Electron Paramagnetic Resonance Frequency Calculator

Electron Paramagnetic Resonance Frequency Formula:

\[ \nu_{epr} = \frac{g_j \cdot \mu \cdot B}{[hP]} \]

Lande g Factor (g_j):

unitless

Bohr Magneton (μ):

A·m²

External Magnetic Field Strength (B):

A/m

Electron Paramagnetic Resonance Frequency (ν_epr):

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1. What is Electron Paramagnetic Resonance Frequency?

Electron Paramagnetic Resonance Frequency is the frequency of the incident beam of radiation required to excite an electron from its ground state to its excited state in the presence of an external magnetic field.

2. How Does the Calculator Work?

The calculator uses the EPR frequency formula:

\[ \nu_{epr} = \frac{g_j \cdot \mu \cdot B}{[hP]} \]

Where:

\( \nu_{epr} \) — Electron Paramagnetic Resonance Frequency (Hz)
\( g_j \) — Lande g Factor (unitless)
\( \mu \) — Bohr Magneton (A·m²)
\( B \) — External Magnetic Field Strength (A/m)
\( [hP] \) — Planck constant (6.626070040 × 10⁻³⁴ J·s)

Explanation: The equation relates the resonance frequency to the magnetic properties of the electron and the strength of the external magnetic field.

3. Importance of EPR Frequency Calculation

Details: Accurate EPR frequency calculation is crucial for studying paramagnetic materials, understanding electron spin properties, and applications in spectroscopy and materials science.

4. Using the Calculator

Tips: Enter Lande g Factor, Bohr Magneton, and External Magnetic Field Strength. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of EPR frequencies?
A: EPR frequencies typically range from hundreds of MHz to several GHz, depending on the magnetic field strength and material properties.

Q2: How does the Lande g factor affect the resonance frequency?
A: The Lande g factor determines the magnetic moment of the electron and directly proportional to the resonance frequency.

Q3: What units should be used for input values?
A: Use appropriate SI units: Lande g factor (unitless), Bohr Magneton (A·m²), and Magnetic Field Strength (A/m).

Q4: What are common applications of EPR spectroscopy?
A: EPR is used to study free radicals, transition metal ions, defects in materials, and various biological systems.

Q5: How accurate is this calculation?
A: The calculation provides theoretical values based on the fundamental equation. Experimental results may vary due to environmental factors and material properties.