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ATM-36

Oscillator strength

Strong lines have f~1.

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Atomicoscillator strength

Governing equation

f∝A/ν2f\propto A/\nu^2

A∈[1×106,1×109]A \in \left[1\times 10^{6}, 1\times 10^{9}\right]

where

A
A (1/s)
\nu
Frequency (THz)
f
f (—)

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ATM-36 · spectrum
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①

Governing law — red

f∝A/ν2f\propto A/\nu^2

A∈[1×106,1×109]A \in \left[1\times 10^{6}, 1\times 10^{9}\right]

A=1×106A = 1\times 10^{6}f=6×10−14f = 6\times 10^{-14}

②

Domain of the variable — blue

Amin⁡=1×106,Amax⁡=1×109A_{\min} = 1\times 10^{6},\quad A_{\max} = 1\times 10^{9}

A∈[1×106,1×109]A \in \left[1\times 10^{6}, 1\times 10^{9}\right]

A=1×106A = 1\times 10^{6}A=1×106A = 1\times 10^{6}

③

Response curve — green

f∝A/ν2f\propto A/\nu^2

A∈[1×106,1×109]A \in \left[1\times 10^{6}, 1\times 10^{9}\right]

A=1×106A = 1\times 10^{6}f=6×10−14f = 6\times 10^{-14}

④

Rate of change — amber

dfdA\frac{\mathrm{d}f}{\mathrm{d}A}

A∈[1×106,1×109]A \in \left[1\times 10^{6}, 1\times 10^{9}\right]

A=7.28×106A = 7.28\times 10^{6}f′=6×10−20f^{\prime} = 6\times 10^{-20}

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-36 — Oscillator strength) is the form associated with oscillator strength. Working symbols: AA, ν\nu →\rightarrow ff. Strong lines have f~1.

Purpose

Purpose: compute ff from AA, ν\nu in Atomic physics via f∝A/ν2f\propto A/\nu^2 Strong lines have f~1. 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 A=1.000e+8 1/sA = 1.000e+8\,\mathrm{1/s}, ν=500.000 THz\nu = 500.000\,\mathrm{THz}, the governing relation f∝A/ν2f\propto A/\nu^2 yields f=5.996e−12 —f = 5.996e-12\,\mathrm{—}. Strong lines have f~1. Move a slider: the numbers are this situation, not a canned story.

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Inputs

Outputs

  • f f0.0000 —
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ATM-36 · spectrum
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Narration of this film

Strong lines have f~1.

Strong lines have f~1.

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Watch on YouTube