Exciton Binding Energy Calculator

Calculate exciton binding energy and Bohr radius in semiconductors

Select Material:

Dielectric Constant (εᵣ):

Band Gap (eV): (optional)

Electron Effective Mass (m*/m₀):

Hole Effective Mass (m*/m₀):

About Excitons

An exciton is a bound electron-hole pair in a semiconductor, similar to a hydrogen atom but with much smaller binding energy due to dielectric screening and effective masses.

Wannier-Mott Model:

Eb = (μ/ε²) × 13.6 eV
aB = (ε/μ) × 0.529 Å
μ = me*mh*/(me* + mh*)
En = -Eb/n² (hydrogen-like)

Exciton Types:

Wannier-Mott: aB >> lattice constant
Frenkel: aB ~ lattice constant
Charge-transfer: intermediate case