Calcolatore Modello di Bohr
Calcola i livelli energetici dell'atomo di idrogeno con il modello di Bohr.
Energy Level
-13.600000 eV
Energy Level vs Atomic Number (Z)
Formula
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
The Bohr radius scales as a0 * n^2 / Z, where a0 = 5.292 x 10^-11 m.
Negative energy means the electron is bound.
Esempio Risolto
Ground state of hydrogen (Z = 1, n = 1).
- 01E_1 = -13.6 * 1^2 / 1^2
- 02E_1 = -13.6 eV
- 03r_1 = 5.292e-11 * 1 / 1 = 5.292e-11 m (0.529 angstroms)
Domande Frequenti
Does the Bohr model work for multi-electron atoms?
Only approximately. It works well for hydrogen and hydrogen-like ions (He+, Li2+). For multi-electron atoms, the full quantum mechanical treatment is needed.
What happens as n approaches infinity?
The energy approaches zero, meaning the electron is freed (ionisation). The ionisation energy of hydrogen is 13.6 eV.
Why are the energy levels negative?
By convention, a free electron at rest has zero energy. A bound electron has less energy (it released energy to become bound), hence negative values.
Impara