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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
Special names and Symbols
frequency hertz Hz s - 1  
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  

Other quantities and units

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  
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
acceleration metre per second squared m · s-2  
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)
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