Magnetic Quantum Angular Momentum Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Momentum along z Axis = (Magnetic Quantum Number*[hP])/(2*pi)
Lz = (m*[hP])/(2*pi)
This formula uses 2 Constants, 2 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angular Momentum along z Axis - Angular Momentum along z Axis is the degree to which a body rotates, gives its angular momentum.
Magnetic Quantum Number - Magnetic Quantum Number is the number which divides the subshell into individual orbitals which hold the electrons.
STEP 1: Convert Input(s) to Base Unit
Magnetic Quantum Number: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lz = (m*[hP])/(2*pi) --> (2*[hP])/(2*pi)
Evaluating ... ...
Lz = 2.10914360027823E-34
STEP 3: Convert Result to Output's Unit
2.10914360027823E-34 --> No Conversion Required
FINAL ANSWER
2.10914360027823E-34 2.1E-34 <-- Angular Momentum along z Axis
(Calculation completed in 00.005 seconds)

Credits

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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Verified by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has verified this Calculator and 300+ more calculators!

22 Schrodinger Wave Equation Calculators

Angle between Orbital Angular Momentum and z Axis
​ Go Theta = acos(Magnetic Quantum Number/(sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))))
Magnetic Quantum Number given Orbital Angular Momentum
​ Go Magnetic Quantum Number = cos(Theta)*sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))
Orbital Angular Momentum
​ Go Angular Momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*[hP]/(2*pi)
Spin Angular Momentum
​ Go Angular Momentum = sqrt(Spin Quantum Number*(Spin Quantum Number+1))*[hP]/(2*pi)
Angle between Angular Momentum and Momentum along z axis
​ Go Theta = acos(Angular Momentum along z Axis/Quantization of Angular Momentum)
Relation between Magnetic Angular Momentum and Orbital Angular Momentum
​ Go Angular Momentum along z Axis = Quantization of Angular Momentum*cos(Theta)
Magnetic Quantum Angular Momentum
​ Go Angular Momentum along z Axis = (Magnetic Quantum Number*[hP])/(2*pi)
Spin only Magnetic Moment
​ Go Magnetic Moment = sqrt((4*Spin Quantum Number)*(Spin Quantum Number+1))
Magnetic Moment
​ Go Magnetic Moment = sqrt(Quantum Number*(Quantum Number+2))*1.7
Angular Momentum using Quantum Number
​ Go Angular Momentum = (Quantum Number*[hP])/(2*pi)
Exchange Energy
​ Go Exchange Energy = (Number of Electron*(Number of Electron-1))/2
Number of Spherical Nodes
​ Go Number of Nodes = Quantum Number-Azimuthal Quantum Number-1
Number of Peaks Obtained in Curve
​ Go Number of Peaks = Quantum Number-Azimuthal Quantum Number
Energy of Electron by Principal Quantum Number
​ Go Energy = Quantum Number+Azimuthal Quantum Number
Number of Orbitals in Sub Shell of Magnetic Quantum Number
​ Go Total Number of Orbitals = (2*Azimuthal Quantum Number)+1
Total Magnetic Quantum Number Value
​ Go Magnetic Quantum Number = (2*Azimuthal Quantum Number)+1
Maximum Number of Electrons in Sub Shell of Magnetic Quantum Number
​ Go Number of Electron = 2*((2*Azimuthal Quantum Number)+1)
Number of Orbitals of Magnetic Quantum Number in Main Energy Level
​ Go Total Number of Orbitals = (Number of Orbits^2)
Total Number of Orbitals of Principal Quantum Number
​ Go Total Number of Orbitals = (Number of Orbits^2)
Spin Multiplicity
​ Go Spin Multiplicity = (2*Spin Quantum Number)+1
Maximum Number of Electron in Orbit of Principal Quantum Number
​ Go Number of Electron = 2*(Number of Orbits^2)
Total Number of Nodes
​ Go Number of Nodes = Quantum Number-1

Magnetic Quantum Angular Momentum Formula

Angular Momentum along z Axis = (Magnetic Quantum Number*[hP])/(2*pi)
Lz = (m*[hP])/(2*pi)

What is quantum number?

Quantum Number is the set of numbers used to describe the position and energy of the electron in an atom are called quantum numbers. There are four quantum numbers, namely, principal, azimuthal, magnetic and spin quantum numbers. The values of the conserved quantities of a quantum system are given by quantum numbers. An electron in an atom or ion has four quantum numbers to describe its state and yield solutions to the Schrödinger wave equation for the hydrogen atom.

How to Calculate Magnetic Quantum Angular Momentum?

Magnetic Quantum Angular Momentum calculator uses Angular Momentum along z Axis = (Magnetic Quantum Number*[hP])/(2*pi) to calculate the Angular Momentum along z Axis, The Magnetic quantum angular momentum, also known as angular momentum along z-axis is the degree to which a body rotates, gives its angular momentum. Angular Momentum along z Axis is denoted by Lz symbol.

How to calculate Magnetic Quantum Angular Momentum using this online calculator? To use this online calculator for Magnetic Quantum Angular Momentum, enter Magnetic Quantum Number (m) and hit the calculate button. Here is how the Magnetic Quantum Angular Momentum calculation can be explained with given input values -> 2.1E-34 = (2*[hP])/(2*pi).

FAQ

What is Magnetic Quantum Angular Momentum?
The Magnetic quantum angular momentum, also known as angular momentum along z-axis is the degree to which a body rotates, gives its angular momentum and is represented as Lz = (m*[hP])/(2*pi) or Angular Momentum along z Axis = (Magnetic Quantum Number*[hP])/(2*pi). Magnetic Quantum Number is the number which divides the subshell into individual orbitals which hold the electrons.
How to calculate Magnetic Quantum Angular Momentum?
The Magnetic quantum angular momentum, also known as angular momentum along z-axis is the degree to which a body rotates, gives its angular momentum is calculated using Angular Momentum along z Axis = (Magnetic Quantum Number*[hP])/(2*pi). To calculate Magnetic Quantum Angular Momentum, you need Magnetic Quantum Number (m). With our tool, you need to enter the respective value for Magnetic Quantum Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Angular Momentum along z Axis?
In this formula, Angular Momentum along z Axis uses Magnetic Quantum Number. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Angular Momentum along z Axis = Quantization of Angular Momentum*cos(Theta)
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