;;; Measures, by François Cardarelli)
;;; All conversions are exact unless otherwise noted.
-;; CODATA values updated February 2016, using 2014 adjustment
-;; https://arxiv.org/pdf/1507.07956.pdf
-
;; Updated November 2018 for the redefinition of the SI
;; https://www.bipm.org/utils/en/pdf/CGPM/Draft-Resolution-A-EN.pdf
+;; CODATA values last updated November 2023, using 2018 adjustment:
+;; E. Tiesinga, P. J. Mohr, D. B. Newell, and B. N. Taylor,
+;; Rev. Mod. Phys. 93, 025010 (2021)
+
(defvar math-standard-units
'( ;; Length
( m nil "*Meter" )
( mph "mi/hr" "*Miles per hour" )
( kph "km/hr" "Kilometers per hour" )
( knot "nmi/hr" "Knot" )
- ( c "299792458 m/s" "Speed of light" ) ;; SI definition
;; Acceleration
( ga "980665*10^(-5) m/s^2" "*\"g\" acceleration" nil
"31.10347680 g") ;; ESUWM, 1/12 exact value for lbt
( ct "(2/10) g" "Carat" nil
"0.2 g") ;; ESUWM
- ( u "1.660539040*10^(-27) kg" "Unified atomic mass" nil
- "1.660539040 10^-27 kg (*)");;(approx) CODATA
+ ( u "1.66053906660*10^(-27) kg" "Unified atomic mass" nil
+ "1.66053906660 10^-27 kg (*)") ;; (approx) CODATA
;; Force
( N "m kg/s^2" "*Newton" )
( A nil "*Ampere" )
( C "A s" "Coulomb" )
( Fdy "ech Nav" "Faraday" )
- ( e "ech" "Elementary charge" )
- ( ech "1.602176634*10^(-19) C" "Elementary charge" nil
- "1.602176634 10^-19 C") ;; SI definition
( V "W/A" "Volt" )
( ohm "V/A" "Ohm" )
( Ω "ohm" "Ohm" )
;; Solid angle
( sr nil "*Steradian" )
+ ;; Constants defining the International System of Units (SI)
+ ( c "299792458 m/s" "*Speed of light" )
+ ( h "6.62607015*10^(-34) J s" "Planck constant" nil
+ "6.62607015 10^-34 J s")
+ ( ech "1.602176634*10^(-19) C" "Elementary charge" nil
+ "1.602176634 10^-19 C")
+ ( e "ech" "Elementary charge" nil
+ "1.602176634 10^-19 C")
+ ( k "1.380649*10^(-23) J/K" "Boltzmann constant" nil
+ "1.380649 10^-23 J/K")
+ ( Nav "6.02214076*10^(23) / mol" "Avogadro constant" nil
+ "6.02214076 10^23 / mol")
+
;; Other physical quantities
;; Unless otherwise mentioned, the values are from CODATA,
;; and are approximate.
- ( h "6.62607015*10^(-34) J s" "*Planck's constant" nil
- "6.62607015 10^-34 J s") ;; SI definition
- ( hbar "h / (2 pi)" "Planck's constant" ) ;; Exact
+ ( hbar "h / (2 pi)" "*Reduced Planck constant" )
;; After the 2018 SI redefinition, eps0 and mu0 are measured quantities,
;; and mu0 no longer has the previous exact value of 4 pi 10^(-7) H/m.
( eps0 "ech^2 / (2 alpha h c)" "Permittivity of vacuum" )
( ε0 "eps0" "Permittivity of vacuum" )
( mu0 "1 / (eps0 c^2)" "Permeability of vacuum")
( μ0 "mu0" "Permeability of vacuum")
- ( G "6.67408*10^(-11) m^3/(kg s^2)" "Gravitational constant" nil
- "6.67408 10^-11 m^3/(kg s^2) (*)")
- ( Nav "6.02214076*10^(23) / mol" "Avogadro's constant" nil
- "6.02214076 10^23 / mol") ;; SI definition
- ( me "9.10938356*10^(-31) kg" "Electron rest mass" nil
- "9.10938356 10^-31 kg (*)")
- ( mp "1.672621898*10^(-27) kg" "Proton rest mass" nil
- "1.672621898 10^-27 kg (*)")
- ( mn "1.674927471*10^(-27) kg" "Neutron rest mass" nil
- "1.674927471 10^-27 kg (*)")
- ( mmu "1.883531594*10^(-28) kg" "Muon rest mass" nil
- "1.883531594 10^-28 kg (*)")
+ ( G "6.67430*10^(-11) m^3/(kg s^2)" "Gravitational constant" nil
+ "6.67430 10^-11 m^3/(kg s^2) (*)")
+ ( me "9.1093837015*10^(-31) kg" "Electron rest mass" nil
+ "9.1093837015 10^-31 kg (*)")
+ ( mp "1.67262192369*10^(-27) kg" "Proton rest mass" nil
+ "1.67262192369 10^-27 kg (*)")
+ ( mn "1.67492749804*10^(-27) kg" "Neutron rest mass" nil
+ "1.67492749804 10^-27 kg (*)")
+ ( mmu "1.883531627*10^(-28) kg" "Muon rest mass" nil
+ "1.883531627 10^-28 kg (*)")
( mμ "mmu" "Muon rest mass" nil
- "1.883531594 10^-28 kg (*)")
- ( Ryd "10973731.568508 /m" "Rydberg's constant" nil
- "10973731.568508 /m (*)")
- ( k "1.380649*10^(-23) J/K" "Boltzmann's constant" nil
- "1.380649 10^-23 J/K") ;; SI definition
+ "1.883531627 10^-28 kg (*)")
+ ( Ryd "10973731.568160 /m" "Rydberg constant" nil
+ "10973731.568160 /m (*)")
( sigma "2 pi^5 k^4 / (15 h^3 c^2)" "Stefan-Boltzmann constant")
( σ "sigma" "Stefan-Boltzmann constant")
- ( alpha "7.2973525664*10^(-3)" "Fine structure constant" nil
- "7.2973525664 10^-3 (*)")
- ( α "alpha" "Fine structure constant" nil
- "7.2973525664 10^-3 (*)")
- ( muB "927.4009994*10^(-26) J/T" "Bohr magneton" nil
- "927.4009994 10^-26 J/T (*)")
- ( muN "5.050783699*10^(-27) J/T" "Nuclear magneton" nil
- "5.050783699 10^-27 J/T (*)")
- ( mue "-928.4764620*10^(-26) J/T" "Electron magnetic moment" nil
- "-928.4764620 10^-26 J/T (*)")
- ( mup "1.4106067873*10^(-26) J/T" "Proton magnetic moment" nil
- "1.4106067873 10^-26 J/T (*)")
- ( R0 "Nav k" "Molar gas constant") ;; Exact
- ( V0 "22.710947*10^(-3) m^3/mol" "Standard volume of ideal gas" nil
- "22.710947 10^-3 m^3/mol (*)")
+ ( alpha "7.2973525693*10^(-3)" "Fine structure constant" nil
+ "7.2973525693 10^-3 (*)")
+ ( α "alpha" "Fine structure constant" nil
+ "7.2973525693 10^-3 (*)")
+ ( muB "9.2740100783*10^(-24) J/T" "Bohr magneton" nil
+ "9.2740100783 10^-24 J/T (*)")
+ ( muN "5.0507837461*10^(-27) J/T" "Nuclear magneton" nil
+ "5.0507837461 10^-27 J/T (*)")
+ ( mue "−9.2847647043*10^(-24) J/T" "Electron magnetic moment" nil
+ "-9.2847647043 10^-24 J/T (*)")
+ ( mup "1.41060679736*10^(-26) J/T" "Proton magnetic moment" nil
+ "1.41060679736 10^-26 J/T (*)")
+ ( R0 "Nav k" "Molar gas constant" )
+ ( V0 "R0 273.15 K / 10^5 Pa" "Standard volume of ideal gas" )
+ ;; IUPAC 1982 standard temperature and pressure
+
;; Logarithmic units
( Np nil "*Neper")
( dB "(ln(10)/20) Np" "decibel"))