Quantization of Angular Momentum 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%
✖Plancks Constant is the quantum of electromagnetic action that relates a photon's energy to its frequency.ⓘ Plancks Constant [h]			+10% -10%

✖Quantization of Angular Momentum is the rotation of the electron about its own axis, contributes towards an angular momentum of the electron.ⓘ Quantization of Angular Momentum [l_Q]

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Formula

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Quantization of Angular Momentum

Formula

`"l"_{"Q"} = ("n"*"h")/(2*pi)`

Example

`"8.441578"=("8"*"6.63")/(2*pi)`

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Quantization of Angular Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quantization of Angular Momentum = (Quantum Number*Plancks Constant)/(2*pi)
l_Q = (n*h)/(2*pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Quantization of Angular Momentum - Quantization of Angular Momentum is the rotation of the electron about its own axis, contributes towards an angular momentum of the electron.
Quantum Number - Quantum numbers are sets of values that describe certain characteristics of particles in the quantum mechanical framework, particularly electrons within an atom.
Plancks Constant - Plancks Constant is the quantum of electromagnetic action that relates a photon's energy to its frequency.

STEP 1: Convert Input(s) to Base Unit

Quantum Number: 8 --> No Conversion Required
Plancks Constant: 6.63 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Q = (n*h)/(2*pi) --> (8*6.63)/(2*pi)

Evaluating ... ...

l_Q = 8.44157818159413

STEP 3: Convert Result to Output's Unit

8.44157818159413 --> No Conversion Required

FINAL ANSWER

8.44157818159413 ≈ 8.441578 <-- Quantization of Angular Momentum

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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National Institute Of Technology (NIT), Hamirpur

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< 10+ Atom Calculators

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

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

Quantization of Angular Momentum Formula

Quantization of Angular Momentum = (Quantum Number*Plancks Constant)/(2*pi)
l_Q = (n*h)/(2*pi)

What is Quantization of Spin Angular Momentum?

Apart from revolving around the nucleus, the electron is also spinning about its own axis as the earth revolving around the Sun is also spinning about its own axis. However, this kind of analogy is not necessarily entirely correct because an electron is a quantum particle, with a point mass. It is not necessarily spinning on its own axis in the same way as the planet Earth is spinning on its own axis.

How to Calculate Quantization of Angular Momentum?

Quantization of Angular Momentum calculator uses Quantization of Angular Momentum = (Quantum Number*Plancks Constant)/(2*pi) to calculate the Quantization of Angular Momentum, The Quantization of angular momentum formula is defined as the rotation of the electron about its own axis, contributes towards an angular momentum of the electron and that angular momentum is also quantized. Quantization of Angular Momentum is denoted by l_Q symbol.

How to calculate Quantization of Angular Momentum using this online calculator? To use this online calculator for Quantization of Angular Momentum, enter Quantum Number (n) & Plancks Constant (h) and hit the calculate button. Here is how the Quantization of Angular Momentum calculation can be explained with given input values -> 8.441578 = (8*6.63)/(2*pi).

FAQ

What is Quantization of Angular Momentum?

The Quantization of angular momentum formula is defined as the rotation of the electron about its own axis, contributes towards an angular momentum of the electron and that angular momentum is also quantized and is represented as l_Q = (n*h)/(2*pi) or Quantization of Angular Momentum = (Quantum Number*Plancks Constant)/(2*pi). Quantum numbers are sets of values that describe certain characteristics of particles in the quantum mechanical framework, particularly electrons within an atom & Plancks Constant is the quantum of electromagnetic action that relates a photon's energy to its frequency.

How to calculate Quantization of Angular Momentum?

The Quantization of angular momentum formula is defined as the rotation of the electron about its own axis, contributes towards an angular momentum of the electron and that angular momentum is also quantized is calculated using Quantization of Angular Momentum = (Quantum Number*Plancks Constant)/(2*pi). To calculate Quantization of Angular Momentum, you need Quantum Number (n) & Plancks Constant (h). With our tool, you need to enter the respective value for Quantum Number & Plancks Constant 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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