Number of Orbitals in Sub Shell of Magnetic Quantum Number Calculator

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Schrodinger Wave Equation

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Planck Quantum Theory

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Sommerfeld Model

Structure of Atom

✖Azimuthal Quantum Number is a quantum number for an atomic orbital that determines its orbital angular momentum.ⓘ Azimuthal Quantum Number [l]

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✖Total Number of Orbitals is the maximum orbitals present in an atom where electrons revolve.ⓘ Number of Orbitals in Sub Shell of Magnetic Quantum Number [t]

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Formula

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Number of Orbitals in Sub Shell of Magnetic Quantum Number

Formula

`"t" = (2*"l")+1`

Example

`"181"=(2*"90")+1`

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Number of Orbitals in Sub Shell of Magnetic Quantum Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Number of Orbitals = (2*Azimuthal Quantum Number)+1
t = (2*l)+1
This formula uses 2 Variables

Variables Used

Total Number of Orbitals - Total Number of Orbitals is the maximum orbitals present in an atom where electrons revolve.
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

Azimuthal Quantum Number: 90 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (2*l)+1 --> (2*90)+1

Evaluating ... ...

t = 181

STEP 3: Convert Result to Output's Unit

181 --> No Conversion Required

FINAL ANSWER

181 <-- Total Number of Orbitals

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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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

Number of Orbitals in Sub Shell of Magnetic Quantum Number Formula

Total Number of Orbitals = (2*Azimuthal Quantum Number)+1
t = (2*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 Number of Orbitals in Sub Shell of Magnetic Quantum Number?

Number of Orbitals in Sub Shell of Magnetic Quantum Number calculator uses Total Number of Orbitals = (2*Azimuthal Quantum Number)+1 to calculate the Total Number of Orbitals, The Number of orbitals in sub shell of magnetic quantum number formula is defined as the maximum sub energy levels in an atom where electrons revolve around the nucleus. Total Number of Orbitals is denoted by t symbol.

How to calculate Number of Orbitals in Sub Shell of Magnetic Quantum Number using this online calculator? To use this online calculator for Number of Orbitals in Sub Shell of Magnetic Quantum Number, enter Azimuthal Quantum Number (l) and hit the calculate button. Here is how the Number of Orbitals in Sub Shell of Magnetic Quantum Number calculation can be explained with given input values -> 181 = (2*90)+1.

FAQ

What is Number of Orbitals in Sub Shell of Magnetic Quantum Number?

The Number of orbitals in sub shell of magnetic quantum number formula is defined as the maximum sub energy levels in an atom where electrons revolve around the nucleus and is represented as t = (2*l)+1 or Total Number of Orbitals = (2*Azimuthal Quantum Number)+1. Azimuthal Quantum Number is a quantum number for an atomic orbital that determines its orbital angular momentum.

How to calculate Number of Orbitals in Sub Shell of Magnetic Quantum Number?

The Number of orbitals in sub shell of magnetic quantum number formula is defined as the maximum sub energy levels in an atom where electrons revolve around the nucleus is calculated using Total Number of Orbitals = (2*Azimuthal Quantum Number)+1. To calculate Number of Orbitals in Sub Shell of Magnetic Quantum Number, you need Azimuthal Quantum Number (l). With our tool, you need to enter the respective value for 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 Total Number of Orbitals?

In this formula, Total Number of Orbitals uses Azimuthal Quantum Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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