Bohr Model Energy Calculator — सूत्र
## 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.
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.
हल किया गया उदाहरण
Ground state of hydrogen (Z = 1, n = 1).
- E_1 = -13.6 * 1^2 / 1^2
- E_1 = -13.6 eV
- r_1 = 5.292e-11 * 1 / 1 = 5.292e-11 m (0.529 angstroms)