Collective Oscillation and Audit

Plasma Frequency Squares from Density

The collective oscillation scale is a square-frequency ledger. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The frequency square is a normalized density budget

Normalized constant 12 per second squared times density ratio 3 over mass ratio 6 gives omega squared 6 per second squared.

ω2=12⋅36=6 s−2\omega^{2}=\frac{12\cdot 3}{6}=6\ \text{s}^{-2}
Plasma frequency squareThe square is checked as a normalized exact ledger.electronEFx=2 mgradient=3 N/(C*m)E=6 N/Cq=-1 CF=-6 NK=12 1/s^2density=3massRatio=6omega2=6 1/s^2

Density raises the collective oscillation scale

The result is omega squared 6 per second squared for the whole displaced electron slab.

ω2=6 s−2\omega^{2}=6\ \text{s}^{-2}
Collective oscillation scaleThe value is a square frequency, not a client-side animation.electronEFx=2 mgradient=3 N/(C*m)E=6 N/Cq=-1 CF=-6 NK=12 1/s^2density=3massRatio=6omega2=6 1/s^2