I have thought about the DSC results once more, and specifically that one chip which was determined to have released 7.5 kJ/g of specific energy. You know, the old argument that thermite alone cannot release more than 3.96 kJ/g, and there is some inert mass on that chip (the gray layer), so there has to be some substance that releases significantly more than 7.5 kJ/g. Harrit et al. correctly suggest that the organic matrix must be "energetic", and of course it is.
Yesterday and the day before that, I took some time to consider the following details:
1. Where does the oxygen for the organic combustion come from? Either from air - in that case, this material would not exhibit all the great properties of "nanothermitic materials", for it would depend on ambient oxygen and could only burn its surface; both limit burn rate and achievable temperature. Or the organic contains its own oxidizer.
1.1 Combustion in air:
Tabulated values of specific energy for non-halogeneous flammable polymers range from 15 to 42 kJ/g. The max is for PP and PE. Most are in the 20-30 kJ/g range. The more energetic the polymer, the less you need to boost the chip from the <4 kJ/g to 7.5 kJ/g, i.e. the higher the thermite content could be.
The maximum, 42 kJ/g, is for polymers which only contain C and H, no O, and which burn to completion, releasing CO
2 and water. For example Polypropylene has the sum formula (C
3H
6)
n. No O means practically it fully unoxidized, ot´r caries no "dead load" in its structure.
1.2 Polymer with embedded oxidizer
Much more difficult to find tabulated values, but one can envelop the maximum achievable specific energy:
Again, consider the most highly energetic polymer, PP, which is (C
3H
6)
n. To fully oxidize it and release all its energy, you need 0 oxygen atoms for each propylene group:
C
3H
6 + 4.5 O
2 -> c CO
2 + 3 H
2O
So any oxidizing agent that you could mix with PP to make it "thermitic" would have to have 9 O-atoms per P-group - plus whatever else that agent is made of. C
3H
6 has a molecular weight of 42, 9 O-atoms weigh 144, so 1 g of PP your mix would have to include > 144/42 g of oxidizer, for a combined weight of 186/42 g. These >186/42 g would still release no more than about 42 kJ - the specific energy of the composite (PP + oxidizer) is thus < (42 / (186/42)) kJ/g, or
< 9.5 kJ/g.
This value is heuristically an upper limit to the energy density of any "thermitic" polymer composite.
2. All the EDS-spectra of bulk red layers and their residues presented by Harrit et al, Basile and Millette clearly suggest that there is always at least as much Si in them as Al, and often more. So for this 7.5 kJ/g chip from the DSC experiment, we may assume that it, too, had at least Si=Al by mass.
3. Fig. 16 suggests that the Si is oxidized as SiO
2. This will be my only assumption for which I don't already have Harrit's agreement or more solid data, but I think it is reasonable.
4. Numbers 2. and 3. together mean that for each Al-atom, I have one SiO
2 molecule. For each 2 elemental Al-atoms, I need 1 Fe
2O
3 molecule for a thermite reaction, and those come with 2 SiO
2 molecules. It can thus be easily computed from atomic weights that for each mass unit of ideal, stoichiometric thermite, our chip will have 0.541 mass units of inert SiO
2 in the red layer.
5. The gray layer consists mostly of iron oxide, density 5.2 kg/L, which Harrit et al. consider to be inert. I agree that it is inert in the sense that it doesn't burn. In reality, this layer also contains hydroxyls which are released as H
2O as the chip is heated, and that is mildly exotherm. But I will ignore thatm the contribution towards the 7.5 kJ/g is probably not great.
The red layer is assumed to consist of organic matrix, Al and silica, all of which have a much lower density, plus some iron oxide in the thermite. So the density of the red layer is considerably lower than that of the grey layer. Harrit et al. describe the layers as having about the same thickness, by order of magnitude, so usually the gray layer would have a larger mass than the red layer due to its higher density. On the other hand, the chip that released the most energy probably had the least amount of gray mass, so I will assume that both layers have the same mass. I will also do some calculations that ignore the gray layer (mass=0)
So, with all of those assumptions and limiting cases explained, I created a spreadsheet to figure out the maximum amount of thermite thermite and minimum amount of organic matrix to enable the chip to reach 7.5 kJ/g, for a variety of cases:
- With and without gray layer = red layer by mass
- Thermite with ideal (3.96 kJ/g) and realistic (3.0 kJ/g) energy density
- Polymers with 42 (PP in air), 30, 20.4 (epoxy) and 9.5 (PP with ideal oxidizer)
And got the following conclusions:
1. It's not practically possible that the chip was boosted by a "thermitic polymer" to its 7.5 kJ/g - the organic matrix must have burned on air
2. The organic matrix must have provided at least 10 times as much energy as the maximum possible amount of thermite
3. That chip therefore cannot have been thermitic in any sensible meaning of the word
Full discussion and math:
7.5 kJ/g disproves thermitic material
(Prediction: That blog post will not go viral on any social network!
)