A teaching tape for LQ-06, Matching the Entropy Coefficients to Derive the Light Quantum
The Move: From Entropy Law to Energy Quanta
Teaching tape demonstrating the matching of the entropy coefficients between ideal gas and monochromatic radiation.
Open LQ-06 with these settings
Where it starts
| Setting | Value |
|---|---|
| Radiation Energy (radiationEnergy) | 9.055615e-9 |
| Radiation Frequency (frequency) | 600000000000000 |
| Gas Particle Count (gasParticles) | 10 |
| Volume Ratio (V / V0) (volumeRatio) | 0.5 |
| Equilibrium Temperature (temperature) | 3000 |
What it changes, and what to expect
Where it starts, before anything changes
Ten points in the gas, before the count is doubled
The walkthrough opens with ten points in the gas at the declared volume ratio and temperature. Read the gas entropy off the instrument here first: the next step's claim is about how that number responds when the count of points doubles, and a single reading cannot show a response. Einstein's move is the match between this coefficient and the one radiation gives, so the quantity to watch is the coefficient, not its size.
Set Gas Particle Count (gasParticles) to 20 changes what the run starts from
Double the gas particles
Changing n to 20 doubles the exponent in the volume ratio.
What the author recorded that a reader should see here. Quantity Expected Under gasEntropy −1.91399 × 10⁻²² J/K 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-06 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 | lq-06-coefficient-match version 1 |
| Seed | 0 |
| Random-stream semantics | version 1 |