Energy Difference between Two Spin States Calculator

✖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 [g_j]			+10% -10%
✖Bohr Magneton is the magnitude of the magnetic dipole moment of an electron orbiting an atom with such angular momentum.ⓘ Bohr Magneton [μ]			+10% -10%
✖External Magnetic Field Strength is produced by moving electric charges and the intrinsic magnetic moments of elementary particles associated with a fundamental quantum property, their spin.ⓘ External Magnetic Field Strength [B]			+10% -10%

✖Energy Difference between Spin States is defined as the energy separation between the spin states as the degenerate spin states divides into further two states in presence of external magnetic field.ⓘ Energy Difference between Two Spin States [ΔE_+1/2-1/2]

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Formula

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Energy Difference between Two Spin States

Formula

`"ΔE"_{"+1/2-1/2"} = ("g"_{"j"}*"μ"*"B"_{""})`

Example

`"1.1E^-37/m"=("1.5"*"0.0001A*m²"*"7E^-34A/m")`

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Energy Difference between Two Spin States Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Difference between Spin States = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)
ΔE_+1/2-1/2 = (g_j*μ*B)
This formula uses 4 Variables

Variables Used

Energy Difference between Spin States - (Measured in Diopter) - Energy Difference between Spin States is defined as the energy separation between the spin states as the degenerate spin states divides into further two states in presence of external magnetic field.
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.
Bohr Magneton - (Measured in Ampere Square Meter) - Bohr Magneton is the magnitude of the magnetic dipole moment of an electron orbiting an atom with such angular momentum.
External Magnetic Field Strength - (Measured in Ampere per Meter) - External Magnetic Field Strength is produced by moving electric charges and the intrinsic magnetic moments of elementary particles associated with a fundamental quantum property, their spin.

STEP 1: Convert Input(s) to Base Unit

Lande g Factor: 1.5 --> No Conversion Required
Bohr Magneton: 0.0001 Ampere Square Meter --> 0.0001 Ampere Square Meter No Conversion Required
External Magnetic Field Strength: 7E-34 Ampere per Meter --> 7E-34 Ampere per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔE_+1/2-1/2 = (g_j*μ*B) --> (1.5*0.0001*7E-34)

Evaluating ... ...

ΔE_+1/2-1/2 = 1.05E-37

STEP 3: Convert Result to Output's Unit

1.05E-37 Diopter -->1.05E-37 1 per Meter (Check conversion here)

FINAL ANSWER

1.05E-37 ≈ 1.1E-37 1 per Meter <-- Energy Difference between Spin States

(Calculation completed in 00.004 seconds)

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< 9 EPR Spectroscopy Calculators

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

Energy Difference between Two Spin States Formula

Energy Difference between Spin States = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)
ΔE_+1/2-1/2 = (g_j*μ*B)

What is EPR?

Electron paramagnetic resonance (EPR) or electron spin resonance (ESR) spectroscopy is a method for studying materials that have unpaired electrons. EPR spectroscopy plays an important role in the understanding of organic and inorganic radicals, transition metal complexes, and some biomolecules.

How to Calculate Energy Difference between Two Spin States?

Energy Difference between Two Spin States calculator uses Energy Difference between Spin States = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength) to calculate the Energy Difference between Spin States, Energy Difference between Two Spin States is defined as the energy separation between the spin states as the degenerate spin states divides into further two states in presence of external magnetic field. Energy Difference between Spin States is denoted by ΔE_+1/2-1/2 symbol.

How to calculate Energy Difference between Two Spin States using this online calculator? To use this online calculator for Energy Difference between Two Spin States, enter Lande g Factor (g_j), Bohr Magneton (μ) & External Magnetic Field Strength (B) and hit the calculate button. Here is how the Energy Difference between Two Spin States calculation can be explained with given input values -> 1.1E-37 = (1.5*0.0001*7E-34).

FAQ

What is Energy Difference between Two Spin States?

Energy Difference between Two Spin States is defined as the energy separation between the spin states as the degenerate spin states divides into further two states in presence of external magnetic field and is represented as ΔE_+1/2-1/2 = (g_j*μ*B) or Energy Difference between Spin States = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength). Lande g Factor is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field, Bohr Magneton is the magnitude of the magnetic dipole moment of an electron orbiting an atom with such angular momentum & External Magnetic Field Strength is produced by moving electric charges and the intrinsic magnetic moments of elementary particles associated with a fundamental quantum property, their spin.

How to calculate Energy Difference between Two Spin States?

Energy Difference between Two Spin States is defined as the energy separation between the spin states as the degenerate spin states divides into further two states in presence of external magnetic field is calculated using Energy Difference between Spin States = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength). To calculate Energy Difference between Two Spin States, you need Lande g Factor (g_j), Bohr Magneton (μ) & External Magnetic Field Strength (B). With our tool, you need to enter the respective value for Lande g Factor, Bohr Magneton & External Magnetic Field Strength 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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