List of international units

This list of international units is subsidiary to the list of units article and lists widely used modern units in a form of sortable table.

Unit system Domain Derivation Unit name Unit symbol Dimension symbol Quantity name Definition In SI base units In other SI units
SI Physics Basic second
[n 1]
s T time The duration of 9192631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom. s
SI Physics Basic metre m L length The distance travelled by light in vacuum in 1/299792458 second. m
SI Physics Basic kilogram
[n 2]
kg M mass The kilogram is defined by setting the Planck constant h exactly to 6.62607015×10−34 J⋅s (J = kg⋅m2⋅s−2), given the definitions of the metre and the second.[1] kg
SI Physics Basic ampere A I electric current The flow of exactly 1/1.602176634×10−19 times the elementary charge e per second. Equalling approximately 6.2415090744×1018 elementary charges per second. A
SI Physics Basic kelvin K Θ thermodynamic
temperature
The kelvin is defined by setting the fixed numerical value of the Boltzmann constant k to 1.380649×10−23 J⋅K−1, (J = kg⋅m2⋅s−2), given the definition of the kilogram, the metre, and the second. K
SI Physics Basic mole mol N amount of
substance
The amount of substance of exactly 6.02214076×1023 elementary entities.[n 3] This number is the fixed numerical value of the Avogadro constant, NA, when expressed in the unit mol−1. mol
SI Physics Basic candela cd J luminous
intensity
The luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 5.4×1014 hertz and that has a radiant intensity in that direction of 1/683 watt per steradian. cd
SI Physics Relational radian[n 4] rad plane angle m/m 1
SI Physics Relational steradian sr solid angle m2/m2 1
SI Physics Relational hertz Hz frequency s−1
SI Physics Relational newton N force kg⋅m⋅s−2
SI Physics Relational pascal Pa pressure kg⋅m−1⋅s−2 N/m2
SI Physics Relational joule J energy, work, heat kg⋅m2⋅s−2 N⋅m = Pa⋅m3
SI Physics Relational watt W power, radiant flux kg⋅m2⋅s−3 J/s
SI Physics Relational coulomb C electric charge s⋅A
SI Physics Relational volt V electrical potential difference (voltage), emf kg⋅m2⋅s−3⋅A−1 W/A = J/C
SI Physics Relational farad F capacitance kg−1⋅m−2⋅s4⋅A2 C/V
SI Physics Relational ohm Ω resistance, impedance, reactance kg⋅m2⋅s−3⋅A−2 V/A
SI Physics Relational siemens S electrical conductance kg−1⋅m−2⋅s3⋅A2 Ω−1
SI Physics Relational weber Wb magnetic flux kg⋅m2⋅s−2⋅A−1 V⋅s
SI Physics Relational tesla T magnetic flux density kg⋅s−2⋅A−1 Wb/m2
SI Physics Relational henry H inductance kg⋅m2⋅s−2⋅A−2 Wb/A
SI Physics Relational degree Celsius °C temperature relative to 273.15 K K
SI Physics Relational lumen lm luminous flux cd⋅sr
SI Physics Relational lux lx illuminance cd⋅sr⋅m−2 lm/m2
SI Physics Relational becquerel Bq radioactivity (decays per unit time) s−1
SI Physics Relational gray Gy absorbed dose (of ionising radiation) m2⋅s−2 J/kg
SI Physics Relational sievert Sv equivalent dose (of ionising radiation) m2⋅s−2 J/kg
SI Physics Relational katal kat catalytic activity mol⋅s−1
SI Physics Dimensional square metre m2 A area
SI Physics Dimensional cubic metre m3 V volume
SI Physics Relational metre per second m/s v speed, velocity
SI Physics Relational metre per second squared m/s2 a acceleration
SI Physics Relational reciprocal metre m−1 σ, or in optics V, 1/f wavenumber, vergence (optics)
SI Physics Relational kilogram per cubic metre kg/m3 ρ density
SI Physics Relational kilogram per square metre m−1 ρA surface density
SI Physics Relational cubic metre per kilogram m3/kg v specific volume
SI Physics Relational ampere per square metre A/m2 j current density
SI Physics Relational ampere per metre A/m H magnetic field strength
SI Physics Relational mole per cubic metre mol/m3 c concentration
SI Physics Relational kilogram per cubic metre kg/m3 ρ, γ mass concentration
SI Physics Relational candela per square metre cd/m2 Lv luminance
? Economics Relational velocity of money
? Economics Relational gross margin

Notes

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  1. ^ Within the context of the SI, the second is the coherent base unit of time, and is used in the definitions of derived units. The name "second" historically arose as being the 2nd-level sexagesimal division (1602) of some quantity, the hour in this case, which the SI classifies as an "accepted" unit along with its first-level sexagesimal division the minute.
  2. ^ Despite the prefix "kilo-", the kilogram is the coherent base unit of mass, and is used in the definitions of derived units. Nonetheless, prefixes for the unit of mass are determined as if the gram were the base unit.
  3. ^ When the mole is used, the elementary entities must be specified and may be atoms, molecules, ions, electrons, other particles, or specified groups of such particles.
  4. ^ The radian and steradian are defined as dimensionless derived units.
  1. ^ Materese, Robin (16 November 2018). "Historic Vote Ties Kilogram and Other Units to Natural Constants". NIST. Retrieved 16 November 2018.