metamars, your calculation is not only wrong, it's irrelevant.
The aluminum develops an oxide layer about 5 nm thick. It is a fairly straightforward thing to prove that the ratio of oxide to pure aluminum is minimized for spherical particles. Until you get that result, you're doing it wrong...
But, again, this doesn't matter! The
theoretical maximum for thermite -- thermite with
no aluminum oxide, or at least where the radius of the aluminum particles is >> 5 nm, has an energy density no higher than about 4 MJ/kg. That's it. There is no trick of geometry, no shape, no smallness or largeness or anything that will ever get you above that number.
But, somehow, some of Dr. Jones's samples are double that. Hmm.
Besides, I don't have to do any math in the first place to prove what I said because it has been
observed. I misremembered the year of the article I was quoting -- it was actually 2001 -- so, to make up for that, here's the full cite, and key excerpts. The paper is:
T. M. Tillotson, A. E. Gash, R. L. Simpson, L. W. Hrubesh, J. H. Satcher Jr., and J. F. Poco, "Nanostructured Energetic Materials Using Sol-Gel Methodologies,"
Journal of Non-Crystalline Solids, Vol. 285, pp. 338-345, 2001.
Tillotson et al. said:
Integration of the exothermic peak in Fig. 3 resulted in a heat of reaction value of 1.5 kJ/g. This is significantly lower than the theoretical value of 3.9 kJ/g. One potential explanation involves the aluminum fuel itself. We know from HRTEM analysis that the UFG Al used in this sample has an oxide coating of ~5 nm. With 30 nm diameter Al this oxide coating repressents a large amount of the mass of the sample. In fact, a simple calculation, based on the volume of the oxide coating, indicates that the UFG aluminum used is actually 70% Al2O3 weight.
See? I'm not making this up. It's
fact. Any calculation or argument that contradicts fact is fantasy.
By the way, if you actually read the paper, you will see
numerous things that contradict Dr. Jones, and many more that make its application as a destructive agent in the World Trade Center about as impractical as it gets. Dr. Jones has read it, yet blunders on anyway, knowing that his readers don't question him. I doubt if more than a handful of other Truthers have read it. As usual.
Carry on if you must, but this argument was over before it began.