List of physical quantities


This article consists of tables outlining a number of physical quantities. A physical quantity is a property of a material or system that can be quantified by measurement; it has a value and units. The International System of Quantities, which underlies the International System of Units, defines seven base quantities; other quantities are generally derived quantities, which can be expressed in terms of the base quantities.
Neither the names nor the symbols used for the physical quantities are set by international standards, although ISO/IEC 80000 does list many of these without making them normative. Some quantities are known by several different names and symbols. The table typically lists the name and symbol that is most commonly used.
The final column lists some properties and characteristics that a quantity has, such as their scaling behaviour, their transformation properties, and whether the quantity is conserved.

Scalar

NameSymbolDescriptionSI unitQuantity dimensionComments
absorbed dose rateDAbsorbed dose received per unit of timeGy/sL2 T−3
actionSMomentum of particle multiplied by distance travelledJ/HzM 'L2 T'−1
amount of substancenThe quantity proportional to the number of particles in a sample, with the Avogadro constant as the proportionality constantmole NISQ base quantity, [Intensive and Intensive and extensive properties|extensive properties|extensive]
angleθAngular distanceradian 1
angular accelerationωaChange in angular velocity per unit timerad/s2T−2
areaA, SExtent of a two-dimensional geometric shapem2L2extensive, bivector or scalar
area densityρAMass per unit areakg⋅m−2M 'L−2intensive
capacitanceC''Stored charge per unit electric potentialfarad M'−1 L−2 T4 I2
catalytic activity concentrationChange in reaction rate due to presence of a catalyst per unit volume of the systemkat⋅m−3L−3 T−1 Nintensive
chemical potentialμEnergy per unit change in amount of substanceJ/molM 'L2 T'−2 N−1intensive
density ρ''Mass per unit volumekg/m3M 'L−3intensive
dose equivalentH''Received radiation adjusted for the effect on biological tissuesievert L'2 T−2intensive
electric chargeQ''The force per unit electric field strengthcoulomb T 'Iextensive, conserved
electric charge densityρQElectric charge per unit volumeC/m3L'−3 T 'Iintensive
electrical conductanceG''Measure for how easily current flows through a materialsiemens M'−1 L−2 T3 I2
electrical conductivityσMeasure of a material's ability to conduct an electric currentS/mM−1 L−3 T3 I2
electric currentI''Rate of flow of electrical charge per unit timeampere IISQ base quantity, extensive
electric potentialφEnergy required to move a unit charge through an electric field from a reference pointvolt M 'L2 T'−3 I−1extensive
electrical resistanceRElectric potential per unit electric currentohm M 'L2 T'−3 I−2extensive, assumes linearity
electrical resistivityρeBulk property equivalent of electrical resistanceohm-metre M 'L3 T'−3 I−2extensive, conserved
energyEEnergyjoule M 'L2 T'−2
energy densityUEnergy per volumeJ⋅m−3M 'L−1 T'−2intensive
entropySLogarithmic measure of the number of available states of a systemJ/KM 'L2 T'−2 Θ−1extensive
frequencyfNumber of occurrences per unit timehertz T−1
half-lifet1/2Time for a quantity to decay to half its initial valuesT
heatQHeatjoule M 'L2 T'−2
heat capacityCpEnergy per unit temperature changeJ/KM 'L2 T'−2 Θ−1extensive
heat flux densityϕQHeat flow per unit time per unit surface areaW/m2M 'T−3
illuminanceE''vWavelength-weighted luminous flux per unit surface arealux L'−2 Jintensive
impedanceZ''Resistance to an alternating current of a given frequency, including effect on phaseohm M 'L2 T'−3 I−2complex scalar
inductanceLMagnetic flux generated per unit current through a circuithenry M 'L2 T'−2 I−2
irradianceEElectromagnetic radiation power per unit surface areaW/m2M 'T−3intensive
intensityI''Power per unit cross sectional areaW/m2M' T−3intensive
kinetic energyKEThe work or force in the direction of motion times displacementjoule M 'L2 T'−2extensive
lengthl'', Llinear extent between two points, which may be along some pathmetre LISQ base quantity, extensive
linear densityρlMass per unit lengthkg⋅m−1M 'L−1
luminous intensityI''vWavelength-weighted power of emitted light per unit solid anglecandela J'ISQ base quantity
luminous flux F''Perceived power of a light sourcelumen Jextensive
Mach number MRatio of flow velocity to the local speed of sound11intensive
magnetic fluxΦMeasure of magnetism, taking account of the strength and the extent of a magnetic fieldweber M 'L2 T'−2 I−1
massmA measure of resistance to accelerationkilogram MISQ base quantity, extensive
mass fractionxMass of a substance as a fraction of the total mass11intensive
mean lifetimeτAverage time for a particle of a substance to decaysTintensive
molar concentrationCAmount of substance per unit volumemol⋅m−3L−3 Nintensive
molar energyAmount of energy present in a system per unit amount of substanceJ/molM 'L2 T'−2 N−1intensive
molar entropyS°Entropy per unit amount of substanceJ/M 'L2 T'−2 Θ−1 N−1intensive
molar heat capacitycHeat capacity of a material per unit amount of substanceJ/M 'L2 T'−2 Θ−1 N−1intensive
moment of inertiaIInertia of an object with respect to angular accelerationkg⋅m2M 'L2extensive, tensor, scalar
optical powerP''Measure of the effective curvature of a lens or curved mirror; inverse of focal lengthdioptre L'−1intensive
permeabilityμsMeasure for how the magnetization of material is affected by the application of an external magnetic fieldH/mM 'L T'−2 I−2intensive
permittivityεsMeasure for how the polarization of a material is affected by the application of an external electric fieldF/mM−1 L−3 T4 I2intensive
plane angleθ''Ratio of circular arc length to radiusradian 1intensive
potential energyPEThe energy of an object or system due to the body's position relative to other objects, or the configuration of its particlesjoule M 'L2 T'−2
powerPRate of transfer of energy per unit timewatt M 'L2 T'−3extensive
pressurepForce per unit areapascal M 'L−1 T'−2intensive
(radioactivity) activityANumber of particles decaying per unit timebecquerel T−1extensive
(radiation) doseDIonizing radiation energy absorbed per unit massgray L2 T−2
radianceLPower of emitted electromagnetic radiation per unit solid angle per emitting source areaW/M 'T−3
radiant intensityI''Power of emitted electromagnetic radiation per unit solid angleW/srM' L2 T−3
reaction rater''Rate of a chemical reaction for unit timemol/L−3 T−1 Nintensive
refractive indexnFactor by which the phase velocity of light is reduced in a medium11intensive
reluctanceResistance to the flow of magnetic fluxH−1M−1 L−2 T2 I2
solid angleΩRatio of area on a sphere to its radius squaredsteradian 1intensive
specific energyeEnergy density per unit massJ⋅kg−1L2 T−2intensive
specific heat capacitycHeat capacity per unit massJ/L2 T−2 Θ−1intensive
specific volumevVolume per unit mass m3⋅kg−1M−1 L3intensive
speedvmagnitude of velocitym/sL 'T−1intensive
spinS''Quantum-mechanically defined angular momentum of a particlekg⋅m2⋅s−1M' L2 T−1
strainε''Extension per unit length11intensive
stressσForce per unit oriented surface areaPaM 'L−1 T'−2order 2 tensor
surface tensionγEnergy change per unit change in surface areaN/m or J/m2M 'T−2
temperatureT''Average kinetic energy per degree of freedom of a systemkelvin Θ'ISQ base quantity, intensive
timet''The duration of an eventsecond TISQ base quantity, extensive
thermal conductanceκ, λMeasure for the ease with which an object conducts heatW/KM 'L2 T'−3 Θ−1extensive
thermal conductivityλMeasure for the ease with which a material conducts heatW/M 'L T'−3 Θ−1intensive
Thermal resistanceRMeasure for the ease with which an object resists conduction of heatK/WM−1 L−2 T3 Θextensive
Thermal resistivityRλMeasure for the ease with which a material resists conduction of heatK⋅m/WM−1 L−1 T3 Θintensive
viscosityηThe measure of the internal friction in a fluidPa⋅sM 'L−1 T'−1intensive
volumeVThree dimensional extent of an objectm3L3extensive
volumetric flow rateQRate of change of volume with respect to timem3⋅s−1L3 T−1extensive
wavelengthλlength of the repetition interval of a wave as measured in the direction of propagationmL
wavenumberkRepetency or spatial frequency: the inverse of the wavelengthm−1L−1intensive
workWTransferred energyjoule M 'L2 T'−2
Young's modulusERatio of stress to strainpascal M 'L−1 T'−2scalar; assumes isotropic linear material
spring constantkk is the torsional constant, which characterizes the stiffness of the torsional spring or the resistance to angular displacement.N/mM 'T'−2

Vector

NameSymbolDescriptionSI unitQuantity dimensionComments
absementAMeasure of sustained displacement: the first integral with respect to time of displacementm⋅sL 'T
accelerationRate of change of velocity per unit time: the second time derivative of positionm/s2L' T−2vector
angular accelerationωaChange in angular velocity per unit timerad/s2T−2pseudovector
angular momentumLMeasure of the extent and direction an object rotates about a reference pointkg⋅m2/sM 'L2 T'−1conserved, bivector
angular velocityωThe angle incremented in a plane by a segment connecting an object and a reference point per unit timerad/sT−1bivector
areaAExtent of a surfacem2L2extensive, bivector or scalar
centrifugal forceFcInertial force that appears to act on all objects when viewed in a rotating frame of referenceN⋅rad = kg⋅m⋅rad⋅s−2M 'L T'−2bivector
crackleChange of snap per unit time: the fifth time derivative of positionm/s5L 'T−5
current densityElectric current per unit cross-section areaA/m2L'−2 Iconserved, intensive
displacementThe shortest distance from the initial to the final position of a point P undergoing motionmLextensive
electric dipole momentpMeasure of the separation of equal and opposite electric chargesC⋅mL 'T I'
electric displacement fieldStrength of the electric displacementC/m2L−2 T 'Ivector field
electric field strengthStrength of the electric fieldV/m, N/CM' L 'T−3 I'−1vector field
forceTransfer of momentum per unit timenewton M 'L T'−2extensive
gravitational field strengthForce per unit mass in a gravitational fieldm/s2L 'T−2
impulseJ''Transferred momentumnewton-second M' L 'T−1
jerkChange of acceleration per unit time: the third time derivative of positionm/s3L' T−3
magnetic field strengthH''Strength of a magnetic fieldA/mL−1 I
magnetic flux densityBMeasure for the strength of the magnetic fieldtesla M 'T−2 I'−1pseudovector
magnetic moment mThe component of magnetic strength and orientation that can be represented by an equivalent magnetic dipoleN⋅m/TL2 I
magnetizationMAmount of magnetic moment per unit volumeA/mL−1 Ivector field
momentumProduct of an object's mass and velocitykg⋅m/sM 'L T'−1extensive
popRate of change of crackle per unit time: the sixth time derivative of positionm/s6L 'T−6
pressure gradient∇p''Pressure per unit distancepascal/mM'1 L−2 T−2
snap Change of jerk per unit time: the fourth time derivative of positionm/s4L 'T−4
temperature gradientTSteepest rate of temperature change at a particular locationK/mL'−1 Θ
torqueτ''Product of a force and the perpendicular distance of the force from the point about which it is exertednewton-metre M 'L2 T'−2bivector
velocityMoved distance per unit time: the first time derivative of positionm/sL 'T−1
wavevectorRepetency or spatial frequency vector: the number of cycles per unit distancem−1L'−1
weightwGravitational force on an objectnewton M 'L T'−2

Tensor

NameSymbolDescriptionSI unitQuantity dimensionComments
moment of inertiaIInertia of an object with respect to angular accelerationkg⋅m2L2 Mextensive, tensor, scalar
stressσForce per unit oriented surface areaPaL−1 M 'T−2order 2 tensor
electric susceptibility χ''Polarization density per unit electric field11'''tensor, scalar