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Magnetic Quantum Number given Orbital Angular Momentum Formula

GoTotal Magnetic Quantum Number Value Formula

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Magnetic Quantum Number is the number which divides the subshell into individual orbitals which hold the electrons. Check FAQs

m = \cos (θ) \cdot \sqrt{l \cdot (l + 1)}

m - Magnetic Quantum Number?θ - Theta?l - Azimuthal Quantum Number?

Magnetic Quantum Number given Orbital Angular Momentum Example

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Here is how the Magnetic Quantum Number given Orbital Angular Momentum equation looks like with Values.

Here is how the Magnetic Quantum Number given Orbital Angular Momentum equation looks like with Units.

Here is how the Magnetic Quantum Number given Orbital Angular Momentum equation looks like.

78.3741 = \cos (30) \cdot \sqrt{90 \cdot (90 + 1)}

78.3741 = \cos (30°) \cdot \sqrt{90 \cdot (90 + 1)}

78.3741 = \cos (30) \cdot \sqrt{90 \cdot (90 + 1)}

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Magnetic Quantum Number given Orbital Angular Momentum Solution

Follow our step by step solution on how to calculate Magnetic Quantum Number given Orbital Angular Momentum?

FIRST Step Consider the formula

m = \cos (θ) \cdot \sqrt{l \cdot (l + 1)}

Next Step Substitute values of Variables

∴

m = \cos (30°) \cdot \sqrt{90 \cdot (90 + 1)}

Next Step Convert Units

∴

m = \cos (0.5236rad) \cdot \sqrt{90 \cdot (90 + 1)}

Next Step Prepare to Evaluate

∴

m = \cos (0.5236) \cdot \sqrt{90 \cdot (90 + 1)}

Next Step Evaluate

∴

m = 78.3741028656788

LAST Step Rounding Answer

∴

m = 78.3741

Magnetic Quantum Number given Orbital Angular Momentum Formula Elements

Variables

Functions

Magnetic Quantum Number

Magnetic Quantum Number is the number which divides the subshell into individual orbitals which hold the electrons.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Magnetic Quantum Number

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

Azimuthal Quantum Number

Azimuthal Quantum Number is a quantum number for an atomic orbital that determines its orbital angular momentum.

Symbol: l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Azimuthal Quantum Number

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Magnetic Quantum Number

Go Total Magnetic Quantum Number Value

m = (2 \cdot l) + 1

Other formulas in Schrodinger Wave Equation category

Go Maximum Number of Electron in Orbit of Principal Quantum Number

n electron = 2 \cdot ({n orbit}^{2})

Go Total Number of Orbitals of Principal Quantum Number

t = ({n orbit}^{2})

Go Number of Orbitals of Magnetic Quantum Number in Main Energy Level

t = ({n orbit}^{2})

Go Number of Orbitals in Sub Shell of Magnetic Quantum Number

t = (2 \cdot l) + 1

How to Evaluate Magnetic Quantum Number given Orbital Angular Momentum?

Magnetic Quantum Number given Orbital Angular Momentum evaluator uses Magnetic Quantum Number = cos(Theta)*sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1)) to evaluate the Magnetic Quantum Number, The Magnetic quantum number given orbital angular momentum formula is defined as the number which divides the subshell into individual orbitals which hold the electrons. Magnetic Quantum Number is denoted by m symbol.

How to evaluate Magnetic Quantum Number given Orbital Angular Momentum using this online evaluator? To use this online evaluator for Magnetic Quantum Number given Orbital Angular Momentum, enter Theta (θ) & Azimuthal Quantum Number (l) and hit the calculate button.

FAQs on Magnetic Quantum Number given Orbital Angular Momentum

What is the formula to find Magnetic Quantum Number given Orbital Angular Momentum?

The formula of Magnetic Quantum Number given Orbital Angular Momentum is expressed as Magnetic Quantum Number = cos(Theta)*sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1)). Here is an example- 78.3741 = cos(0.5235987755982)*sqrt(90*(90+1)).

How to calculate Magnetic Quantum Number given Orbital Angular Momentum?

With Theta (θ) & Azimuthal Quantum Number (l) we can find Magnetic Quantum Number given Orbital Angular Momentum using the formula - Magnetic Quantum Number = cos(Theta)*sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Magnetic Quantum Number?

Here are the different ways to Calculate Magnetic Quantum Number-

Magnetic Quantum Number=(2*Azimuthal Quantum Number)+1

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Magnetic Quantum Number given Orbital Angular Momentum Formula

​GoTotal Magnetic Quantum Number Value Formula

Magnetic Quantum Number given Orbital Angular Momentum Example

Magnetic Quantum Number given Orbital Angular Momentum Solution

Magnetic Quantum Number given Orbital Angular Momentum Formula Elements

Other Formulas to find Magnetic Quantum Number

Other formulas in Schrodinger Wave Equation category

How to Evaluate Magnetic Quantum Number given Orbital Angular Momentum?

FAQs on Magnetic Quantum Number given Orbital Angular Momentum

Variable Name

GoTotal Magnetic Quantum Number Value Formula