QNT-28

Electron g-factor moment

Spin magnetic moment in Bohr magnetons.

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GoverningElectron g-factor moment

Governing equation

\\mu=-g\\mu_B S/\\hbar

$g \in \left[1.5, 2.2\right]$

where

g: g (—)
mu: Electron g-factor moment (muB)

The figure, part by part

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①

Governing law — red

\\mu=-g\\mu_B S/\\hbar

$g \in \left[1.5, 2.2\right]$

$g = 1.5$ $mu = 0.75$

Along the curve

②

Domain of the variable — blue

g_{\min} = 1.5,\quad g_{\max} = 2.2

$g \in \left[1.5, 2.2\right]$

$g = 1.5$ $g = 1.5$

Along the curve

③

Response curve — green

\\mu=-g\\mu_B S/\\hbar

$g \in \left[1.5, 2.2\right]$

$g = 1.5$ $mu = 0.75$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}mu}{\mathrm{d}g}

$g \in \left[1.5, 2.2\right]$

$g = 1.504$ $mu^{\prime} = 0.5$

Along the curve

Lecture brief

Historical brief

Planck (1900), Einstein’s photoelectric law, Bohr, de Broglie, Heisenberg and Schrödinger’s 1926 equation rebuilt matter as amplitude. These sheets are the first solvable models: wells, spin, tunneling, uncertainty. This sheet (QNT-28 — Electron g-factor moment) is the form associated with Electron g-factor moment. Working symbols: $g$ $\rightarrow$ $mu$ . Spin magnetic moment in Bohr magnetons. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

mu

from

g

in Quantum mechanics via

\\mu=-g\\mu_B S/\\hbar

Spin magnetic moment in Bohr magnetons. Use it when a real quantum mechanics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

g = 2.002\,\mathrm{—}

, the governing relation

\\mu=-g\\mu_B S/\\hbar

yields

mu = 1.001\,\mathrm{muB}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

g g2.002 —

Outputs

Electron g-factor moment mu1.001 muB

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Spin magnetic moment in Bohr magnetons. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube