Modern Physics
Bohr Energy Levels
Energy levels of the hydrogen atom. Negative values indicate bound states.
Variables
EneV
Energy of level n
nunitless
Principal quantum number
Allowed values: greater than 0, whole number
Derivation
Derived from Bohr model combining classical mechanics with quantization of angular momentum.
Your notes
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Check value
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- n = 2 (Principal quantum number)
Result: En = -3.4 eV
Other modern physics formulas with the same quantities
- Hydrogen-like Atom Energy (Atomic Physics) shares Energy of level n, Principal quantum number
- Electron Orbital Radius (Atomic Physics) shares Principal quantum number
Where this formula is listed
- Modern Physics formulas, under Atomic Physics, alongside Moseley's Law.
- In the modern physics list it comes after Bohr Radius and before Hydrogen Spectrum (Rydberg).
- Modern Physics formula sheet, one of 41 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Bohr Energy Levels formula?
Bohr Energy Levels is written E_n = −(13.6 eV)/n². Energy levels of the hydrogen atom. Negative values indicate bound states. It belongs to Modern Physics, under Atomic Physics.
What are the units in E_n = −(13.6 eV)/n²?
In SI units, E_n is energy of level n, measured in eV; n is principal quantum number (dimensionless).
How is the Bohr Energy Levels formula derived?
Derived from Bohr model combining classical mechanics with quantization of angular momentum. The result is E_n = −(13.6 eV)/n².