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Magnetic Moment of Coordination Complexes Calculator

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✖Spin Quantum Number indicates the orientation of the intrinsic angular momentum of an electron in an atom.ⓘ Spin Quantum Number [s_qno]			+10% -10%
✖Orbital Quantum Number represents the magnitude of the orbital angular momentum of the electron around the nucleus.ⓘ Orbital Quantum Number [l_no.]			+10% -10%

✖Spin Orbital Magnetic Moment is the magnetic moment of an electron caused by its intrinsic properties of spin and electric charge.ⓘ Magnetic Moment of Coordination Complexes [μ_spin-orbital]

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Magnetic Moment of Coordination Complexes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spin Orbital Magnetic Moment = sqrt((4*Spin Quantum Number*(Spin Quantum Number+1))+(Orbital Quantum Number*(Orbital Quantum Number+1)))
μ_spin-orbital = sqrt((4*s_qno*(s_qno+1))+(l_no.*(l_no.+1)))
This formula uses 1 Functions, 3 Variables

Functions Used

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

Spin Orbital Magnetic Moment - (Measured in Ampere Square Meter) - Spin Orbital Magnetic Moment is the magnetic moment of an electron caused by its intrinsic properties of spin and electric charge.
Spin Quantum Number - Spin Quantum Number indicates the orientation of the intrinsic angular momentum of an electron in an atom.
Orbital Quantum Number - Orbital Quantum Number represents the magnitude of the orbital angular momentum of the electron around the nucleus.

STEP 1: Convert Input(s) to Base Unit

Spin Quantum Number: 6 --> No Conversion Required
Orbital Quantum Number: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_spin-orbital = sqrt((4*s_qno*(s_qno+1))+(l_no.*(l_no.+1))) --> sqrt((4*6*(6+1))+(5*(5+1)))

Evaluating ... ...

μ_spin-orbital = 14.0712472794703

STEP 3: Convert Result to Output's Unit

14.0712472794703 Ampere Square Meter --> No Conversion Required

FINAL ANSWER

14.0712472794703 ≈ 14.07125 Ampere Square Meter <-- Spin Orbital Magnetic Moment

(Calculation completed in 00.004 seconds)

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Magnetic Moment of Coordination Complexes

LaTeX Go Spin Orbital Magnetic Moment = sqrt((4*Spin Quantum Number*(Spin Quantum Number+1))+(Orbital Quantum Number*(Orbital Quantum Number+1)))

Spin only Magnetic Moment for Coordinate Complexes

LaTeX Go Spin Magnetic Moment for Coordinate Complexes = sqrt(Number Of Unpaired Electrons Of Coordinate Complex*(Number Of Unpaired Electrons Of Coordinate Complex+2))

Magnetic Moment of Coordination Complexes Formula

LaTeX Go

Spin Orbital Magnetic Moment = sqrt((4*Spin Quantum Number*(Spin Quantum Number+1))+(Orbital Quantum Number*(Orbital Quantum Number+1)))
μ_spin-orbital = sqrt((4*s_qno*(s_qno+1))+(l_no.*(l_no.+1)))

What are the cause and application of Magnetic moment in Coordination Compounds?

From classical electrodynamics, a rotating electrically charged body creates a magnetic dipole with magnetic poles of equal magnitude but opposite polarity. This analogy does hold, since an electron indeed behaves like a tiny bar magnet. One consequence is that an external magnetic field exerts a torque on the electron magnetic moment depending on its orientation with respect to the field. Therefore , magnetic moments are often used in conjunction with electronic spectra to gain information about the oxidation number and stereochemistry of the central metal ion in coordination complexes.

How to Calculate Magnetic Moment of Coordination Complexes?

Magnetic Moment of Coordination Complexes calculator uses Spin Orbital Magnetic Moment = sqrt((4*Spin Quantum Number*(Spin Quantum Number+1))+(Orbital Quantum Number*(Orbital Quantum Number+1))) to calculate the Spin Orbital Magnetic Moment, The Magnetic Moment of Coordination Complexes has contribution of both orbital and spin quantum number. This is because the electron is a charged particle with charge (−1e), where e in this context is the unit of elementary charge. Spin Orbital Magnetic Moment is denoted by μ_spin-orbital symbol.

How to calculate Magnetic Moment of Coordination Complexes using this online calculator? To use this online calculator for Magnetic Moment of Coordination Complexes, enter Spin Quantum Number (s_qno) & Orbital Quantum Number (l_no.) and hit the calculate button. Here is how the Magnetic Moment of Coordination Complexes calculation can be explained with given input values -> 14.07125 = sqrt((4*6*(6+1))+(5*(5+1))).

FAQ

What is Magnetic Moment of Coordination Complexes?

The Magnetic Moment of Coordination Complexes has contribution of both orbital and spin quantum number. This is because the electron is a charged particle with charge (−1e), where e in this context is the unit of elementary charge and is represented as μ_spin-orbital = sqrt((4*s_qno*(s_qno+1))+(l_no.*(l_no.+1))) or Spin Orbital Magnetic Moment = sqrt((4*Spin Quantum Number*(Spin Quantum Number+1))+(Orbital Quantum Number*(Orbital Quantum Number+1))). Spin Quantum Number indicates the orientation of the intrinsic angular momentum of an electron in an atom & Orbital Quantum Number represents the magnitude of the orbital angular momentum of the electron around the nucleus.

How to calculate Magnetic Moment of Coordination Complexes?

The Magnetic Moment of Coordination Complexes has contribution of both orbital and spin quantum number. This is because the electron is a charged particle with charge (−1e), where e in this context is the unit of elementary charge is calculated using Spin Orbital Magnetic Moment = sqrt((4*Spin Quantum Number*(Spin Quantum Number+1))+(Orbital Quantum Number*(Orbital Quantum Number+1))). To calculate Magnetic Moment of Coordination Complexes, you need Spin Quantum Number (s_qno) & Orbital Quantum Number (l_no.). With our tool, you need to enter the respective value for Spin Quantum Number & Orbital 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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