Fine Structure Calculator

Calculate relativistic and spin-orbit fine structure corrections

Atomic Number (Z):

Principal Quantum Number (n):

Orbital Quantum Number (l) - optional:

Total Angular Momentum (j) - optional:

E_fs = E_0 * (alpha^2 * Z^2 / n) * (n/(j+1/2) - 3/4)

alpha = e^2/(4*pi*epsilon_0*hbar*c) = 1/137.036

E_0 = -13.6 * Z^2 / n^2 eV

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MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

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Formula Source: University Physics

by Young & Freedman

ðŸ”„Last reviewed: May 2026

âœ“Formula checks are based on standard references and internal QA review.