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SI Dimensions of Physical Quantities listed by Category

 SI Dimensions of Physical Quantities listed by Category

QuantityDimensionAlternativesRoot definition and Notes
Basic SI quantities 
Length m m meter 
Mass kg kg kilogram 
Time s s second 
Current, electric A A ampere 
Temperature K K kelvin 
Quantity of substance mol mol mole 
Luminosity | Luminous intensity cd cd candle 
Pseudo-dimensional quantities: 
Plane angle 1 rad radian 
Solid angle 1 sr steradian 
Universal dimensionless quantities 
Count of events | Number of instances 1  This covers all kinds of enumerations 
Probability of an event 1  Real number in a dimensionless interval [0,1] 
Ratio of commensurable quantities 1  Q1/Q2, with Q1 and Q2 having the same dimension 
Relative variation 1  ΔQ/Q, for any quantity Q 
Logarithmic ratio logb(A/A') in any base b 1  Applicable to any ratio of commensurable quantities 
Logarithmic scale differential | Relative differential 1  d{ln(Q)} = dQ/Q, for any quantity Q 
Pseudo-dimensional quantities: 
Phase | Phase angle 1 rad φ typically in exp(i(ωt+φ)) 
Logarithmic ratio Log(P/P')/10 1 dB decibel. Uses base-10 logarithm. Applies to power P 
Logarithmic ratio Log(X/X')/20 1 dB decibel. Uses base-10 logarithm. Applies to amplitudes X 
Gain or Loss of a device 1 usually in dB [Output]/[Input], provided they are commensurable quantities 
Attenuation | Amplification (generic)  1 usually in dB [Quantity(p)]/[Quantity(p')], with p being some parameter 
Logarithmic ratio ln(A/A') 1 Np Neper. Uses natural logarithm 
Logarithmic scale probability density 1 1/Np [Probability]/[Natural-logarithmic ratio] 
Operators 
Derivative with respect to time s-1 d/dt, ∂/∂t 
Derivative with respect to a length m-1 d/dr, ∂/∂r, r = x | y | z 
Nabla ( ∇ ) | div | grad | rot | curl m-1 Any derivative-like construct with respect to a distance 
Laplace operator | Laplacianm-2 2 = ∂2/∂x2 + ∂2/∂y2 + ∂2/∂z2 
D'Alembert operator | D'Alembertian m-2 (1/c2)2/∂t2 - ∂2/∂x2 - ∂2/∂y2 - ∂2/∂z2 
Multiple derivatives with respect to time s-p dp/dtp, ∂p/∂tp; for p = 1,2,3,.. 
Multiple derivatives with respect to a length m-p dp/drp, ∂p/∂rp; for p = 1,2,3,..., r = x | y | z 
Quantities related only to time 
Time | Duration s s second 
Half life s  of a non-conservative / decaying quantity 
Settling time s typically dB/s Used to describe transient phenomena 
Relaxation time s  Used for returns to equilibria 
Activity | Frequency of events s-1 [Counts]/[Time] 
Count rate | Expectation frequency s-1 [Counts]/[Time] 
Relative growth rate s-1 [Relative variation]/[Time] 
Relative evolution rate | Log-scale evolution rate s-1 d{ln(Q)}/dt = (dQ/dt)/Q 
Settling rate s-1typically dB/s [Ratio]/[ΔTime]. Used for transient phenomena 
Relaxation rate s-1 1/[Relaxation time] 
Frequency of waves s-1Hz hertz 
Phase drift rate s-1rad.s-1[Phase angle]/[Time] 
Angular velocity / speed s-1rad.s-1[Plane angle]/[Time] 
Frequency drift rate s-2Hz.s-1[ΔFrequency]/[Time]. Applicable to waves 
Angular acceleration / deceleration s-2rad.s-2[ΔAngularVelocity]/[Time] 
Quantities related only to space 
Position vector m  in all Euclidean n-dimensional spaces 
Length | Distance m m meter 
Perimeter | Circumference | Radius m   
Thickness m  usually referred to planar structures 
Wavelength m  [Wave velocity]/[Frequency] 
Wavenumber m-1 [Number of waves]/[Distance] 
K-space vector | Reciprocal space position m-1  
Curvature radius m  of a line in plane/space or surface in space 
Curvature m-1 1/[Curvature radius] 
Convergence m-1dioptry used in optics, but not only .. 
Attenuation / amplification over a distance m-1dB/m [Attenuation]/[Distance]. Mostly in acoustic and electronics 
Extinction coefficient m-1dB/m [Ratio]/m. Used mostly for radiation 
Propagation / transmission loss m-1dB/m [Ratio]/m. Generic, usable for any quantity 
Area | Cross section m2 [Distance]*[Distance] 
Surface element | Surface area m2 [Distance]*[Distance]. Applicable to 3D bodies 
Volume element | Volume m3 [Area]*[Distance] 
Propagation through space and time 
Velocity | Speed m.s-1 [Distance]/[Time] 
Acceleration | Deceleration m.s-2 [ΔVelocity]/[ΔTime] 
Drift speed m.s-1 Steady-state speed of an object 
Surface / area growth rate m2.s-1 [ΔArea]/[Time] 
Volume growth rate m3.s-1 [ΔVolume]/[Time]. For example, of a crystal 
Volume flow m3.s-1 [Volume]/[Time]. For example, through a device 
Matter distribution and transport 
Particle density m-3 [Count]/[Volume]. Obsolete: number density 
Mass kg kg kilogram 
Mass production rate kg.s-1 [ΔMass]/[Time] 
Mass density | Specific density kg.m-3 [Mass]/[Volume] 
Mass density gradient | Specific density gradient kg.m-4 [Mass density]/[Distance] 
Specific volume m3.kg-1 [Volume]/[Mass] 
Concentration ratio by volume 1 Dimensionless [Partial volume]/[Total volume] 
Concentration ratio by mass 1 Dimensionless [Partial mass]/[Total mass]. Not by weight: obsolete) 
Mass flow (total) kg.s-1 [ΔMass]/[Time]. For example, through a device 
Diffusion coefficient m2.s-1 [Distance2]/[Time] 
Molar distribution and transport quantities: 
Particle count, molar mol-1 [Count]/[Mol]. For example, the Avogadro constant 
Molar production rate mol.s-1 [ΔQuantity]/[Time] 
Molar mass kg.mol-1 [Mass]/[Quantity] 
Molar volume m3.mol-1 [Volume]/[Quantity] 
Molar density | Density of substance m-3.mol [Quantity]/[Volume] 
Molarity | Concentration m-3.mol [Quantity]/[Volume]. Same as molar density 
Molarity gradient | Concentration gradient m-4.mol [Molarity]/[Distance] 
Molar concentration ratio 1 Dimensionless [Partial quantity]/[Total quantity] 
Molality (intended as concentration) kg-1.molmol/kg [Quantity]/[Mass]. Obsolete 
Katalytic activity mol.s-1katal [ΔQuantity]/[Time] 
Mechanics and hydrodynamics 
Force kg.m.s-2N newton. [Mass]*[Acceleration] 
Moment of motion kg.m.s-1 [Mass]*[Velocity], [Mass flow]*[Distance] 
Impulse kg.m.s-1 [ΔMoment of motion], [Force]*[ΔTime], [Mass]*[ΔVelocity] 
Moment of force | Torque kg.m2.s-2N.m [Force]*[Distance]. Like energy 
Couple kg.m2.s-2N.m 2*[Force]*[Distance] for two non-aligned opposing forces 
Pressure kg.m-1.s-2N.m-2Papascal. [Force]/[Area] 
Pressure gradient kg.m-2.s-2N.m-3Pa/m[Pressure]/[Distance] 
Energy | Lagrangian | Hamiltonian kg.m2.s-2N.m, J joule. [Force]*[Distance], [Power]*[Time] 
Specific energy m2.s-2J.kg-1[Energy]/[Mass] 
Energy density kg.m-1.s-2J.m-3[Energy]/[Volume] 
Power | Energy flux kg.m2.s-3J.s-1W watt. [ΔEnergy]/[ΔTime] 
Action kg.m2.s-1J.s [Energy]*[Time], [Moment of motion]*[Distance] 
Angular moment of inertia kg.m2 [Mass]*[Distance2] 
Angular moment of motion kg.m2.s-1J.s [Moment of motion]*[Distance] 
Circulation m2.s-1J.s.kg-1[Angular moment]/[Mass], [Velocity]*[Loop length] 
Spin 1 Dimensionless of a quantum particle 
Stress | Tension | Compression kg.m-1.s-2N.m-2Pa (pascal)[Force]/[Area]. ... same as pressure 
Compressive strength kg.m-1.s-2N.m-2, Pa[Force]/[Area]. Like pressure 
Strain (mechanical) 1 Dimensionless [ΔLength]/[Length] Relative deformation 
Friction kg.m.s-2N Tangential force between two moving surfaces 
Traction kg.m.s-2N Maximum tangential force before slipping 
Velocity, superficial m.s-1m/s In porous media; as if the space was filled only by the fluid 
Velocity, advection m.s-1m/s In porous media; actual progress along pressure gradient 
Wave function for N particles (quantum) m-3N/2tentative |ψ|2N is a dimensionless probability element.
Mechanical and hydrodynamic properties of matter 
Compressibility | Modulus of compression kg-1.m.s2Pa-1[Pressure]/([ΔVolume]/[Volume]). Inverse of bulk modulus 
Bulk modulus kg.m-1.s-2N.m-2, Pa([ΔVolume]/[Volume])/[Pressure]. Inverse of compressibility 
Young modulus kg.m-1.s-2N.m-2, Pa[Stress]/[Strain]. Like shear modulus 
Shear modulus | Modulus of rigidity kg.m-1.s-2N.m-2, Pa[Stress]/[Strain]. Same dimension aas Young modulus 
Poisson's ratio 1 Dimensionless [Transversal striction]/[Londitudinal elongation] 
Impact | Notch resistance kg.s-2J.m-2[Energy]/[Area] 
Hardness | Tensile strength kg.m-1.s-2N.m-2, Pa[Force]/[Area]. Like pressure 
Stiffness (linear) kg.s-2N.m-1[Force]/[Displacement]. ... of a structure 
Stiffness (rotational) kg.m2.s-2.rad-1N.m.rad-1[Moment of force]/[Angle]. ... of a structure 
Friction coefficient 1 Dimensionless [Tangential force]/[Normal force] 
Traction coefficient 1 Dimensionless [Traction]/[Weight] 
Self-diffusion coefficient m2.s-1 [Distance2]/[Time] 
Surface tension kg.s-2N/m [Force]/[Length]. Same as surface energy 
Surface energy kg.s-2J/m2[Energy]/[Area]. Same as surface tension 
Viscosity, dynamic kg.m-1.s-1Pa.s ([Force]/[Area])/[ΔVelocity] 
Viscosity, kinematic m2.s-1 [Dynamic viscosity]/[Density] 
Reynolds number 1 Dimensionless [Velocity]*[length]/[Kinematic viscosity] 
Critical angle of repose rad or degree Steepest angle of a slope before a slide 
Porosity, volume 1 Dimensionless [Volume of pores]/[Total volume], in porous media 
Porosity, superficial 1 Dimensionless [Void cross section]/[Total cross section], in porous media 
Permeability, hydraulic m21 darcy = 10-12 m2[Velocity]*[Viscosity]/[Pressure gradient], in porous media 
Conductivity, hydraulic m.s-1m/s Used for porous media 
Specific acoustic impedance / resistance / reactance kg.m-2.s-1Pa.s/m reyl[ΔPressure]*[Velocity], intensive property 
Specific acoustic conductance / susceptance kg-1.m2.sreyl-1Inverse of specific acoustic impedance 
Acoustic impedance / resistance / reactance kg.m-4.s-1Pa.s/m3, reyl/m2[ΔPressure]/[Volume flow rate], extensive property 
Thermodynamics 
Temperature K K kelvin 
Temperature gradient | Thermal gradient K.m-1 [ΔTemperature]/[Distance] 
Heat | Internal energy | Enthalpy kg.m2.s-2J Same as energy 
Specific heat | internal energy | enthalpy m2.s-2J.kg-1[Heat]/[Mass] 
Heat capacity kg.m2.s-2.K-1J.K-1[ΔHeat]/[ΔTemperature] 
Heat flux kg.m2.s-3J.s, W [ΔHeat]/[ΔTime]. Same as power 
Heat flux density | Irradiance kg.s-3W.m-2[Heat flux]/[Area] 
Entropy kg.m2.s-2.K-1J.K-1[ΔHeat]/[Temperature] 
Specific entropy m2.s-2.K-1J.K-1.kg-1[Entropy]/[Mass] 
Free energy | Free enthalpy kg.m2.s-2J Helmholtz | Gibbs functions, respectively 
Specific free energy | free enthalpy m2.s-2J.kg-1[Energy]/[Mass]. Also specific Helmholtz | Gibbs functions 
Molar thermodynamical quantities: 
Molar heat | internal energy | enthalpy kg.m2.s-2.mol-1J.mol-1[Heat]/[Quantity] 
Molar energy kg.m2.s-2.mol-1J.mol-1[Energy]/[Quantity] 
Molar entropy kg.m2.s-2.K-1.mol-1J.K-1.mol-1[Entropy]/[Quantity] 
Molar free energy | free enthalpy kg.m2.s-2.mol-1J.mol-1[Energy]/[Quantity]. Molar versions of the above 
Thermodynamic and thermal properties of matter 
Thermal expansion coefficient K-1 ([ΔLength]/[Length])/[Temperature] 
Heat capacity, specific m2.s-2.K-1J.K-1.kg-1[Heat capacity]/[Mass] 
Heat capacity, molar kg.m2.s-2.K-1.mol-1J.K-1.mol-1[Heat capacity]/[Quantity] 
Heat of fusion | evaporation, specific m2.s-2J.kg-1[Energy]/[Mass] 
Heat of fusion | evaporation, molar kg.m2.s-2.mol-1J.mol-1[Energy]/[Quantity] 
Heat conductivity kg.m.s-3.K-1W.m-1.K-1[Heat flux]/([Distance]*[ΔTemperature]) 
Thermal diffusivity m2.s-1 ([∂Temp]/[∂Time])/[∇2Temp].
Prandtl number 1 Dimensionless [Kinematic viscosity]/[Thermal diffusivity] 
Joule-Thomson coefficient kg-1.m.s2.KK.Pa-1[ΔTemperature]/[ΔPressure] 
Pi coefficient, molar kg.m-1.s-2.mol-1J.m-3[ΔInternalEnergy]/[ΔVolume] 
Chemical potential, molar kg.m2.s-2.mol-1J.mol-1[ΔInternalEnergy]/[ΔQuantity] 
Softening point K  Temperature at which hardness drops below a level 
Annealing point K  Temperature at which viscosity drops below 1012 Pa.s 
Strain point K  Temperature at which viscosity drops below 1013.5 Pa.s 
Flash point K  Temperature at which vapour can be kept burning 
Fire point K  Temperature at which ignited vapour keeps burning 
Thermal properties of devices 
Thermal resistance kg-1.m-2.s3KK/W [ΔT]/[Power].
Electromagnetism 
Charge, electric s.A C coulomb. [Current]*[Time] 
Charge density m-3.s.A C.m-3[Charge]/[Volume] 
Current, electric A A ampere. [Charge]/[Time] 
Current density | Current intensity m-2.A [Current]/[Area] 
Specific charge | Charge/mass ratio kg-1.s.A C.kg-1[Charge]/[Mass] 
Molar charge s.A.mol-1 C.mol-1[Charge]/[Quantity] 
Quantum charge 1 Dimensionless [Charge]/[Elementary charge quantum] 
Surface density of charge m-2.s.A C.m-2[Charge]/[Area] 
Potential, electric kg.m2.s-3.A-1W.A-1, J.C-1, C.F-1Vvolt. [Power]/[Current], [Energy]/[Charge] 
Electric dipole moment m.s.A C.m [Charge]*[Distance] 
Electric quadrupole moment m2.s.A C.m2[Electric dipole]*[Distance], [Electric charge]*[Distance2] 
Electric field strength | Electric intensity kg.m.s-3.A-1V.m-1[ΔPotential]/[Distance] 
Electric field gradient kg.s-3.A-1V.m-2[ΔEl.field strength]/[Distance] 
Electric flux density | Electric induction m-2.s.AC.m-2[Charge]/[Area] 
Electric polarization | Electric displacement m-2.s.AC.m-2[Charge]/[Area]. Same as electric flux density 
Magnetic field strength | Magnetic intensity m-1.A [Current]/[Distance] 
Magnetic flux kg.m2.s-2.A-1V.s, W.s.A-1Wb weber. [ΔPotential]*[Time], [Power]/[dCurrent/dt] 
Magnetic flux density | Magnetic induction kg.s-2.A-1Wb.m-2T tesla. [Mag.flux]/[Area] 
Magnetic vector potential kg.m.s-2.A-1m-1.s.V, m.T[Mag.flux density]*[Distance], [El.field strength]*[Time] 
Magnetization m-1.A [Magnetic moment]/[Volume]. Like magnetic field strength 
Magnetic charge (bound) m-2.A - ∇.[Magnetization] , -Divergence of magnetization 
Poynting vector kg.s-3W.m-2[El.field strength]/[Mag.field strength]. Same as irradiance 
Magnetic field gradient kg.m-1.s-2.A-1T.m-1[ΔMagnetic flux density]/[Distance] 
Magnetic dipole moment m2.AJ.T-1[Current]*[Area]. Same as magnetic moment 
Magnetic quadrupole moment m3.Am.J.T-1[Magnetic dipole]*[Distance] 
Gyromagnetic ratio kg-1.s.AHz.T-1[Mag.moment]/[Angular moment of motion] 
Magnetogyric ratio kg.s-1.A-1T.Hz-1[Angular moment of motion]/[Mag.moment] 
Relativistic four-current (Jα) m-2.A Like current density and [Charge]*[c] 
Relativistic four-potential (Aα) kg.m.s-2.A-1m-1.s.V, m.TLike magnetic vector potential and [El.potential]/[c] 
Relativistic electromagnetic field tensor (Fμν) kg.s-2.A-1T Like magnetic flux density 
Relativistic displacement four-tensor (Dμν) m-1.A Like magnetic intensity 
Electromagnetic properties of matter 
Resistivity kg.m3.s-3.A-2Ω.m [Resistance]*[Length])/[Area] 
Conductivity kg-1.m-3.s3.A2S.m-11/[Resistivity] 
Permittivity, electric kg-1.m-3.s4.A2F.m-1[El.flux density]/[El.field strength] 
Dielectric constant | Relative permittivity 1 Dimensionless [Permittivity]/[Permittivity of vacuum] 
Permeability, magnetic kg.m.s-2.A-2N.A-2, H.m-1[Mag.flux density]/[Mag.field strength] 
Reluctance, magnetic kg-1.m-1.s2.A2m.H-11/[Permeability] 
Relative permeability, magnetic 1 Dimensionless [Permeability]/[Permeability of vacuum] 
Susceptibility, magnetic 1 Dimensionless [Relative permeability] - 1 
Characteristic impedance kg.m2.s-3.A-2V.A-1, Ω, ohm √([Mag.Permeability]/[El.Permittivity]) 
Electric | Dielectric strength | rigidity kg.m.s-3.A-1V.m-1[ΔPotential]/[Distance] 
Verdet constant kg-1.m-1.s2.A1rad.m-1.T-1([Angle]/[Length])/[Magnetic flux density] 
Work function kg.m2.s-2J, eV [Energy] needed to remove an electron 
Thermoelectric power | Thermopower kg.m2.s-3.A-1.K-1V.K-1[ΔPotential]/[ΔTemperature] 
Seeback coefficient kg.m2.s-3.A-1.K-1V.K-1[ΔPotential]/[ΔTemperature] 
Thomson coefficient kg.m2.s-3.A-1.K-1W.K-1.A-1[Heat flux]/([ΔTemperature]*[Current]) 
Peltier coefficient kg.m2.s-3.A-1W.A-1, V[Heat flux]/[Current] 
Piezzoelectric coefficient kg.m.s-3.A-1V.m-1[El.field strength]/([ΔLength]/[Length]) 
Electrostriction coefficient kg-2.m-2.s6.A2m2.V-2([ΔVolume]/[Volume])/[El.field strength]2 
g-factor of a particle 1 Dimensionless [Mag.moment]/([Spin].[Bohr magneton]) 
Properties of electric/magnetic devices and circuit components 
Bandwidth s-1Hz [ΔFrequency] 
Voltage | Electromotive force (emf) kg.m2.s-3.A-1V [ΔPotential] 
Current, electric A A ampere. [Charge]/[Time] 
Magnetomotive force (mmf) A  [Current]*[Number of turns] 
Impedance, of a circuit kg.m2.s-3.A-2Ω ohm 
Admittance, of a circuit kg-1.m-2.s3.A2S siemens. 1/[Circuit impedance] 
Resistance kg.m2.s-3.A-2V.A-1Ω(ohm) [ΔPotential]/[Current] 
Conductance kg-1.m-2.s3.A2A.V-1S (siemens) 1/[Resistance] 
Capacitance kg-1.m-2.s4.A2C.V-1F farad. [Charge]/[ΔPotential] 
Reactance, capacitive kg.m2.s-3.A-2Ω (ohm) 1/(i[Angular frequency].[Capacitance]) 
Susceptance, capacitive kg-1.m-2.s3.A2S (siemens) 1/[Reactance] 
Inductance | Mutual inductance kg.m2.s-2.A-2V.s.A-1, Wb.A-1H henry. [ΔPotential]/[dCurrent/dt] or [Magnetic flux]/[Current] 
Impedance, inductive kg.m2.s-3.A-2Ω (ohm) i[Angular frequency].[Inductance] 
Admittance, inductive kg-1.m-2.s3.A2S (siemens) 1/[Inductive impedance] 
Number of turns 1  Applicable to coils, transformers, etc 
Current noise, variance nJ2 s.A2A2/Hz[Current]2/[Bandwidth]
Voltage noise, variance nV2 kg2.m4.s-5.A-2V2/Hz[Voltage]2/[Bandwidth]
Chemistry, physical chemistry, atomic and molecular physics 
Concentration | Molar density | Molarity m-3.mol [Quantity]/[Volume]. Same as Density of substance 
Molality kg-1.molmol/kg [Quantity]/[Mass] 
Katalytic activity | Molar production rate mol.s-1katal [Quantity]/[Time] 
Molar mass kg.mol-1 [Mass]/[Quantity] 
Molar charge s.A.mol-1 C.mol-1[Charge]/[Quantity] 
Molecular | ionic quantum charge 1 Dimensionless [Charge of a molecule or ion]/[Elementary charge quantum] 
Ionic strength | Ionic force m-3.mol Sum([Conc.]*[Ionic quantum charge]2)
Ion mobility kg-1.m-1.s2.Am2.s-1.V-1 [Velocity]/[Electric field strength] .
Drift speed m.s-1 Steady-state speed of ions in electric field .
Fugacity kg.m-1.s-2Pa Effective pressure in real gases 
Osmotic pressure kg.m-1.s-2Pa 
Thermodynamic force kg.m.s-2.mol-1N/mol [ΔChemical potential]/[Distance] 
Chemico-physical properties of elements 
Atomic number 1 Dimensionless Number of protons in an atomic nucleus 
Atomic weight | Relative atomic mass au atomic units Average over a typical isotopic composition 
Mass number of an isotope 1 Dimensionless Number of protons+neutrons in the isotope nuclide 
Electronegativity, Pauling χ 1 Dimensionless Relative tendency of an atom to attract electrons; χ(H)=2.20.  
Electron affinity (always molar) kg.m2.s-2.mol-1J.mol-1Energy released when binding an electron 
Chemico-physical properties of matter 
Ionization energy, molar kg.m2.s-2.mol-1J.mol-1Energy to ionize a molecule/atom 
Volume, molar m3.mol-1 [Volume]/[Quantity] 
Heat of fusion | evaporation, molar kg.m2.s-2.mol-1J.mol-1[Energy]/[Quantity] 
Chemical potential, molar kg.m2.s-2.mol-1J.mol-1[ΔInternalEnergy]/[ΔQuantity] 
Solubility, molar m-3.mol [Quantity]/[Volume] 
Reduction | Redox potential kg.m2.s-3.A-1V (volt)  
Conductivity, molar kg-1.s3.A2.mol-1S.m2.mol-1[El.conductivity]/[Concentration] 
Relaxivity, molar s-1.mol-1 [Relaxation rate]/[Concentration] 
Ebullioscopic constant kg.mol-1.KK/(mol/kg) [ΔTemperature]/[Molality] 
Cryoscopic constant kg.mol-1.KK/(mol/kg) [ΔTemperature]/[Molality] 
Compression factor of a real gas 1 Dimensionless pV/(nRT). For ideal gas equals 1; temperature dependent 
van der Waals constant: a kg.m5.s-2.mol-2Pa.m6a in (p+a/V2)(V-b)=RT, where V is molar volume
van der Waals constant: b m3.mol-1 b in (p+a/V2)(V-b)=RT, where V is molar volume
Virial coefficient: second m3.mol-1 B in pV/(nRT)=1+B(n/V)+C(n/V)2+D(n/V)3+...
Virial coefficient: third m6.mol-2 C in pV/(nRT)=1+B(n/V)+C(n/V)2+D(n/V)3+...
Virial coefficient: fourth m9.mol-3 C in pV/(nRT)=1+B(n/V)+C(n/V)2+D(n/V)3+...
Gravitation, Astronomy, Cosmology 
Gravitational field intensity | Gravity m.s-2 [Force]/[Mass], Same as acceleration 
Gravitational field potential m2.s-2 [Energy]/[Mass] 
Gravitational constant G kg-1.m3.s-2 [Force]*[Distance]2/[Mass]2. Appears in Newton's equation 
Mean motion s-1 Of a body on a Kepler orbit; sqrt(G(M1+M2)/r3) 
Mean anomaly 1 Dimensionless Of a body on a Kepler orbit; t.sqrt(G(M1+M2)/r3) 
Star magnitude (astronomy) 1 Dimensionless m-m'= -100.4(S/S'). S,S' are luminous fluxes of two stars 
Cosmological constant Λ m-2 Appears in Einstein's equation 
Cosmological expansion rate s-1km/s/Mpc [Velocity]/[Distance]. Mpc stands for Megaparsec 
Optics 
Albedo, of a surface 1 Dimensionless [Reflected elmag power]/[Incident elmag power] 
Convergence m-1dioptry dioptry 
Luminosity | Luminous intensity cd cd candle or lumen/sr 
Luminous flux | Luminous power cd.sr lm lumen. [Luminosity]*[Solid angle] 
Luminance cd.m-2 [Luminosity]/[Area] 
Luminous energy cd.sr.s lm.s [Luminous flux]*[Time]. Also known as talbot 
Illuminance cd.sr.m-2lm.m-2lx lux. [Luminous flux]/[Area] 
Luminous emittance cd.sr.m-2lm.m-2lx lux. Same as illuminance, but for sources 
Luminous efficacy cd.sr.kg-1.m-1.s3lm/W [Luminous flux]/[Power] 
Luminous efficiency | Luminous coefficient 1 Dimensionless [Luminous efficacy]/[683 lm/W] 
Irradiance kg.s-3W.m-2[Power]/[Area]. For all kinds of energy deposition 
Radiance kg.s-3.sr-1W.m-2.sr-1([Power]/[Area])/[Solid angle] 
Optical properties of matter 
Extinction coefficient m-1  
Refractive index 1 Dimensionless Light speeds ratio (in medium)/(in vacuum) 
Specific refractivity m3.kg-1 [(r2-1)/(r2+2)]/[Specific density], where r is refractive index 
Molar refractivity m3.mol-1 [(r2-1)/(r2+2)]/[Concentration] 
Dispersivity quotient m-1 [ΔRefractive index]/[ΔWavelength] 
Dispersive power 1 Dimensionless Ratio of differences of refractive indices 
Constringence | Abbé number | V-number 1 Dimensionless VD = (nD-1)/(nF-nC) 
Radiation and radioactivity 
Radioactivity | Activity s-1Bq bequerel. [Counts]/[Time] 
Irradiance kg.s-3W.m-2[Power]/[Area]. For all kinds of energy deposition 
Absorbed dose m2.s-2J.kg-1Gy gray. [Energy]/[Mass] 
Absorbed dose rate m2.s-3Gy.s-1[Absorbed dose]/[Time] 
Absorbed dose equivalent m2.s-2J.kg-1Sv sievert. [const].[Energy]/[Mass] 
Exposure kg-1.s.AC.kg-1[Charge]/[Mass]. For ionising radiations 
Radiation properties of matter 
Half life s  Of a radioisotope 
Radiation power m2.s-3W/kg [Power]/[Mass]. Heat generated by a radioisotope 
Radiation power, molar kg.m2.s-3.mol-1W/mol [Power]/[Quantity]. Heat generated by a radioisotope 
Informatics 
Information bit-1bit bit; the elementary information quantum 
Baud rate | Information flux bit.s-1Baud baud. [Information]/[Time] 
Economy and finance 
Transactions count 1 Dimensionless All kinds of counts 
Interest 1 % [ΔWealth]/[Wealth]. Usually expressed as percentage 
Wealth | Asset cur currency Currencies like $, EUR, Yuan, ... are different units 
Debt | Liability cur currency Usually intended as negative wealth 
Value | Price cur currency Prefixes: K..thousands, M..millions, B..billions 
Transaction value | Sale | Purchase cur currency Often used: mean and total values 
Time period s year,quarter,month Abbrevs: mrq.. most recent quarter, ttm.. trailing twelve months 
Fiscal year | Calendar year s year Abbrevs: lfy.. last fiscal year, yoy.. year over year 
Transactions rate | Activity s-11/year [Transactions]/[Time period] 
Transactions volume | Sales flow cur.s-1 [Value]/[Time period]. For example $/day or Eur/year 
Velocity / circulation of money s-11/year [Transactions]/[Time period] 
Interest rate s-1%/year [Interest]/[Time period] 
Return on asset / equity s-1%/year ([ΔValue]/[Value])/[Time period] 
Cash flow | Flow (generic) cur.s-1currency/year [Value]/[ΔTime]. Mathematically, time derivative 
Earnings | Income rate cur.s-1currency/year [Value]/[Time period] 
GDP Gross domestic product cur.s-1currency/year [Earnings]. Usually refered to nations/states/admin.regions 
Debt/GDP ratio syear [Debt]/[Earnings]. Independent of currency / population size 
P/E Price/Earnings ratio syear [Value]/[Earnings]. Used to assess an asset/company 
Bond duration syear In general, the duration of a fixed cash flow 


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