Credits

National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 300+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 2200+ more calculators!

Bohr's Radius Solution

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)
FINAL ANSWER
12.4470588235294 Picometer <-- Bohr Radius
(Calculation completed in 00.015 seconds)

10+ Bohr's atomic model Calculators

Radius of Bohr's orbit
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's Radius Formula

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).

FAQ

What is Bohr's 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 and is represented as a0 = (n/Z)*0.529*10^(-10) or Bohr Radius = (Quantum Number/Atomic Number)*0.529*10^(-10). Quantum Number describe values of conserved quantities in the dynamics of a quantum system & Atomic Number is the number of protons present inside the nucleus of an atom of an element.
How to calculate Bohr's 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 is calculated using Bohr Radius = (Quantum Number/Atomic Number)*0.529*10^(-10). To calculate Bohr's Radius, you need Quantum Number (n) & Atomic Number (Z). With our tool, you need to enter the respective value for Quantum Number & Atomic Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!