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Bohr's Radius Calculator

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Radius of Bohr's Orbit Electrons and 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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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 00.006 seconds)

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National Institute of Technology (NIT), Jamshedpur

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< Radius of Bohr's Orbit Calculators

Radius of Bohr's Orbit

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

Radius of Bohr's Orbit for Hydrogen Atom

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

Radius of Bohr's Orbit given Atomic Number

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

Radius of Orbit given Angular Velocity

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

Bohr's Radius Formula

LaTeX Go

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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