1. What is Energy of Negative Spin State?

The Energy of Negative Spin State is the energy of the state with -1/2 as its magnetic spin obtained due to electronic interaction in quantum systems under magnetic fields.

2. How Does the Calculator Work?

The calculator uses the Energy of Negative Spin State formula:

Where:

• \( E_{-1/2} \) — Energy of Negative Spin State (D)
• \( g_j \) — Lande g Factor (-)
• \( \mu \) — Bohr Magneton (A·m²)
• \( B \) — External Magnetic Field Strength (A/m)

Explanation: This formula calculates the energy of the spin state with magnetic quantum number -1/2 in the presence of an external magnetic field.

3. Importance of Energy Calculation

Details: Accurate calculation of spin state energies is crucial for understanding quantum mechanical systems, magnetic resonance phenomena, and electron behavior in magnetic fields.

4. Using the Calculator

Tips: Enter Lande g Factor, Bohr Magneton in A·m², and External Magnetic Field Strength in A/m. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is the Lande g Factor?
A: Lande g Factor is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field.

Q2: What is Bohr Magneton?
A: Bohr Magneton is the magnitude of the magnetic dipole moment of an electron orbiting an atom with such angular momentum.

Q3: How is External Magnetic Field Strength defined?
A: External Magnetic Field Strength is produced by moving electric charges and the intrinsic magnetic moments of elementary particles associated with their spin.

Q4: What are typical values for these parameters?
A: Lande g Factor typically ranges around 2, Bohr Magneton is approximately 9.274×10⁻²⁴ A·m², and magnetic field strengths vary from microtesla to several tesla.

Q5: What applications use this calculation?
A: This calculation is essential in quantum mechanics, magnetic resonance imaging (MRI), electron paramagnetic resonance (EPR), and studies of atomic spectra.