A teaching tape for LQ-09, Gas Ionization Bounds and Counting Model
Gas Ionization Threshold and Single-Quantum Energy Conservation
Walkthrough of Einstein's 1905 §9 threshold bound h*nu >= J_mol, count relations j = L/(R*beta*nu), and historical checks.
Open LQ-09 with these settings
Where it starts
| Setting | Value |
|---|---|
| Light Frequency (frequency) | 2901590000000000 |
| Ionization Energy (ionizationEnergyEv) | 10 |
| Optical Power (incidentPower) | 0.000001 |
| Absorption Fraction (absorptionEfficiency) | 0.5 |
| Illumination Duration (duration) | 1 |
| Ionization Yield (declaredFraction) | 1 |
What it changes, and what to expect
Where it starts, before anything changes
One microwatt absorbed, before the power is doubled
The walkthrough opens with one microwatt of absorbed light above the ionization threshold. Read the count of ionized molecules off the instrument here, because the next step doubles the power and the claim being made is that the count follows in proportion. The threshold itself is a separate question from the count: it is about whether a single quantum carries enough energy, and doubling the power does not change it.
Set Optical Power (incidentPower) to 0.000002 changes what the run starts from
Proportional Energy Accounting
Doubling absorbed light energy L doubles the count of ionized molecules: j = L / (R*beta*nu).
What the author recorded that a reader should see here. Quantity Expected Under ionizationCount 5.20125 × 10¹¹ modern-si-2019
These are the values the tape's author recorded, not a result this page computed. Nothing here runs the instrument. Open LQ-09 with these settings: the link opens it with them already in place. Compare what it gives you with what is recorded here. The settings travel in the link and the laboratory reads them as it loads, so without JavaScript it opens at its worked example instead.
What these numbers were recorded under
| Identity | Recorded as |
|---|---|
| Model | lq09-ionization-reference-v1 version 1 |
| Seed | 0 |
| Random-stream semantics | version 1 |