Radius of Nth Bohr's Orbit Calculator

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✖Quantum numbers are sets of values that describe certain characteristics of particles in the quantum mechanical framework, particularly electrons within an atom.ⓘ Quantum Number [n]			+10% -10%
✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%

✖Radius of nth Orbit is a radial line from the focus to any point of a curve.ⓘ Radius of Nth Bohr's Orbit [r]

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Formula

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Radius of Nth Bohr's Orbit

Formula

`"r" = ("n"^2*0.529*10^(-10))/"Z"`

Example

`"2E^-10m"=(("8")^2*0.529*10^(-10))/"17"`

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Radius of Nth Bohr's Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number
r = (n^2*0.529*10^(-10))/Z
This formula uses 3 Variables

Variables Used

Radius of nth Orbit - (Measured in Meter) - Radius of nth Orbit is a radial line from the focus to any point of a curve.
Quantum Number - Quantum numbers are sets of values that describe certain characteristics of particles in the quantum mechanical framework, particularly electrons within an atom.
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

r = (n^2*0.529*10^(-10))/Z --> (8^2*0.529*10^(-10))/17

Evaluating ... ...

r = 1.99152941176471E-10

STEP 3: Convert Result to Output's Unit

1.99152941176471E-10 Meter --> No Conversion Required

FINAL ANSWER

1.99152941176471E-10 ≈ 2E-10 Meter <-- Radius of nth Orbit

(Calculation completed in 00.004 seconds)

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Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Aditya Ranjan

Indian Institute of Technology (IIT), Mumbai

Aditya Ranjan has verified this Calculator and 50+ more calculators!

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Spacing between Atomic Lattice Planes in X-ray Diffraction

Go Interplanar Spacing = (Order of Reflection*Wavelength of X-ray)/(2*sin(Angle b/w Incident and Reflected X-Ray))

Wavelength in X-ray Diffraction

Go Wavelength of X-ray = (2*Interplanar Spacing*sin(Angle b/w Incident and Reflected X-Ray))/Order of Reflection

Wavelength of Emitted Radiation for Transition between States

Go Wavelength = [Rydberg]*Atomic Number^2*(1/Energy State n1^2-1/Energy State n2^2)

Quantization of Angular Momentum

Go Quantization of Angular Momentum = (Quantum Number*Plancks Constant)/(2*pi)

Moseley's Law

Go Moseley Law = Constant A*(Atomic Weight-Constant B)

Energy in Nth Bohr's Orbit

Go Energy in nth Bohr's Unit = -13.6*(Atomic Number^2)/(Number of Level in Orbit^2)

Radius of Nth Bohr's Orbit

Go Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number

Minimum Wavelength in X-ray Spectrum

Go Wavelength = Plancks Constant*3*10^8/(1.60217662*10^-19*Voltage)

Photon Energy in State Transition

Go Energy of Photon = Plancks Constant*Frequency of Photon

Radius of Nth Bohr's Orbit Formula

Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number
r = (n^2*0.529*10^(-10))/Z

What is Bohr's Model?

The Bohr model of the atom, a radical departure from earlier, classical descriptions, was the first that incorporated quantum theory and was the predecessor of wholly quantum-mechanical models.

How to Calculate Radius of Nth Bohr's Orbit?

Radius of Nth Bohr's Orbit calculator uses Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number to calculate the Radius of nth Orbit, The Radius of nth Bohr's Orbit formula is defined as The Bohr radius for nth orbital is given by, a=n^2×ao. where ao= radius of the ground state of hydrogen atom=0.53 angstrom. Radius of nth Orbit is denoted by r symbol.

How to calculate Radius of Nth Bohr's Orbit using this online calculator? To use this online calculator for Radius of Nth Bohr's Orbit, enter Quantum Number (n) & Atomic Number (Z) and hit the calculate button. Here is how the Radius of Nth Bohr's Orbit calculation can be explained with given input values -> 2E-10 = (8^2*0.529*10^(-10))/17.

FAQ

What is Radius of Nth Bohr's Orbit?

The Radius of nth Bohr's Orbit formula is defined as The Bohr radius for nth orbital is given by, a=n^2×ao. where ao= radius of the ground state of hydrogen atom=0.53 angstrom and is represented as r = (n^2*0.529*10^(-10))/Z or Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number. Quantum numbers are sets of values that describe certain characteristics of particles in the quantum mechanical framework, particularly electrons within an atom & Atomic Number is the number of protons present inside the nucleus of an atom of an element.

How to calculate Radius of Nth Bohr's Orbit?

The Radius of nth Bohr's Orbit formula is defined as The Bohr radius for nth orbital is given by, a=n^2×ao. where ao= radius of the ground state of hydrogen atom=0.53 angstrom is calculated using Radius of nth Orbit = (Quantum Number^2*0.529*10^(-10))/Atomic Number. To calculate Radius of Nth Bohr's Orbit, 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.

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