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

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 n. 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).

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