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THn AvrERrcANMruERAI ocrsr JOURNAL Vol 56 OF TIIE MINERALOGICAL SOCIETY OF AMERICA MARCH APRIL THE LOW KEY Nos 3 and 4 CRYSTALLOGRAPHYI 2 W F Bnaor ou Departmentof ChemicalEngineering Unhersity of Teras at Ausl in Aust in Teros 78712 Over past years our Society has been honored by Presidential addressesdelivered by proponents of best informed aspectsof their various areas of interest Later today we will enjoy a Roebling medal acceptance by an individual who will perform this function for my area I will therefore try today to give recognition to some of the scattered collateral benefits that accrue to mineralogy and crystallography by virtue of the adaptation of information deduced by the good practitioners from adequate data to materials from which collectable data is not definitive The remarkable successesthat have accumulated in the 58 years of Xray diffraction analyses have attracted an ever growing number of scientists providing an ever increasingfund of facts on which to draw Currently the availability of computer programs makes possible the solution of crystal structures from massive data collections with only limited time demandsand assuresa continuing proliferation of additional facts The neglected area is that populated by the large number of crystalline solids too imperfectly constituted to provide the massive data collections For their characterization recourse must be had to empirical basedprinciples ProfessorLinus Pauling was earliest to exploit extensively the recognition that complex stable structures were based on arrangements of relatively few coordinated polyhydral groupings and their articulations with each other Any such polyhedron has a calculable transform that represents its potential to scatter radiation in any given direction and the same is equally true of any articulated assemblageof polyhedra This potential amplitude then either is or is not delivered to observed intensities depending on the disposition in space and dimensional

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