## Credits

National Institute of Technology (NIT), Jamshedpur
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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STEP 0: Pre-Calculation Summary
Formula Used
Bohr Radius = (Quantum Number/Atomic Number)*0.529*10^(-10)
a0 = (n/Z)*0.529*10^(-10)
This formula uses 2 Variables
Variables Used
Quantum Number- Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
Atomic Number- Atomic Number is the number of protons present inside the nucleus of an atom of an element.
STEP 1: Convert Input(s) to Base Unit
Quantum Number: 4 --> No Conversion Required
Atomic Number: 17 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a0 = (n/Z)*0.529*10^(-10) --> (4/17)*0.529*10^(-10)
Evaluating ... ...
a0 = 1.24470588235294E-11
STEP 3: Convert Result to Output's Unit
1.24470588235294E-11 Meter -->12.4470588235294 Picometer (Check conversion here)
(Calculation completed in 00.015 seconds)

## < 10+ Bohr's atomic model Calculators

Radius of Orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2)) Go
Total energy of electron in nth orbit
Energy = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2))) Go
Radius of Bohr's orbit for the Hydrogen atom
Radius of Orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2)) Go
Velocity of electron in Bohr's orbit
Velocity of Electron = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP]) Go
Ionization potential
Ionization potential = ([Rydberg]*(Atomic Number^2))/(Quantum Number^2) Go
Velocity of Electron given Time Period of Electron
Velocity of Electron = (2*pi*Radius of Orbit)/Time Period of Electron Go
Radius of Bohr's orbit given atomic number
Radius of Orbit = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number Go
Velocity of electron in orbit given angular velocity
Velocity of Electron = Angular Velocity*Radius of Orbit Go
Radius of orbit given angular velocity
Radius of Orbit = Velocity of Electron/Angular Velocity Go
Wave number given frequency of photon
Wave number of particle = Frequency of Photon/[c] Go

Bohr Radius = (Quantum Number/Atomic Number)*0.529*10^(-10)
a0 = (n/Z)*0.529*10^(-10)

## What is Bohr's theory?

A theory of atomic structure in which the hydrogen atom (Bohr atom ) is assumed to consist of a proton as nucleus, with a single electron moving in distinct circular orbits around it, each orbit corresponding to a specific quantized energy state: the theory was extended to other atoms.

## How to Calculate Bohr's Radius?

Bohr's Radius calculator uses Bohr Radius = (Quantum Number/Atomic Number)*0.529*10^(-10) to calculate the Bohr Radius, The Bohr's Radius formula is defined as is a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom. Bohr Radius is denoted by a0 symbol.

How to calculate Bohr's Radius using this online calculator? To use this online calculator for Bohr's Radius, enter Quantum Number (n) & Atomic Number (Z) and hit the calculate button. Here is how the Bohr's Radius calculation can be explained with given input values -> 12.44706 = (4/17)*0.529*10^(-10).

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