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Magnetic Quantum Number given Orbital Angular Momentum Calculator

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✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%
✖Azimuthal Quantum Number is a quantum number for an atomic orbital that determines its orbital angular momentum.ⓘ Azimuthal Quantum Number [l]			+10% -10%

✖Magnetic Quantum Number is the number which divides the subshell into individual orbitals which hold the electrons.ⓘ Magnetic Quantum Number given Orbital Angular Momentum [m]

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Magnetic Quantum Number given Orbital Angular Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnetic Quantum Number = cos(Theta)*sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))
m = cos(θ)*sqrt(l*(l+1))
This formula uses 2 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)
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., sqrt(Number)

Variables Used

Magnetic Quantum Number - Magnetic Quantum Number is the number which divides the subshell into individual orbitals which hold the electrons.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Azimuthal Quantum Number - Azimuthal Quantum Number is a quantum number for an atomic orbital that determines its orbital angular momentum.

STEP 1: Convert Input(s) to Base Unit

Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Azimuthal Quantum Number: 90 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = cos(θ)*sqrt(l*(l+1)) --> cos(0.5235987755982)*sqrt(90*(90+1))

Evaluating ... ...

m = 78.3741028656788

STEP 3: Convert Result to Output's Unit

78.3741028656788 --> No Conversion Required

FINAL ANSWER

78.3741028656788 ≈ 78.3741 <-- Magnetic Quantum Number

(Calculation completed in 00.004 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< Schrodinger Wave Equation Calculators

Total Magnetic Quantum Number Value

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

Number of Orbitals of Magnetic Quantum Number in Main Energy Level

LaTeX Go Total Number of Orbitals = (Number of Orbits^2)

Total Number of Orbitals of Principal Quantum Number

LaTeX Go Total Number of Orbitals = (Number of Orbits^2)

Maximum Number of Electron in Orbit of Principal Quantum Number

LaTeX Go Number of Electron = 2*(Number of Orbits^2)

Magnetic Quantum Number given Orbital Angular Momentum Formula

LaTeX Go

Magnetic Quantum Number = cos(Theta)*sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))
m = cos(θ)*sqrt(l*(l+1))

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 Number given Orbital Angular Momentum?

Magnetic Quantum Number given Orbital Angular Momentum calculator uses Magnetic Quantum Number = cos(Theta)*sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1)) to calculate 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 calculate Magnetic Quantum Number given Orbital Angular Momentum using this online calculator? To use this online calculator for Magnetic Quantum Number given Orbital Angular Momentum, enter Theta (θ) & Azimuthal Quantum Number (l) and hit the calculate button. Here is how the Magnetic Quantum Number given Orbital Angular Momentum calculation can be explained with given input values -> 78.3741 = cos(0.5235987755982)*sqrt(90*(90+1)).

FAQ

What is Magnetic Quantum Number given Orbital Angular Momentum?

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 and is represented as m = cos(θ)*sqrt(l*(l+1)) or Magnetic Quantum Number = cos(Theta)*sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1)). Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & Azimuthal Quantum Number is a quantum number for an atomic orbital that determines its orbital angular momentum.

How to calculate Magnetic Quantum Number given Orbital Angular Momentum?

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 is calculated using Magnetic Quantum Number = cos(Theta)*sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1)). To calculate Magnetic Quantum Number given Orbital Angular Momentum, you need Theta (θ) & Azimuthal Quantum Number (l). With our tool, you need to enter the respective value for Theta & Azimuthal 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 Magnetic Quantum Number?

In this formula, Magnetic Quantum Number uses Theta & Azimuthal Quantum Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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