Raio Bohr
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
r_n = r₀n²
About this calculator
The Bohr Radius Calculator is an online tool that calculates the radius of a hydrogen atom at a given energy level. It uses the formula rn = 0.529·n² Å, where n is the principal quantum number and rn is the radius of the atom.
The formula is based on the Bohr atomic model, which describes the atom as a centralized nucleus with electrons orbiting around it. The radius of the atom is directly proportional to the square of the principal quantum number, which means that as the quantum number increases, the radius of the atom also increases.
This calculator is useful for students of quantum physics and chemistry, as it allows them to calculate the radius of a hydrogen atom at different energy levels. Additionally, it is important to be careful when entering values, as small errors can lead to significantly different results.
Furthermore, it is important to note that the Bohr model is a simplification of the real atom and does not take into account many important quantum effects. However, it is still a valuable tool for understanding the basic concepts of quantum physics and atomic structure.
Frequently asked questions
What is the Bohr radius?
The Bohr radius is the radius of a hydrogen atom in its ground state, which is approximately 0.529 Å.
How do I calculate the radius of a hydrogen atom?
The radius of a hydrogen atom can be calculated using the formula rn = 0.529·n² Å, where n is the principal quantum number.
What is the importance of the Bohr radius?
The Bohr radius is important because it provides a measure of the size of a hydrogen atom and is used in many chemical and physical applications.
What is the Bohr model?
The Bohr model is an atomic model that describes the atom as a centralized nucleus with electrons orbiting around it.
What are the limitations of the Bohr model?
The Bohr model is a simplification of the real atom and does not take into account many important quantum effects, such as electron spin and electron-electron interaction.