu_N / h nuclear magneton in MHz/T
plancklength 1 Planck length
planckmass 1 Planck mass
planckmass c2 Planck mass energy equivalent in GeV
plancktemperature 1 Planck temperature
plancktime 1 Planck time
e / m_p proton charge to mass quotient
protonwavelength 1 proton Compton wavelength
m_p / m_e proton-electron mass ratio
2 mu_p / hbar proton gyromag. ratio
2 mu_p / h proton gyromag. ratio in MHz/T
mu_p 1 proton mag. mom.
mu_p / mu_B proton mag. mom. to Bohr magneton ratio
mu_p / mu_N proton mag. mom. to nuclear magneton ratio
m_p 1 proton mass
m_p c2 proton mass energy equivalent
m_p c2 proton mass energy equivalent in MeV
m_p N_A proton molar mass
m_p / m_mu proton-muon mass ratio
mu_p / mu_n proton-neutron mag. mom. ratio
m_p / m_n proton-neutron mass ratio
m_p / u proton relative atomic mass
m_p / m_tau proton-tau mass ratio
circulationquantum 1 quantum of circulation
circulationquantum 2 quantum of circulation times 2
hbar / c m_e reduced Compton wavelength
hbar / c m_mu reduced muon Compton wavelength
hbar / c m_n reduced neutron Compton wavelength
hbar / c m_p reduced proton Compton wavelength
hbar / c m_tau reduced tau Compton wavelength
Rinfinity 1 Rydberg constant
Rinfinity c Rydberg constant times c in Hz
Rinfinity h c Rydberg constant times hc in eV
Rinfinity h c Rydberg constant times hc in J
sackurtetrodeconstant 1 Sackur-Tetrode constant (1 K, 101.325 kPa)
sackurtetrodeconstant + ln(atm/100kPa) Sackur-Tetrode constant (1 K, 100 kPa)
2 shielded_mu_h / hbar shielded helion gyromag. ratio
2 shielded_mu_h / h shielded helion gyromag. ratio in MHz/T
shielded_mu_h / mu_B shielded helion mag. mom. to Bohr magneton ratio
shielded_mu_h / mu_N shielded helion mag. mom. to nuclear magneton ratio
shielded_mu_h / mu_p shielded helion to proton mag. mom. ratio
shielded_mu_h / shielded_mu_p shielded helion to shielded proton mag. mom. ratio
2 shielded_mu_p / hbar shielded proton gyromag. ratio
2 shielded_mu_p / h shielded proton gyromag. ratio in MHz/T
shielded_mu_p / mu_B shielded proton mag. mom. to Bohr magneton ratio
shielded_mu_p / mu_N shielded proton mag. mom. to nuclear magneton ratio
tauwavelength 1 tau Compton wavelength
m_tau / m_e tau-electron mass ratio
m_tau c2 tau energy equivalent
m_tau c2 tau mass energy equivalent
m_tau 1 tau mass
m_tau N_A tau molar mass
m_tau / m_mu tau-muon mass ratio
m_tau / m_n tau-neutron mass ratio
m_tau / m_p tau-proton mass ratio
thomsoncrosssection 1 Thomson cross section
m_t / m_e triton-electron mass ratio
mu_t 1 triton mag. mom.
mu_t / mu_B triton mag. mom. to Bohr magneton ratio
mu_t / mu_N triton mag. mom. to nuclear magneton ratio
m_t 1 triton mass
m_t c2 triton mass energy equivalent
m_t c2 triton mass energy equivalent in MeV
m_t N_A triton molar mass
m_t / m_p triton-proton mass ratio
m_t / u triton relative atomic mass
mu_t / mu_p triton to proton mag. mom. ratio
u 1 unified atomic mass unit
epsilon0 1 vacuum electric permittivity
mu0 1 vacuum mag. permeability
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