SI Dimensions of Physical Quantities listed by Category
compiled by Stanislav Sýkora, Extra Byte, Castano Primo, Italy 20022.
Stan's Library, ISSN 2421-1230, Vol.I. First release February 28, 2005. Permalink via DOI:  10.3247/SL1Phys06.004
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Quantity Dimension Alternatives Root 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 
Universal dimensionless quantities 
Ratio of like quantities  1    Q1/Q2, with Q1 and Q2 having the same dimension 
Relative variation  1    ΔQ/Q, for any quantity Q. 
Logarithmic scale differential | Relative differential  1    d{ln(Q)} = dQ/Q, for any quantity Q 
Number | Count of events/instances  1    This covers all kinds of enumerations. 
Probability of an event  1    Real number in a dimensionless interval [0,1]. 
Plane angle  1  rad  radian 
Phase angle  1  rad  φ in exp(i(ωt+φ)) 
Solid angle  1  sr  steradian 
Logarithmic ratio logb(A/A')  1  log in any base b  Applicable to any ratio of like quantities. 
Logarithmic ratio ln(A/A')  1  Np  neper. Uses natural logarithm. 
Ln-scale probability density  1  Np-1 [Probability]/[Natural-logarithmic ratio] 
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 of a device  1  often in dB  [Output]/[Input], provided they are like quantities. 
Quantities related only to time 
Time | Duration  s  s  second 
Count rate | Expectation frequency  s-1   [Events]/[Time]. 
Activity | Radioactivity  s-1 Bq  bequerel. [Events]/[Time]. 
Frequency of waves or events  s-1 Hz  hertz .
Frequency drift rate  s-2 Hz.s-1 [ΔFrequency]/[Time]. 
Phase drift rate  s-1 rad.s-1 [Phase angle]/[Time]. 
Angular velocity  s-1 rad.s-1 [Plane angle]/[Time]. 
Angular acceleration  s-2 rad.s-2 [ΔAngularVelocity]/[Time]. 
Settling rate  s-1 typically dB/s  [Ratio]/[ΔTime]. 
Log-scale evolution rate | Relative evolution rate  s-1   d{ln(Q)}/dt = (dQ/dt)/Q. 
Relaxation time  s    Used in all branches of Science. 
Relaxation rate  s-1   1/[Relaxation time]. 
Quantities related only to space 
Length  m  m  meter 
Distance | Position vector  m    in all Euclidean n-dimensional spaces. 
Thickness  m    usually referred to planar structures. 
Area | Cross section  m2   [Distance]*[Distance]. 
Volume  m3   [Area]*[Distance] 
Curvature radius  m    of a line in plane/space or surface in space 
K-space vector  m-1   same as reciprocal space position. 
Convergence  m-1 dioptry  in optics, but not only ... 
Wavenumber  m-1   [Number of waves]/[Distance]. 
Wavelength  m    [Wave velocity]/[Frequency]. 
Propagation through media 
Attenuation  m-1 dB/m  Sonic, RF, ... attenuation. 
Transmission | Propagation loss  m-1 dB/m  [Ratio]/m. Used for any other quantity. 
Extinction coefficient  m-1 dB/m  Used mostly for radiation. 
Matter distribution and transport 
Mass  kg  kg  kilogram 
Specific density | Density of mass  kg.m-3   [Mass]/[Volume]. 
Specific volume   [Volume]/[Mass]. 
Number density  m-3   [Particles]/[Volume]. 
Number density, molar  mol-1   [Particles]/[Mol]. The Avogadro constant. 
Concentration | Molar concentration  m-3.mol   [Quantity]/[Volume]. Also density of substance 
Volume concentration  1  Dimensionless  [Volume of substance]/[Total volume] 
Mass | Weight concentration  1  Dimensionless  [Mass of substance]/[Total mass]. 
Molar mass  kg.mol-1   [Mass]/[Quantity] 
Molar density | Molarity | Molar concentration  m-3.mol   [Quantity]/[Volume]. 
Molality  kg-1.mol mol/kg  [Quantity]/[Mass]. 
Molar volume  m3.mol-1   [Volume]/[Quantity]. 
Mass flow | Mass production rate  kg.s-1   [ΔMass]/[Time]. 
Diffusion coefficient  m2.s-1   [Distance2]/[Time]. 
Katalytic activity | Molar production rate  mol.s-1 katal  [ΔQuantity]/[Time]. 
Velocity | Speed  m.s-1   [Distance]/[Time] 
Drift speed  m.s-1   Steady-state speed of an object .
Acceleration, linear  m.s-2   [ΔVelocity]/[Time] 
Gravity and gravitation 
Gravitational field intensity | Gravity  m.s-2   [Force]/[Mass], Same as acceleration. 
Gravitational field potential  m2.s-2   [Energy]/[Mass].  
Mechanics and hydrodynamics 
Moment of motion  kg.m.s-1   [Mass]*[Velocity], [Mass flow]*[Distance]. 
Force  kg.m.s-2 N  newton. [Mass]*[Acceleration]. 
Impulse  kg.m.s-1   [ΔMoment of motion], [Force]*[ΔTime], [Mass]*[ΔVelocity]. 
Moment of force | Torque  kg.m2.s-2 N.m  [Force]*[Distance]. Like energy. 
Couple  kg.m2.s-2 N.m  2*[Force]*[Distance] for two non-aligned opposing forces. 
Pressure  kg.m-1.s-2 N.m-2, Pa pascal. [Force]/[Area]. 
Pressure gradient  kg.m-2.s-2 N.m-3, Pa/m [Pressure]/[Distance]. 
Energy | Lagrangian | Hamiltonian  kg.m2.s-2 N.m, J  joule. [Force]*[Distance], [Power]*[Time]. 
Specific energy  m2.s-2 [Energy]/[Mass]. 
Molar energy  kg.m2.s-2.mol-1 J.mol-1 [Energy]/[Quantity]. 
Energy density  kg.m-1.s-2 J.m-3 [Energy]/[Volume]. 
Power | Energy flux  kg.m2.s-3 J.s-1, W  watt. [ΔEnergy]/[ΔTime]. 
Action  kg.m2.s-1 J.s  [Energy]*[Time], [Moment of motion]*[Distance] 
Angular moment of inertia  kg.m2   [Mass]*[Distance2] 
Angular moment of motion  kg.m2.s-1 J.s  [Moment of motion]*[Distance] 
Circulation  m2.s-1 [Angular moment]/[Mass], [Velocity]*[Loop length] 
Spin  1  Dimensionless  of a quantum particle 
Pressure  kg.m-1.s-2 N.m-2, Pa pascal. [Force]/[Area]. 
Pressure gradient  kg.m-2.s-2 N.m-3, Pa/m [Pressure]/[Distance]. 
Stress | Tension | Compression  kg.m-1.s-2 N.m-2, Pa (pascal) [Force]/[Area]. ... same as pressure 
Compressive strength  kg.m-1.s-2 N.m-2, Pa [Force]/[Area]. Like pressure. 
Strain (mechanical)  1  Dimensionless  [ΔLength]/[Length] Relative deformation 
Friction  kg.m.s-2 N (newton)  Tangential force between two moving surfaces. 
Traction  kg.m.s-2 N  Maximum tangential force before slipping. 
Velocity, superficial  m.s-1 m/s  In porous media; as if the space was filled only by the fluid. 
Velocity, advection  m.s-1 m/s  In porous media; actual progress along pressure gradient. 
Mean anomaly (in astronomy)  1  Dimensionless  Of an body on a Kepler orbit; t.sqrt(G(M1+M2)/r3) 
Mean motion (in astronomy)  s-1   Of an body on a Kepler orbit; sqrt(G(M1+M2)/r3) 
Wave function for N particles (quantum)  m-3N/2 tentative  |ψ|2N is a dimensionless probability element.
Mechanical and hydrodynamic properties of matter 
Compressibility | Modulus of compression  kg-1.m.s2 Pa-1 [Pressure]/([ΔVolume]/[Volume]). Inverse of bulk modulus. 
Bulk modulus  kg.m-1.s-2 N.m-2, Pa ([ΔVolume]/[Volume])/[Pressure]. Inverse of compressibility. 
Young modulus  kg.m-1.s-2 N.m-2, Pa [Stress]/[Strain]. Like shear modulus. 
Shear modulus | Modulus of rigidity  kg.m-1.s-2 N.m-2, Pa [Stress]/[Strain]. Same dimension aas Young modulus. 
Poisson's ratio  1  Dimensionless  [Transversal striction]/[Londitudinal elongation]. 
Impact | Notch resistance  kg.s-2 J.m-2 [Energy]/[Area] 
Hardness | Tensile strength  kg.m-1.s-2 N.m-2, Pa [Force]/[Area]. Like pressure. 
Stiffness (linear)  kg.s-2 N.m-1 [Force]/[Displacement]. ... of a structure. 
Stiffness (rotational)  kg.m2.s-2.rad-1 N.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-2 N/m  [Force]/[Length]. Same as surface energy. 
Surface energy  kg.s-2 J/m2 [Energy]/[Area]. Same as surface tension. 
Viscosity, dynamic  kg.m-1.s-1 Pa.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  m2 1 darcy = 10-12 m2 [Velocity]*[Viscosity]/[Pressure gradient], in porous media 
Conductivity, hydraulic  m.s-1 m/s  Used for porous media. 
Temperature  K  K  kelvin 
Temperature gradient | Thermal gradient  K.m-1   [ΔTemperature]/[Distance]. 
Heat | Internal energy | Enthalpy  kg.m2.s-2 J  Same as energy. 
Specific heat | internal energy | enthalpy  m2.s-2 [Heat]/[Mass]. 
Molar heat | internal energy | enthalpy  kg.m2.s-2.mol-1 J.mol-1 [Heat]/[Quantity]. 
Heat capacity  kg.m2.s-2.K-1 J.K-1 [ΔHeat]/[ΔTemperature]. 
Heat flux  kg.m2.s-3 J.s, W  [ΔHeat]/[ΔTime]. Same as power. 
Heat flux density | Irradiance  kg.s-3 W.m-2 [Heat flux]/[Area]. 
Entropy  kg.m2.s-2.K-1 J.K-1 [ΔHeat]/[Temperature]. 
Specific entropy  m2.s-2.K-1 [Entropy]/[Mass]. 
Molar entropy  kg.m2.s-2.K-1.mol-1 J.K-1.mol-1 [Entropy]/[Quantity]. 
Free energy | Free enthalpy  kg.m2.s-2 J  Helmholtz | Gibbs functions, respectively. 
Specific free energy | free enthalpy  m2.s-2 [Energy]/[Mass]. Also specific Helmholtz | Gibbs functions 
Molar free energy | free enthalpy  kg.m2.s-2.mol-1 J.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-1 [Heat capacity]/[Mass]. 
Heat capacity, molar  kg.m2.s-2.K-1.mol-1 J.K-1.mol-1 [Heat capacity]/[Quantity]. 
Heat of fusion | evaporation, specific  m2.s-2 [Energy]/[Mass]. 
Heat of fusion | evaporation, molar  kg.m2.s-2.mol-1 J.mol-1 [Energy]/[Quantity]. 
Heat conductivity  kg.m.s-3.K-1 W.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.K K.Pa-1 [ΔTemperature]/[ΔPressure]. 
Pi coefficient, molar  kg.m-1.s-2.mol-1 J.m-3 [ΔInternalEnergy]/[ΔVolume]. 
Chemical potential, molar  kg.m2.s-2.mol-1 J.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.s3K K/W  [ΔT]/[Power].
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 [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-1 W.A-1, J.C-1, C.F-1, V volt. [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-1 V.m-1 [ΔPotential]/[Distance]. 
Electric field gradient  kg.s-3.A-1 V.m-2 [ΔEl.field strength]/[Distance]. 
Electric flux density | Electric induction  m-2.s.A C.m-2 [Charge]/[Area]. 
Electric polarization | Electric displacement  m-2.s.A C.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-1 V.s, W.s.A-1, Wb  weber. [ΔPotential]*[Time], [Power]/[dCurrent/dt] 
Magnetic flux density | Magnetic induction  kg.s-2.A-1 Wb.m-2, T  tesla. [Mag.flux]/[Area]. 
Magnetic vector potential  kg.m.s-2.A-1 m-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-3 W.m-2 [El.field strength]/[Mag.field strength]. Same as irradiance 
Magnetic field gradient  kg.m-1.s-2.A-1 T.m-1 [ΔMagnetic flux density]/[Distance]. 
Magnetic dipole moment  m2.A J.T-1 [Current]*[Area]. Same as magnetic moment. 
Magnetic quadrupole moment  m3.A m.J.T-1 [Magnetic dipole]*[Distance] 
Gyromagnetic ratio  kg-1.s.A Hz.T-1 [Mag.moment]/[Angular moment of motion]. 
Magnetogyric ratio  kg.s-1.A-1 T.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-1 m-1.s.V, m.T Like magnetic vector potential and [El.potential]/[c] 
Relativistic electromagnetic field tensor (Fμν)  kg.s-2.A-1 T  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-2 Ω.m  [Resistance]*[Length])/[Area]. 
Conductivity  kg-1.m-3.s3.A2 S.m-1 1/[Resistivity]. 
Permittivity, electric  kg-1.m-3.s4.A2 F.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-2 N.A-2, H.m-1 [Mag.flux density]/[Mag.field strength]. 
Reluctance, magnetic  kg-1.m-1.s2.A2 m.H-1 1/[Permeability]. 
Relative permeability, magnetic  1  Dimensionless  [Permeability]/[Permeability of vacuum]. 
Susceptibility, magnetic  1  Dimensionless  [Relative permeability] - 1. 
Characteristic impedance  kg.m2.s-3.A-2 V.A-1, Ω, ohm  √([Mag.Permeability]/[El.Permittivity]). 
Electric | Dielectric strength | rigidity  kg.m.s-3.A-1 V.m-1 [ΔPotential]/[Distance]. 
Verdet constant  kg-1.m-1.s2.A1 rad.m-1.T-1 ([Angle]/[Length])/[Magnetic flux density] 
Work function  kg.m2.s-2 J, eV  [Energy] needed to remove an electron. 
Seeback coef. | Thermopower | Thermoelectric power  kg.m2.s-3.A-1.K-1 V.K-1 [ΔPotential]/[ΔTemperature]. 
Thomson coefficient  kg.m2.s-3.A-1.K-1 W.K-1.A-1 [Heat flux]/([ΔTemperature]*[Current]). 
Peltier coefficient  kg.m2.s-3.A-1 W.A-1, V [Heat flux]/[Current]. 
Piezzoelectric coefficient  kg.m.s-3.A-1 V.m-1 [El.field strength]/([ΔLength]/[Length]). 
Electrostriction coefficient  kg-2.m-2.s6.A2 m2.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-1 Hz  [ΔFrequency] 
Voltage | Electromotive force (emf)  kg.m2.s-3.A-1 V  [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-2 Ω  ohm 
Admittance, of a circuit  kg-1.m-2.s3.A2 S  siemens. 1/[Circuit impedance]. 
Resistance  kg.m2.s-3.A-2 V.A-1, Ω(ohm)  [ΔPotential]/[Current] 
Conductance  kg-1.m-2.s3.A2 A.V-1, S (siemens)  1/[Resistance]. 
Capacitance  kg-1.m-2.s4.A2 C.V-1, F  farad. [Charge]/[ΔPotential] 
Reactance, capacitive  kg.m2.s-3.A-2 Ω (ohm)  1/(i[Angular frequency].[Capacitance]) 
Susceptance, capacitive  kg-1.m-2.s3.A2 S (siemens)  1/[Reactance]. 
Inductance | Mutual inductance  kg.m2.s-2.A-2 V.s.A-1, Wb.A-1, H  henry. [ΔPotential]/[dCurrent/dt] or [Magnetic flux]/[Current] 
Impedance, inductive  kg.m2.s-3.A-2 Ω (ohm)  i[Angular frequency].[Inductance] 
Admittance, inductive  kg-1.m-2.s3.A2 S (siemens)  1/[Inductive impedance]. 
Number of turns  1    Applicable to coils, transformers, etc. 
Current noise, variance nJ2  s.A2 A2/Hz [Current]2/[Bandwidth]
Voltage noise, variance nV2  kg2.m4.s-5.A-2 V2/Hz [Voltage]2/[Bandwidth]
Albedo, of a surface  1  Dimensionless  [Reflected elmag power]/[Incident elmag power] 
Convergence  m-1 dioptry  dioptry 
Luminosity | Luminous intensity  cd  cd  candle or lumen/sr 
Luminous flux | Luminous power  lm  lumen. [Luminosity]*[Solid angle]. 
Luminance  cd.m-2   [Luminosity]/[Area] 
Luminous energy  lm.s  [Luminous flux]*[Time]. Also known as talbot 
Illuminance lm.m-2, lx  lux. [Luminous flux]/[Area]. 
Luminous emittance lm.m-2, lx  lux. Same as illuminance, but for sources 
Luminous efficacy lm/W  [Luminous flux]/[Power] 
Luminous efficiency | Luminous coefficient  1  Dimensionless  [Luminous efficacy]/[683 lm/W]. 
Irradiance  kg.s-3 W.m-2 [Power]/[Area]. For all kinds of energy deposition 
Radiance ([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   [(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. 
Abbé number | Constringence | V-number  1  Dimensionless  VD = (nD-1)/(nF-nC). 
Star magnitude (astronomy)  1  Dimensionless  m-m'= -100.4(S/S'). S,S' are luminous fluxes of two stars 
Chemistry, physical chemistry, atomic and molecular physics 
Concentration | Molar density | Molarity  m-3.mol   [Quantity]/[Volume]. Also called Density of substance 
Molality  kg-1.mol mol/kg  [Quantity]/[Mass]. 
Katalytic activity | Molar production rate  mol.s-1 katal  [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.A m2.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-2 Pa  Effective pressure in real gases. 
Osmotic pressure  kg.m-1.s-2 Pa  
Thermodynamic force  kg.m.s-2.mol-1 N/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-1 J.mol-1 Energy released when binding an electron. 
Chemico-physical properties of matter 
Ionization energy, molar  kg.m2.s-2.mol-1 J.mol-1 Energy to ionize a molecule/atom. 
Molar volume  m3.mol-1   [Volume]/[Quantity]. 
Chemical potential, molar  kg.m2.s-2.mol-1 J.mol-1 [ΔInternalEnergy]/[ΔQuantity]. 
Solubility, molar  m-3.mol   [Quantity]/[Volume]. 
Reduction | Redox potential  kg.m2.s-3.A-1 V (volt)   
Molar conductivity  kg-1.s3.A2.mol-1 S.m2.mol-1 [El.conductivity]/[Concentration]. 
Molar relaxivity  m3.s-1.mol-1   [Relaxation rate]/[Concentration]. 
Ebullioscopic constant  kg.mol-1.K K/(mol/kg)  [ΔTemperature]/[Molality]. 
Cryoscopic constant  kg.mol-1.K K/(mol/kg)  [ΔTemperature]/[Molality]. 
van der Waals constant: a  kg.m5.s-2 Pa.m6 a in (p+a/V2)(V-b)=RT.
van der Waals constant: b  m3   b in (p+a/V2)(V-b)=RT.
van der Waals virial constant: A  kg-1.m5.s-2.mol-2   A in p=(n/V)RT+(n/V)2(RTB-A).
van der Waals virial constant: B  kg-1.m3.mol-1   B in p=(n/V)RT+(n/V)2(RTB-A).
Virial coefficient: second  kg.m5.s-2.mol-2 Pa.(mol.m-3)-2 A in p=(n/V)RT+A(n/V)2+B(n/V)3+C(n/V)4.
Virial coefficient: third  kg.m8.s-2.mol-3 Pa.(mol.m-3)-3 B in p=(n/V)RT+A(n/V)2+B(n/V)3+C(n/V)4.
Virial coefficient: fourth  kg.m11.s-2.mol-4 Pa.(mol.m-3)-4 C in p=(n/V)RT+A(n/V)2+B(n/V)3+C(n/V)4.
Heat of fusion | evaporation, molar  kg.m2.s-2.mol-1 J.mol-1 [Energy]/[Quantity]. 
Radiation and radioactivity. 
Irradiance  kg.s-3 W.m-2 [Power]/[Area]. For all kinds of energy deposition. 
Activity | Radioactivity  s-1 Bq  bequerel. [Events]/[Time]. 
Absorbed dose  m2.s-2, Gy  gray. [Energy]/[Mass]. 
Absorbed dose rate  m2.s-3 Gy.s-1 [Absorbed dose]/[Time]. 
Absorbed dose equivalent  m2.s-2, Sv  sievert. [const].[Energy]/[Mass]. 
Exposure  kg-1.s.A [Charge]/[Mass]. For ionising radiations. 
Radiation properties of matter 
Half life  s    typically of a radioactive substance 
Information  bit-1 bit  bit; the elementary information quantum. 
Baud rate | Information flux  bit.s-1 Baud  baud. [Information]/[Time]. 
Derivative with respect to time  s-1   d/dt, ∂/∂t 
Multiple derivatives with respect to time  s-p   dp/dtp, ∂p/∂tp; for p = 1,2,3,... 
Derivative with respect to a length  m-1   d/dr, ∂/∂r, r = x | y | z 
Multiple derivatives with respect to a length  m-p   dp/drp, ∂p/∂rp; for p = 1,2,3,..., r = x | y | z 
Nabla ( ∇ ) | div | grad | rot | curl  m-1   Any derivative-like construct with respect to a distance. 
Laplace operator | Laplacian m-2   2 = ∂2/∂x2 + ∂2/∂y2 + ∂2/∂z2 
D'Allembert operator | D'Allembertian  m-2   (1/c2)2/∂t2 - ∂2/∂x2 - ∂2/∂y2 - ∂2/∂z2 

- bold magenta symbols in the alternatives column indicate quantities defined by the SI system.
- square brackets stand for dimension of the quantity they enclose.
- abbreviations El. and Mag. stand for Electric and Magnetic, respectively.
- [Quantity] stands for [Quantity of substance].
- Names of units are written with small first letter, even when derived from names of persons.

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Copyright ©2005 Stanislav Sýkora. Stan's Library ISSN 2421-1230, DOI: 10.3247/SL1Phys06.004 Designed by Stan Sýkora