He is notable for his work on the "inorganic rubbers" with a phosphorus-nitrogen backbone (polyphosphazenes).
With James E. Mark and Robert West, Allcock co-authored the book Inorganic Polymers (Oxford University Press, 2005).
He also wrote Introduction to Materials Chemistry (John Wiley & Sons, 2008), Phosphorus-Nitrogen Compounds Cyclic, Linear, and High Polymeric Systems (Academic Press, 1972), Chemistry and Applications of Polyphosphazenes (Wiley-Interscience, 2002, and co-authored Contemporary Polymer Chemistry (Prentice Hall, 2003) with Fred Lampe and James Mark.
Allcock was elected as a member into the National Academy of Engineering in 2014 for the development of polyphosphazenes, a new class of biomaterials.
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