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Biophysical Chemistry, 37077 Göttingen, Germany IV Laboratory of Molecular Biophysics, Department of Biochemistry, University of Oxford, South Parks Road, Oxford, OX1 3QU, UK Received July 15, 2011; accepted November 2, 2011 Multigrain crystallography / 3DXRD microscopy / Crystal structure determination / Polycrystal diffraction / Crystal indexing Abstract. We summarize exploratory work on multi- grain crystallography. The experimental arrangement com- prises a monochromatic beam, a fully illuminated sample with up to several hundred grains in transmission geome- try on a

the observed diffraction elastic constants. Thus, more recently, in order to determine diffraction elastic constants workers have employed Finite Element crystal plasticity approaches (Wern et al. 2002), or self-consistent approaches (see below) which are more complex than the Kroner model. Such models have the advantage of being able to include the influence of texture on elastic properties, but the disadvantage of requiring numerical solution. The reverse problem—determining the single crystal elastic constants given the measured polycrystal diffraction