Quantum Physics
Use this bohr radius calculator to calculate calculate bohr orbit radius for hydrogen-like atoms.
Calculator
Choose what you want to calculate, enter realistic values, adjust units where shown, and use the scenario section for repeated-use planning.
Radius grows with n squared and shrinks with nuclear charge.
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Trust note
Use this result as a practical estimate. Real-world conditions, local rules, measurement tolerance, and changing inputs can affect the final outcome.
r_n = a0 n^2 / Z
This calculator applies the formula r_n = a0 n^2 / Z. Enter each value with the matching unit, and AZCalculate updates the result instantly.
Assumptions
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Follow the reasoning, not only the final number.
Enter the known values in the calculator fields.
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Keep the units consistent with the labels shown beside each input.
This step transforms the known values into the form required by the formula.
Apply the formula: r_n = a0 n^2 / Z.
This step transforms the known values into the form required by the formula.
Review the primary result and supporting values.
Compare the result with your real-world goal, such as study bohr model.
Worked example
Bohr radius: 0 m; Bohr radius: 52.9177 pm
Calculator guide
Calculate Bohr orbit radius for hydrogen-like atoms. This page includes an interactive calculator, concise formula notes, worked examples, FAQs, related calculators, and practical guidance you can revisit whenever needed.
References
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FAQ
It uses r_n = a0 n^2 / Z and calculates the result from the values you enter.
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Use it as an estimate and compare it with the formula, assumptions, and examples shown on the page.
Real-world inputs can include local rules, changing rates, measurement tolerances, and conditions outside the core formula.
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The calculator follows the formula shown on this page. Accuracy depends on the values, units, assumptions, and rounding used in your scenario.
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