This is a list of common physical constants and variables, and their notations. Note that bold text indicates that the quantity is a vector.
Symbol | Meaning | SI unit of measure |
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| magnetic vector potential |
| area | meter squared (m2) |
amplitude | meter |
atomic mass number |
| acceleration | meters per second squared (m/s2) |
| magnetic flux density also called the magnetic field density or magnetic induction | tesla (T), or equivalently, weber per square meter (Wb/m2) |
| capacitance | farad (F) |
heat capacity | joule per kelvin (J⋅K−1) |
constant of integration | varied depending on context |
| speed of light (in vacuum) | 299,792,458 meter per second (m/s) |
speed of sound | 340.29 meter per second (m/s) |
specific heat capacity | joule per kilogram per kelvin (J⋅kg−1⋅K−1) |
viscous damping coefficient | kilogram per second (kg/s) |
| electric displacement field also called the electric flux density | coulomb per square meter (C/m2) |
| density | kilograms per cubic meter (kg/m3) |
| distance | meter (m) |
direction | unitless |
impact parameter | meter (m) |
diameter | meter (m) |
differential (e.g. ) |
| differential vector element of surface area A, with infinitesimally small magnitude and direction normal to surface S | square meter (m2) |
| differential element of volume V enclosed by surface S | cubic meter (m3) |
| electric field | newton per coulomb (N⋅C−1), or equivalently, volt per meter (V⋅m−1) |
| energy | joule (J) |
Young's Modulus | pascal (Pa) or newton per square meter (N/m2) |
| eccentricity | unitless |
2.71828... (base of the natural logarithm) | unitless |
elementary charge | coulomb (C) |
| force | newton (N) |
| Faraday constant | coulombs per mole (C⋅mol−1) |
| frequency | hertz (Hz) |
function |
friction | newton (N) |
| the gravitational constant | newton meter squared per kilogram squared (N⋅m2/kg2) |
| acceleration due to gravity | meter per second squared (m/s2), or equivalently, newton per kilogram (N/kg) |
| magnetic field strength | ampere per meter (A/m) |
| Hamiltonian | joule (J) |
| height | meter (m) |
Planck constant | joule second (J⋅s) |
| reduced Planck constant | joule second (J⋅s) |
| action | joule second (J⋅s) |
intensity | watt per square meter (W/m2) |
sound intensity | watt per square meter (W/m2) |
electric current | ampere (A) |
moment of inertia | kilogram meter squared (kg⋅m2) |
| intensity | watt per square meter (W/m2) |
imaginary unit |
| Cartesian x-axis basis unit vector | unitless |
| free current density (not including bound currents due to polarization or magnetization) | ampere per square meter (A/m2) |
impulse | kilogram meter per second (kg⋅m/s) |
| imaginary unit (electrical) |
jerk | meters per second cubed (m/s3) |
| Cartesian y-axis basis unit vector | unitless |
| kinetic energy | joule (J) |
| Boltzmann constant | joule per kelvin (J/K) |
wavenumber, wave vector | radians per meter (m−1) |
| Cartesian z-axis basis unit vector | unitless |
| inductance | henry (H) |
luminosity | watt (W) |
angular momentum | newton meter second (N⋅m⋅s or kg⋅m2⋅s−1) |
Lagrangian | joule (J) |
| length | meter (m) |
| magnetization | ampere per meter (A/m) |
moment of force often simply called moment or torque | newton meter (N⋅m) |
| mass | kilogram (kg) |
| normal vector | unit varies depending on context |
atomic number | unitless |
| refractive index | unitless |
principal quantum number | unitless |
amount of substance | mole |
| power | watt (W) |
probability | unitless |
| momentum | kilogram meter per second (kg⋅m/s) |
pressure | pascal (Pa) |
| electric charge | coulomb (C) |
Heat | joule (J) |
| electric charge | coulomb (C) |
| electrical resistance | ohm (Ω) |
Ricci tensor |
radiancy |
gas constant | joule per mole per kelvin (J⋅mol−1⋅K−1) |
| radius vector (position) | meter (m) |
| radius or distance | meter (m) |
| surface area | m2 |
entropy | joule per kelvin (J/K) |
action | joule second (J⋅s) |
| arc length | meter (m) |
displacement | meter (m) |
| period | second (s) |
temperature | kelvin (K) or Celsius (C) |
| time | second (s) |
| four-velocity | meter per second (m/s) |
| potential energy | joule (J) |
internal energy | joule (J) |
| relativistic mass | kilogram (kg) |
energy density | joule per cubic meter (J/m3) or joule per kilogram (J/kg) depending on the context |
| voltage also called electric potential difference | volt (V) |
volume | cubic meter (m3) |
shear force |
| velocity | meter per second (m/s) |
| mechanical work | joule (J) |
| width | meter (m) |
| a generic unknown | varied depending on context |
displacement | meter (m) |
| electrical impedance | ohm (Ω) |
Symbol | Name | Meaning | SI unit of measure |
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| alpha | angular acceleration | radian per second squared (rad/s2) |
fine-structure constant | unitless |
| beta | velocity in terms of the speed of light c | unitless |
| gamma | Lorentz factor | unitless |
photon |
gamma ray |
shear strain |
heat capacity ratio | unitless |
| delta | change in a variable (e.g. ) | unitless |
Laplace operator | per square meter (m−2) |
| displacement (usually small) |
| epsilon | permittivity | farad per meter (F/m) |
strain | unitless |
| epsilon nought | vacuum permittivity constant |
| zeta | damping ratio | unitless |
| eta | energy efficiency | unitless |
coefficient of viscosity also called simply viscosity | pascal second (Pa⋅s) |
jerk | meter per second cubed (m/s3) |
| theta | angular displacement | radian (rad) |
| kappa | torsion coefficient also called torsion constant | newton meter per radian (N⋅m/rad) |
| lambda | cosmological constant | per second squared (s−2) |
| wavelength | meter (m) |
eigenvalue | non-zero vector |
fuel to oxidizer ratio in rocket fuel |
| mu | magnetic moment | ampere square meter (A⋅m2) |
coefficient of friction | unitless |
dynamic viscosity | pascal second (Pa⋅s) |
permeability (electromagnetism) | henry per meter (H/m) |
reduced mass | kilogram (kg) |
gravitational parameter |
| mu nought | vacuum permeability constant |
| nu | frequency | hertz (Hz) |
kinematic viscosity | meters squared per second (m2/s) |
| pi | 3.14159... (irrational number) | unitless |
| rho | mass density usually simply called density | kilogram per cubic meter (kg/m3) |
free electric charge density, not including dipole charges bound in a material | coulomb per cubic meter (C/m3) |
resistivity | ohm meter (Ω⋅m) |
| sigma | summation operator |
| sigma | electrical conductivity | siemens per meter (S/m) |
normal stress |
| tau | torque | newton meter (N⋅m) |
shear stress |
time constant | second (s) |
6.28318... (2π) | unitless |
| phi | field strength | unit varies depending on context |
magnetic flux | weber (Wb) |
| phi | electric potential | volt (V) |
Higgs field work function |
| psi | wave function | m−3/2 |
| omega | angular frequency | radian per second (rad/s) |
| omega | electric resistance | ohm |