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SI Derived Units

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SI derived unit

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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	°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
area			m²
volume			m³
speed, velocity			m·s^-1
angular velocity			s^-1, rad·s^-1
acceleration			m·s^-2
moment of force			N·m	= m²·kg·s^-2
wavenumber			m^-1
density, mass density			kg·m^-3
specific volume			m³·kg^-1
amount (-of-substance) concentration			mol·m^-3
molar volume			m³·mol^-1
heat capacity, entropy			J·K^-1	= m²·kg·s^-2·K^-1
molar heat capacity, molar entropy			J·K^-1·mol^-1	= m²·kg·s^-2·K^-1·mol^-1
specific heat capacity, specific entropy			J·K^-1·kg^-1	= m²·s^-2·K^-1
molar energy			J·mol^-1	= m²·kg·s^-2·mol^-1
specific energy			J·kg^-1	= m²·s^-2
energy density			J·m^-3	= m^-1·kg·s^-2
surface tension			N·m^-1=J·m^-2	= kg·s^-2
heat flux density, irradiance			W·m^-2	= kg·s^-3
thermal conductivity			W·m^-1·K^-1	= m·kg·s^-3·K^-1
kinematic viscosity, diffusion coefficient			m²·s^-1
dynamic viscosity			N·s·m^-2 = Pa·s	= m^-1·kg·s^-1
electric charge density			C·m^-3	m^-3·s·A
electric current density			A·m^-2
conductivity			S·m^-1	= m^-3·kg^-1·s³·A²
molar conductivity			S·m²·mol^-1	= kg^-1·mol^-1·s³·A²
permittivity			F·m^-1	= m^-3·kg^-1·s⁴·A²;
permeability			H·m^-1	= m·kg·s^-2·A^-2
electric field strength			V·m^-1	= m·kg·s^-3·A^-1
magnetic field strength			A·m^-1
luminance			cd·m^-2
exposure (X and gamma rays)			C·kg^-1	= kg^-1·s·A
absorbed dose rate			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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