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SI Derived Units

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SI derived unit

From Wikipedia, the free encyclopedia.

SI derived units are part of the SI system of measurement units and are derived from the seven SI base units.

Physical quantity Name of SI unit Symbol for SI unit Expression in terms of SI base units
Special names and Symbols
frequency hertz Hz s - 1  
force newton N \mbox{kg} \cdot \mbox{m} \cdot \mbox{s}^{-2}  
pressure, stress pascal Pa \mbox{N} \cdot \mbox{m}^{-2} = \mbox{kg} \cdot \mbox{m}^{-1} \cdot \mbox{s}^{-2}
energy, work, heat joule J \mbox{N} \cdot \mbox{m} = \mbox{kg} \cdot \mbox{m}^2 \cdot \mbox{s}^{-2}
power, radiant flux watt W \mbox{J} \cdot \mbox{s}^{-1} = \mbox{kg} \cdot \mbox{m}^2 \cdot \mbox{s}^{-3}
electric charge coulomb C \mbox{A} \cdot \mbox{s}  
electric potential, electromotive force volt V \mbox{J} \cdot \mbox{C}^{-1} = \mbox{m}^2 \cdot \mbox{kg} \cdot \mbox{s}^{-3} \cdot \mbox{A}^{-1}
electrical resistance ohm Ω \mbox{V} \cdot \mbox{A}^{-1} = \mbox{m}^2 \cdot \mbox{kg} \cdot \mbox{s}^{-3} \cdot \mbox{A}^{-2}
electric conductance siemens S \mbox{A} \cdot \mbox{V}^{-1} = \mbox{s}^3 \cdot \mbox{A}^2 \cdot \mbox{m}^{-2} \cdot \mbox{kg}^{-1}
electric capacitance farad F CV - 1 = \mbox{s}^4 \cdot \mbox{A}^2 \cdot \mbox{m}^{-2} \cdot \mbox{kg}^{-1}
magnetic flux density, magnetic inductivity tesla T \mbox{V} \cdot \mbox{s} \cdot \mbox{m}^{-2} = \mbox{kg} \cdot \mbox{s}^{-2} \cdot \mbox{A}^{-1}
magnetic flux weber Wb \mbox{V}\cdot\mbox{s} = \mbox{m}^2 \cdot \mbox{kg} \cdot \mbox{s}^{-2} \cdot \mbox{A}^{-1}
inductance henry H \mbox{V} \mbox{s} \cdot \mbox{A}^{-1} = \mbox{m}^2 \cdot \mbox{kg} \cdot \mbox{s}^{-2} \cdot \mbox{A}^{-2}
temperature degree Celsius K  
plane angle radian rad 1 = m搶-1
solid angle steradian sr 1 = m2-2
luminous flux lumen lm cd新r  
illuminance lux lx cd新r搶-2  
activity (radioactive) becquerel Bq s-1  
absorbed dose (of radiation) gray Gy J搔g-1 = m2-2
dose equivalent (dose equivalent index) sievert Sv J搔g-1 = m2-2
catalytic activity katal kat mol新-1  
Other Quantities
area     m2  
volume     m3  
speed, velocity     m新-1  
angular velocity     s-1, rad新-1  
acceleration     m新-2  
moment of force     N搶 = m2搔g新-2
wavenumber     m-1  
density, mass density     kg搶-3  
specific volume     m3搔g-1  
amount (-of-substance) concentration     mol搶-3  
molar volume     m3搶ol-1  
heat capacity, entropy     J徬-1 = m2搔g新-2-1
molar heat capacity, molar entropy     J徬-1搶ol-1 = m2搔g新-2-1搶ol-1
specific heat capacity, specific entropy     J徬-1搔g-1 = m2-2-1
molar energy     J搶ol-1 = m2搔g新-2搶ol-1
specific energy     J搔g-1 = m2-2
energy density     J搶-3 = m-1搔g新-2
surface tension     N搶-1=J搶-2 = kg新-2
heat flux density, irradiance     W搶-2 = kg新-3
thermal conductivity     W搶-1-1 = m搔g新-3-1
kinematic viscosity, diffusion coefficient     m2-1  
dynamic viscosity     N新搶-2 = Pa新 = m-1搔g新-1
electric charge density     C搶-3 m-3新嫂
electric current density     A搶-2  
conductivity     S搶-1 = m-3搔g-13 2
molar conductivity     S搶2搶ol-1 = kg-1搶ol-13 2
permittivity     F搶-1 = m-3搔g-14 2;
permeability     H搶-1 = m搔g新-2-2
electric field strength     V搶-1 = m搔g新-3-1
magnetic field strength     A搶-1  
luminance     cd搶-2  
exposure (X and gamma rays)     C搔g-1 = kg-1新嫂
absorbed dose rate     Gy新-1 = m2-3


  • 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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