Calculadora de Energía del Modelo de Bohr — Fórmula

Bohr Model Energy Levels

The Bohr model gives the energy of an electron in a hydrogen-like (one-electron) atom.

Formula

E_n = -13.6 Z^2 / n^2 eV

  • *Z* = nuclear charge (atomic number)
  • *n* = principal quantum number (1, 2, 3, ...)

    • The Bohr radius scales as a0 * n^2 / Z, where a0 = 5.292 x 10^-11 m.

    Negative energy means the electron is bound.

    Ejemplo Resuelto

    Ground state of hydrogen (Z = 1, n = 1).

    1. E_1 = -13.6 * 1^2 / 1^2
    2. E_1 = -13.6 eV
    3. r_1 = 5.292e-11 * 1 / 1 = 5.292e-11 m (0.529 angstroms)