Calculadora de Momento Magnético de Spin — Formula

Spin Magnetic Moment

A charged particle with intrinsic spin has a magnetic moment proportional to its angular momentum.

Formula

mu = g * (e / 2m) * S

where S = hbar * sqrt(s(s+1)) is the spin angular momentum.

  • *g* = Lande g-factor (approximately 2 for electrons)
  • *e* = elementary charge
  • *m* = particle mass

    • For an electron, the magnetic moment is about 1 Bohr magneton = 9.274 x 10^-24 J/T.

    Exemplo Resolvido

    Electron: g = 2.0023, s = 1/2, m = 9.109e-31 kg.

    1. S = hbar * sqrt(s(s+1)) = 1.0546e-34 * sqrt(0.75) = 9.133e-35 J s
    2. mu = g * (e/2m) * S
    3. e/2m = 1.602e-19 / (2 * 9.109e-31) = 8.794e10 C/kg
    4. mu = 2.0023 * 8.794e10 * 9.133e-35 = 1.608e-23 J/T
    5. In Bohr magnetons: 2.0023 * sqrt(0.75) = 1.734 mu_B