$indexed single crystal diffraction pattern bcc$ $indexed single crystal diffraction pattern bcc$

Levy, Angle calculations for 3- and 4-circle X-ray and neutron diffractometers. Higashi, Auto-indexing of oscillation images. Adams, Robust indexing for automatic data collection. van Smaalen, Automatic indexing of area-detector data of periodic and aperiodic crystals. Duisenberg, Indexing in single-crystal diffractometry with an obstinate list of reflections. Klein, USCI - Ein Programm zur Indizierung von Einkristallreflexen. Pflugrath, The finer things in X-ray diffraction data collection. Nave, Automation of the collection and processing of X-ray diffraction data - a generic approach. An oscillation data processing suite for macromolecular crystallography (2003)Ī.G.W. A description of the programs Denzo, XDisplayF, Scalepack. Minor, Processing of X-ray diffraction data collected in oscillation mode. Powell, The Rossmann Fourier autoindexing algorithm in MOSFLM. Buerger, The Photography of the Reciprocal Lattice, ASXRED Monograph No 1 (The Murray Printing Company, Cambridge, MA, 1944) Weissenberg, Ein neues Röntgengoniometer. Amorós, A single crystal X-ray camera for direct recording of the reciprocal lattice. Boumannn, Das Photographieren von reziproken Kristallnetzen mittels Röntgenstrahlen. Randle, Atlas of Backscattering Kikuchi Patterns (Institute of Physics Pub, Bristol, UK, 1995) Butz, Laue Atlas (Bertelsmann Universitätsverlag, Düsseldorf, 1974)ĭ.J. Reprint of the 1st edition by Plenum, USĮ. Keown, Interpretation of Electron Diffraction Patterns (Springer Science+Business Media, LLC, 1967). Monograph Two: Electron Diffraction in the Electron Microscope (MacMillan, London, UK, 1975) Edington, Practical Electron Microscopy in Materials Science. Greninger, A back-reflection Laue method for determining crystal orientation. Die Deutung der Lauediagramme deformierter Kristalle. Bernal, On the interpretation of X-ray single crystal rotation photographs. Blumer, Indexing rhombohedral powder diffraction patterns. Bunn, Chemical Crystallography (Clarendon Press, Oxford, UK, 1945) Harrington, A simplified construction of Hull-Davey charts. Bjurström, Graphische Methoden zum Aufsuchen der quadratischen Form aus röntgenographischen Pulverphotogrammen. Davey, Graphical determination of hexagonal and tetragonal crystal structures from X-ray data. Morawiec, Indexing of diffraction patterns for determination of crystal orientations. Clegg, Crystal Structure Determination (Oxford University Press, Oxford, UK, 1998)Ī. The conclusion, I suppose, is thus that whenever we see Miller indices used to describe planes in fcc or bcc, by convention these are not in fact coordinates in the corresponding reciprocal lattices bcc and fcc, respectively (as they would be by the strict definition of Miller indices), but are instead coordinate in the reciprocal simple cubic lattice (to the underlying simple cubic direct lattice used to describe the crystal)? I can accept this only if the one-to-one correspondence asked about above exists.W.

$indexed single crystal diffraction pattern bcc$

In practice, it is only in the description of noncubic crystals that one must remember that the Miller indices are the coordinates of the normal in a system given by the reciprocal lattice, rather than the direct lattice. Also, does the converse hold? Is every lattice plane in the underlying simple cubic lattice also a lattice plane in the given fcc or bcc structure? Essentially, I am asking for a proof that, given a fixed bcc or fcc lattice, there is a one-to-one correspondence between lattice planes as described in bcc or fcc and as described in the underlying simple cubic lattice. It is the bolded part which I am asking about - I can convince myself intuitively that this should be true, but cannot prove it. Since any lattice plane in a fcc or bcc lattice is also a lattice plane in the underlying simple cubic lattice, the same elementary cubic indexing can be used to specify lattice planes. Ashcroft and Mermin remark, at the bottom of page 91 thatĪs a general rule, face-centered and body-centered cubic Bravais lattice are described in terms of a conventional cubic cell, i.e.

$indexed single crystal diffraction pattern bcc$

Indexed single crystal diffraction pattern bcc