SI Dimensions of Physical Quantities: Alphabetic List for NET, IAS, State-SET (KSET, WBSET, MPSET, etc.), GATE, CUET, Olympiads etc.
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SI Dimensions of Physical Quantities: ‘A’ Alphabetic List
A: | |||
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Quantity | Dimension | Alternatives | Definition⟋Notes |
Abbé number | Constringence | V-number | 1 | Dimensionless | VD = nD-1) ⟋ (nF-nC |
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, angular | s-2 | rad. s-2 | [ΔAngular velocity] ⟋ [ΔTime] |
Acceleration|Deceleration | m. s-2 | [ΔVelocity] ⟋ [ΔTime] | |
Acoustic impedance ⟋ resistance ⟋ reactance | kg. m-4. s-1 | Pa. s⟋m3, reyl⟋m2 | [Pressure] ⟋ [Volume flow rate] |
Acoustic impedance, specific | kg. m-2. s-1 | Pa. s⟋m , reyl | [ΔPressure] ⚹ [Velocity] . Also s. acu. resistance ⟋ reactance |
Acoustic conductance, specific | kg-1. m2. s | reyl-1 | Inverse of s. acu. impedance. Also s. acu. susceptance |
Action | kg. m2. s-1 | J. s | [Energy] ⚹ [Time] , [Moment of motion] ⚹ [Distance] |
Activity of a radioactive source | s-1 | Bq (becquerel) | [Counts] ⟋ [Time] |
Activity, katalytic | mol. s-1 | katal | [ΔQuantity] ⟋ [Time] . Same as molar production rate |
Activity, transactions rate | s-1 | 1⟋year | [Transactions] ⟋ [Time period] . Economy and finance |
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] |
Advection velocity | m. s-1 | m⟋s | In porous media; actual progress along pressure gradient |
Albedo, of a surface | 1 | Dimensionless | [Reflected elmag power] ⟋ [Incident elmag power] |
Amplification|Attenuation (generic) | 1 | usually in dB | [Quantity (p) ] ⟋ [Quantity (p) ] , with p being some parameter |
Angular acceleration | s-2 | rad. s-2 | [ΔAngular velocity] ⟋ [ΔTime] |
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 | [ΔPlane angle] ⟋ [ΔTime] |
Annealing point | K | Temperature at which viscosity drops below 1012 Pa. s | |
Area | m2 | [Distance] ⚹ [Distance] | |
Area growth rate | m2. s-1 | [ΔArea] ⟋ [Time] | |
Asset|Wealth | cur | currency | Economy and finance |
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 |
Attenuation|Amplification (generic) | 1 | usually in dB | [Quantity (p) ] ⟋ [Quantity (p) ] , with p being some parameter |
Attenuation ⟋ amplification over a distance | m-1 | dB⟋m | [Attenuation] ⟋ [Distance] . Mostly in acoustic and electronics |
Attenuation ⟋ amplification over a period | s-1 | dB⟋s | [Attenuation] ⟋ [Time] . Mostly in acoustic and electronics |
SI Dimensions of Physical Quantities: ‘B’ Alphabetic List
B: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Bandwidth | s-1 | Hz | [ΔFrequency] |
Baud rate | Information flux | bit. s-1 | baud | [Information] ⟋ [Time] |
Bond duration | s | year | Economy and finance |
Bulk modulus | kg. m-1. s-2 | N. m-2, Pa | ( [ΔVolume] ⟋ [Volume] ) ⟋ [Pressure] .Inverse of compressibility |
SI Dimensions of Physical Quantities: ‘C’ Alphabetic List
C: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
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] |
Cash flow | cur. s-1 | currency⟋year | [Value] ⟋ [ΔTime] . Economy and finance |
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, magnetic (bound) | m-2. A | - ∇ . [Magnetization] , -Divergence of magnetization | |
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 | Specific charge | kg-1. s. A | C. kg-1 | [Charge] ⟋ [Mass] |
Charge, molar | s. A. mol-1 | C. mol-1 | [Charge] ⟋ [Quantity] |
Chemical potential, molar | kg. m2. s-2. mol-1 | J. mol-1 | [ΔInternalEnergy] ⟋ [ΔQuantity] |
Circuit admittance | kg-1. m-2. s3. A2 | S (siemens) | 1⟋ [Circuit impedance] |
Circuit impedance | kg. m2. s-3. A-2 | Ω (ohm) | |
Circulation ⟋ velocity of money | s-1 | 1⟋year | [Transactions] ⟋ [Time period] . Economy and finance |
Circumference|Perimeter | m | ||
Collision cross section | Cross section | m2 | [Distance] ⚹ [Distance] | |
Compressibility | kg-1. m. s2 | Pa-1 | [Pressure] ⟋ ( [ΔVolume] ⟋ [Volume] ) .Inverse of bulk modulus |
Compression | kg. m-1. s-2 | N. m-2, Pa (pascal) | [Force] ⟋ [Area] . Same as pressure |
Compression factor of a real gas | 1 | Dimensionless | pV⟋ (nRT) . For ideal gas equals 1; temperature dependent |
Compressive strength | kg. m-1. s-2 | N. m-2, Pa | [Force] ⟋ [Area] . Like pressure |
Concentration, molar | m-3. mol | [Quantity] ⟋ [Volume] . Same as molar density | |
Concentration gradient, molar | m-4. mol | [Molarity] ⟋ [Distance] . Same as molarity gradient | |
Concentration ratio, molar | 1 | Dimensionless | [Partial quantity] ⟋ [Total quantity] |
Concentration ratio, by mass | 1 | Dimensionless | [Partial mass] ⟋ [Total mass] |
Concentration ratio, by volume | 1 | Dimensionless | [Partial volume] ⟋ [Total volume] . . |
Concentration, by weight (obsolete) | 1 | Dimensionless | [Partial mass] ⟋ [Total mass] . Obsolete: use by mass |
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, hydraulic | m. s-1 | m⟋s | Used for porous media |
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 | Abbé number | V-number | 1 | Dimensionless | VD = nD-1) ⟋ (nF-nC |
Convergence | m-1 | dioptry | in optics, but not only |
Cosmological constant Λ | m-2 | Present in Einstein՚s equation | |
Cosmological expansion rate | s-1 | km⟋s⟋Mpc | [Velocity] ⟋ [Distance] . Mpc stands for Megaparsec |
Count of events⟋instances | 1 | This covers all kinds of enumerations | |
Count rate | s-1 | [Counts] ⟋ [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 | m-1 | 1⟋ [Curvature radius] | |
Curvature radius | m | of a line in plane⟋space or surface in space |
SI Dimensions of Physical Quantities: ‘D’ Alphabetic List
D: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
D Alembert operator | D Alembertian | m-2 | 1⟋c2) ∂2⟋ ∂ t2 - ∂2⟋ ∂ x2 - ∂2⟋ ∂ y2 - ∂2⟋ ∂ z2 | |
Debt|Liability | cur | currency | Economy and finance |
Debt⟋GDP ratio | s | year | [Debt] ⟋ [Earnings] . Economy and finance |
Deceleration|Acceleration | m. s-2 | [ΔVelocity] ⟋ [ΔTime] | |
Deceleration, angular | s-2 | rad. s-2 | [ΔAngular velocity] ⟋ [ΔTime] |
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 mass, gradient of | kg. m-4 | [Mass density] ⟋ [Distance] . Same as specific density gradient | |
Density of particles | m-3 | [Count] ⟋ [Volume] . Obsolete: number density | |
Density of substance | m-3. mol | [Quantity] ⟋ [Volume] . Same as molar concentration | |
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 | |
Dielectric constant | Relative permittivity | 1 | Dimensionless | [Permittivity] ⟋ [Permittivity of vacuum] |
Dielectric strength⟋rigidity | Electric strength | kg. m. s-3. A-1 | V. m-1 | [ΔPotential] ⟋ [Distance] |
Diffusion coefficient | m2. s-1 | [Distance]2⟋ [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] | |
Displacement, electric | m-2. s. A | C. m-2 | [Charge] ⟋ [Area] . Same as electric flux density |
Displacement four-tensor relativistic Dμν | m-1. A | Like magnetic intensity | |
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] |
SI Dimensions of Physical Quantities: ‘E’ Alphabetic List
E: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Earnings|Income rate | cur. s-1 | currency⟋year | [Value] ⟋ [Time period] . Economy and finance |
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 displacement | m-2. s. A | C. m-2 | [Charge] ⟋ [Area] . Same as electric flux density |
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 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 | Dielectric strength | kg. m. s-3. A-1 | V. m-1 | [ΔPotential] ⟋ [Distance] . . |
Electromagnetic field tensor relativistic Fμν | kg. s-2. A-1 | T | Like magnetic flux density |
Electromagnetic displacement relat. Dμν | m-1. A | Like magnetic intensity | |
Electromagnetic four-current relativistic Jα | m-2. A | Like current density and [Charge] ⚹ [c] | |
Electromagnetic four-potential relativistic Aα | kg. m. s-2. A-1 | m-1. s. V, m. T | Like magnetic vector potential and [El. potential] ⟋ [c] |
Electromotive force (emf) | kg. m2. s-3. A-1 | V | [ΔPotential] |
Electron affinity (always molar) | kg. m2. s-2. mol-1 | J. mol-1 | Energy released binding an electron |
Electronegativity, Pauling χ | 1 | Dimensionless | Relative tendency of an atom to attract electrons; χ (H) = 2.20. |
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 | Power | kg. m2. s-3 | J. s-1, W (watt) | [ΔEnergy] ⟋ [ΔTime] |
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, log-scale | s-1 | d {ln (Q) } ⟋dt = (dQ⟋dt) ⟋Q. Same as relative evolution rate | |
Expansion coefficient, thermal | K-1 | ( [ΔLength] ⟋ [Length] ) ⟋ [Temperature] | |
Expansion rate, cosmological | s-1 | km⟋s⟋Mpc | [Velocity] ⟋ [Distance] . Mpc stands for Megaparsec |
Expectation frequency | s-1 | [Counts] ⟋ [Time] . Like count rate | |
Exposure | kg-1. s. A | C. kg-1 | [Charge] ⟋ [Mass] . Used for ionising radiations |
Extinction coefficient | m-1 | dB⟋m | [Ratio] ⟋m. Used mostly for radiation |
SI Dimensions of Physical Quantities: ‘F’ Alphabetic List
F: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Field tensor, electromagnetic relativistic Fμν | kg. s-2. A-1 | T | Like magnetic flux density |
Fire point | K | Temperature at which ignited vapour keeps burning | |
Flash point | K | Temperature at which vapour can be kept burning | |
Flow | cur. s-1 | currency⟋year | [ΔValue] ⟋ [ΔTime] . Economy and finance: time derivative |
Flow rate, of mass | Mass production rate | kg. s-1 | [ΔMass] ⟋ [Time] . For example, through a pipe | |
Flow rate, of volume | m3. s-1 | [ΔVolume] ⟋ [Time] . For example, through a pipe | |
Force | kg. m. s-2 | N (newton) | [Mass] ⚹ [Acceleration] |
Force, thermodynamic | kg. m. s-2. mol-1 | N⟋mol | [ΔChemical potential] ⟋ [Distance] |
Four-current relativistic Jα | m-2. A | Like current density and [Charge] ⚹ [c] | |
Four-potential relativistic Aα | kg. m. s-2. A-1 | m-1. s. V, m. T | Like magnetic vector potential and [El. potential] ⟋ [c] |
Four-tensor elmag displacement relat. Dμν | m-1. A | Like magnetic intensity | |
Four-tensor elmag field relativistic Fμν | kg. s-2. A-1 | T | Like magnetic flux density |
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] . Like Helmholtz function |
Free energy, specific | m2. s-2 | J. kg-1 | [Free energy] ⟋ [Mass] . Like 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] . Like molar Gibbs function |
Free enthalpy, specific | m2. s-2 | J. kg-1 | [Free enthalpy] ⟋ [Mass] . Like specific Gibbs function |
Frequency of events | s-1 | [Counts] ⟋ [Time] | |
Frequency of waves | s-1 | Hz | hertz |
Frequency drift rate | s-2 | Hz. s-1 | [ΔFrequency] ⟋ [Time] |
Friction | kg. m. s-2 | N | 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 |
SI Dimensions of Physical Quantities: ‘G’ Alphabetic List
G: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Gain of a device | 1 | Dimensionless | [Output] ⟋ [Input] , like-quantities ratio. Often in dB |
GDP Gross domestic product | cur. s-1 | currency⟋year | [Earnings] . Economy and financee: of an administrative region |
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, of mass density | kg. m-4 | [Mass density] ⟋ [Distance] . Same as specific density gradient | |
Gradient, of pressure | kg. m-2. s-2 | N. m-3, Pa⟋m | [Pressure] ⟋ [Distance] |
Gradient, thermal | K. m-1 | [ΔTemperature] ⟋ [Distance] . Same as temperature gradient | |
Gravitational constant G | kg-1. m3. s-2 | [Force] ⚹ [Distance]2⟋ [Mass]2. Appears in Newton՚s equation | |
Gravitational field intensity | Gravity | m. s-2 | [Force] ⟋ [Mass] , [Acceleration] | |
Gravitational field potential | m2. s-2 | [Energy] ⟋ [Mass] . | |
Gravity | Gravitational field intensity | m. s-2 | [Force] ⟋ [Mass] , [Acceleration] | |
Growth rate, relative | s-1 | [Relative variation] ⟋ [Time] | |
Growth rate, linear | m. s-1 | [ΔLength] ⟋ [Time] | |
Growth rate, of area⟋surface | m2. s-1 | [ΔArea] ⟋ [Time] | |
Growth rate, of volume | m3. s-1 | [ΔVolume] ⟋ [Time] | |
Gyromagnetic ratio | kg-1. s. A | Hz. T-1 | [Mag. moment] ⟋ [Angular moment of motion] |
SI Dimensions of Physical Quantities: ‘H’ Alphabetic List
H: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Half life | s | of a non-conservative ⟋ decaying quantity | |
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 conductivity | 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 |
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] |
Hydraulic conductivity | m. s-1 | m⟋s | Used for porous media |
Hydraulic permeability | m2 | 1 darcy = 10-12 m2 | [Velocity] ⚹ [Viscosity] ⟋ [Pressure gradient] , in porous media |
SI Dimensions of Physical Quantities: ‘I’ Alphabetic List
I: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Illuminance | cd. sr. m-2 | lm. m-2, lx (lux) | [Luminous flux] ⟋ [Area] |
Impact resistance | kg. s-2 | J. m-2 | [Energy] ⟋ [Area] |
Impedance, acoustic | kg. m-4. s-1 | Pa. s⟋m3, reyl⟋m2 | [ΔPressure] ⟋ [Volume flow rate] . Also acu. resistance ⟋ reactance |
Impedance, acoustic, specific | kg. m-2. s-1 | Pa. s⟋m , reyl | [ΔPressure] ⚹ [Velocity] . Also s. acu. resistance ⟋ reactance |
Impedance, characteristic, electric | 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] | |
Income rate|Earnings | cur. s-1 | currency⟋year | [Value] ⟋ [Time period] . Economy and finance |
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 | Baud rate | bit. s-1 | baud | [Information] ⟋ [Time] |
Intensity of electric current | m-2. A | [Current] ⟋ [Area] . Same as current density | |
Interest | 1 | % | [ΔWealth] ⟋ [Wealth] . Economy and finance |
Interest rate | s-1 | % ⟋year | [Interest] ⟋ [Time period] . Economy and finance |
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 . | |
Ionization energy, molar | kg. m2. s-2. mol-1 | J. mol-1 | Energy to ionize a molecule⟋atom |
Irradiance | kg. s-3 | W. m-2 | [Heat flux] ⟋ [Area] . Same as heat flux density |
SI Dimensions of Physical Quantities: ‘J’ Alphabetic List
J: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Joule-Thomson coefficient | kg-1. m. s2. K | K. Pa-1 | [ΔTemperature] ⟋ [ΔPressure] |
SI Dimensions of Physical Quantities: ‘K’ Alphabetic List
K: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Katalytic activity | mol. s-1 | katal | [ΔQuantity] ⟋ [Time] . Same as molar production rate |
Kinematic viscosity | m2. s-1 | [Dynamic viscosity] ⟋ [Density] | |
K-space vector|Reciprocal space position | m-1 |
SI Dimensions of Physical Quantities: ‘L’ Alphabetic List
L: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Lagrangian | kg. m2. s-2 | J | [Force] ⚹ [Distance] , [Power] ⚹ [Time] . Like energy |
Laplace operator | Laplacian | m-2 | ∇2 = ∂2⟋ ∂ x2 + ∂2⟋ ∂ y2 + ∂2⟋ ∂ z2 | |
Length | m | m (meter) | |
Liability|Debt | cur | currency | Economy and finance |
Linear stiffness | kg. s-2 | N. m-1 | [Force] ⟋ [Displacement] … of a structure |
Logarithmic ratio logb (A⟋A) in any base b | 1 | Applicable to any ratio of commensurable 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 |
Logarithmic scale probability density | 1 | 1⟋Np | [Probability] ⟋ [Natural-logarithmic ratio] |
Loss of a device | 1 | Dimensionless | [Output] ⟋ [Input] , like-quantities ratio. Often in dB |
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] . 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 |
SI Dimensions of Physical Quantities: ‘M’ Alphabetic List
M: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Magnetic charge (bound) | m-2. A | - ∇ . [Magnetization] , -Divergence of magnetization | |
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 | 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 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 |
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 | [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 density gradient|Specific density gradient | kg. m-4 | [Mass density] ⟋ [Distance] | |
Mass concentration | 1 | Dimensionless | [Partial mass] ⟋ [Total mass] |
Mass flow (total) | kg. s-1 | kg | [ΔMass] ⟋ [Time] . For example, through a device |
Mass production rate | kg. s-1 | [ΔMass] ⟋ [Time] . Same as mass flow | |
Mass, molar | kg. mol-1 | [Mass] ⟋ [Quantity] | |
Mass number of an isotope | 1 | Dimensionless | Number of protons + neutrons in the isotope nuclide |
Mean anomaly | 1 | Dimensionless | Of a body on a Kepler orbit; t. sqrt G M1 + M2 ⟋r3 |
Mean motion | s-1 | Of a 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 |
Modulus of rigidity | kg. m-1. s-2 | N. m-2, Pa | [Stress] ⟋ [Strain] . Same as shear modulus |
Mobility, ionic | kg-1. m-1. s2. A | m2. s-1. V-1 | [Velocity] ⟋ [Electric field strength] . |
Molality (intended as concentration) | kg-1. mol | mol⟋kg | [Quantity] ⟋ [Mass] |
Molar charge | s. A. mol-1 | C. mol-1 | [Charge] ⟋ [Quantity] |
Molar concentration | m-3. mol | [Quantity] ⟋ [Volume] . Same as concentration or molarity | |
Molar concentration gradient | m-4. mol | [Molarity] ⟋ [Distance] . Same as molarity gradient | |
Molar concentration ratio | 1 | Dimensionless | [Partial quantity] ⟋ [Total quantity] |
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 particle count | mol-1 | [Count] ⟋ [Mol] . For example, the Avogadro constant | |
Molar production rate | mol. s-1 | [ΔQuantity] ⟋ [Time] . | |
Molar refractivity | m3. mol-1 | r2-1) ⟋ (r2 + 2 ⟋ Concentration , where r is the refractive index | |
Molar relaxivity | 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 | |
Molarity gradient | m-4. mol | [Molarity] ⟋ [Distance] . Same as concentration gradient | |
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] | |
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 | |
Mutual inductance | kg. m2. s-2. A-2 | V. s. A-1, Wb. A-1, H (henry) | [ΔPotential] ⟋ [dCurrent⟋dt] , [Mag. flux] ⟋ [Current] |
SI Dimensions of Physical Quantities: ‘N’ Alphabetic List
N: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Nabla (∇) | div|grad|rot|curl | m-1 | Any derivative-like construct with respect to a distance | |
Notch resistance | kg. s-2 | J. m-2 | [Energy] ⟋ [Area] |
Number of instances ⟋ events | 1 | This covers all kinds of enumerations | |
Number density | m-3 | [Particles] ⟋ [Volume] . Obsolete; see particle density | |
Number of turns | 1 | Often used in electric engineering |
SI Dimensions of Physical Quantities: ‘O’ Alphabetic List
O: | ||||
---|---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes | |
Osmotic pressure | kg. m-1. s-2 | Pa |
SI Dimensions of Physical Quantities: ‘P’ Alphabetic List
P: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Particle count, molar | mol-1 | [Count] ⟋ [Mol] . For example, the Avogadro constant | |
Particle density | m-3 | [Count] ⟋ [Volume] . Obsolete: number density | |
P⟋E Price⟋Earnings ratio | s | year | [Value] ⟋ [Earnings] . Economy and finance |
Peltier coefficient | kg. m2. s-3. A-1 | W. A-1, V | [Heat flux] ⟋ [Current] |
Perimeter|Circumference | m | ||
Permeability, magnetic | kg. m. s-2. A-2 | H. m-1 | [Mag. flux density] ⟋ [Mag. field strength] |
Permeability, hydraulic | m2 | 1 darcy = 10-12 m2 | [Velocity] ⚹ [Viscosity] ⟋ [Pressure gradient] , in porous media |
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|Phase angle | 1 | rad | φ typically 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 | |
Poisson՚s ratio | 1 | Dimensionless | [Transversal striction] ⟋ [Londitudinal elongation] |
Polarization, electric | m-2. s. A | C. m-2 | [Charge] ⟋ [Area] . Like electric flux density |
Porosity, superficial | 1 | Dimensionless | [Void cross section] ⟋ [Total cross section] , in porous media |
Porosity, volume | 1 | Dimensionless | [Pores volume] ⟋ [Total volume] , in porous media |
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. Generic, usable for any 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] |
Pressure gradient | kg. m-2. s-2 | N. m-3, Pa⟋m | [Pressure] ⟋ [Distance] |
Price|Value | cur | currency | Economy and finance |
Probability of an event | 1 | Real number in a dimensionless interval [0,1] | |
Probability density on log-scale | 1 | Np-1 | [Probability] ⟋ [Natural-logarithmic ratio] |
Purchase|Transaction value | cur | currency | Economy and finance |
SI Dimensions of Physical Quantities: ‘R’ Alphabetic List
R: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
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) | [Counts] ⟋ [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 commensurable quantities | 1 | Dimensionless | Q1⟋Q2, with Q1 and Q2 having the same dimension |
Reactance, acoustic | kg. m-4. s-1 | Pa. s⟋m3, reyl⟋m2 | [ΔPressure] ⟋ [Volume flow rate] . Also acu. impedance ⟋ resistance |
Reactance, acoustic, specific | kg. m-2. s-1 | Pa. s⟋m , reyl | [ΔPressure] ⚹ [Velocity] . Also s. acu. impedance ⟋ resistance |
Reactance, capacitive | kg. m2. s-3. A-2 | Ω (ohm) | 1⟋ (i [Angular frequency] . [Capacitance] ) |
Reciprocal space position|K-space vector | m-1 | ||
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 atomic mass | Atomic weight | au | atomic units | Average over a typical isotopic composition |
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 log-scale evolution rate | |
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 |
Relativistic displacement four-tensor Dμν | m-1. A | Like magnetic intensity | |
Relativistic electromagnetic field tensor Fμν | kg. s-2. A-1 | T | Like magnetic flux density |
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] |
Relaxation rate | s-1 | 1⟋ [Relaxation time] . Used for returns to equilibria | |
Relaxation time | s | Used for returns to equilibria | |
Relaxivity, molar | s-1. mol-1 | [Relaxation rate] ⟋ [Concentration] | |
Reluctance, magnetic | kg-1. m-1. s2. A2 | m. H-1 | 1⟋ [Permeability] |
Resistance, acoustic | kg. m-4. s-1 | Pa. s⟋m3, reyl⟋m2 | [ΔPressure] ⟋ [Volume flow rate] . Also acu. impedance ⟋ reactance |
Resistance, acoustic, specific | kg. m-2. s-1 | Pa. s⟋m , reyl | [ΔPressure] ⚹ [Velocity] . Also s. acu. impedance ⟋ reactance |
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] . Like notch resistance |
Resistivity, electric | kg. m3. s-3. A-2 | Ω. m | ( [Resistance] ⚹ [Length] ) ⟋ [Area] |
Return on asset ⟋ equity | s-1 | % ⟋year | ( [ΔValue] ⟋ [Value] ) ⟋ [Time period] . Economy and finance |
Reynolds number | 1 | Dimensionless | [Velocity] ⚹ [length] ⟋ [Kinematic viscosity] |
RF attenuation | m-1 | dB⟋m | [Ratio] ⟋m. Used mostly for radiation |
SI Dimensions of Physical Quantities: ՚s Alphabetic List
S: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Sale|Transaction value | cur | currency | Economy and finance |
Sales flow|Transactions volume | cur. s-1 | [Value] ⟋ [Time period] . Economy and Finance | |
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] |
Settling time | s | typically dB⟋s | Used to describe transient phenomena |
Shear modulus | kg. m-1. s-2 | N. m-2, Pa | [Stress] ⟋ [Strain] . Like Young modulus |
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. Used in acoustics |
Specific acoustic impedance | kg. m-2. s-1 | Pa. s⟋m , reyl | [ΔPressure] ⚹ [Velocity] . Also s. acu. resistance ⟋ reactance |
Specific acoustic conductance | kg-1. m2. s | reyl-1 | Also specific acoustic susceptance |
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 density gradient | kg. m-4 | [Mass density] ⟋ [Distance] . Same as mass density gradient | |
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 (mechanical) | 1 | Dimensionless | [ΔLength] ⟋ [Length] Relative deformation |
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] . Like pressure |
Strength, dielectric | kg. m. s-3. A-1 | V. m-1 | [ΔPotential] ⟋ [Distance] . Same as electric strength |
Strength, electric field | Electric intensity | kg. m. s-3. A-1 | V. m-1 | [ΔPotential] ⟋ [Distance] |
Strength, ionic | m-3. mol | Sum [Concentration] ⚹ [Ionic quantum charge]2 . | |
Strength, magnetic field | Magnetic intensity | m-1. A | [Current] ⟋ [Distance] | |
Strength, tensile | kg. m-1. s-2 | N. m-2, Pa | [Force] ⟋ [Area] . Same as pressure |
Superficial porosity | 1 | Dimensionless | [Void cross section] ⟋ [Total cross section] , in porous media |
Superficial velocity | m. s-1 | m⟋s | In porous media; as if the space was filled only by the fluid |
Surface area | m2 | [Distance] ⚹ [Distance] . Applicable to 3D bodies | |
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 growth rate | m2. s-1 | [ΔArea] ⟋ [Time] | |
Surface tension | kg. s-2 | N⟋m | [Force] ⟋ [Length] . Same as surface energy |
Susceptance, acoustic, specific | kg-1. m2. s | reyl-1 | Also specific acoustic conductance |
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 |
SI Dimensions of Physical Quantities: ‘T’ Alphabetic List
T: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
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 |
Thickness | m | usually referred to planar structures | |
Thomson coefficient | kg. m2. s-3. A-1. K-1 | W. K-1. A-1 | [Heat flux] ⟋ ( [ΔTemperature] ⚹ [Current] ) |
Time | s | s (second) | |
Torque | Moment of force | kg. m2. s-2 | N. m | [Force] ⚹ [Distance] |
Traction | kg. m. s-2 | N (newton) | Maximum tangential force before slipping |
Traction coefficient | 1 | Dimensionless | [Traction] ⟋ [Weight] |
Transaction value|Sale|Purchase | cur | currency | Economy and finance |
Transactions count | 1 | Dimensionless | Economy and finance |
Transactions rate|Activity | s-1 | 1⟋year | [Transactions] ⟋ [Time period] . Economy and finance |
Transactions volume|Sales flow | cur. s-1 | [Value] ⟋ [Time period] . Economy and Finance | |
Transmission loss | m-1 | dB⟋m | [Ratio] ⟋m. Generic, usable for any quantity |
SI Dimensions of Physical Quantities: ‘V’ Alphabetic List
V: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
V-number | Abbé number | Constringence | 1 | Dimensionless | VD = nD-1) ⟋ (nF-nC |
Value|Price | cur | currency | Economy and finance |
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 | |
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, magnetic | kg. m. s-2. A-1 | m-1. s. V, m. T | [Mag. flux density] ⚹ [Distance] , [El. field strength] ⚹ [Time] |
Velocity | m. s-1 | m⟋s | [Distance] ⟋ [Time] . Same as speed |
Velocity, advection | m. s-1 | m⟋s | In porous media; actual progress along pressure gradient |
Velocity, of money (circulation) | s-1 | 1⟋year | [Transactions] ⟋ [Time period] . Economy and finance |
Velocity, superficial | m. s-1 | m⟋s | In porous media; as if the space was filled only by the fluid |
Verdet constant | kg-1. m-1. s2. A1 | rad. m-1. T-1 | ( [Angle] ⟋ [Length] ) ⟋ [Magnetic flux density] |
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 + … | |
Viscosity, dynamic | kg. m-1. s-1 | Pa. s | ( [Force] ⟋ [Area] ) ⟋ [ΔVelocity] |
Viscosity, kinematic | m2. s-1 | [Dynamic viscosity] ⟋ [Density] | |
Voltage | Electromotive force | kg. m2. s-3. A-1 | V | [ΔPotential] |
Voltage noise, variance nV2 | kg2. m4. s-5. A-2 | V2⟋Hz | [Voltage]2⟋ [Bandwidth] |
Volume | m3 | [Area] ⚹ [Distance] | |
Volume concentration | 1 | Dimensionless | [Partial volume] ⟋ [Total volume] |
Volume flow | m3. s-1 | [Volume] ⟋ [Time] . For example, through a device | |
Volume growth rate | m3. s-1 | [Volume] ⟋ [Time] . For example, of a crystal | |
Volume porosity | 1 | Dimensionless | [Pores volume] ⟋ [Total volume] , in porous media |
SI Dimensions of Physical Quantities: ‘W’ Alphabetic List
W: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Wave function for N particles (quantum) | m-3N⟋2 | tentative | | ψ|2dτN is a dimensionless probability element. |
Wavelength | m | [Wave velocity] ⟋ [Frequency] | |
Wavenumber | m-1 | [Number of waves] ⟋ [Distance] | |
Wealth|Asset | cur | currency | Economy and finance |
Work function | kg. m2. s-2 | J, eV | [Energy] needed to remove an electron |
SI Dimensions of Physical Quantities: ‘Y’ Alphabetic List
Y: | |||
---|---|---|---|
Quantity | Dimension | Alternatives | Definition⟋Notes |
Young modulus | kg. m-1. s-2 | N. m-2, Pa | [Stress] ⟋ [Strain] . Like shear modulus |