Greek Alphabet in Engineering

The 24 Greek letters with upper and lower case and the symbols they usually stand for in engineering.

Engineers run out of Latin letters quickly, so Greek letters stand for many quantities: α for angular acceleration, σ for stress, ρ for density, ω for angular velocity, Ω for ohms. This chart lists all 24 letters with their upper and lower case forms and the meanings they commonly carry in mechanics, heat transfer, electrical engineering and statistics.

The table

24 rows
NameUpper caseLower casePosition in the alphabetCommon uses in engineering
AlphaΑα1angular acceleration, thermal diffusivity, coefficient of thermal expansion
BetaΒβ2angle, current gain of a transistor, reliability index
GammaΓγ3shear strain, heat capacity ratio, specific weight
DeltaΔδ4a change or difference (upper case), deflection, small change
EpsilonΕε5strain, permittivity, emissivity, small error
ZetaΖζ6damping ratio
EtaΗη7efficiency, dynamic viscosity (sometimes)
ThetaΘθ8angle, temperature, angular position
IotaΙι9rarely used in engineering
KappaΚκ10curvature, thermal conductivity (older texts)
LambdaΛλ11wavelength, eigenvalue, thermal conductivity, failure rate
MuΜμ12micro (10 to the minus 6), coefficient of friction, dynamic viscosity, mean
NuΝν13kinematic viscosity, Poisson ratio, frequency
XiΞξ14damping or a generalized coordinate
OmicronΟο15rarely used
PiΠπ16ratio of circumference to diameter (lower case), product (upper case)
RhoΡρ17density, resistivity, correlation coefficient
SigmaΣσ18normal stress, standard deviation, sum (upper case), electrical conductivity
TauΤτ19shear stress, time constant, torque
UpsilonΥυ20rarely used
PhiΦφ21angle, phase, magnetic flux, diameter symbol (similar)
ChiΧχ22chi-squared statistic
PsiΨψ23angle, stream function, pressure (psi unit is unrelated)
OmegaΩω24angular velocity (lower case), ohm (upper case), solid angle

Source and notes: The 24 letters of the modern Greek alphabet. Uses are the common conventions in mechanics, heat transfer, electrical engineering and statistics; meanings differ between fields and authors, so always define a symbol where you first use it.

How to use this table

  1. Find the letter by its name or shape (the filter box searches the uses too).
  2. Check the meaning in your field: the same letter means different things in different subjects.
  3. Always define a symbol where you first use it.

Worked example: reading a formula

  • In the Reynolds number Re = ρ v D ÷ μ, ρ (rho) is the density and μ (mu) the dynamic viscosity; with kinematic viscosity ν (nu) it becomes Re = v D ÷ ν.
  • In σ = F ÷ A σ (sigma) is normal stress; in τ = T r ÷ J τ (tau) is shear stress; and in η = Pout ÷ Pin η (eta) is efficiency.

Notes and cautions

  • Upper-case letters that look like Latin ones (Α, Β, Ε, Ζ, Η, Ι, Κ, Μ, Ν, Ο, Ρ, Τ, Υ, Χ) are rarely used as symbols: lower case is far more common.
  • The symbol φ (phi) is often confused with the diameter symbol ⌀ and with the empty-set sign ∅; they are different characters.
  • μ for micro (10⁻⁶) is the Greek letter mu; in plain text it is often written “u”.

FAQ

What is the symbol for ohms?

The upper-case omega, Ω.

What does sigma stand for?

Normal stress, a standard deviation (lower case σ) or a sum (upper case Σ).

What is pi?

The ratio of a circle’s circumference to its diameter, 3.14159265… (lower case π).

Sources

  • The Unicode Standard, Greek and Coptic block; ISO 80000-1 (quantities and units: general) for the symbols of quantities.
  • The 24 letters of the modern Greek alphabet. Uses are the common conventions in mechanics, heat transfer, electrical engineering and statistics; meanings differ between fields and authors, so always define a symbol where you first use it.