Electron Paramagnetic Resonance Frequency 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%

✖Electron Paramagnetic Resonance Frequency is the frequency of the incident beam of radiation to excite an electron from its ground state to its excited state.ⓘ Electron Paramagnetic Resonance Frequency [ν_epr]

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Formula

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Electron Paramagnetic Resonance Frequency

Formula

`"ν"_{"epr"} = ("g"_{"j"}*"μ"*"B"_{""})/"[hP]"`

Example

`"0.000158Hz"=("1.5"*"0.0001A*m²"*"7E^-34A/m")/"[hP]"`

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Electron Paramagnetic Resonance Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electron Paramagnetic Resonance Frequency = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[hP]
ν_epr = (g_j*μ*B)/[hP]
This formula uses 1 Constants, 4 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34

Variables Used

Electron Paramagnetic Resonance Frequency - (Measured in Hertz) - Electron Paramagnetic Resonance Frequency is the frequency of the incident beam of radiation to excite an electron from its ground state to its excited state.
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

ν_epr = (g_j*μ*B)/[hP] --> (1.5*0.0001*7E-34)/[hP]

Evaluating ... ...

ν_epr = 0.000158464971493118

STEP 3: Convert Result to Output's Unit

0.000158464971493118 Hertz --> No Conversion Required

FINAL ANSWER

0.000158464971493118 ≈ 0.000158 Hertz <-- Electron Paramagnetic Resonance Frequency

(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

Electron Paramagnetic Resonance Frequency Formula

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

What is the difference between EPR and NMR spectroscopy?

NMR deals with nuclei whose spin value is nonzero. The magnetic moment referred to EPR is the magnetic moment of the electron. EPR studies magnetic systems with unpaired electrons.

How to Calculate Electron Paramagnetic Resonance Frequency?

Electron Paramagnetic Resonance Frequency calculator uses Electron Paramagnetic Resonance Frequency = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[hP] to calculate the Electron Paramagnetic Resonance Frequency, Electron Paramagnetic Resonance Frequency is the frequency of the incident beam of radiation to excite an electron from its ground state to its excited state. Electron Paramagnetic Resonance Frequency is denoted by ν_epr symbol.

How to calculate Electron Paramagnetic Resonance Frequency using this online calculator? To use this online calculator for Electron Paramagnetic Resonance Frequency, enter Lande g Factor (g_j), Bohr Magneton (μ) & External Magnetic Field Strength (B) and hit the calculate button. Here is how the Electron Paramagnetic Resonance Frequency calculation can be explained with given input values -> 0.000158 = (1.5*0.0001*7E-34)/[hP].

FAQ

What is Electron Paramagnetic Resonance Frequency?

Electron Paramagnetic Resonance Frequency is the frequency of the incident beam of radiation to excite an electron from its ground state to its excited state and is represented as ν_epr = (g_j*μ*B)/[hP] or Electron Paramagnetic Resonance Frequency = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[hP]. 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 Electron Paramagnetic Resonance Frequency?

Electron Paramagnetic Resonance Frequency is the frequency of the incident beam of radiation to excite an electron from its ground state to its excited state is calculated using Electron Paramagnetic Resonance Frequency = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[hP]. To calculate Electron Paramagnetic Resonance Frequency, 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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