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Electron Paramagnetic Resonance Frequency Formula

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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. Check FAQs

ν epr = \frac{g j \cdot μ \cdot B}{[hP]}

ν_epr - Electron Paramagnetic Resonance Frequency?g_j - Lande g Factor?μ - Bohr Magneton?B - External Magnetic Field Strength?[hP] - Planck constant?

Electron Paramagnetic Resonance Frequency Example

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Here is how the Electron Paramagnetic Resonance Frequency equation looks like with Values.

Here is how the Electron Paramagnetic Resonance Frequency equation looks like with Units.

Here is how the Electron Paramagnetic Resonance Frequency equation looks like.

0.0002 = \frac{1.5 \cdot 0.0001 \cdot 7E-34}{6.6E-34}

0.0002Hz = \frac{1.5 \cdot 0.0001A*m² \cdot 7E-34A/m}{6.6E-34}

0.0002 = \frac{1.5 \cdot 0.0001 \cdot 7E-34}{6.6E-34}

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Electron Paramagnetic Resonance Frequency Solution

Follow our step by step solution on how to calculate Electron Paramagnetic Resonance Frequency?

FIRST Step Consider the formula

ν epr = \frac{g j \cdot μ \cdot B}{[hP]}

Next Step Substitute values of Variables

∴

ν epr = \frac{1.5 \cdot 0.0001A*m² \cdot 7E-34A/m}{[hP]}

Next Step Substitute values of Constants

∴

ν epr = \frac{1.5 \cdot 0.0001A*m² \cdot 7E-34A/m}{6.6E-34}

Next Step Prepare to Evaluate

∴

ν epr = \frac{1.5 \cdot 0.0001 \cdot 7E-34}{6.6E-34}

Next Step Evaluate

∴

ν epr = 0.000158464971493118Hz

LAST Step Rounding Answer

∴

ν epr = 0.0002Hz

Electron Paramagnetic Resonance Frequency Formula Elements

Variables

Constants

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.

Symbol: ν_epr

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Electron Paramagnetic Resonance Frequency

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

Bohr Magneton

Bohr Magneton is the magnitude of the magnetic dipole moment of an electron orbiting an atom with such angular momentum.

Symbol: μ

Measurement: Magnetic MomentUnit: A*m²

Note: Value can be positive or negative.

Formulas to find Bohr Magneton

External Magnetic Field Strength

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.

Symbol: B

Measurement: Magnetic Field StrengthUnit: A/m

Note: Value can be positive or negative.

Formulas to find External Magnetic Field Strength

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

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 Electron Paramagnetic Resonance Frequency?

Electron Paramagnetic Resonance Frequency evaluator uses Electron Paramagnetic Resonance Frequency = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[hP] to evaluate 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 evaluate Electron Paramagnetic Resonance Frequency using this online evaluator? To use this online evaluator for Electron Paramagnetic Resonance Frequency, enter Lande g Factor (g_j), Bohr Magneton (μ) & External Magnetic Field Strength (B) and hit the calculate button.

FAQs on Electron Paramagnetic Resonance Frequency

What is the formula to find Electron Paramagnetic Resonance Frequency?

The formula of Electron Paramagnetic Resonance Frequency is expressed as Electron Paramagnetic Resonance Frequency = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[hP]. Here is an example- 0.000158 = (1.5*0.0001*7E-34)/[hP].

How to calculate Electron Paramagnetic Resonance Frequency?

With Lande g Factor (g_j), Bohr Magneton (μ) & External Magnetic Field Strength (B) we can find Electron Paramagnetic Resonance Frequency using the formula - Electron Paramagnetic Resonance Frequency = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[hP]. This formula also uses Planck constant .

Can the Electron Paramagnetic Resonance Frequency be negative?

Yes, the Electron Paramagnetic Resonance Frequency, measured in Frequency can be negative.

Which unit is used to measure Electron Paramagnetic Resonance Frequency?

Electron Paramagnetic Resonance Frequency is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Electron Paramagnetic Resonance Frequency can be measured.

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Electron Paramagnetic Resonance Frequency Formula

Electron Paramagnetic Resonance Frequency Example

Electron Paramagnetic Resonance Frequency Solution

Electron Paramagnetic Resonance Frequency Formula Elements

Other formulas in EPR Spectroscopy category

How to Evaluate Electron Paramagnetic Resonance Frequency?

FAQs on Electron Paramagnetic Resonance Frequency

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