Dorian Hatch's Research

CURRENT RESEARCH INTERESTS

Phase transitions in solids (theoretical)

I have been collaborating with Professor Harold T. Stokes since 1983 on this project. We have been applying group-theoretical methods to the study of transitions between crystalline phases in solids. One of the major successes of our work has been the establishment of a large data base and the implementation of computer algorithms to carry out the group-theoretical computations in a wide variety of cases. Our collaboration has resulted in many jointly-authored papers in refereed journals over the years. In addition, we published a major reference work, Isotropy Subgroups of the 230 Crystallographic Space Groups , and played a major role in preparing the 1993 English edition of the Russian reference work Representations of the Crystallographic Space Groups , by O. V. Kovalev.
	Carbon 60, The BuckyBall

I have been collaborating with Professor Harold T. Stokes since 1983 on this project. We have been applying group-theoretical methods to the study of transitions between crystalline phases in solids. One of the major successes of our work has been the establishment of a large data base and the implementation of computer algorithms to carry out the group-theoretical computations in a wide variety of cases. Our collaboration has resulted in many jointly-authored papers in refereed journals over the years. In addition, we published a major reference work, Isotropy Subgroups of the 230 Crystallographic Space Groups , and played a major role in preparing the 1993 English edition of the Russian reference work Representations of the Crystallographic Space Groups , by O. V. Kovalev.

Carbon 60, The BuckyBall

I am also looking at phase transitions in collaboration with groups at the University of Washington (studies of transitions in minerals), Pennsylvania State University (Martensitic transitions), Los Alamos ( Elastic and Martensitic transitions), University of Nebraska, Omaha (ab initio caclulations), Ohio State University (ab initio calculations on metal alloy transitions), University of New Castle, Australia (tilting and ferroelectic mechanisms in perovskites), Penn State University (latent symmetry and multidomain ferroics), Center for Advanced Technology, Indore, India (latent symmetry), and the Former Soviet Union (obtaining sets of solutions of non linear systems using symmetry).

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