Iris Publishers - Modern Concepts in Material Science (MCMS)




A Simple Equation Results in Decades of Technical Fun

Decades ago, when I was getting my PhD, I needed to calculate the density of a mixture of two polymers. I was tempted to use equation 1 below:


Where x is the mass fraction of polymer (or metal for a metal alloy), y the mass fraction of polymer 2, rho the respective densities and rho the total polymer or alloy density

The derivation is in the appendix. Others have derived this equation before, as it is in some metallurgy texts.

Little did I know at the time that this equation would yield decades of “confrontation” and technical fun. Right after deriving this equation, some of my materials science grad student friends heard about it and asked for the equation. I suggested they derive it themselves and was a bit surprised that they had trouble doing it and sheepishly asked for my help in the derivation.

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