Relation between Magnetic Angular Momentum and Orbital Angular Momentum Calculator

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Schrodinger Wave Equation

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

Sommerfeld Model

Structure of Atom

✖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_Quantization]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%

✖Angular Momentum along z Axis is the degree to which a body rotates, gives its angular momentum.ⓘ Relation between Magnetic Angular Momentum and Orbital Angular Momentum [L_z]

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Formula

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Relation between Magnetic Angular Momentum and Orbital Angular Momentum

Formula

`"L"_{"z"} = "l"_{"Quantization"}*cos("θ")`

Example

`"19.05256"="22"*cos("30°")`

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Relation between Magnetic Angular Momentum and Orbital Angular Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Momentum along z Axis = Quantization of Angular Momentum*cos(Theta)
L_z = l_Quantization*cos(θ)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Angular Momentum along z Axis - Angular Momentum along z Axis is the degree to which a body rotates, gives its angular momentum.
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.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Quantization of Angular Momentum: 22 --> No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_z = l_Quantization*cos(θ) --> 22*cos(0.5235987755982)

Evaluating ... ...

L_z = 19.0525588832576

STEP 3: Convert Result to Output's Unit

19.0525588832576 --> No Conversion Required

FINAL ANSWER

19.0525588832576 ≈ 19.05256 <-- Angular Momentum along z Axis

(Calculation completed in 00.004 seconds)

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< 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

Relation between Magnetic Angular Momentum and Orbital Angular Momentum Formula

Angular Momentum along z Axis = Quantization of Angular Momentum*cos(Theta)
L_z = l_Quantization*cos(θ)

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 Relation between Magnetic Angular Momentum and Orbital Angular Momentum?

Relation between Magnetic Angular Momentum and Orbital Angular Momentum calculator uses Angular Momentum along z Axis = Quantization of Angular Momentum*cos(Theta) to calculate the Angular Momentum along z Axis, The Relation between magnetic angular momentum and orbital angular momentum formula orbital angular momentum inclined with some angle theta. Angular Momentum along z Axis is denoted by L_z symbol.

How to calculate Relation between Magnetic Angular Momentum and Orbital Angular Momentum using this online calculator? To use this online calculator for Relation between Magnetic Angular Momentum and Orbital Angular Momentum, enter Quantization of Angular Momentum (l_Quantization) & Theta (θ) and hit the calculate button. Here is how the Relation between Magnetic Angular Momentum and Orbital Angular Momentum calculation can be explained with given input values -> 19.05256 = 22*cos(0.5235987755982).

FAQ

What is Relation between Magnetic Angular Momentum and Orbital Angular Momentum?

The Relation between magnetic angular momentum and orbital angular momentum formula orbital angular momentum inclined with some angle theta and is represented as L_z = l_Quantization*cos(θ) or Angular Momentum along z Axis = Quantization of Angular Momentum*cos(Theta). Quantization of Angular Momentum is the rotation of the electron about its own axis, contributes towards an angular momentum of the electron & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Relation between Magnetic Angular Momentum and Orbital Angular Momentum?

The Relation between magnetic angular momentum and orbital angular momentum formula orbital angular momentum inclined with some angle theta is calculated using Angular Momentum along z Axis = Quantization of Angular Momentum*cos(Theta). To calculate Relation between Magnetic Angular Momentum and Orbital Angular Momentum, you need Quantization of Angular Momentum (l_Quantization) & Theta (θ). With our tool, you need to enter the respective value for Quantization of Angular Momentum & Theta 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 Quantization of Angular Momentum & Theta. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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