SI derived unit
SI derived units are part of the SI system of measurement units and are derived from the seven SI base units.
Units with Special names and Symbols
| Physical quantity | Name of SI unit | Symbol for SI unit | Expression in terms of other units | Expression in terms of SI base units | |
|---|---|---|---|---|---|
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| frequency | hertz | Hz | |||
| force | newton | N | |||
| pressure, stress | pascal | Pa | |||
| energy, work, heat | joule | J | |||
| power, radiant flux | watt | W | |||
| electric charge | coulomb | C | |||
| electric potential, electromotive force | volt | V | |||
| electrical resistance, impedance, reactance | ohm | Ω | |||
| electric conductance | siemens | S | |||
| electric capacitance | farad | F | C · V-1 | ||
| magnetic flux density, magnetic inductivity | tesla | T | |||
| magnetic flux | weber | Wb | |||
| inductance | henry | H | |||
| temperature | degree Celsius | °C | K | ||
| plane angle | radian | rad | 1 | = m · m-1 | |
| solid angle | steradian | sr | 1 | = m2 · m-2 | |
| luminous flux | lumen | lm | cd · sr | ||
| illuminance | lux | lx | cd · sr · m-2 | ||
| activity (radioactive) | becquerel | Bq | s-1 | ||
| absorbed dose (of radiation) | gray | Gy | J · kg-1 | = m2 · s-2 | |
| dose equivalent (dose equivalent index) | sievert | Sv | J · kg-1 | = m2 · s-2 | |
| catalytic activity | katal | kat | mol · s-1 | ||
| Physical quantity | Name of SI unit | Symbol for SI unit | Expression in terms of SI base units |
|---|---|---|---|
| area | square metre | m2 | |
| volume | cubic metre | m3 | |
| speed, velocity | metre per second | m · s-1 | |
| acceleration | metre per second squared | m · s-2 | |
| angular velocity | radian per second | rad · s-1 | = s-1 |
| momentum | kilogram metre per second | kg · m · s-1 | |
| angular momentum | kilogram radian per second | kg · rad · s-1 | = kg · s-1 |
| moment of force | newton metre | N · m | = m2 · kg · s-2 |
| wavenumber | reciprocal metre | m-1 | |
| density, mass density | kilogram per cubic metre | kg · m-3 | |
| specific volume | cubic metre per kilogram | m3 · kg-1 | |
| amount (-of-substance) concentration | mole per cubic metre | mol · m-3 | |
| molar volume | cubic metre per mole | m3 · mol-1 | |
| heat capacity, entropy | joule per kelvin | J · K-1 | = m2 · kg · s-2 · K-1 |
| molar heat capacity, molar entropy | joule per kelvin mole | J · K-1 · mol-1 | = m2 · kg · s-2 · K-1 · mol-1 |
| specific heat capacity, specific entropy | joule per kilogram kelvin | J · K-1 · kg-1 | = m2 · s-2 · K-1 |
| molar energy | joule per mole | J · mol-1 | = m2 · kg · s-2 · mol-1 |
| specific energy | joule per kilogram | J · kg-1 | = m2 · s-2 |
| energy density | joule per cubic metre | J · m-3 | = m-1 · kg · s-2 |
| surface tension | newton per metre | N · m-1 = J · m-2 | = kg · s-2 |
| heat flux density, irradiance | watt per square metre | W · m-2 | = kg · s-3 |
| thermal conductivity | watt per metre kelvin | W · m-1 · K-1 | = m · kg · s-3 · K-1 |
| kinematic viscosity, diffusion coefficient | square metre per second | m2 · s-1 | |
| dynamic viscosity | pascal second | Pa · s = N · s · m-2 | = m-1 · kg · s-1 |
| electric charge density | coulomb per cubic metre | C · m-3 | m-3 · s · A |
| electric current density | ampere per square metre | A · m-2 | |
| conductivity | siemens per metre | S · m-1 | = m-3 · kg-1 · s3 · A 2 |
| molar conductivity | siemens square metre per mole | S · m2 · mol-1 | = kg-1 · mol-1 · s3 · A 2 |
| permittivity | farad per metre | F · m-1 | = m-3 · kg-1 · s4 · A 2 |
| permeability | henry per metre | H · m-1 | = m · kg · s-2 · A-2 |
| electric field strength | volt per metre | V · m-1 | = m · kg · s-3 · A-1 |
| magnetic field strength | ampere per metre | A · m-1 | |
| luminance | candela per square metre | cd · m-2 | |
| exposure (X and gamma rays) | coulomb per kilogram | C · kg-1 | = kg-1 · s · A |
| absorbed dose rate | gray per second | Gy · s-1 | = m2 · s-3 |
References:
- I. Mills, Tomislav Cvitas, Klaus Homann, Nikola Kallay, IUPAC: Quantities, Units and Symbols in Physical Chemistry, 2nd edition (June 1993), Blackwell Science Inc (p. 72)