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Lande g Factor in Electron Paramagnetic Resonance Formula

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Lande g Factor is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field. Check FAQs

g j = 1.5 - \frac{(l no. \cdot (l no. + 1)) - (s qno \cdot (s qno + 1))}{2 \cdot J \cdot (J + 1)}

g_j - Lande g Factor?l_no. - Orbital Quantum Number?s_qno - Spin Quantum Number?J - Total Angular Momentum Quantum No?

Lande g Factor in Electron Paramagnetic Resonance Example

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Here is how the Lande g Factor in Electron Paramagnetic Resonance equation looks like with Values.

Here is how the Lande g Factor in Electron Paramagnetic Resonance equation looks like with Units.

Here is how the Lande g Factor in Electron Paramagnetic Resonance equation looks like.

1.6071 = 1.5 - \frac{(5 \cdot (5 + 1)) - (6 \cdot (6 + 1))}{2 \cdot 7 \cdot (7 + 1)}

1.6071 = 1.5 - \frac{(5 \cdot (5 + 1)) - (6 \cdot (6 + 1))}{2 \cdot 7 \cdot (7 + 1)}

1.6071 = 1.5 - \frac{(5 \cdot (5 + 1)) - (6 \cdot (6 + 1))}{2 \cdot 7 \cdot (7 + 1)}

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Lande g Factor in Electron Paramagnetic Resonance Solution

Follow our step by step solution on how to calculate Lande g Factor in Electron Paramagnetic Resonance?

FIRST Step Consider the formula

g j = 1.5 - \frac{(l no. \cdot (l no. + 1)) - (s qno \cdot (s qno + 1))}{2 \cdot J \cdot (J + 1)}

Next Step Substitute values of Variables

∴

g j = 1.5 - \frac{(5 \cdot (5 + 1)) - (6 \cdot (6 + 1))}{2 \cdot 7 \cdot (7 + 1)}

Next Step Prepare to Evaluate

∴

g j = 1.5 - \frac{(5 \cdot (5 + 1)) - (6 \cdot (6 + 1))}{2 \cdot 7 \cdot (7 + 1)}

Next Step Evaluate

∴

g j = 1.60714285714286

LAST Step Rounding Answer

∴

g j = 1.6071

Lande g Factor in Electron Paramagnetic Resonance Formula Elements

Variables

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.

Symbol: g_j

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Lande g Factor

Orbital Quantum Number

Orbital Quantum Number represents the magnitude of the orbital angular momentum of the electron around the nucleus.

Symbol: l_no.

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Orbital Quantum Number

Spin Quantum Number

Spin Quantum Number indicates the orientation of the intrinsic angular momentum of an electron in an atom.

Symbol: s_qno

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Spin Quantum Number

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.

Symbol: J

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Total Angular Momentum Quantum No

Other formulas in EPR Spectroscopy category

Go Energy Difference between Two Spin States

ΔE +1/2-1/2 = (g j \cdot μ \cdot B)

Go Number of Lines Generated

N lines = (2 \cdot N nuclei \cdot I) + 1

Go Energy of Negative Spin State

E -1/2 = - (\frac{1}{2} \cdot (g j \cdot μ \cdot B))

Go Lines Generated for Spin Half

N I=1/2 = 1 + N nuclei

How to Evaluate Lande g Factor in Electron Paramagnetic Resonance?

Lande g Factor in Electron Paramagnetic Resonance evaluator 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 evaluate 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 evaluate Lande g Factor in Electron Paramagnetic Resonance using this online evaluator? To use this online evaluator 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.

FAQs on Lande g Factor in Electron Paramagnetic Resonance

What is the formula to find Lande g Factor in Electron Paramagnetic Resonance?

The formula of Lande g Factor in Electron Paramagnetic Resonance is expressed as 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)). Here is an example- 1.607143 = 1.5-((5*(5+1))-(6*(6+1)))/(2*7*(7+1)).

How to calculate Lande g Factor in Electron Paramagnetic Resonance?

With Orbital Quantum Number (l_no.), Spin Quantum Number (s_qno) & Total Angular Momentum Quantum No (J) we can find Lande g Factor in Electron Paramagnetic Resonance using the formula - 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)).

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Lande g Factor in Electron Paramagnetic Resonance Formula

Lande g Factor in Electron Paramagnetic Resonance Example

Lande g Factor in Electron Paramagnetic Resonance Solution

Lande g Factor in Electron Paramagnetic Resonance Formula Elements

Other formulas in EPR Spectroscopy category

How to Evaluate Lande g Factor in Electron Paramagnetic Resonance?

FAQs on Lande g Factor in Electron Paramagnetic Resonance

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