Theoretical Possibility of a N-methyl Polymer Structure

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Mayhem
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Out of sheer curiosity, would a polymer of the following structure be theoretically possible?

1607907642372.png

Imagine that the "N-methyl" groups are just the bounds of what is shown, and not actual carbon-containing substituents...

It doesn't seem to break any elementary bonding rules. However, the C-C bond is over twice as strong as the N-N bond, so in practical terms, it would be relatively fragile.
 
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There’s been a decent amount of theoretical work done on what allotropes of nitrogen are possible. You can get a rough estimate for the formation energy of hexagonal nitrogen relative to N2 by comparing binding energies. It comes out to somewhere around 250 kJ/mol. This quantifies a well-known phenomenon in highly nitrogenous compounds: even if hexagonal nitrogen were able to exist, it would be—at the very least—an extremely powerful explosive.

The research groups that study nitrogen-rich compounds generally consider other nitrogen allotropes as more realistic synthetic targets (but still likely impossible, and also extremely explosive). Some of these targets include azidoazide: N6 or (N3)2, a pseudohalogen analogous to cyanogen; and tetraazidoammonium azide: N16 or (N3)4N+N3-.
 
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I don't have the reference to hand, but I read recently that you can create fluorescent nanodots of carbon nitride derived from pyrolysis of citrazinic acid. Nominally, that would be hexagonal rings of alternating carbon and nitrogen atoms.

If I had to try this, I would be looking at conditions under which diazine could be polymerised or, if not possible, an unsaturated amine