Spin Multiplicity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Spin Multiplicity = (2*Spin Quantum Number)+1
Sm = (2*s)+1
This formula uses 2 Variables
Variables Used
Spin Multiplicity - Spin Multiplicity is based on the number of unpaired electron in an atom.
Spin Quantum Number - Spin Quantum Number describes the angular momentum of an electron.
STEP 1: Convert Input(s) to Base Unit
Spin Quantum Number: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sm = (2*s)+1 --> (2*8)+1
Evaluating ... ...
Sm = 17
STEP 3: Convert Result to Output's Unit
17 --> No Conversion Required
FINAL ANSWER
17 <-- Spin Multiplicity
(Calculation completed in 00.004 seconds)

Credits

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

Spin Multiplicity Formula

Spin Multiplicity = (2*Spin Quantum Number)+1
Sm = (2*s)+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 Spin Multiplicity?

Spin Multiplicity calculator uses Spin Multiplicity = (2*Spin Quantum Number)+1 to calculate the Spin Multiplicity, The Spin multiplicity formula is based on the number of unpaired electrons revolving along the orbit in an atom. Spin Multiplicity is denoted by Sm symbol.

How to calculate Spin Multiplicity using this online calculator? To use this online calculator for Spin Multiplicity, enter Spin Quantum Number (s) and hit the calculate button. Here is how the Spin Multiplicity calculation can be explained with given input values -> 17 = (2*8)+1.

FAQ

What is Spin Multiplicity?
The Spin multiplicity formula is based on the number of unpaired electrons revolving along the orbit in an atom and is represented as Sm = (2*s)+1 or Spin Multiplicity = (2*Spin Quantum Number)+1. Spin Quantum Number describes the angular momentum of an electron.
How to calculate Spin Multiplicity?
The Spin multiplicity formula is based on the number of unpaired electrons revolving along the orbit in an atom is calculated using Spin Multiplicity = (2*Spin Quantum Number)+1. To calculate Spin Multiplicity, you need Spin Quantum Number (s). With our tool, you need to enter the respective value for Spin Quantum Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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