# Energy Level of a Hydrogen Atom (Bohr's Model)

**Formula:**`E_n = -13.6 eV / n^2`

## Introduction to Energy Levels of a Hydrogen Atom Calculator

The energy level of a hydrogen atom is given by Bohr's formula, where ** E_n** is the energy in electron volts (eV) of the electron at a given quantum number

**. The quantum numbers are positive integers (n=1,2,3,...) representing the principal quantum number corresponding to the electron orbitals. According to Bohr's model, the energy is quantized, and each level is related to an orbital with a specific radius. The energy value is negative, indicating that energy is released when an electron transitions to a lower orbit (closer to nucleus).**

*n*## Parameter usage:

`n`

- the principal quantum number (positive integer).

## Example valid values:

`n`

= 1 (Ground state)`n`

= 2 (First excited state)

## Output:

`energy`

= energy level in electron volts (eV)

## Data validation

Parameter `n`

must be a positive integer representing the quantum number of an electron orbital. Non-integer and negative or zero values will result in an error message.

## Practical applications

This calculation is significant in fields like atomic physics, quantum mechanics, and spectroscopy. It aids in understanding electron transitions, photon emission/absorption, and the spectral lines of hydrogen.

Tags: Quantum Mechanics, Hydrogen Atom, Bohr S Model, Energy Levels