| 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 |
| 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 | Laplacian | m-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-1 | typically dB/s | [Ratio]/[ΔTime]. Used for transient phenomena |
| Relaxation rate | s-1 | | 1/[Relaxation time] |
| Frequency of waves | s-1 | Hz | hertz |
| Phase drift rate | s-1 | rad.s-1 | [Phase angle]/[Time] |
| Angular velocity / speed | s-1 | rad.s-1 | [Plane angle]/[Time] |
| Frequency drift rate | s-2 | Hz.s-1 | [ΔFrequency]/[Time]. Applicable to waves |
| Angular acceleration / deceleration | s-2 | rad.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-1 | dioptry | used in optics, but not only .. |
| Attenuation / amplification over a distance | m-1 | dB/m | [Attenuation]/[Distance]. Mostly in acoustic and electronics |
| Extinction coefficient | m-1 | dB/m | [Ratio]/m. Used mostly for radiation |
| Propagation / transmission loss | m-1 | dB/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.mol | mol/kg | [Quantity]/[Mass]. Obsolete |
| Katalytic activity | mol.s-1 | katal | [ΔQuantity]/[Time] |
| Mechanics and hydrodynamics |
| Force | kg.m.s-2 | N | 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-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 | J.kg-1 | [Energy]/[Mass] |
| 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 | J.s.kg-1 | [Angular moment]/[Mass], [Velocity]*[Loop length] |
| Spin | 1 | Dimensionless | of a quantum particle |
| 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 | 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 |
| Wave function for N particles (quantum) | m-3N/2 | tentative | |ψ|2dτN 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 |
| Specific acoustic impedance / resistance / reactance | kg.m-2.s-1 | Pa.s/m , reyl | [ΔPressure]*[Velocity], intensive property |
| Specific acoustic conductance / susceptance | kg-1.m2.s | reyl-1 | Inverse of specific acoustic impedance |
| Acoustic impedance / resistance / reactance | kg.m-4.s-1 | Pa.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-2 | J | Same as energy |
| Specific heat | internal energy | enthalpy | m2.s-2 | J.kg-1 | [Heat]/[Mass] |
| 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 | J.K-1.kg-1 | [Entropy]/[Mass] |
| Free energy | Free enthalpy | kg.m2.s-2 | J | Helmholtz | Gibbs functions, respectively |
| Specific free energy | free enthalpy | m2.s-2 | J.kg-1 | [Energy]/[Mass]. Also specific Helmholtz | Gibbs functions |
| Molar thermodynamical quantities: |
| Molar heat | internal energy | enthalpy | kg.m2.s-2.mol-1 | J.mol-1 | [Heat]/[Quantity] |
| Molar energy | kg.m2.s-2.mol-1 | J.mol-1 | [Energy]/[Quantity] |
| Molar entropy | kg.m2.s-2.K-1.mol-1 | J.K-1.mol-1 | [Entropy]/[Quantity] |
| 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 | J.K-1.kg-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 | J.kg-1 | [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]. |
| 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-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 |
| Thermoelectric power | Thermopower | kg.m2.s-3.A-1.K-1 | V.K-1 | [ΔPotential]/[ΔTemperature] |
| Seeback coefficient | 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] |
| Chemistry, physical chemistry, atomic and molecular physics |
| Concentration | Molar density | Molarity | m-3.mol | | [Quantity]/[Volume]. Same as 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 |
| Volume, molar | m3.mol-1 | | [Volume]/[Quantity] |
| Heat of fusion | evaporation, molar | kg.m2.s-2.mol-1 | J.mol-1 | [Energy]/[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) | |
| Conductivity, molar | kg-1.s3.A2.mol-1 | S.m2.mol-1 | [El.conductivity]/[Concentration] |
| Relaxivity, molar | 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] |
| 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-2 | Pa.m6 | a 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-1 | km/s/Mpc | [Velocity]/[Distance]. Mpc stands for Megaparsec |
| Optics |
| 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 | 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-2 | lm.m-2, lx | lux. [Luminous flux]/[Area] |
| Luminous emittance | cd.sr.m-2 | lm.m-2, lx | lux. Same as illuminance, but for sources |
| Luminous efficacy | cd.sr.kg-1.m-1.s3 | 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 | kg.s-3.sr-1 | W.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-1 | Bq | bequerel. [Counts]/[Time] |
| Irradiance | kg.s-3 | W.m-2 | [Power]/[Area]. For all kinds of energy deposition |
| Absorbed dose | m2.s-2 | J.kg-1, Gy | gray. [Energy]/[Mass] |
| Absorbed dose rate | m2.s-3 | Gy.s-1 | [Absorbed dose]/[Time] |
| Absorbed dose equivalent | m2.s-2 | J.kg-1, Sv | sievert. [const].[Energy]/[Mass] |
| Exposure | kg-1.s.A | C.kg-1 | [Charge]/[Mass]. For ionising radiations |
| Radiation properties of matter |
| Half life | s | | Of a radioisotope |
| Radiation power | m2.s-3 | W/kg | [Power]/[Mass]. Heat generated by a radioisotope |
| Radiation power, molar | kg.m2.s-3.mol-1 | W/mol | [Power]/[Quantity]. Heat generated by a radioisotope |
| Informatics |
| Information | bit-1 | bit | bit; the elementary information quantum |
| Baud rate | Information flux | bit.s-1 | Baud | 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-1 | 1/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-1 | 1/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-1 | currency/year | [Value]/[ΔTime]. Mathematically, time derivative |
| Earnings | Income rate | cur.s-1 | currency/year | [Value]/[Time period] |
| GDP Gross domestic product | cur.s-1 | currency/year | [Earnings]. Usually refered to nations/states/admin.regions |
| Debt/GDP ratio | s | year | [Debt]/[Earnings]. Independent of currency / population size |
| P/E Price/Earnings ratio | s | year | [Value]/[Earnings]. Used to assess an asset/company |
| Bond duration | s | year | In general, the duration of a fixed cash flow |
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