INO-10

Spin-only magnetic moment

μso = √(n(n+2)) BM. Unpaired-electron moment.

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MagnetismSpin-only

Governing equation

\mu_{so}=\sqrt{n(n+2)}

where

n: Unpaired electrons (—)
\mu_{so}: Spin-only moment (\mu_B)

Lecture brief

Historical brief

Pauling and Allred–Rochow electronegativity, Kapustinskii lattice energy, CFSE and Goldschmidt radii organise the periodic solid. The sheets predict bond character and crystal packing. This sheet (INO-10 — Spin-only magnetic moment) is the form associated with Spin-only. Working symbols: $n$ $\rightarrow$ $\mu_{so}$ . Orbital angular momentum is quenched in many Oh complexes. n unpaired electrons.

Purpose

Purpose: compute

\mu_{so}

from

n

in Inorganic chemistry via

\mu_{so}=\sqrt{n(n+2)}

μso = √(n(n+2)) BM. Unpaired-electron moment. Use it when a real inorganic chemistry question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

n = 5.000\,\mathrm{—}

, the governing relation

\mu_{so}=\sqrt{n(n+2)}

yields

\mu_{so} = 5.916\,\mathrm{mu_B}

. Enter the number of unpaired electrons. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Unpaired electrons n5 —

Outputs

Spin-only moment \mu_{so}5.916 \mu_B

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Narration of this film

Enter the number of unpaired electrons.

Orbital angular momentum is quenched in many Oh complexes. n unpaired electrons.

Reading speed

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