How to use the bohr orbit radius calculator
Find the radius of an electron orbit in a hydrogen-like atom. Enter principal quantum number, nuclear charge in the fields above; the orbit radius are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “Bohr radius”, “electron orbit size”, “hydrogen atom orbit radius”, “calculate bohr orbit radius”, “find orbit radius”.
Formula
Variables
- n — Principal quantum number
- Z — Nuclear charge
Worked example
With principal quantum number = 3, nuclear charge = 1, the calculator gives orbit radius ≈ 476.2593 pm; orbit radius ≈ 0.4762593 nm.
Frequently asked questions
What is the bohr orbit radius calculator used for?
Find the radius of an electron orbit in a hydrogen-like atom. It helps with questions such as “Bohr radius”, “electron orbit size”, “hydrogen atom orbit radius”.
What is the formula for the bohr orbit radius calculation?
Orbit radius (pm) = 52.9177 × n × n / Z. Orbit radius (nm) = [Orbit radius] / 1000. Here n is principal quantum number, Z is nuclear charge.
What inputs do I need for the bohr orbit radius calculator?
You need principal quantum number, nuclear charge. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the bohr orbit radius calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the bohr orbit radius result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.