In the field of shape memory materials a lot of research has been carried out to explain transformation hysteresis and fatigue behavior of metallic compounds with reversible martensitic phase transformations and the compositional sensitivity of these properties. It was possible to mathematically connect the crystallographic properties like crystal structure and lattice parameters with these functional properties by the application of the theory of supercompatibility. With this knowledge compounds with very narrow thermal hysteresis and extraordinary low-fatigue behavior like Ti54.7Ni30.7Cu12.3Co2.3 or Zn45Au30Cu25 , have been systematically detected. In general the theory of supercompatibility should not only work for metallic compounds with martensitic phase transformations but might also be applicable to other materials like e.g. oxides. With this knowledge a drastic reduction of fatigue and thermal hysteresis of phase transitions of ceramic materials should be possible.
In this work the cubic-to-tetragonal phase transition of the system Ba(Ti1-xZrx)O3 with x<0.015 is investigated with special attention to thermal hysteresis and functional properties and their connection to the crystallographic properties of the material. By determining the temperature dependent lattice parameters the compatibility of the participating phases can be calculated and directly linked to the thermal properties of the phase transformation.
Funding by the DFG and the RDF Fund of the Institute on the Environment at the University of Minnesota is gratefully acknowledged.
 Z. Zhang, R. D. James, S. Müller, Acta Mat. 2009, 57, 4332-4352
 H. Gu, L. Bumke, C. Chluba, E. Quandt, R. D. James, Mater. Today 2018, 21, 265-277
 X. Ni, J. R. Greer, K. Bhattacharya, R. D. James, X. Chen, Nano Lett. 2016, 16, 7621-7625
 Y. Song, X. Chen, V. Dabade, T. W. Shield, R. D. James, Nature 2013, 502, 85-88