Classical Mechanics

Physics Symbols: Greek Letters and Notation Cheat Sheet

Definition

Physics symbols are the single letters and marks that stand for measurable quantities, their units and the operations performed on them — v for velocity, Ω for the ohm, Δ for a change. Quantity symbols are printed in italic, unit symbols upright, and the same letter routinely means different things in different branches.

Open any physics page and you meet a wall of letters before you meet a single idea. Half of them are Greek, several are wearing tiny numbers, and one of them — μ — turns up three times on the same page meaning three unrelated things.

That wall is not decoration. Every symbol is a compressed sentence, and once you can unpack it, an unfamiliar equation stops being intimidating and starts being readable. This page is the decoder.

What Are Physics Symbols?

Physics symbols are shorthand: a letter or mark that stands for a physical quantity, a unit, a constant or a mathematical operation. Rather than writing “the rate of change of velocity”, you write a, and every physicist on the planet knows what you mean.

They fall into four families, and mixing them up is where most confusion starts.

  • Quantity symbols — the thing being measured: m (mass), v (velocity), T (temperature). Always italic.
  • Unit symbols — what it is measured in: kg, m/s, K. Always upright, never pluralised.
  • Constant symbols — fixed values of nature: c, h, G, ε0.
  • Operator and notation symbols — instructions: Δ, , the arrow or bold type that marks a vector.

Here is the crucial point most students never get told: symbols are conventions, not laws. Unit symbols are fixed by international agreement, but quantity symbols are only recommendations — which is exactly why one letter can be recycled across topics.

Physics symbols - Diagram showing the anatomy of a physics statement: quantity symbol, subscript label, numerical value and unit symbol

Every physics statement carries four separate pieces of information. Reading them apart is the whole skill.

Greek Letters in Physics: The Complete Table

Greek letters appear in physics because the Latin alphabet ran out. There are only 26 Latin letters and thousands of quantities, so borrowing a second alphabet roughly doubled the supply — and by long habit certain Greek letters became permanently attached to certain ideas.

All 24 lowercase Greek letters are listed below, including the three that physics almost never uses.

Lowercase Greek Letters

Symbol Name Main meanings in physics Typical SI unit
αalphaAngular acceleration; coefficient of linear thermal expansion; alpha particle; fine-structure constantrad/s2; K-1
βbetaSpeed as a fraction of light speed (v/c); beta particle; sound-level exponent in some textsdimensionless
γgammaLorentz factor; gamma ray; surface tension; ratio of specific heatsdimensionless; N/m
δdeltaA very small change; inexact differential (δQ); Dirac delta function; skin depthvaries
εepsilonPermittivity; strain; emissivity; sometimes electromotive forceF/m; dimensionless
ζzetaDamping ratio in oscillationsdimensionless
ηetaEfficiency; dynamic viscositydimensionless; Pa s
θthetaAngle or angular displacement; occasionally temperaturerad or degrees
ιiotaRarely used — too close to Latin i
κkappaThermal conductivity; dielectric constant; compressibilityW m-1 K-1
λlambdaWavelength; radioactive decay constant; linear charge density; mean free pathm; s-1; C/m
μmuCoefficient of friction; the prefix micro (10-6); magnetic permeability; reduced massdimensionless; N A-2
νnuFrequency (common in quantum work); kinematic viscosity; neutrino; Poisson’s ratioHz; m2/s
ξxiCorrelation length; a generic small displacementm
οomicronNever used — indistinguishable from the letter o
πpiThe circle constant 3.14159…; osmotic pressure; the piondimensionless
ρrhoDensity; electrical resistivity; volume charge densitykg/m3; Ω m; C/m3
σsigmaStefan-Boltzmann constant; electrical conductivity; surface charge density; stress; standard deviationW m-2 K-4; S/m; Pa
τtauTorque; time constant; shear stress; proper timeN m; s; Pa
υupsilonRarely used — too close to Latin v and u
φphiPhase angle; work function in the photoelectric effect; electric potential; a second angle in 3Drad; J or eV; V
χchiElectric or magnetic susceptibilitydimensionless
ψpsiQuantum wavefunctionvaries
ωomegaAngular velocity; angular frequencyrad/s

Capital Greek Letters

Only ten Greek capitals look different from Latin capitals, so those ten are the only ones physics bothers with. The rest — Α, Β, Ε, Ζ, Η, Ι, Κ, Μ, Ν, Ο, Ρ, Τ, Υ, Χ — are visually identical to A, B, E, Z, H, I, K, M, N, O, P, T, Y, X and would be hopelessly ambiguous.

Symbol Name Main meanings in physics Typical SI unit
ΓGammaDecay width of an unstable state; circulation in fluid floweV; m2/s
ΔDelta“Change in” — the most common symbol in all of physicssame as the quantity
ΘThetaDebye temperature; the dimension of temperatureK
ΛLambdaCosmological constant; the Lambda baryon; an energy scale in particle physicsm-2; eV
ΞXiThe Xi baryon; grand partition functionvaries
ΠPi“Multiply all of these together”operator
ΣSigma“Add all of these together” — as in ΣF for the resultant forceoperator
ΦPhiMagnetic flux; electric flux; luminous fluxWb; V m; lm
ΨPsiTime-dependent wavefunctionvaries
ΩOmegaThe ohm (a unit); solid angle; number of microstates in statistical mechanicsΩ; sr

Latin Letters: The Everyday Symbols

Latin symbols do the heavy lifting in school and first-year physics, and they are worse offenders than Greek for double meanings. A capital C can be capacitance, heat capacity or the coulomb, all within one chapter.

The table below gives the standard reading of each letter, with the alternatives that most often catch people out.

Symbol Usual quantity SI unit Also used for
aAccelerationm/s2Amplitude; the unit “annum”
AAream2Amplitude; A is also the unit ampere
BMagnetic flux densityT (tesla)
cSpeed of light in vacuumm/sSpecific heat capacity (J kg-1 K-1)
CCapacitanceF (farad)Heat capacity; C is also the unit coulomb
dDistance or separationmSlit spacing; differential operator
EEnergyJ (joule)Electric field strength (V/m or N/C)
fFrequencyHzFocal length; friction force
FForceN (newton)F is also the unit farad
gGravitational field strengthN/kg or m/s2g is also the unit gram
hHeightmPlanck constant; h is also the unit hour
IElectric currentA (ampere)Moment of inertia (kg m2); intensity (W/m2)
kSpring constantN/mBoltzmann constant; Coulomb constant; wavenumber
LLengthmAngular momentum (kg m2 s-1); inductance (H)
mMasskgm is also the unit metre; also the prefix milli
nAmount of substancemolRefractive index; number density; the prefix nano
pMomentumkg m/sPressure (Pa); the prefix pico
PPowerW (watt)Pressure (Pa)
QElectric chargeC (coulomb)Heat transferred (J); quality factor
rRadius or separationm
RElectrical resistanceΩ (ohm)Molar gas constant; resultant; radius of a large body
sDisplacementms is also the unit second
tTimesCelsius temperature; thickness
TThermodynamic temperatureK (kelvin)Period (s); tension (N); T is also the unit tesla
uInitial velocitym/sInternal energy; u is also the atomic mass unit
vVelocity or speedm/sV is the unit volt
VPotential differenceV (volt)Volume (m3)
WWork doneJ (joule)Weight; W is also the unit watt

Notice the pattern in the last column: nearly every clash is between a quantity symbol and a unit symbol. That is precisely what the italic rule exists to prevent.

Unit and Prefix Symbols, and the μ Problem

Unit symbols are the strictest part of the whole system: they are fixed by international agreement, printed upright, and never take a plural s. Write 75 cm, never 75 cms — that exact example comes straight from NIST’s rules for printing unit symbols. Quantity symbols, by contrast, are only recommendations that authors may override as long as they say so.

Capitalisation is not decorative either. A unit symbol starts with a capital only when the unit honours a person — N for Newton, K for Kelvin, Pa for Pascal — which is why it is m for metre but W for watt.

Then come the prefixes, and this is where μ earns its reputation.

Prefix Symbol Multiplier Seen in
teraT1012TW of global power demand
gigaG109GHz processor clock
megaM106MW power station output
kilok103kJ, km, kΩ
decid10-1dB (decibel)
centic10-2cm, cm3
millim10-3mA, ms, mm
microμ10-6μF, μm, μs
nanon10-9nm of visible light
picop10-12pF, ps
femtof10-15fm, the scale of a nucleus

Those are the eleven you will meet most; the full SI set now runs to 24 prefixes, after ronna, quetta, ronto and quecto were added in 2022. If you need to move a value between them, our SI Prefix Converter re-expresses any number in a different prefix and shows the power of ten it used, which is far safer than shifting a decimal point by hand at 1 a.m.

One rule here catches almost everyone: prefixes cannot be stacked, and the kilogram already contains one. So a millionth of a kilogram is written 1 mg, never 1 μkg.

So: μ as a prefix means multiply by 10-6. μ as a quantity symbol means the coefficient of friction. μ with a subscript zero means the magnetic permeability of free space. Same glyph, three unrelated jobs.

Physics symbols - Diagram showing the three different meanings of the mu symbol in physics: coefficient of friction, the micro prefix, and magnetic permeability

Context, not the glyph, tells you which μ you are looking at.

The trick is not memorising which is which. It is noticing that a prefix always sits glued to a unit, while a quantity symbol stands alone — and the friction coefficient never carries a unit at all, which is discussed further in our guide to friction and its coefficients.

Notation: Italic, Upright, Deltas and Operators

Beyond the letters themselves sits a second layer of meaning: typeface, subscripts, bars, hats and operators. This layer carries real information, and skipping it is how students end up solving the wrong equation.

The single most important rule is the typeface one, set out by NIST in the US edition of the SI brochure: quantity symbols are printed in italic and unit symbols upright. So m is a mass and m is a metre, and the difference is a slant.

Delta is the workhorse. Capital Δ always means a change, computed as final minus initial:

Δx = x2 – x1
  • Δx — the change in position (displacement), in metres (m)
  • x2 — the final position, in metres (m)
  • x1 — the initial position, in metres (m)

Because Δ subtracts, it can be negative even when the quantity itself cannot. A temperature of −5 K is impossible; a temperature change of −5 K happens every autumn evening.

Notation Read it as Example
ΔChange in (final minus initial)ΔT = 20 K
δA very small change, or a path-dependent oneδQ, a small quantity of heat
dAn infinitesimal change (a derivative)dv/dt is acceleration
Partial derivative: vary one thing, freeze the restWave and heat equations
Add all of these togetherΣF = ma
Multiply all of these togetherProbability chains
Integral: the area under a curve, added continuouslyWork from a varying force
Del or nabla: how steeply a field changes in spaceMaxwell’s equations
Proportional toF 1/r2
bold vA vector: magnitude and directionMomentum p = mv
|v|The magnitude only, direction discardedSpeed is |v|
subscript 0The initial or reference valuev0, ε0, L0
subscript wordA label, not a variable — so it stays uprightFnet, vmax

Two of these deserve a warning. Bold type marks a vector, so v and v are genuinely different objects — a point covered in our explainer on scalar and vector quantities.

And a subscript is not always the same kind of thing. In v1 the 1 counts objects; in Fnet the “net” is a description; in ε0 the zero is part of the constant’s name.

Physics Symbols Lab

Symbols for the Physical Constants

Constants get their own symbols, and unlike quantity symbols these are near-universal — c means the speed of light in every textbook on Earth. The values below are the CODATA 2022 set recommended by NIST; several are now exact by definition rather than measured.

Symbol Constant Value Status
cSpeed of light in vacuum299,792,458 m s−1Exact by definition
hPlanck constant6.626 070 15 × 10−34 J Hz−1Exact by definition
eElementary charge1.602 176 634 × 10−19 CExact by definition
kBBoltzmann constant1.380 649 × 10−23 J K−1Exact by definition
NAAvogadro constant6.022 140 76 × 1023 mol−1Exact by definition
RMolar gas constant8.314 462 618… J mol−1 K−1Exact by definition
σStefan–Boltzmann constant5.670 374 419… × 10−8 W m−2 K−4Exact by definition
GNewtonian constant of gravitation6.674 30 × 10−11 m3 kg−1 s−2Measured (CODATA 2022)
meElectron mass9.109 383 7139 × 10−31 kgMeasured (CODATA 2022)
mpProton mass1.672 621 925 95 × 10−27 kgMeasured (CODATA 2022)
ε0Vacuum electric permittivity8.854 187 8188 × 10−12 F m−1Measured (CODATA 2022)
μ0Vacuum magnetic permeability1.256 637 061 27 × 10−6 N A−2Measured (CODATA 2022)
αFine-structure constant7.297 352 5643 × 10−3 (about 1/137.036)Measured (CODATA 2022)

The seven exact constants are the ones that now define the SI base units: since the 2019 redefinition their values are fixed by agreement, and it is the kilogram, kelvin, ampere and mole that are derived from them rather than the other way round.

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