Calculadora de Niveles de Energía del Modelo de Bohr
Calcula los niveles de energía del átomo de hidrógeno usando el modelo de Bohr. Ingresa el número cuántico principal para obtener la energía.
Energy Level
-13.600000 eV
Energy Level vs Atomic Number (Z)
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
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).
- 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)
Preguntas Frecuentes
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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