Gulp! Kind of putting me on the spot!2 layers of 16mm = 32mm and 3 layers of 12.5mm = 37.5mm.
Surely this is more mass than a double 16mm wall?
Why will it not have a lower RF?
Can you possibly explain this with numbers?
OK, the basic issue is that the leaf acts both as a whole (one single mass) but each part also acts individually. So although the total mass is greater, it is still made up of several thinner, lighter and more flexible pieces, each of which will react to its own physical properties. "Thin" means lower surface density means higher resonant frequency (for the individual panels). "Flexible" means less resistance to bending waves, means it vibrates easier at more frequencies. "Low mass" is self explanatory. So the panels do still act by themselves, as well as acting together as a leaf. For example, there is a possibility that the panels can vibrate individually, "rattling" against each other, especially if they happen to resonate at different harmonics. Then, being thin and flexible, there is a greater chance of having tiny air cavities trapped between layers, and tiny air cavities are not good.... Then there are also the issues of bending waves and coincidence dips and shear and acoustic impedance and the different equations for thin panels and thick panels and critical frequencies, and a lot of other fancy-sounding stuff that I don't understand too well... But even something simple like the coincidence dip is much deeper for thinner panels than it is for thick panels.
Numbers.... Hmmmm... hard to find, but Presto! Here's some numbers from tests done by Thermafiber. (Check their website.) The tests were actually done on a series of walls to show how their product improves performance, but the table also happens to show the raw data of improvement by using the SAME product in two different thicknesses of drywall:
125 250 500 1k 2k 4k
1/2-in. 0.5 2.6 1.0 1.3 3.1 2.6
5/8-in. 0.1 0.2 1.2 0.0 1.6 2.6
Ok, that's not really a conclusive laboratory proof, but it does indicate something: The only place where 1/2" drywall is better, is in the region from 1kHz to 4Khz, but at such high frequencies it really doesn't matter, because the wall is isolating so well anyway! Isolation problems are always in the LOW end of the spectrum, where 5/8 (16mm) is always better than 1/2 (12mm).
If you want to get a better handle on the theory, then the best I can think of is the good old Wyle report (WR 73-5R), from way back in 1973, but still very valid, and very easy to understand, for the basics on MSM isolation.
(PS. No, gluing thin panels together to try to make thick panels doesn't work either, and that is even harder to understand!)
- Stuart -