Kostenloser Bohr Model Energie Rechner
Berechnen Sie hydrogen atom energy levels unter Verwendung von the Bohr model. Kostenloser quantum physics Rechner.
Energy Level
-13.600000 eV
Energy Level vs Atomic Number (Z)
Formel
## 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.
Lösungsbeispiel
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)
Häufig Gestellte Fragen
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.
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