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Bohr Radius Calculator

Compute nth orbit radius r_n = n² a₀, a₀ ≈ 5.29×10⁻¹¹ m.

Input Data

Input Principal quantum n.

Results

0m
r_n = n² a₀ = 1² × 5.29e-11 = 5.2918e-11 m

At a glance:Bohr Radius Calculator: enter parameters to compute results; complements related calculators.

Formula

r_n = n² a₀

a₀ = 4π ε₀ ħ²/(m_e e²) ≈ 5.29177×10⁻¹¹ m

How to Use

  1. Enter principal quantum number n.
  2. Get nth orbit radius r_n.

Case Studies

Ground state n=1

r₁ = a₀ ≈ 5.29×10⁻¹¹ m.

FAQ

Applicability?

Approximate for hydrogen and hydrogen-like ions; multi-electron needs correction.

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

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