ATM-15

Oscillator strength

f = (8π² m ν / 3 h e²) |μ|² × (degeneracy sketch). Dimensionless line strength.

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SpectraOscillator strength

Governing equation

f=\dfrac{8\pi^2 m\nu}{3he^2}|\mu|^2

where

\nu: Frequency (PHz)
\mu: Dipole (D)
f: Oscillator strength (—)

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-15 — Oscillator strength) is the form associated with Oscillator strength. Working symbols: $\nu$ , $\mu$ $\rightarrow$ $f$ . f ~ 1 is a strong allowed line. TRK says the sum of f from a given level is Z.

Purpose

Purpose: compute

f

from

\nu

\mu

in Atomic physics via

f=\dfrac{8\pi^2 m\nu}{3he^2}|\mu|^2

f = (8π² m ν / 3 h e²) |μ|² × (degeneracy sketch). Dimensionless line strength. 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

\nu = 0.616\,\mathrm{PHz}

\mu = 1.500\,\mathrm{D}

, the governing relation

f=\dfrac{8\pi^2 m\nu}{3he^2}|\mu|^2

yields

f = 0.0217\,\mathrm{—}

. A dipole, a line, an f bar. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Frequency \nu0.616 PHzDipole \mu1.5 D

Outputs

Oscillator strength f0.0217 —

Reading speed

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Narration of this film

A dipole, a line, an f bar.

f ~ 1 is a strong allowed line. TRK says the sum of f from a given level is Z.

Reading speed

Watch on YouTube