In 1942, he gave a Doctor of Philosophy from Delft University of Technology and published his thesis, Onderzoekingen op het gebied algebraïsche optiek (Essays in the area of science optics).

[3] In a 1947 paper,[4] Korringa showed how multiple scattering theory (MST) could be used to find the energy as a function of wavevector for electrons in a periodic solid.

Two of Korringa's students, Sam Faulkner[6] and Harold Davis, started a program at the Oak Ridge National Laboratory using the Korringa-Kohn-Rostoker (KKR) band-theory equations to calculate the properties of solids.

In 1958 he published an approach, now called the average t-matrix approximation, for calculating the electronic states in random substitutional alloys.

Balázs Győrffy and Malcolm Stocks[9] combined it with the KKR theory to obtain the KKR–CPA method, which is presently used for alloy calculations.