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Lande g Factor Formula:
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The Lande g Factor is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field. It quantifies the magnetic moment and gyromagnetic ratio of atomic systems in electron paramagnetic resonance studies.
The calculator uses the Lande g Factor formula:
Where:
Explanation: The formula accounts for the coupling between orbital and spin angular momenta in atomic systems under magnetic fields.
Details: The Lande g Factor is crucial for understanding Zeeman splitting, electron paramagnetic resonance spectroscopy, and magnetic properties of atoms and molecules in quantum mechanics.
Tips: Enter valid quantum numbers (l, s, J) as positive numbers. The total angular momentum quantum number J must be greater than zero for meaningful results.
Q1: What is the physical significance of the Lande g Factor?
A: The Lande g Factor describes the magnetic moment of an electron and determines how energy levels split in a magnetic field, which is fundamental to electron paramagnetic resonance spectroscopy.
Q2: What are typical values for the Lande g Factor?
A: For free electrons, g ≈ 2.0023. For atoms with both orbital and spin angular momentum, g can range from approximately 0.5 to 2.5 depending on the quantum numbers.
Q3: When is the Lande g Factor used?
A: It's primarily used in electron paramagnetic resonance (EPR) and electron spin resonance (ESR) spectroscopy to analyze paramagnetic species and determine their electronic structure.
Q4: Are there limitations to this formula?
A: The formula applies to weak magnetic fields and assumes LS coupling. It may not be accurate for strong fields or systems with different coupling schemes.
Q5: How does the Lande g Factor relate to magnetic moment?
A: The magnetic moment μ is given by μ = gjμB√[J(J+1)], where μB is the Bohr magneton.