Energy of Negative Spin State Calculator

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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.ⓘ 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%

✖The Energy of Negative Spin State is the energy of the state with -1/2 as its magnetic spin obtained due to electronic interaction.ⓘ Energy of Negative Spin State [E_-1/2]

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Formula

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Energy of Negative Spin State

Formula

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

Example

`"-5.3E^-38/m"=-(1/2*("1.5"*"0.0001A*m²"*"7E^-34A/m"))`

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Energy of Negative Spin State Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy of Negative Spin State = -(1/2*(Lande g Factor*Bohr Magneton*External Magnetic Field Strength))
E_-1/2 = -(1/2*(g_j*μ*B))
This formula uses 4 Variables

Variables Used

Energy of Negative Spin State - (Measured in Diopter) - The Energy of Negative Spin State is the energy of the state with -1/2 as its magnetic spin obtained due to electronic interaction.
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

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

Evaluating ... ...

E_-1/2 = -5.25E-38

STEP 3: Convert Result to Output's Unit

-5.25E-38 Diopter -->-5.25E-38 1 per Meter (Check conversion here)

FINAL ANSWER

-5.25E-38 ≈ -5.3E-38 1 per Meter <-- Energy of Negative Spin State

(Calculation completed in 00.004 seconds)

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Created by Torsha_Paul

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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 of Negative Spin State Formula

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

What is hyperfine interaction in EPR?

The hyperfine interaction in ESR spectra is analogous to the fine structure, i.e. nuclear spin–spin interaction in NMR spectra. As a result of this interaction, the ESR signals or peaks are further split into several lines (HFS).

How to Calculate Energy of Negative Spin State?

Energy of Negative Spin State calculator uses Energy of Negative Spin State = -(1/2*(Lande g Factor*Bohr Magneton*External Magnetic Field Strength)) to calculate the Energy of Negative Spin State, Energy of Negative Spin State is the energy of the state with (-1/2) as its magnetic spin which is obtained due to hyperfine interaction. Energy of Negative Spin State is denoted by E_-1/2 symbol.

How to calculate Energy of Negative Spin State using this online calculator? To use this online calculator for Energy of Negative Spin State, enter Lande g Factor (g_j), Bohr Magneton (μ) & External Magnetic Field Strength (B) and hit the calculate button. Here is how the Energy of Negative Spin State calculation can be explained with given input values -> -5.3E-38 = -(1/2*(1.5*0.0001*7E-34)).

FAQ

What is Energy of Negative Spin State?

Energy of Negative Spin State is the energy of the state with (-1/2) as its magnetic spin which is obtained due to hyperfine interaction and is represented as E_-1/2 = -(1/2*(g_j*μ*B)) or Energy of Negative Spin State = -(1/2*(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 of Negative Spin State?

Energy of Negative Spin State is the energy of the state with (-1/2) as its magnetic spin which is obtained due to hyperfine interaction is calculated using Energy of Negative Spin State = -(1/2*(Lande g Factor*Bohr Magneton*External Magnetic Field Strength)). To calculate Energy of Negative Spin State, 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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