SI Dimensions of Physical Quantities:
Alphabetic List
compiled by Stanislav Sýkora, Extra Byte, Via R.Sanzio 22C, Castano Primo, Italy 20022
in Stan's Library, Ed.S.Sykora, Vol.I. First release February 28, 2005.
Permalink via DOI:  10.3247/SL1Phys06.003
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Quantity Dimension Alternatives Definition/Notes
A:
Acceleration, angular  s-2 rad.s-2 [ΔAngularVelocity]/[Time] 
Abbé number  1  Dimensionless  Inverse of refractive index. 
Absorbed radiation dose  m2.s-2 J.kg-1, Gy (gray)  [Energy]/[Mass] 
Absorbed dose rate  m2.s-3 Gy.s-1 [Absorbed dose]/[Time] 
Acceleration, linear  m.s-2   [ΔVelocity]/[Time] 
Action  kg.m2.s-1 J.s  [Energy]*[Time], [Moment of motion]*[Distance] 
Activity of radioactive source  s-1 Bq (becquerel)  [Events]/[Time] 
Admittance, inductive  kg-1.m-2.s3.A2 S (siemens)  1/[Inductive impedance]. 
Admittance, of a circuit  kg-1.m-2.s3.A2 S (siemens)  1/[Circuit impedance]. 
Albedo, of a surface  1  Dimensionless  [Reflected elmag power]/[Incident elmag power] 
Angular acceleration  s-2 rad.s-2 [ΔAngularVelocity]/[Time] 
Angular moment of inertia  kg.m2   [Mass]*[Distance2] 
Angular moment of motion  kg.m2.s-1 J.s  [Moment of motion]*[Distance]. Like [action]. 
Angular velocity  s-1 rad.s-1 [Plane angle]/[Time] 
Annealing point  K    Temperature at which viscosity drops below 1012 Pa.s 
Area  m2   [Distance]*[Distance] 
Attenuation  m-1 dB/m  [Ratio]/m. Applies to propagation. 
B:
Bandwidth  s-1 Hz  [ΔFrequency] 
Baud rate  bit.s-1 baud  [Information]/[Time]. Also: information flux. 
Bulk modulus  kg-1.m.s2 Pa-1 [Pressure]/([ΔVolume]/[Volume]). Same as compressibility .
C:
Capacitance, electric  kg-1.m-2.s4.A2 C.V-1, F (farad)  [Charge]/[ΔPotential] 
Capacitive reactance  kg.m2.s-3.A-2 Ω (ohm)  1/(i[Angular frequency].[Capacitance]) 
Capacitive susceptance  kg-1.m-2.s3.A2 S (siemens)  1/[Capacitive reactance]. 
Circulation  m2.s-1 J.s.kg-1 [Angular moment]/[Mass], [Velocity]*[Loop length] 
Characteristic impedance  kg.m2.s-3.A-2 V.A-1, Ω, ohm  √([Mag.Permeability]/[El.Permittivity]) 
Charge, electric  s .A C (coulomb)  [Current]*[Time] 
Charge, quantum  1  Dimensionless  [Charge]/[Elementary charge quantum] 
Charge, molecular/ionic, quantum  1  Dimensionless  [Charge of a molecule or ion]/[Elementary charge quantum] 
Charge density  m-3.s.A  C.m-3 [Charge]/[Volume] 
Charge/mass ratio  kg-1.s.A  C.kg-1 [Charge]/[Mass]. Same as specific charge 
Charge, molar  s.A.mol-1  C.mol-1 [Charge]/[Quantity] 
Chemical potential, molar  kg.m2.s-2.mol-1 J.mol-1 [ΔInternalEnergy]/[ΔQuantityOfSubstance] 
Circuit admittance  kg-1.m-2.s3.A2 S (siemens)  1/[Circuit impedance]. 
Circuit impedance  kg.m2.s-3.A-2 Ω (ohm)   
Collision cross section  m2   [Distance]*[Distance]. Same as cross section 
Compressibility  kg-1.m.s2 Pa-1 [Pressure]/([ΔVolume]/[Volume]). Same as bulk modulus .
Compression  kg.m-1.s-2 N.m-2, Pa (pascal) [Force]/[Area]. ... same as pressure 
Compression modulus  kg-1.m.s2 Pa-1 [Pressure]/([ΔVolume]/[Volume]). Same as compressibility .
Compressive strength  kg.m-1.s-2 N.m-2, Pa [Force]/[Area]. Same dimension as pressure. 
Concentration, molar  m-3.mol   [Quantity]/[Volume]. Same as molar density. 
Concentration, by mass  1  Dimensionless  [Mass of substance]/[Total mass]. Same as mass concentration 
Concentration, by volume  1  Dimensionless  [Volume of substance]/[Total volume]. Same as volume concentration .
Concentration, by weight  1  Dimensionless  [Mass of substance]/[Total mass]. Same as mass concentration 
Conductance, electric  kg-1.m-2.s3.A2 A.V-1, S (siemens)  1/[Resistance]. 
Conductivity, electric  kg-1.m-3.s3.A2 S.m-1 1/[Resistivity] 
Conductivity, molar  kg-1.s3.A2.mol-1 S.m2.mol-1 [El.conductivity]/[Concentration] 
Conductivity, thermal  kg.m.s-3.K-1 W.m-1.K-1 [Heat flux]/([Distance]*[ΔTemperature]) 
Constringence  1  Dimensionless  [Transversal striction]/[Londitudinal elongation]. 
Convergence  m-1 dioptry  in optics, but not only ... 
Count of events/instances  1    This covers all kinds of enumerations. 
Count rate  s-1   [Events]/[Time] 
Couple  kg.m2.s-2 N.m  2*[Force]*[Distance] for two non-aligned opposing forces. 
Critical angle of repose  rad  or degree  Steepest angle of a slope before a slide 
Cross section  m2   [Distance]*[Distance] 
Cryoscopic constant  kg.mol-1.K K/(mol/kg)  [ΔTemperature]/[Molality] 
Current, electric  A  A (ampere)   
Current density (electric)  m-2.A   [Current]/[Area]. Same as current intensity. 
Current intensity (electric)  m-2.A   [Current]/[Area]. Same as current density. 
Current noise, variance nJ2  s.A2 A2/Hz [Current]2/[Bandwidth]
Curvature radius  m    of a line in plane/space or surface in space 
D:
Density of electric charge  m-3.s.A  C.m-3 [Charge]/[Volume] 
Density of electric current  m-2.A   [Current]/[Area]. Same as current intensity. 
Density of energy  kg.m-1.s-2 J.m-3 [Energy]/[Volume]. 
Density of mass  kg.m-3   [Mass]/[Volume]. Same as specific density. 
Density of substance  m-3.mol   [Quantity]/[Volume]. Same as concentration. 
Dielectric constant  1  Dimensionless  [Permittivity]/[Permittivity of vacuum]. Same as relative permittivity 
Dielectric strength/rigidity  kg.m.s-3.A-1 V.m-1 [ΔPotential]/[Distance]. Same as electric strength 
Diffusion coefficient  m2.s-1   [Distance2]/[Time]. 
Diffusivity, thermal  m2.s-1   ([∂Temperatute]/[∂Time])/[∇2Temperature].
Dipole moment, electric  m.s.A  C.m  [Charge]*[Distance] 
Dipole moment, magnetic  m2.A J.T-1 [Current]*[Area] 
Dispersive power  1  Dimensionless  Ratio of differences of refractive indices. 
Dispersivity quotient  m-1   [ΔRefractive index]/[ΔWavelength] 
Distance  m    in all Euclidean n-dimensional spaces. 
Dose of absorbed radiation  m2.s-2 J.kg-1, Gy (gray)  [Energy]/[Mass]. 
Dose rate  m2.s-3 Gy.s-1 [Absorbed dose]/[Time]. 
Drift speed  m.s-1   Steady-state speed of an object. .
Duration  s  s (second)   
Dynamic viscosity  kg.m-1.s-1 Pa.s  ([Force]/[Area])/[ΔVelocity] 
E:
Ebullioscopic constant  kg.mol-1.K K/(mol/kg)  [ΔTemperature]/[Molality]. 
Electric capacitance  kg-1.m-2.s4.A2 C.V-1, F (farad)  [Charge]/[ΔPotential] 
Electric charge  s .A C (coulomb)  [Current]*[Time] 
Electric conductance  kg-1.m-2.s3.A2 A.V-1, S (siemens)  [Current]/[ΔPotential]. Inverse of resistance. 
Electric conductivity  kg-1.m-3.s3.A2 S.m-1 1/[Resistivity]. 
Electric conductivity, molar  kg-1.s3.A2.mol-1 S.m2.mol-1 [El.conductivity]/[Concentration]. 
Electric current  A  A (ampere)   
Electric dipole moment  m.s.A  C.m  [Charge]*[Distance] 
Electric field strength  kg.m.s-3.A-1 V.m-1 [ΔPotential]/[Distance]. Also called electric intensity 
Electric field gradient  kg.s-3.A-1 V.m-2 [ΔEl.field strength]/[Distance]. 
Electric flux density  m-2.s.A C.m-2 [Charge]/[Area]. Also called electric induction 
Electric inductance  kg.m2.s-2.A-2 V.s.A-1, H (henry)  [ΔPotential]/[dCurrent/dt] 
Electric induction  m-2.s.A C.m-2 [Charge]/[Area]. More properly electric flux density 
Electric intensity  kg.m.s-3.A-1 V.m-1 [ΔPotential]/[Distance]. More properly electric field strength 
Electric permittivity  kg-1.m-3.s4.A2 F.m-1 [El.flux density]/[El.field strength]. 
Electric permittivity, relative  1  Dimensionless  [Permittivity]/[Permittivity of vacuum]. Same as dielectric constant 
Electric polarization  m-2.s.A C.m-2 [Charge]/[Area]. Like electric flux density 
Electric potential  kg.m2.s-3.A-1 W.A-1, J.C-1, V (volt)  [Power]/[Current], [Energy]/[Charge] 
Electric quadrupole moment  m2.s.A  C.m2 [Electric dipole]*[Distance], [Electric charge]*[Distance2] 
Electric resistance  kg.m2.s-3.A-2 V.A-1, Ω (ohm)  [ΔPotential]/[Current] 
Electric resistivity  kg.m3.s-3.A-2 Ω.m  ([Resistance]*[Length])/[Area]. 
Electric strength  kg.m.s-3.A-1 V.m-1 [ΔPotential]/[Distance]. Also called dielectric strength .
Electromagnetic vector potential  kg.m.s-2.A-1 V.s.m-1, T.m [El.field strength]*[Time] or [Mag.flux density]*[Distance] 
Electromotive force (emf)  kg.m2.s-3.A-1 V  [ΔPotential] 
Electrostriction coefficient  kg-2.m-2.s6.A2 m2.V-2 ([ΔVolume]/[Volume])/[Electric field strength]2. 
Emittance, luminous  cd.sr.m-2 lm.m-2, lx (lux)  [Luminous flux]/[Area]. Same as luminous exitance 
Energy  kg.m2.s-2 N.m, J (joule)  [Force]*[Distance], [Power]*[Time]. 
Energy, molar  kg.m2.s-2.mol-1 J.mol-1 [Energy]/[Quantity]. 
Energy, specific  m2.s-2 J.kg-1 [Energy]/[Mass]. 
Energy density  kg.m-1.s-2 J.m-3 [Energy]/[Volume]. 
Energy flux  kg.m2.s-3 J.s-1, W (watt)  [ΔEnergy]/[ΔTime]. Same as power. 
Enthalpy  kg.m2.s-2 J  Like energy and heat. 
Enthalpy, molar  kg.m2.s-2.mol-1 J.mol-1 [Enthalpy]/[Quantity]. Like molar heat. 
Enthalpy, specific  m2.s-2 J.kg-1 [Enthalpy]/[Mass]. Like specific heat. 
Entropy  kg.m2.s-2.K-1 J.K-1 [ΔHeat]/[Temperature]. 
Entropy, molar  kg.m2.s-2.K-1.mol-1 J.K-1.mol-1 [Entropy]/[Quantity]. 
Entropy, specific  m2.s-2.K-1 J.K-1.kg-1 [Entropy]/[Mass]. 
Evolution rate on log-scale  s-1   d{ln(Q)}/dt = (dQ/dt)/Q. Also relative evolution rate 
Expansion coefficient, thermal  K-1   ([ΔLength]/[Length])/[Temperature]. 
Exposure  kg-1.s.A C.kg-1 [Charge]/[Mass]. Used for ionising radiations. 
Extinction coefficient  m-1 dB/m  Used for propagation of radiation. 
F:
Fire point  K    Temperature at which ignited vapour keeps burning 
Flash point  K    Temperature at which vapour can be kept burning 
Force  kg.m.s-2 N (newton)  [Mass]*[Acceleration]. 
Force, thermodynamic  kg.m.s-2.mol-1 N/mol  [ΔChemical potential]/[Distance]. 
Free energy  kg.m2.s-2 J  Also Helmholtz function. Like energy. 
Free energy, molar  kg.m2.s-2.mol-1 J.mol-1 [Free energy]/[Quantity]. Also molar Helmholtz function 
Free energy, specific  m2.s-2 J.kg-1 [Free energy]/[Mass]. Also specific Helmholtz function 
Free enthalpy  kg.m2.s-2 J  Also Gibbs function. Like energy. 
Free enthalpy, molar  kg.m2.s-2.mol-1 J.mol-1 [Free enthalpy]/[Quantity]. Also molar Gibbs function 
Free enthalpy, specific  m2.s-2 J.kg-1 [Free enthalpy]/[Mass]. Also specific Gibbs function 
Frequency of waves or events  s-1 Hz (hertz)   
Frequency drift rate  s-2 Hz.s-1 [ΔFrequency]/[Time]. 
Friction  kg.m.s-2 N (newton)  Tangential force between two moving surfaces. 
Friction coefficient  1  Dimensionless  [Tangential force]/[Normal force]. 
Fugacity  kg.m-1.s-2 Pa  Effective pressure in real gases. 
G:
Gain of a device  1  Dimensionless  [Output]/[Input], like-quantities ratio. Often in dB. 
g-factor of a particle  1  Dimensionless  [Magnetic moment]/([Spin].[Bohr magneton]) 
Gradient, of electric field  kg.s-3.A-1 V.m-2 [ΔEl.field strength]/[Distance]. 
Gradient, of magnetic field  kg.m-1.s-2.A-1 T.m-1 [ΔMag.flux density]/[Distance]. 
Gradient, thermal  K.m-1   [ΔTemperature]/[Distance]. Same as temperature gradient 
Gravitational field intensity  m.s-2   [Force]/[Mass], [Acceleration]. Same as gravity 
Gravitational field potential  m2.s-2   [Energy]/[Mass].  
Gravity  m.s-2   [Force]/[Mass], [Acceleration]. Same as grav. field intensity 
Gyromagnetic ratio  kg-1.s.A Hz.T-1 [Mag.moment]/[Angular moment of motion]. 
H:
Half life  s    typically of a radioactive substance 
Hamiltonian  kg.m2.s-2 J  [Force]*[Distance], [Power]*[Time]. Like energy 
Hardness  kg.m-1.s-2 N.m-2 [Force]/[Area]. Same as pressure. 
Heat  kg.m2.s-2 J  Like energy. 
Heat, molar  kg.m2.s-2.mol-1 J.mol-1 [Heat]/[Quantity]. 
Heat, specific  m2.s-2 J.kg-1 [Heat]/[Mass]. 
Heat capacity  kg.m2.s-2.K-1 J.K-1 [ΔHeat]/[ΔTemperature]. 
Heat capacity, molar  kg.m2.s-2.K-1.mol-1 J.K-1.mol-1 [Heat capacity]/[Quantity]. 
Heat capacity, specific  m2.s-2.K-1 J.K-1.kg-1 [Heat capacity]/[Mass]. 
Heat | Thermal conductivity  kg.m.s-3.K-1 W.m-1.K-1 [Heat flux]/([Distance]*[ΔTemperature]). 
Heat flux  kg.m2.s-3 J.s, W  [ΔHeat]/[ΔTime]. Like power. 
Heat flux density  kg.s-3 W.m-2 [Heat flux]/[Area]. Same as irradiance. 
I:
Illuminance  cd.sr.m-2 lm.m-2, lx (lux)  [Luminous flux]/[Area]. 
Impact resistance  kg.s-2 J.m-2 [Energy]/[Area] 
Impedance, characteristic  kg.m2.s-3.A-2 V.A-1, Ω, ohm  √([Mag.Permeability]/[El.Permittivity]). 
Impedance, inductive  kg.m2.s-3.A-2 Ω (ohm)  i[Angular frequency].[Inductance] 
Impedance, of a circuit  kg.m2.s-3.A-2 Ω (ohm)   
Impulse  kg.m.s-1   [ΔMoment of motion], [Force]*[ΔTime], [Mass]*[ΔVelocity]. 
Inductance  kg.m2.s-2.A-2 V.s.A-1, Wb.A-1, H (henry)  [ΔPotential]/[dCurrent/dt], [Mag.flux]/[Current] 
Induction, electric  m-2.s.A C.m-2 [Charge]/[Area]. Same as electric flux density 
Inductive admittance  kg-1.m-2.s3.A2 S (siemens)  1/[Inductive impedance]. 
Inductive impedance  kg.m2.s-3.A-2 Ω (ohm)  i[Angular frequency].[Inductance] 
Information  bit-1 bit  One bit is the elementary information quantum. 
Information flux  bit.s-1 baud  [Information]/[Time]. Also called baud rate. 
Intensity of electric current  m-2.A   [Current]/[Area]. Same as current density. 
Internal energy  kg.m2.s-2 J  Like energy and heat. 
Internal energy, molar  kg.m2.s-2.mol-1 J.mol-1 [Internal energy]/[Quantity]. Like molar heat. 
Internal energy, specific  m2.s-2 J.kg-1 [Internal energy]/[Mass]. Like specific heat. 
Ion mobility  kg-1.m-1.s2.A m2.s-1.V-1  [Velocity]/[Electric field strength] .
Ionic force (strength)  m-3.mol   Sum([Concentration]*[Ionic quantum charge]2).
Ionic quantum charge  1  Dimensionless  [Ion charge]/[Elementary charge quantum] 
Ionic strength (force)  m-3.mol   Sum([Concentration]*[Ionic quantum charge]2).
Irradiance  kg.s-3 W.m-2 [Heat flux]/[Area]. Same as heat flux density 
J:
Joule-Thomson coefficient  kg-1.m.s2.K K.Pa-1 [ΔTemperature]/[ΔPressure]. 
K:
Katalytic activity  mol.s-1 katal  [ΔQuantity]/[Time]. Same as molar production rate 
Kinematic viscosity  m2.s-1   [Dynamic viscosity]/[Density] 
K-space vector  m-1   same as reciprocal space position. 
L:
Lagrangian  kg.m2.s-2 J  [Force]*[Distance], [Power]*[Time]. Like energy 
Length  m  m (meter)   
Linear stiffness  kg.s-2 N.m-1 [Force]/[Displacement]. ... of a structure 
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. 
Logarithmic ratio Log(P/P')/10  1  dB (decibel)  Uses base-10 logarithm. Aplies only to power P.
Logarithmic ratio Log(X/X')/20  1  dB (decibel)  Aplies to voltages (X=V) and currents (X=I). 
Logarithmic scale differential  1  Dimensionless  dQ/Q, d{ln(Q)}, for any quantity Q. Also relative differential 
Luminance  cd.m-2   [Luminosity]/[Area] 
Luminosity  cd  cd (candle)  Same as luminous intensity 
Luminous coefficient  1  Dimensionless  [Luminous efficacy]/[683 lm/W]. Same as luminous efficiency 
Luminous efficacy  cd.sr.kg-1.m-1.s3 lm/W  [Luminous flux]/[Power] 
Luminous efficiency  1  Dimensionless  [Luminous efficacy]/[683 lm/W]. Same as luminous coefficient 
Luminous emittance  cd.sr.m-2 lm.m-2, lx (lux)  [Luminous flux]/[Area]. Same as luminous exitance 
Luminous energy  cd.sr.s  lm.s  [Luminous flux]*[Time]. Also known as talbot 
Luminous flux  cd.sr  lm (lumen)  [Luminosity]*[Solid angle]. Same as luminous power 
Luminous intensity  cd  cd (candle)  Same as luminosity 
Luminous power  cd.sr  lm (lumen)  [Luminosity]*[Solid angle]. Same as luminous flux 
M:
Magnetic dipole moment  m2.A J.T-1 [Current]*[Area]. Same as magnetic moment. 
Magnetic field gradient  kg.m-1.s-2.A-1 T.m-1 [ΔMag.flux density]/[Distance]. 
Magnetic field strength  m-1.A   [Current]/[Distance]. Also called magnetic intensity 
Magnetic flux  kg.m2.s-2.A-1 V.s, W.s.A-1, Wb (weber)  [ΔPotential]*[Time], [Power]/[dCurrent/dt] 
Magnetic flux density  kg.s-2.A-1 Wb.m-2, T (tesla)  [Mag.flux]/[Area]. Also called magnetic induction 
Magnetic induction  kg.s-2.A-1 Wb.m-2, T (tesla)  [Mag.flux]/[Area]. More properly magnetic flux density 
Magnetic intensity  m-1.A   [Current]/[Distance]. More properly magnetic field strength 
Magnetic moment  m2.A J.T-1 [Current]*[Area] 
Magnetic permeability  kg.m.s-2.A-2 H.m-1 [Mag.flux density]/[Mag.field strength]. 
Magnetic permeability, relative  1  Dimensionless  [Permeability]/[Permeability of vacuum]. 
Magnetic quadrupole moment  m3.A m.J.T-1 [Mag.dipole]*[Distance] 
Magnetic susceptibility  1  Dimensionless  [Relative permeability]-1. 
Magnetization  m-1.A   [Mag.moment]/[Volume]. Like magnetic field strength 
Magnetogyric ratio  kg.s-1.A-1 T.Hz-1 [Angular moment of motion]/[Mag.moment]. 
Magnetomotive force (mmf)  A    [Current]*[Number of turns] 
Magnitude of a star  1  Dimensionless  m-m'=-100.4(S/S'), where S,S' are the luminous fluxes of two stars 
Mass  kg  kg (kilogram)   
Mass density  kg.m-3   [Mass]/[Volume]. Same as specific density. 
Mass concentration  1  Dimensionless  [Mass of substance]/[Total mass]. Also concentration by weight 
Mass flow  kg.s-1 kg  [ΔMass]/[Time]. Same as mass production rate 
Mass production rate  kg.s-1   [ΔMass]/[Time]. Same as mass flow. 
Mass, molar  kg.mol-1   [Mass]/[Quantity] 
Mean anomaly  1  Dimensionless  Of an body on a Kepler orbit; t.sqrt(G(M1+M2)/r3) 
Mean motion  s-1   Of an body on a Kepler orbit; sqrt(G(M1+M2)/r3) 
Modulus of compression  kg-1.m.s2 Pa-1 [Pressure]/([ΔVolume]/[Volume]). Same as compressibility 3
Modulus of rigidity  kg.m.s-2 N, N.rad-1 [Force]/[ΔAngle]. Same as shear modulus. 
Mobility, ionic  kg-1.m-1.s2.A m2.s-1.V-1  [Velocity]/[Electric field strength] .
Molality  kg-1.mol mol/kg  [Quantity]/[Mass]. A way to specify concentration of a solution. 
Molar charge  s.A.mol-1  C.mol-1 [Charge]/[Quantity] 
Molar concentration  m-3.mol   [Quantity]/[Volume]. Same as concentration 
Molar conductivity, electric  kg-1.m-3.s3.A2.mol-1 S.m-1.mol-1 [El.conductivity]/[Concentration]. 
Molar density  m-3.mol   [Quantity]/[Volume]. Same as concentration. 
Molar energy  kg.m2.s-2.mol-1 J.mol-1 [Energy]/[Quantity]. 
Molar enthalpy  kg.m2.s-2.mol-1 J.mol-1 [Enthalpy]/[Quantity]. Like molar heat. 
Molar entropy  kg.m2.s-2.K-1.mol-1 J.K-1.mol-1 [Entropy]/[Quantity]. 
Molar free energy  kg.m2.s-2.mol-1 J.mol-1 [Free energy]/[Quantity]. Also molar Helmholtz function 
Molar free enthalpy  kg.m2.s-2.mol-1 J.mol-1 [Free enthalpy]/[Quantity]. Also molar Gibbs function 
Molar heat  kg.m2.s-2.mol-1 J.mol-1 [Heat]/[Quantity]. 
Molar heat capacity  kg.m2.s-2.K-1.mol-1 J.K-1.mol-1 [Heat capacity]/[Quantity]. 
Molar internal energy  kg.m2.s-2.mol-1 J.mol-1 [Internal energy]/[Quantity]. Like molar heat. 
Molar mass  kg.mol-1   [Mass]/[Quantity] 
Molar production rate  mol.s-1 katal  [ΔQuantity]/[Time]. Like katalytic activity. 
Molar refractivity  m3.mol-1   [(r2-1)/(r2+2)]/[Concentration], where r is the refractive index 
Molar relaxivity  m3.s-1.mol-1   [Relaxation rate]/[Concentration]. 
Molar solubility  m-3.mol   [Quantity]/[Volume]. Same as concentration 
Molar volume  m3.mol-1   [Volume]/[Quantity]. 
Molarity  m-3.mol   [Quantity]/[Volume]. Same as concentration or molar density 
Molecular quantum charge  1  Dimensionless  [Charge of a molecule]/[Elementary charge quantum] 
Moment of force  kg.m2.s-2 N.m  [Force]*[Distance]. 
Moment of motion  kg.m.s-1   [Mass]*[Velocity], [Mass flow]*[Distance]. 
Mutual inductance  kg.m2.s-2.A-2 V.s.A-1, Wb.A-1, H (henry)  [ΔPotential]/[dCurrent/dt], [Mag.flux]/[Current] 
N:
Notch resistance  kg.s-2 J.m-2 [Energy]/[Area] 
Number density  m-3   [Particles]/[Volume]. 
Number density, molar  mol-1   [Particles]/[Mol]. The Avogadro constant. 
Number of events/instances  1    This covers all kinds of enumerations. 
Number of turns  1    Often used in electric engineering. 
O:
Osmotic pressure  kg.m-1.s-2 Pa  
P:
Peltier coefficient  kg.m2.s-3.A-1 W.A-1, V [Heat flux]/[Current]. 
Permeability, magnetic  kg.m.s-2.A-2 H.m-1 [Mag.flux density]/[Mag.field strength]. 
Permittivity, electric  kg-1.m-3.s4.A2 F.m-1 [El.flux density]/[El.field strength]. 
Permittivity, relative  1  Dimensionless  [Permittivity]/[Permittivity of vacuum]. Dielectric constant. 
Phase angle  1  rad  φ in exp(i(ωt+φ)) 
Phase drift rate  s-1 rad.s-1 [Phase angle]/[Time]. 
Pi coefficient, molar  kg.m-1.s-2.mol-1 J.m-3 [ΔInternalEnergy]/[ΔVolume]. 
Piezzoelectric coefficient  kg.m.s-3.A-1 V.m-1 [Electric field strength]/([ΔLength]/[Length]). 
Plane angle  1  rad   
Polarization, electric  m-2.s.A C.m-2 [Charge]/[Area]. Like electric flux density. 
Position vector  m    in all Euclidean n-dimensional spaces. 
Potential, electric  kg.m2.s-3.A-1 W.A-1, J.C-1, V (volt)  [Power]/[Current], [Energy]/[Charge] 
Power  kg.m2.s-3 J.s-1, W (watt)  [ΔEnergy]/[ΔTime]. Equivalent to energy flux. 
Prandtl number  1  Dimensionless  [Kinematic viscosity]/[Thermal diffusivity]. 
Propagation loss  m-1 dB/m  [Ratio]/m. Used for any other quantity. 
Poynting vector  kg.s-3 W.m-2 [El.field strength]/[Mag.field strength]. Like irradiance 
Pressure  kg.m-1.s-2 N.m-2, Pa (pascal) [Force]/[Area]. 
Probability of an event  1    Real number lying in the interval [0,1]. 
Probability density on ln-scale  1  Np-1 [Probability]/[Natural-logarithmic ratio] 
Q:
Quadrupole moment, electric  m2.s.A  C.m2 [Electric dipole]*[Distance], [Electric charge]*[Distance2] 
Quadrupole moment, magnetic  m3.A m.J.T-1 [Mag.dipole]*[Distance] 
Quantity of substance  mol  mol   
Quantum charge  1  Dimensionless  [Charge]/[Elementary charge quantum] 
Quantum charge, molecular or ionic  1  Dimensionless  [Molecule/ion charge]/[Charge quantum] 
Quotient of dispersivity  m-1   [ΔRefractive index]/[ΔWavelength] 
R:
Radiance  kg.s-3.sr-1 W.m-2.sr-1 ([Power]/[Area])/[Solid angle]. 
Radiation dose  m2.s-2 J.kg-1, Gy (gray)  [Energy]/[Mass]. 
Radiation dose rate  m2.s-3 Gy.s-1 [Absorbed dose]/[Time]. 
Radioactivity  s-1 Bq (becquerel)  [Events]/[Time]. 
Radius of curvature  m    of a line in plane/space or surface in space 
Rotational stiffness  kg.m2.s-2.rad-1 N.m.rad-1 [Moment of force]/[Angle]. ... of a structure. 
Ratio of like quantities  1  Dimensionless  Q1/Q2, with Q1 and Q2 having the same dimension 
Reactance, capacitive  kg.m2.s-3.A-2 Ω (ohm)  1/(i[Angular frequency].[Capacitance]) 
Reciprocal space position  m-1   same as k-space vector. 
Redox potential  kg.m2.s-3.A-1 V (volt)  Same as reduction potential. 
Reduction potential  kg.m2.s-3.A-1 V (volt)  Same as redox potential. 
Refractive index  1  Dimensionless  Light speeds ration (in a medium)/(in vacuum). 
Refractivity, molar  m3.mol-1   [(r2-1)/(r2+2)]/[Concentration] 
Refractivity, specific  m3.kg-1   [(r2-1)/(r2+2)]/[Specific density], 
Relative differential  1  Dimensionless  dQ/Q, d{ln(Q)}, for any quantity Q. Also log-scale differential 
Relative evolution rate  s-1   d{ln(Q)}/dt = (dQ/dt)/Q. Also evolution rate on log-scale 
Relative permeability, magnetic  1  Dimensionless  [Permeability]/[Permeability of vacuum]. 
Relative permittivity, electric  1  Dimensionless  [Permittivity]/[Permittivity of vacuum]. Dielectric constant. 
Relative variation  1  Dimensionless  ΔQ/Q, for any quantity Q. 
Relaxation rate  s-1   1/[Relaxation time]. Used in all branches of Science. 
Relaxation time  s    Used in all branches of Science. 
Relaxivity, molar  m3.s-1.mol-1   [Relaxation rate]/[Concentration]. 
Reluctance, magnetic  kg-1.m-1.s2.A2 m.H-1 1/[Permeability]. 
Resistance, electric  kg.m2.s-3.A-2 V.A-1, Ω (ohm)  [ΔPotential]/[Current] 
Resistance, thermal  kg-1.m-2.s3K K/W  of a device. [ΔT]/[Power].
Resistance to impact  kg.s-2 J.m-2 [Energy]/[Area]. Same dimension as notch resistance 
Resistivity, electric  kg.m3.s-3.A-2 Ω.m  ([Resistance]*[Length])/[Area]. 
Reynolds number  1  Dimensionless  [Velocity]*[length]/[Kinematic viscosity] 
RF attenuation  m-1 dB/m  [Ratio]/m. Applies to propagation. 
S:
Seeback coefficient  kg.m2.s-3.A-1.K-1 V.K-1 [ΔPotential]/[ΔTemperature]. Same as thermoelectric power 
Self-diffusion coefficient  m2.s-1   [Distance2]/[Time]. 
Settling rate  s-1 typically dB/s  [Ratio]/[ΔTime]. 
Shear modulus  kg.m.s-2 N, N.rad-1 [Force]/[ΔAngle]. Same as modulus of rigidity 
Softening point  K    Temperature at which hardness drops below a level. 
Solid angle  1  sr (steradian)   
Solubility, molar  m-3.mol   [Quantity]/[Volume]. Same as concentration 
Sonic attenuation  m-1 dB/m  [Power ratio]/m. Applies to propagation. 
Specific charge  kg-1.s.A  C.kg-1 [Charge]/[Mass]. Charge/mass ratio. 
Specific density  kg.m-3   [Mass]/[Volume]. Same as density of mass 
Specific energy  m2.s-2 J.kg-1 [Energy]/[Mass]. 
Specific enthalpy  m2.s-2 J.kg-1 [Enthalpy]/[Mass]. Like specific heat. 
Specific entropy  m2.s-2.K-1 J.K-1.kg-1 [Entropy]/[Mass]. 
Specific free energy  m2.s-2 J.kg-1 [Free energy]/[Mass]. Also specific Helmholtz function 
Specific free enthalpy  m2.s-2 J.kg-1 [Free enthalpy]/[Mass]. Also specific Gibbs function 
Specific heat  m2.s-2 J.kg-1 [Heat]/[Mass]. 
Specific heat capacity  m2.s-2.K-1 J.K-1.kg-1 [Heat capacity]/[Mass]. 
Specific internal energy  m2.s-2 J.kg-1 [Internal energy]/[Mass]. Like specific heat. 
Specific refractivity  m3.kg-1   [(r2-1)/(r2+2)]/[Specific density] 
Specific volume  m3.kg-1   [Volume]/[Mass]. 
Speed  m.s-1   [Distance]/[Time]. Same as velocity. 
Spin  1  Dimensionless  of a quantum particle 
Star magnitude  1  Dimensionless  m-m' = -100.4(S/S'), where S,S' are luminous fluxes of two stars 
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. 
Strain point  K    Temperature at which viscosity drops below 1013.5 Pa.s 
Strength, compressive  kg.m-1.s-2 N.m-2, Pa [Force]/[Area]. Same dimension as pressure. 
Strength, dielectric  kg.m.s-3.A-1 V.m-1 [ΔPotential]/[Distance]. Same as electric strength 
Strength, electric field  kg.m.s-3.A-1 V.m-1 [ΔPotential]/[Distance]. Also called electric intensity 
Strength, ionic  m-3.mol   Sum([Concentration]*[Ionic quantum charge]2).
Strength, magnetic field  m-1.A   [Current]/[Distance]. Also called magnetic intensity 
Strength, tensile  kg.m-1.s-2 N.m-2, Pa [Force]/[Area]. Same as pressure. 
Surface density of charge  m-2.s.A  C.m-2 [Charge]/[Area] 
Surface element  m2   [Distance]*[Distance]. Same as area 
Surface energy  kg.s-2 J/m2 [Energy]/[Area]. Same as surface tension. 
Surface tension  kg.s-2 N/m  [Force]/[Length]. Same as surface energy. 
Susceptance, capacitive  kg-1.m-2.s3.A2 S (siemens)  1/[Reactance]. 
Susceptibility, magnetic  1  Dimensionless  [Relative permeability]-1. 
Stress  kg.m-1.s-2 Pa, N.m-2 [Force]/[Area]. Same as pressure. 
T:
Temperature  K  K (kelvin)   
Temperature gradient  K.m-1   [ΔTemperature]/[Distance]. Same as thermal gradient 
Tensile strength  kg.m-1.s-2 N.m-2, Pa [Force]/[Area]. Same as pressure. 
Tension  kg.m-1.s-2 Pa, N.m-2 [Force]/[Area]. Like pressure. 
Thermal conductivity  kg.m.s-3.K-1 W.m-1.K-1 [Heat flux]/([Distance]*[ΔTemperature]). Same as heat conductivity 
Thermal diffusivity  m2.s-1   ([∂Temperatute]/[∂Time])/[∇2Temperature].
Thermal expansion coefficient  K-1   ([ΔLength]/[Length])/[Temperature]. 
Thermal gradient  K.m-1   [ΔTemperature]/[Distance]. Same as temperature gradient 
Thermal resistance  kg-1.m-2.s3K K/W  of a device. [ΔT]/[Power].
Thermodynamic force  kg.m.s-2.mol-1 N/mol  [ΔChemical potential]/[Distance]. 
Thermoelectric power | Thermopower  kg.m2.s-3.A-1.K-1 V.K-1 [ΔPotential]/[ΔTemperature]. Same as Seeback coefficient 
Thomson coefficient  kg.m2.s-3.A-1.K-1 W.K-1.A-1 [Heat flux]/([ΔTemperature]*[Current]). 
Time  s  s (second)   
Torque  kg.m2.s-2 N.m  [Force]*[Distance]. Same as moment of force 
Traction  kg.m.s-2 N (newton)  Maximum tangential force before slipping. 
Traction coefficient  1  Dimensionless  [Traction]/[Weight]. 
Transmission loss  m-1 dB/m  [Ratio]/m. Used for any other quantity. 
U:
V:
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).
Variance of current noise nJ2  s.A2 A2/Hz [Current]2/[Bandwidth]
Variance of voltage noise nV2  kg2.m4.s-5.A-2 V2/Hz [Voltage]2/[Bandwidth]
Vector potential, electromagnetic  kg.m.s-2.A-1 V.s.m-1, T.m [El.field strength]*[Time], [Mag.flux density]*[Distance] 
Velocity  m.s-1   [Distance]/[Time]. Same as speed. 
Verdet constant  kg-1.m-1.s2.A1 rad.m-1.T-1 ([Angle]/[Length])/[Magnetic flux density] 
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.
Viscosity, dynamic  kg.m-1.s-1 Pa.s  ([Force]/[Area])/[ΔVelocity] 
Viscosity, kinematic  m2.s-1   [Dynamic viscosity]/[Density] 
Voltage  kg.m2.s-3.A-1 V  [ΔPotential], same as electromotive force 
Voltage noise, variance nV2  kg2.m4.s-5.A-2 V2/Hz [Voltage]2/[Bandwidth]
Volume  m3   [Area]*[Distance] 
Volume concentration  1  Dimensionless  [Volume of substance]/[Total volume] 
W:
Wavelength  m    [Wave velocity]/[Frequency]. 
Wavenumber  m-1   [Number of waves]/[Distance]. 
Work function  kg.m2.s-2 J, eV  [Energy] needed to remove an electron. 
X:
Y:
Young modulus  kg.m-1.s-2 N.m-2, Pa [Stress]/([ΔLength]/[Length]). 
Z:

Notes:
- 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 ©2005,2006 Stanislav Sýkora    DOI: 10.3247/SL1Phys06.003 Designed by Stan Sýkora