Use our Electron Spin Magnetic Moment Calculator to determine the intrinsic magnetic moment (μs) of an electron. This tool leverages the electron's spin gyromagnetic ratio (γs) and the reduced Planck constant (ħ) to provide precise results. It's an indispensable resource for students and professionals in quantum mechanics, solid-state physics, and atomic structure research.
Formula:
The spin magnetic moment (μs) of an electron can be calculated using the following formula, directly incorporating its gyromagnetic ratio:
μs = γs × (ħ / 2)
Where:
- μs = Spin Magnetic Moment (expressed in Joules per Tesla, J/T, or Ampere-square meters, A·m²)
- γs = Spin Gyromagnetic Ratio of the electron (standard unit: Coulombs per kilogram, C/kg, or radians per second per Tesla, rad/(s·T)). For a free electron, the typical value is approximately -1.760859644 × 1011 C/kg.
- ħ = Reduced Planck Constant (a fundamental physical constant, approximately 1.054571817 × 10-34 J·s)