Raio Bohr n=?
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
This calculator computes the radius of a hydrogen atom or hydrogen-like ions based on the Bohr model, using the formula rₙ = n²·a₀. The radius depends on the principal quantum number (n), which represents the electron's energy level. The a₀ (Bohr radius) is approximately 0.529 angstroms, serving as the base unit.
The tool is helpful for students and researchers in atomic physics, particularly for simplified atomic structure calculations. Simply input the value of n to get the corresponding radius. However, the Bohr model is a historical approximation and is not applicable to atoms with multiple electrons.
While calculating the radius, note that the Bohr model doesn't account for modern quantum effects like wave-particle duality or electron uncertainty. It's valid only for single-electron systems like hydrogen or ions such as He⁺, Li²⁺. For more complex scenarios, advanced quantum mechanics methods are required.
Frequently asked questions
What is the Bohr radius calculator used for?
It calculates the radius of hydrogen atoms or hydrogen-like ions in different energy levels according to the Bohr atomic model.
What formula does the calculator use?
The formula is rₙ = n²·a₀, where n is the principal quantum number and a₀ is the Bohr radius (approximately 0.529 Å).
What if the n value is not an integer?
The Bohr model requires n to be a positive integer (1, 2, 3...), representing quantized energy levels.
Why is the Bohr model still relevant today?
It's a fundamental teaching model for understanding energy quantization, even though it's not accurate for complex atoms.
Are there limitations to this calculator?
Yes, it only works for single-electron systems (hydrogen and hydrogen-like ions), not for multi-electron atoms.