ATM-35

Paschen–Back ratio

≫1 uncouples L and S.

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AtomicPaschen–Back

Governing equation

\eta=\mu_B B/\Delta E_{so}

where

B: B (T)
\Delta E_{so}: Fine split (meV)
\eta: η (—)

Lecture brief

Historical brief

Balmer, Rydberg, Bohr (1913), fine structure, Zeeman and Stern–Gerlach built the spectrum of one atom. The lab computes levels, selection and magnetic splitting. This sheet (ATM-35 — Paschen–Back ratio) is the form associated with Paschen–Back. Working symbols: $B$ , $\Delta E_{so}$ $\rightarrow$ $\eta$ . ≫1 uncouples L and S.

Purpose

Purpose: compute

\eta

from

B

\Delta E_{so}

in Atomic physics via

\eta=\mu_B B/\Delta E_{so}

≫1 uncouples L and S. Use it when a real atomic physics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

B = 2.000\,\mathrm{T}

\Delta E_{so} = 1.000\,\mathrm{meV}

, the governing relation

\eta=\mu_B B/\Delta E_{so}

yields

\eta = 0.116\,\mathrm{—}

. ≫1 uncouples L and S. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

B B2 TFine split \Delta E_{so}1 meV

Outputs

η \eta0.116 —

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Narration of this film

≫1 uncouples L and S.

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