Bohr Model Energy Calculator

Calculate the energy of an electron in a hydrogen-like atom at quantum level n: E_n = -13.6 * Z^2 / n^2 eV.

Energy Level

-13.600000 eV

Energy (J)-0.0000000000000000021787 J
Radio Orbital0.00000000005292 m

Energy Level vs Atomic Number (Z)

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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. 01E_1 = -13.6 * 1^2 / 1^2
  2. 02E_1 = -13.6 eV
  3. 03r_1 = 5.292e-11 * 1 / 1 = 5.292e-11 m (0.529 angstroms)