🔣 Symbol Reference

Greek Alphabet Symbols for Math and Science

Greek letters like α β γ δ π Σ Ω are widely used as mathematical and scientific symbols and are available as Unicode characters in the Greek and Coptic block. This guide lists every Greek letter character with its code point, Unicode name, common usage in math and science, and copy-paste support.

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Greek letters are among the most frequently needed symbols in mathematics, science, and engineering. From α (alpha) in statistics to Ω (omega) in electrical engineering, the 24-letter Greek alphabet provides a rich vocabulary for variables, constants, and operators. This guide covers every Greek letter's Unicode code point, its mathematical meaning, and its LaTeX equivalent.

Complete Greek Alphabet Table

Uppercase Letters

Symbol Name Code Point HTML Entity LaTeX Common Use
Α Alpha U+0391 Α A Angles, alpha particles
Β Beta U+0392 Β B Beta decay, beta distribution
Γ Gamma U+0393 Γ \Gamma Gamma function, gamma ray
Δ Delta U+0394 Δ \Delta Change/difference, discriminant
Ε Epsilon U+0395 Ε E (rare in math; lowercase used)
Ζ Zeta U+0396 Ζ Z (rare in math)
Η Eta U+0397 Η H (rare in math)
Θ Theta U+0398 Θ \Theta Angle, Landau big-theta
Ι Iota U+0399 Ι I (rare in math)
Κ Kappa U+039A Κ K (rare in math)
Λ Lambda U+039B Λ \Lambda Lambda calculus, wavelength
Μ Mu U+039C Μ M (rare in math)
Ν Nu U+039D Ν N (rare in math)
Ξ Xi U+039E Ξ \Xi Cascade baryon
Ο Omicron U+039F Ο O (rare in math)
Π Pi U+03A0 Π \Pi Product operator
Ρ Rho U+03A1 Ρ P (rare in math)
Σ Sigma U+03A3 Σ \Sigma Summation operator
Τ Tau U+03A4 Τ T (rare in math)
Υ Upsilon U+03A5 Υ \Upsilon (rare in math)
Φ Phi U+03A6 Φ \Phi Electric flux, golden ratio
Χ Chi U+03A7 Χ X Chi-squared distribution
Ψ Psi U+03A8 Ψ \Psi Wave function (quantum mech.)
Ω Omega U+03A9 Ω \Omega Ohm, big-O complexity

Lowercase Letters

Symbol Name Code Point HTML Entity LaTeX Common Use
α Alpha U+03B1 α \alpha Significance level, alpha particles, Euler–Mascheroni
β Beta U+03B2 β \beta Beta function, regression coefficient
γ Gamma U+03B3 γ \gamma Euler–Mascheroni constant, Lorentz factor
δ Delta U+03B4 δ \delta Kronecker delta, infinitesimal
ε Epsilon U+03B5 ε \epsilon Small positive quantity (analysis)
ζ Zeta U+03B6 ζ \zeta Riemann zeta function
η Eta U+03B7 η \eta Efficiency, viscosity
θ Theta U+03B8 θ heta Angle variable
ι Iota U+03B9 ι \iota (mostly historical)
κ Kappa U+03BA κ \kappa Curvature, thermal conductivity
λ Lambda U+03BB λ \lambda Wavelength, eigenvalue, decay constant
μ Mu U+03BC μ \mu Mean, micro- prefix (μm), permeability
ν Nu U+03BD ν `
u` Frequency, kinematic viscosity
ξ Xi U+03BE ξ \xi Random variable (probability)
ο Omicron U+03BF ο o (rarely used in math)
π Pi U+03C0 π \pi 3.14159…, ratio circumference/diameter
ρ Rho U+03C1 ρ `
ho` Density, correlation coefficient
σ Sigma U+03C3 σ \sigma Standard deviation, conductivity
ς Final sigma U+03C2 ς \varsigma Greek word-final form
τ Tau U+03C4 τ au Time constant, torque, shear stress
υ Upsilon U+03C5 υ \upsilon (rare in modern math)
φ Phi U+03C6 φ \phi Golden ratio (1.618…), angle
ϕ Phi (alt form) U+03D5 ϕ \varphi Alternative phi; math uses both
χ Chi U+03C7 χ \chi Chi-squared (χ²)
ψ Psi U+03C8 ψ \psi Wave function (Schrödinger eq.)
ω Omega U+03C9 ω \omega Angular frequency, complex root of unity

Special and Variant Greek Letters

Unicode includes several variant forms of Greek letters that appear specifically in mathematical contexts:

Symbol Name Code Point LaTeX Notes
ϑ Theta symbol (script theta) U+03D1 \vartheta Alternative theta used in physics
ϒ Upsilon with hook U+03D2 \Upsilon Used in particle physics
ϖ Pi symbol (omega pi) U+03D6 \varpi Archaic; used in orbital mechanics
ϰ Kappa symbol U+03F0 \varkappa Variant kappa in math
ϱ Rho symbol U+03F1 \varrho Variant rho
ϵ Lunate epsilon U+03F5 \epsilon Mathematical epsilon (vs ε U+03B5)
Partial differential U+2202 \partial Partial derivative (looks like δ)
Nabla U+2207 `
abla` Gradient/divergence/curl operator

The difference between \epsilon (ε/ϵ) and \varepsilon in LaTeX, or \phi (φ) and \varphi (ϕ), matters in mathematical typesetting because some communities use one form and some use the other. Unicode encodes both to allow faithful representation of existing mathematical literature.


Greek Letters in Mathematics

Analysis and Calculus

Letter Typical meaning
δ, ε The "epsilon-delta" definition of limits: for every ε > 0, there exists δ > 0...
Partial derivative: ∂f/∂x
Gradient: ∇f = (∂f/∂x, ∂f/∂y, ∂f/∂z)
Δ Finite difference: Δx = x₂ − x₁
Σ Summation: Σᵢ₌₁ⁿ xᵢ
Π Product: Πᵢ₌₁ⁿ xᵢ
Integral (Latin, not Greek, but related: ∫ = long S for "summa")

Statistics and Probability

Letter Typical meaning
μ Population mean
σ Population standard deviation
σ² Variance
ρ Pearson correlation coefficient
α Significance level (type I error rate)
β Type II error rate; regression coefficient
χ² Chi-squared statistic
λ Rate parameter of Poisson/exponential distribution
Φ CDF of standard normal distribution
φ PDF of standard normal distribution

Physics

Letter Typical meaning
λ Wavelength
ν Frequency
ω Angular frequency (ω = 2πν)
γ Lorentz factor; photon; gamma ray
α Fine-structure constant (~1/137); alpha particle
β Beta particle; velocity/c
τ Proper time; time constant; tau lepton
ψ Wave function in quantum mechanics
Ψ Many-particle wave function
Ω Solid angle; ohm (electrical resistance)
μ Magnetic permeability; muon
ε Permittivity; small parameter
θ Scattering angle; Weinberg angle

Computer Science

Letter Typical meaning
λ Anonymous function (lambda calculus); AWS Lambda
Ω Big-Omega (lower bound of asymptotic complexity)
Θ Big-Theta (tight asymptotic bound)
Σ Alphabet (set of symbols) in formal language theory
δ Transition function in automata theory
π Projection in relational algebra
σ Selection in relational algebra

Greek Letters in Engineering

Field Letter Meaning
Electrical Ω Ohm (resistance)
Electrical μ Micro prefix (10⁻⁶); permeability
Electrical ε Permittivity
Mechanical τ Shear stress; torque
Mechanical σ Normal stress
Mechanical ν Poisson's ratio
Mechanical ρ Density
Thermodynamics η Thermal efficiency
Thermodynamics γ Heat capacity ratio (Cp/Cv)
Fluid dynamics ρ Fluid density
Fluid dynamics μ Dynamic viscosity
Fluid dynamics ν Kinematic viscosity (= μ/ρ)
Optics λ Wavelength
Optics φ, θ Phase angle

Keyboard Input Methods

Windows

On Windows, you can insert Greek letters using: 1. Character Map (charmap.exe) — search for "Greek" 2. Alt codes for a few common ones (but most require Character Map) 3. Word/Office — Insert > Symbol > Greek subset 4. LaTeX — If using a LaTeX environment, standard commands work

Mac

  1. Greek keyboard layout — System Preferences > Keyboard > Input Sources > Greek
  2. Character ViewerControl + Command + Space, search for "alpha" etc.
  3. Word autocorrect — Many apps convert \alpha typed followed by space

HTML/Web

Always use HTML entities or direct Unicode characters in UTF-8 encoded pages:

<!-- Option 1: Direct Unicode (recommended for UTF-8 pages) -->
<p>The wavelength λ is measured in nanometres.</p>

<!-- Option 2: HTML numeric entity (works anywhere) -->
<p>The wavelength &#955; is measured in nanometres.</p>

<!-- Option 3: Named entity (limited — only &alpha; to &omega; etc. are named) -->
<p>The wavelength &lambda; is measured in nanometres.</p>

LaTeX Quick Reference

% Lowercase Greek
\alpha \beta \gamma \delta \epsilon \varepsilon \zeta \eta
\theta \vartheta \iota \kappa \lambda \mu \nu \xi
\pi \varpi \rho \varrho \sigma \varsigma \tau \upsilon
\phi \varphi \chi \psi \omega

% Uppercase Greek (only those differing from Latin)
\Gamma \Delta \Theta \Lambda \Xi \Pi \Sigma \Upsilon \Phi \Psi \Omega

% Example equation
\sigma = \sqrt{\frac{1}{N}\sum_{i=1}^{N}(x_i - \mu)^2}

Note: Uppercase Greek letters that look identical to their Latin counterparts (A, B, E, Z, H, I, K, M, N, O, P, T, X) are not separately defined in LaTeX — you simply use the Latin letter.


Python/Programming Reference

# Greek letter Unicode code points
GREEK_UPPER = {
    "Alpha":   "\u0391",  # Α
    "Beta":    "\u0392",  # Β
    "Gamma":   "\u0393",  # Γ
    "Delta":   "\u0394",  # Δ
    "Epsilon": "\u0395",  # Ε
    "Zeta":    "\u0396",  # Ζ
    "Eta":     "\u0397",  # Η
    "Theta":   "\u0398",  # Θ
    "Iota":    "\u0399",  # Ι
    "Kappa":   "\u039A",  # Κ
    "Lambda":  "\u039B",  # Λ
    "Mu":      "\u039C",  # Μ
    "Nu":      "\u039D",  # Ν
    "Xi":      "\u039E",  # Ξ
    "Omicron": "\u039F",  # Ο
    "Pi":      "\u03A0",  # Π
    "Rho":     "\u03A1",  # Ρ
    "Sigma":   "\u03A3",  # Σ
    "Tau":     "\u03A4",  # Τ
    "Upsilon": "\u03A5",  # Υ
    "Phi":     "\u03A6",  # Φ
    "Chi":     "\u03A7",  # Χ
    "Psi":     "\u03A8",  # Ψ
    "Omega":   "\u03A9",  # Ω
}

GREEK_LOWER = {
    "alpha":   "\u03B1",  # α
    "beta":    "\u03B2",  # β
    "gamma":   "\u03B3",  # γ
    "delta":   "\u03B4",  # δ
    "epsilon": "\u03B5",  # ε
    "zeta":    "\u03B6",  # ζ
    "eta":     "\u03B7",  # η
    "theta":   "\u03B8",  # θ
    "iota":    "\u03B9",  # ι
    "kappa":   "\u03BA",  # κ
    "lambda":  "\u03BB",  # λ
    "mu":      "\u03BC",  # μ
    "nu":      "\u03BD",  # ν
    "xi":      "\u03BE",  # ξ
    "omicron": "\u03BF",  # ο
    "pi":      "\u03C0",  # π
    "rho":     "\u03C1",  # ρ
    "sigma":   "\u03C3",  # σ
    "tau":     "\u03C4",  # τ
    "upsilon": "\u03C5",  # υ
    "phi":     "\u03C6",  # φ
    "chi":     "\u03C7",  # χ
    "psi":     "\u03C8",  # ψ
    "omega":   "\u03C9",  # ω
}

Historical Note: The Greek Alphabet in Unicode

Unicode encodes the Greek alphabet in the Greek and Coptic block (U+0370–U+03FF) and the Greek Extended block (U+1F00–U+1FFF) for polytonic diacritical forms used in ancient and scholarly Greek. The basic modern Greek letters used in mathematics all live in the U+0391–U+03C9 range.

The Unicode Standard also encodes many individual Greek-letter-like mathematical symbols in the Mathematical Alphanumeric Symbols block (U+1D400–U+1D7FF), which includes bold, italic, bold-italic, and sans-serif variants of each Greek letter for use in mathematical notation where style carries semantic meaning.

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