1. What is the Bohr Model?

The Bohr model is a quantum physics-based description of the hydrogen atom proposed by Niels Bohr in 1913. It describes electrons orbiting the nucleus at specific energy levels.

2. How Does the Calculator Work?

The calculator uses the Bohr model equation:

Where:

• \( E_n \) — Energy of the electron in the nth orbit (eV)
• \( n \) — Principal quantum number (integer ≥1)
• 13.6 — Ground state energy of hydrogen (eV)

Explanation: The negative sign indicates the electron is bound to the nucleus. Higher n values correspond to less negative (higher) energy states.

3. Importance of Energy Level Calculation

Details: Calculating energy levels helps understand atomic spectra, electron transitions, and the quantized nature of atomic energy states.

4. Using the Calculator

Tips: Enter the principal quantum number (n) as a positive integer (1, 2, 3, ...). The calculator will compute the corresponding energy level in electron volts (eV).

5. Frequently Asked Questions (FAQ)

Q1: Why is the energy negative?
A: Negative energy indicates the electron is bound to the nucleus. Zero energy would mean the electron is free.

Q2: What is the ground state energy?
A: For n=1, E₁ = -13.6 eV. This is the most stable, lowest energy state of hydrogen.

Q3: What happens when n approaches infinity?
A: As n→∞, E→0, representing ionization (electron no longer bound to the atom).

Q4: Does this work for other elements?
A: The simple Bohr model only works exactly for hydrogen-like atoms (single electron systems like He⁺, Li²⁺).

Q5: How does this relate to spectral lines?
A: When electrons transition between levels, photons are emitted/absorbed with energy ΔE = E_final - E_initial.