Lande g Factor in Electron Paramagnetic Resonance Calculator

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✖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 Quantum Number indicates the orientation of the intrinsic angular momentum of an electron in an atom.ⓘ Spin Quantum Number [s_qno]			+10% -10%
✖Total Angular Momentum Quantum No parameterizes the total angular momentum of a given particle, by combining its orbital angular momentum and its intrinsic angular momentum.ⓘ Total Angular Momentum Quantum No [J]			+10% -10%

✖Lande g Factor is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field.ⓘ Lande g Factor in Electron Paramagnetic Resonance [g_j]

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Formula

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Lande g Factor in Electron Paramagnetic Resonance

Formula

`"g"_{"j"} = 1.5-(("l"_{"no."}*("l"_{"no."}+1))-("s"_{"qno"}*("s"_{"qno"}+1)))/(2*"J"*("J"+1))`

Example

`"1.607143"=1.5-(("5"*("5"+1))-("6"*("6"+1)))/(2*"7"*("7"+1))`

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Lande g Factor in Electron Paramagnetic Resonance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lande g Factor = 1.5-((Orbital Quantum Number*(Orbital Quantum Number+1))-(Spin Quantum Number*(Spin Quantum Number+1)))/(2*Total Angular Momentum Quantum No*(Total Angular Momentum Quantum No+1))
g_j = 1.5-((l_no.*(l_no.+1))-(s_qno*(s_qno+1)))/(2*J*(J+1))
This formula uses 4 Variables

Variables Used

Lande g Factor - Lande g Factor is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field.
Orbital Quantum Number - Orbital Quantum Number represents the magnitude of the orbital angular momentum of the electron around the nucleus.
Spin Quantum Number - Spin Quantum Number indicates the orientation of the intrinsic angular momentum of an electron in an atom.
Total Angular Momentum Quantum No - Total Angular Momentum Quantum No parameterizes the total angular momentum of a given particle, by combining its orbital angular momentum and its intrinsic angular momentum.

STEP 1: Convert Input(s) to Base Unit

Orbital Quantum Number: 5 --> No Conversion Required
Spin Quantum Number: 6 --> No Conversion Required
Total Angular Momentum Quantum No: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

g_j = 1.5-((l_no.*(l_no.+1))-(s_qno*(s_qno+1)))/(2*J*(J+1)) --> 1.5-((5*(5+1))-(6*(6+1)))/(2*7*(7+1))

Evaluating ... ...

g_j = 1.60714285714286

STEP 3: Convert Result to Output's Unit

1.60714285714286 --> No Conversion Required

FINAL ANSWER

1.60714285714286 ≈ 1.607143 <-- Lande g Factor

(Calculation completed in 00.004 seconds)

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Lande g Factor in Electron Paramagnetic Resonance

Go Lande g Factor = 1.5-((Orbital Quantum Number*(Orbital Quantum Number+1))-(Spin Quantum Number*(Spin Quantum Number+1)))/(2*Total Angular Momentum Quantum No*(Total Angular Momentum Quantum No+1))

No. of Particles in Upper State using Boltzmann Distribution

Go Upper State Particles = Lower State Particles*e^((Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[Molar-g])

Electron Paramagnetic Resonance Frequency

Go Electron Paramagnetic Resonance Frequency = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[hP]

External Magnetic Field Strength

Go External Magnetic Field Strength = (sqrt(Spin Quantum Number*(Spin Quantum Number+1)))*([hP]/(2*3.14))

Energy Difference between Two Spin States

Go Energy Difference between Spin States = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)

Energy of Negative Spin State

Go Energy of Negative Spin State = -(1/2*(Lande g Factor*Bohr Magneton*External Magnetic Field Strength))

Applied Magnetic Field using External Field

Go External applied Magnetic Field = External Magnetic Field Strength*(1-Local Fields)

Number of Lines Generated

Go Number of Lines Generated = (2*Number of Equivalent Nuclei*Spin Value)+1

Lines Generated for Spin Half

Go Lines Generated for Spin Half = 1+Number of Equivalent Nuclei

Lande g Factor in Electron Paramagnetic Resonance Formula

What is the effect of Spin-Orbit coupling?

Spin–orbit coupling is an effect in addition to the electron–electron repulsion effect. a. It occurs due to the interaction of the magnetic moment generated and the intrinsic moment of the electron.

How to Calculate Lande g Factor in Electron Paramagnetic Resonance?

Lande g Factor in Electron Paramagnetic Resonance calculator uses Lande g Factor = 1.5-((Orbital Quantum Number*(Orbital Quantum Number+1))-(Spin Quantum Number*(Spin Quantum Number+1)))/(2*Total Angular Momentum Quantum No*(Total Angular Momentum Quantum No+1)) to calculate the Lande g Factor, Lande g Factor in Electron Paramagnetic Resonance is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field. Lande g Factor is denoted by g_j symbol.

How to calculate Lande g Factor in Electron Paramagnetic Resonance using this online calculator? To use this online calculator for Lande g Factor in Electron Paramagnetic Resonance, enter Orbital Quantum Number (l_no.), Spin Quantum Number (s_qno) & Total Angular Momentum Quantum No (J) and hit the calculate button. Here is how the Lande g Factor in Electron Paramagnetic Resonance calculation can be explained with given input values -> 1.607143 = 1.5-((5*(5+1))-(6*(6+1)))/(2*7*(7+1)).

FAQ

What is Lande g Factor in Electron Paramagnetic Resonance?

Lande g Factor in Electron Paramagnetic Resonance is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field and is represented as g_j = 1.5-((l_no.*(l_no.+1))-(s_qno*(s_qno+1)))/(2*J*(J+1)) or Lande g Factor = 1.5-((Orbital Quantum Number*(Orbital Quantum Number+1))-(Spin Quantum Number*(Spin Quantum Number+1)))/(2*Total Angular Momentum Quantum No*(Total Angular Momentum Quantum No+1)). Orbital Quantum Number represents the magnitude of the orbital angular momentum of the electron around the nucleus, Spin Quantum Number indicates the orientation of the intrinsic angular momentum of an electron in an atom & Total Angular Momentum Quantum No parameterizes the total angular momentum of a given particle, by combining its orbital angular momentum and its intrinsic angular momentum.

How to calculate Lande g Factor in Electron Paramagnetic Resonance?

Lande g Factor in Electron Paramagnetic Resonance is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field is calculated using Lande g Factor = 1.5-((Orbital Quantum Number*(Orbital Quantum Number+1))-(Spin Quantum Number*(Spin Quantum Number+1)))/(2*Total Angular Momentum Quantum No*(Total Angular Momentum Quantum No+1)). To calculate Lande g Factor in Electron Paramagnetic Resonance, you need Orbital Quantum Number (l_no.), Spin Quantum Number (s_qno) & Total Angular Momentum Quantum No (J). With our tool, you need to enter the respective value for Orbital Quantum Number, Spin Quantum Number & Total Angular Momentum Quantum No 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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