SI derived units

Derived units are products of powers of base units.

SI coherent derived units with special names

Coherent derived units are products of powers of base units that include no numerical factor other than 1. The base units and coherent derived units of the SI form a coherent set, designated the set of coherent SI units.

Name	Symbol	Quantity	Expressed in terms of SI base units		Expressed in terms of other SI units
hertz	Hz	frequency	s−1		1/s
radian	rad	angle	1		m/m
steradian	sr	solid angle	1		m2/m2
newton	N	force	kg m s−2
pascal	Pa	pressure, stress	kg m−1 s−2		N/m2
joule	J	energy, work, heat	kg m2 s−2		N m C V W s
watt	W	power, radiant flux	kg m2 s−3		J/s V A
coulomb	C	electric charge	s A		F V
volt	V	electric potential difference, electromotive force	kg m2 s−3 A−1		W/A J/C
farad	F	electric capacitance	kg−1 m−2 s4 A2		C/V s/Ω
ohm	Ω	electric resistance, impedance, reactance	kg m2 s−3 A−2		1/S V/A
siemens	S	electric conductance	kg−1 m−2 s3 A2		1/Ω A/V
weber	Wb	magnetic flux	kg m2 s−2 A−1		V s J/A
tesla	T	magnetic flux density, magnetic field strength	kg s−2 A−1		Wb/m2
henry	H	inductance	kg m2 s−2 A−2		Wb/A
degree Celsius	°C	Celsius temperature	K
lumen	lm	luminous flux	cd		cd sr
lux	lx	illuminance	m−2 cd		lm/m2
becquerel	Bq	activity referred to a radionuclide	s−1		1/s
gray	Gy	absorbed dose (of ionizing radiation), specific energy (imparted), kerma	m2 s−2		J/kg
sievert	Sv	dose equivalent (of ionizing radiation)	m2 s−2		J/kg
katal	kat	catalytic activity	s−1 mol

Examples of SI coherent derived units without special names and symbols

Name	Symbol	Quantity
square metre	m2	area
cubic metre	m3	volume
metre per second	m s-1	speed, velocity
metre per second squared	m s-2	acceleration
reciprocal metre	m−1	wavenumber
kilogram per cubic metre	kg m-3	density, mass density
kilogram per square metre	kg m-2	surface density
cubic metre per kilogram	m3 kg-1	specific volume
ampere per square metre	m2 A	current density
ampere per metre	m-1 A	magnetic field strength
mole per cubic metre	m-3 mol	amount concentration, concentration
kilogram per cubic metre	kg m-3	mass concentration
candela per square metre	m-2 cd	luminance

Examples of SI coherent derived units whose names and symbols include SI coherent derived units with special names and symbols

Name	Symbol	Quantity	Expressed in terms of SI base units
pascal second	Pa s	dynamic viscosity	kg m-1 s-1
newton metre	N m	moment of force	kg m2 s-2
newton per metre	N/m	surface tension	kg s-2
radian per second	rad/s	angular velocity	s-1
radian per second squared	rad/s2	angular acceleration	s-2
watt per square metre	W/m2	heat flux density, irradiance	kg s-3
joule per kelvin	J/K	heat capacity, entropy	kg m2 s-2 K-1
joule per kilogram kelvin	J/(kg K)	specific heat capacity, specific entropy	m2 s-2 K-1
joule per kilogram	J/kg	specific energy	m2 s-2
watt per metre kelvin	W/(m K)	thermal conductivity	kg m s-3 K-1
joule per cubic metre	J/m3	energy density	kg m-1 s-2
volt per metre	V/m	electric field strength	kg m s-3 A-1
coulomb per cubic metre	C/m3	electric charge density	m-3 s A
coulomb per square metre	C/m2	surface charge density, electric flux density, electric displacement	m-2 s A
farad per metre	F/m	permittivity	kg-1 m-3 s4 A2
henry per metre	H/m	permeability	kg m s-2 A-2
joule per mole	J/mol	molar energy	kg m2 s-2 mol-1
joule per mole kelvin	J/(mol K)	molar entropy, molar heat capacity	kg m2 s-2 K-1 mol-1
coulomb per kilogram	C/kg	exposure (x- and γ-rays)	kg-1 s A
gray per second	Gy/s	absorbed dose rate	m2 s-3
watt per steradian	W/sr	radiant intensity	kg m2 s-3
watt per square metre steradian	W/(m2 sr)	radiance	kg s-3
katal per cubic metre	kat/m3	catalytic activity	m-3 s-1 mol