List of physical quantities

This article consists of tables outlining a number of physical quantities.

The first table lists the fundamental quantities used in the International System of Units to define the physical dimension of physical quantities for dimensional analysis. The second table lists the derived physical quantities. Derived quantities can be expressed in terms of the base quantities.

Note that neither the names nor the symbols used for the physical quantities are international standards. Some quantities are known as several different names such as the magnetic B-field which is known as the magnetic flux density, the magnetic induction or simply as the magnetic field depending on the context. Similarly, surface tension can be denoted by either σ, γ or T. The table usually lists only one name and symbol that is most commonly used.

The final column lists some special properties that some of the quantities have, such as their scaling behavior (i.e. whether the quantity is intensive or extensive), their transformation properties (i.e. whether the quantity is a scalar, vector, matrix or tensor), and whether the quantity is conserved.

Fundamental

Fundamental quantities

Base quantity	Symbol	Description	SI base unit	Dimension	Comments
Length	l	The one-dimensional extent of an object	metre (m)	L	extensive
Mass	m	A measure of resistance to acceleration	kilogram (kg)	M	extensive, scalar
Time	t	The duration of an event	second (s)	T	scalar, intensive, extensive
Electric current	I	Rate of flow of electrical charge per unit time	ampere (A)	I	extensive, scalar
Temperature	T	Average kinetic energy per degree of freedom of a system	kelvin (K)	Θ	intensive, scalar
Amount of substance	n	The quantity proportional to the number of particles in a sample, with the Avogadro constant as the proportionality constant	mole (mol)	N	extensive, scalar
Luminous intensity	Iv	Wavelength-weighted power of emitted light per unit solid angle	candela (cd)	J	scalar

Scalar

Scalar quantities

Derived quantity	Symbol	Description	SI derived unit	Dimension	Comments
Absorbed dose rate	D	Absorbed dose received per unit of time	Gy/s	L2 T−3
Action	S	Momentum of particle multiplied by distance travelled	J/Hz	M L2 T−1
Angular acceleration	ωa	Change in angular velocity per unit time	rad/s2	T−2
Area	A	Extent of a surface	m2	L2	extensive, bivector or scalar
Area density	ρA	Mass per unit area	kg⋅m−2	M L−2	intensive
Capacitance	C	Stored charge per unit electric potential	farad (F = C/V)	M−1 L−2 T4 I2
Catalytic activity concentration		Change in reaction rate due to presence of a catalyst per unit volume of the system	kat⋅m−3	L−3 T−1 N	intensive
Chemical potential	μ	Energy per unit change in amount of substance	J/mol	M L2 T−2 N−1	intensive
Density (or volume density)	ρ	Mass per unit volume	kilograms per cubic meter (kg/m3)	M L−3	intensive
Dose equivalent	H	Received radiation adjusted for the effect on biological tissue	sievert (Sv = J/kg)	L2 T−2	intensive
Electric charge	Q	The force per unit electric field strength	coulomb (C = A⋅s)	T I	extensive, conserved
Electric charge density	ρQ	Electric charge per unit volume	C/m3	L−3 T I	intensive
Electrical conductance	G	Measure for how easily current flows through a material	siemens (S = Ω−1)	M−1 L−2 T3 I2
Electrical conductivity	σ	Measure of a material's ability to conduct an electric current	S/m	M−1 L−3 T3 I2
Electric potential	φ	Energy required to move a unit charge through an electric field from a reference point	volt (V = J/C)	M L2 T−3 I−1	extensive
Electrical resistance	R	Electric potential per unit electric current	ohm (Ω = V/A)	M L2 T−3 I−2	extensive, assumes linearity
Electrical resistivity	ρe	Bulk property equivalent of electrical resistance	ohm-metre (Ω⋅m)	M L3 T−3 I−2	extensive, conserved
Energy	E	Energy	joule (J)	M L2 T−2
Energy density	U	Energy per volume	J⋅m−3	M L−1 T−2	intensive
Entropy	S	Logarithmic measure of the number of available states of a system	J/K	M L2 T−2 Θ−1	extensive
Frequency	f	Number of (periodic) occurrences per unit time	hertz (Hz = s−1)	T−1
Half-life	t1/2	Time for a quantity to decay to half its initial value	s	T
Heat	Q	Thermal energy	joule (J)	M L2 T−2
Heat capacity	Cp	Energy per unit temperature change	J/K	M L2 T−2 Θ−1	extensive
Heat flux density	ϕQ	Heat flow per unit time per unit surface area	W/m2	M T−3
Illuminance	Ev	Wavelength-weighted luminous flux per unit surface area	lux (lx = cd⋅sr/m2)	L−2 J	intensive
Impedance	Z	Resistance to an alternating current of a given frequency, including effect on phase	ohm (Ω)	M L2 T−3 I−2	complex scalar
Inductance	L	Magnetic flux generated per unit current through a circuit	henry (H)	M L2 T−2 I−2
Irradiance	E	Electromagnetic radiation power per unit surface area	W/m2	M T−3	intensive
Intensity	I	Power per unit cross sectional area	W/m2	M T−3	intensive
Kinetic energy	KE	The work or force in the direction of motion times displacement	Joule (J)	M L2 T−2	extensive
Linear density	ρl	Mass per unit length	kg⋅m−1	M L−1
Luminous flux (or luminous power)	F	Perceived power of a light source	lumen (lm = cd⋅sr)	J	extensive
Mach number (or mach)	M	Ratio of flow velocity to the local speed of sound	unitless	1	intensive
Magnetic flux	Φ	Measure of magnetism, taking account of the strength and the extent of a magnetic field	weber (Wb)	M L2 T−2 I−1
Mass fraction	x	Mass of a substance as a fraction of the total mass	unitless	1	intensive
Mean lifetime	τ	Average time for a particle of a substance to decay	s	T	intensive
Molar concentration	C	Amount of substance per unit volume	mol⋅m−3	L−3 N	intensive
Molar energy	J/mol	Amount of energy present in a system per unit amount of substance	J/mol	M L2 T−2 N−1	intensive
Molar entropy	S°	Entropy per unit amount of substance	J/(K⋅mol)	M L2 T−2 Θ−1 N−1	intensive
Molar heat capacity	c	Heat capacity of a material per unit amount of substance	J/(K⋅mol)	M L2 T−2 Θ−1 N−1	intensive
Moment of inertia	I	Inertia of an object with respect to angular acceleration	kg⋅m2	M L2	extensive, tensor, scalar
Optical power	P	Measure of the effective curvature of a lens or curved mirror; inverse of focal length	dioptre (dpt = m−1)	L−1	intensive
Permeability	μs	Measure for how the magnetization of material is affected by the application of an external magnetic field	H/m	M L T−2 I−2	intensive
Permittivity	εs	Measure for how the polarization of a material is affected by the application of an external electric field	F/m	M−1 L−3 T4 I2	intensive
Plane angle	θ	Ratio of circular arc length to radius	radian (rad)	1	intensive
Potential energy	PE	The energy of an object or system due to the body's position relative to other objects, or the configuration of its particles	Joule (J)	M L2 T−2
Power	P	Rate of transfer of energy per unit time	watt (W)	M L2 T−3	extensive
Pressure	p	Force per unit area	pascal (Pa = N/m2)	M L−1 T−2	intensive
(Radioactivity) Activity	A	Number of particles decaying per unit time	becquerel (Bq = Hz)	T−1	extensive
(Radiation) Dose	D	Ionizing radiation energy absorbed per unit mass	gray (Gy = J/kg)	L2 T−2
Radiance	L	Power of emitted electromagnetic radiation per unit solid angle per emitting source area	W/(m2⋅sr)	M T−3
Radiant intensity	I	Power of emitted electromagnetic radiation per unit solid angle	W/sr	M L2 T−3
Reaction rate	r	Rate of a chemical reaction for unit time	mol/(m3⋅s)	L−3 T−1 N	intensive
Refractive index	n	Factor by which the phase velocity of light is reduced in a medium	unitless	1	intensive
Reluctance	${ℛ}$	Resistance to the flow of magnetic flux	H−1	M−1 L−2 T2 I2
Solid angle	Ω	Ratio of area on a sphere to its radius squared	steradian (sr)	1	intensive
Specific energy	$e$	Energy density per unit mass	J⋅kg−1	L2 T−2	intensive
Specific heat capacity	c	Heat capacity per unit mass	J/(K⋅kg)	L2 T−2 Θ−1	intensive
Specific volume	v	Volume per unit mass (reciprocal of density)	m3⋅kg−1	M−1 L3	intensive
Spin	S	Quantum-mechanically defined angular momentum of a particle	kg⋅m2⋅s−1	M L2 T−1
Strain	ε	Extension per unit length	unitless	1	intensive
Stress	σ	Force per unit oriented surface area	Pa	M L−1 T−2	order 2 tensor
Surface tension	γ	Energy change per unit change in surface area	N/m or J/m2	M T−2
Thermal conductance	κ (or) λ	Measure for the ease with which an object conducts heat	W/K	M L2 T−3 Θ−1	extensive
Thermal conductivity	λ	Measure for the ease with which a material conducts heat	W/(m⋅K)	M L T−3 Θ−1	intensive
Thermal resistance	R	Measure for the ease with which an object resists conduction of heat	K/W	M−1 L−2 T3 Θ	extensive
Thermal resistivity	Rλ	Measure for the ease with which a material resists conduction of heat	K⋅m/W	M−1 L−1 T3 Θ	intensive
Viscosity	η	The measure of the internal friction in a fluid	Pa⋅s	M L−1 T−1	intensive
Volume	V	Three dimensional extent of an object	m3	L3	extensive
Volumetric flow rate	Q	Rate of change of volume with respect to time	m3⋅s−1	L3 T−1	extensive
Wavelength	λ	Perpendicular distance between repeating units of a wave	m	L
Wavenumber	k	Repetency or spatial frequency: the number of cycles per unit distance	m−1	L−1	intensive
Work	W	Transferred energy	Joule (J)	M L2 T−2
Young's modulus	E	Ratio of stress to strain	Pascal (Pa)	M L−1 T−2	scalar; assumes isotropic linear material
Spring constant	k	k is the torsional constant (measured in N·m/radian), which characterizes the stiffness of the torsional spring or the resistance to angular displacement.	N/m	M T−2

Vector

Vector quantities

Derived quantity	Symbol	Description	SI derived unit	Dimension	Comments
Absement	A	Measure of sustained displacement: the first integral with respect to time of displacement	m⋅s	L T
Acceleration	Template:Vec	Rate of change of velocity per unit time: the second time derivative of position	m/s2	L T−2	vector
Angular acceleration	ωa	Change in angular velocity per unit time	rad/s2	T−2	pseudovector
Angular momentum	L	Measure of the extent and direction an object rotates about a reference point	kg⋅m2/s	M L2 T−1	conserved, bivector
Angular velocity	ω	The angle incremented in a plane by a segment connecting an object and a reference point per unit time	rad/s	T−1	bivector
Area	A	Extent of a surface	m2	L2	extensive, bivector or scalar
Centrifugal force	Fc	Inertial force that appears to act on all objects when viewed in a rotating frame of reference	N⋅rad = kg⋅m⋅rad⋅s−2	M L T−2	bivector
Crackle	Template:Vec	Change of jounce per unit time: the fifth time derivative of position	m/s5	L T−5
Current density	Template:Math	Electric current per unit cross-section area	A/m2	L−2 I	conserved, intensive
Displacement	Template:Math	The shortest distance from the initial to the final position of a point P undergoing motion	m	L	extensive
Electric dipole moment	p	Measure of the separation of equal and opposite electric charges	C⋅m	L T I
Electric displacement field	Template:Math	Strength of the electric displacement	C/m2	L−2 T I	vector field
Electric field strength	Template:Math	Strength of the electric field	V/m, N/C	M L T−3 I−1	vector field
Force	Template:Vec	Transfer of momentum per unit time	newton (N = kg⋅m⋅s−2)	M L T−2	extensive
Impulse	J	Transferred momentum	newton-second (N⋅s = kg⋅m/s)	M L T−1
Jerk	Template:Vec	Change of acceleration per unit time: the third time derivative of position	m/s3	L T−3
Jounce (or snap)	Template:Vec	Change of jerk per unit time: the fourth time derivative of position	m/s4	L T−4
Magnetic field strength	H	Strength of a magnetic field	A/m	L−1 I
Magnetic flux density	B	Measure for the strength of the magnetic field	tesla (T = Wb/m2)	M T−2 I−1	pseudovector
Magnetic moment (or magnetic dipole moment)	m	The component of magnetic strength and orientation that can be represented by an equivalent magnetic dipole	N⋅m/T	L2 I
Magnetization	M	Amount of magnetic moment per unit volume	A/m	L−1 I	vector field
Momentum	Template:Vec	Product of an object's mass and velocity	kg⋅m/s	M L T−1	extensive
Pop	Template:Vec	Rate of change of crackle per unit time: the sixth time derivative of position	m/s6	L T−6
Pressure gradient	$\mathrm{\nabla }p$	Pressure per unit distance	pascal/m	M1 L−2 T−2
Temperature gradient	$\mathrm{\nabla }T$	Steepest rate of temperature change at a particular location	K/m	L−1 Θ
Torque	τ	Product of a force and the perpendicular distance of the force from the point about which it is exerted	newton-metre (N⋅m)	M L2 T−2	bivector (or pseudovector in 3D)
Velocity	Template:Vec	Moved distance per unit time: the first time derivative of position	m/s	L T−1
Wavevector	Template:Math	Repetency or spatial frequency vector: the number of cycles per unit distance	m−1	L−1
Weight	w	Gravitational force on an object	newton (N = kg⋅m/s2)	M L T−2

Tensor

Tensor quantities

Derived quantity	Symbol	Description	SI derived unit	Dimension	Comments
Moment of inertia	I	Inertia of an object with respect to angular acceleration	kg⋅m2	L2 M	extensive, tensor, scalar
Stress	σ	Force per unit oriented surface area	Pa	L−1 M T−2	order 2 tensor
Electric_susceptibility(for non-isotropic linear dielectrics)	χ	Polarization density per unit electric field	1	1	tensor, scalar

See also

• List of photometric quantities
• List of radiometric quantities
• List of dimensionless quantities