Bohr Orbit Radius Calculator
⚛ Atomic & Quantum. Use the Bohr orbit radius formula to find radius, level n, atomic number z: pick the value you want, type the others, and the answer updates as you go.
Radius52.918 pm
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Radius | pm |
| Level n | no unit |
| Atomic number Z | no unit |
Worked example
Find the radius when Level n = 1, Atomic number Z = 1.
Using rn = (n² a0)/Z: Radius = 52.918 pm.
Frequently asked questions
What is the formula for Bohr orbit radius?
rn = (n² a0)/Z.
What do the letters stand for, and what units are used?
Radius in pm, Level n, Atomic number Z.
How do you calculate radius?
Put the values into rn = (n² a0)/Z. For example, with Level n = 1, Atomic number Z = 1, radius = 52.918 pm.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (radius, level n, atomic number z) and fill in the others: it rearranges the formula for you.
