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Magnetogyric Ratio Formula:
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The Magnetogyric Ratio (γ) is a fundamental physical constant that represents the ratio of the magnetic moment to the angular momentum of a particle. For electrons, it's a crucial parameter in quantum mechanics and magnetic resonance applications.
The calculator uses the formula:
Where:
Explanation: This formula calculates the gyromagnetic ratio for electrons based on their fundamental physical properties.
Details: The magnetogyric ratio is essential in nuclear magnetic resonance (NMR) and electron paramagnetic resonance (EPR) spectroscopy, MRI technology, and understanding the magnetic properties of fundamental particles.
Tips: Enter the charge of electron in Coulombs. The default value is the standard electron charge (1.60217662 × 10⁻¹⁹ C). The mass of electron is fixed at 9.10938356 × 10⁻³¹ kg.
Q1: What is the typical value of electron magnetogyric ratio?
A: The standard value is approximately 1.760859 × 10¹¹ rad·s⁻¹·T⁻¹ or 2.802495 × 10¹⁰ Hz/T.
Q2: How is magnetogyric ratio different from g-factor?
A: The magnetogyric ratio relates magnetic moment to angular momentum, while the g-factor is a dimensionless quantity that measures the ratio of the observed magnetic moment to the theoretical value.
Q3: Why is electron magnetogyric ratio negative?
A: The electron magnetogyric ratio is negative because the electron's magnetic moment is opposite to its spin angular momentum direction.
Q4: What are the applications of magnetogyric ratio?
A: It's used in MRI machines, NMR spectroscopy, EPR spectroscopy, and in studying fundamental particle properties in quantum mechanics.
Q5: Can this calculator be used for other particles?
A: No, this calculator is specifically designed for electrons. Other particles have different mass and charge values, requiring different calculations.