Physics

Magnetic Moment Calculator

Find the spin-only magnetic moment from unpaired electrons.

Parameters Live Compute
Calculated Output
Magnetic moment (μ_B) 3.873
Magnetic moment (J/T) 0
Formula: μ = √(n(n+2)) Bohr magnetons
Step-by-Step Breakdown
1. Values used:
2. Unpaired electrons = 3
3.
4. Magnetic moment = 3.873μ_B
5. Magnetic moment = 0J/T
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The spin-only formula estimates a transition metal ion's magnetic moment from unpaired electrons.

The math behind it

μ = √(n(n+2)) Bohr magnetons, where n is the number of unpaired electrons.

Worked Example

3 unpaired electrons → about 3.87 μ_B.

Frequently Asked Questions

Why ignore orbital contribution?

In many first-row transition metals it is largely quenched, so spin-only works well.

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