1. What is the Bohr Formula?

The Bohr formula calculates the energy levels of an electron in a hydrogen atom according to the Bohr model. It provides the quantized energy states that electrons can occupy in a hydrogen atom.

2. How Does the Calculator Work?

The calculator uses the Bohr energy formula:

Where:

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

Explanation: The negative sign indicates bound states, with energy increasing (becoming less negative) as n increases.

3. Importance of Bohr Energy Calculation

Details: The Bohr model was crucial in early quantum physics, explaining atomic spectra and introducing quantized energy levels. While superseded by quantum mechanics, it remains pedagogically important.

4. Using the Calculator

Tips: Enter any positive integer for the quantum number n. The ground state (n=1) has energy -13.6 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 are typical values for n?
A: n=1 is the ground state, n=2 first excited state, etc. n can be any positive integer.

Q3: Does this work for other atoms?
A: The simple formula only works for hydrogen. Multi-electron atoms require more complex calculations.

Q4: What about energy differences between levels?
A: Energy differences (ΔE) between levels n₁ and n₂ can be calculated as E_n₂ - E_n₁.

Q5: How accurate is the Bohr model?
A: It accurately predicts hydrogen's spectrum but fails for more complex atoms and effects like fine structure.