Bohr's Radius Calculator

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Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

Structure of Atom

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Radius of Bohr's Orbit

Electrons & Orbits

Hydrogen Spectrum

✖Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Quantum Number [n_quantum]			+10% -10%
✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%

✖Bohr Radius of an Atom is a physical constant, approximately equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state.ⓘ Bohr's Radius [a_o]

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Formula

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Bohr's Radius

Formula

`"a"_{"o"} = ("n"_{"quantum"}/"Z")*0.529*10^(-10)`

Example

`"0.024894nm"=("8"/"17")*0.529*10^(-10)`

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Bohr's Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bohr Radius of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10)
a_o = (n_quantum/Z)*0.529*10^(-10)
This formula uses 3 Variables

Variables Used

Bohr Radius of an Atom - (Measured in Meter) - Bohr Radius of an Atom is a physical constant, approximately equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state.
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: 8 --> No Conversion Required
Atomic Number: 17 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_o = (n_quantum/Z)*0.529*10^(-10) --> (8/17)*0.529*10^(-10)

Evaluating ... ...

a_o = 2.48941176470588E-11

STEP 3: Convert Result to Output's Unit

2.48941176470588E-11 Meter -->0.0248941176470588 Nanometer (Check conversion here)

FINAL ANSWER

0.0248941176470588 ≈ 0.024894 Nanometer <-- Bohr Radius of an Atom

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 8 Radius of Bohr's Orbit Calculators

Radius of Bohr's Orbit

Go Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2))

Radius of Orbit

Go Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity)

Radius of Bohr's Orbit for Hydrogen Atom

Go Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))

Angular Momentum using Radius of Orbit

Go Angular Momentum using Radius Orbit = Atomic Mass*Velocity*Radius of Orbit

Radius of Bohr's Orbit given Atomic Number

Go Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number

Bohr's Radius

Go Bohr Radius of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10)

Radius of Orbit given Angular Velocity

Go Radius of Orbit given AV = Velocity of Electron/Angular Velocity

Frequency using Energy

Go Frequency using Energy = 2*Energy of Atom/[hP]

Bohr's Radius Formula

Bohr Radius of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10)
a_o = (n_quantum/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 of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10) to calculate the Bohr Radius of an Atom, 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 of an Atom is denoted by a_o symbol.

How to calculate Bohr's Radius using this online calculator? To use this online calculator for Bohr's Radius, enter Quantum Number (n_quantum) & Atomic Number (Z) and hit the calculate button. Here is how the Bohr's Radius calculation can be explained with given input values -> 2.5E+7 = (8/17)*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 a_o = (n_quantum/Z)*0.529*10^(-10) or Bohr Radius of an Atom = (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 of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10). To calculate Bohr's Radius, you need Quantum Number (n_quantum) & 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.

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