@oberoniaomnia,
how do you get from mass of pure dehydrated Tergitol to film thickness of 31 nm? Tergitol is something like a C33 hydrocarbon chain and generally hydrocarbon chains are around 1 nm thick (e.g., sugar). I failed to find any information on volume of dry Tergitol.
First is does not dehydrate, as a 100% concentrate - it's an oil with very low vapor pressure and a specific gravity of 1.006 g/ml TERGITOL™ 15-S-9 Surfactant which is essentially the same as water.
There are a number of ways to calculate the record surface area. A close estimate is the surface are of the flat portion, the groove area and the side-wall ridge groove area. A simple groove length estimate is assuming an average groove velocity of the outer and inner grooves ((51-cm/s + 20-cm/s)/2) = 35.5-cm/s times a playback length of 20-min (1200-sec). The average groove dimension of the 45-deg groove wall triangle hypotenuse is about 0.0016-inches so that each groove has about 0.0032-inches linear length that is about 0.0022-inch wide at the top and then add 10-15% for the side wall ridges, Run all the numbers, and the surface area including grooves and side-wall ridges is approximately, close-enough, to 1-sq-ft, which make the film thickness analysis easier.
The non-volatile residue (NVR) nominal film thickness (Contamination Control Engineering Design Guidelines for the Aerospace Community, NASA Contractor Report 4740, May 1996) assumes the contaminant is uniformly applied and has a density of 1-g/cm³ = 62.43 lbs/ft³ (same as freshwater); and while a 1-micron film calculates to about 9.1 mg/ft², for ease of use 10 mg/ft² equals 1-micron thickness is used which is proportional. Most water-soluble nonionic surfactants have a density very close to water, but much lower density contaminants will develop larger film thickness while denser contaminants such as hard water spots develop thinner thickness.
I do a deep dive into the whole subject of “What is clean?” and for a record “When is a vinyl record clean?" in this free book -Precision Aqueous Cleaning of Vinyl Records-3rd Edition - The Vinyl Press Chapter XI which is pretty technical but given your background you should be able to wade through it.
Enjoy,
Neil