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Quantitative interpretation of X‐ray diffraction patterns of mixtures. II. Adiabatic principle of X‐ray diffraction analysis of mixtures
Author(s) -
Chung F. H.
Publication year - 1974
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889874010387
Subject(s) - adiabatic process , diffraction , matrix (chemical analysis) , x ray , x ray crystallography , physics , binary number , optics , computational physics , chemistry , thermodynamics , mathematics , chromatography , arithmetic
All the information relating to the quantitative composition of a mixture is coded and stored in its X‐ray diffraction pattern. It has been the goal of X‐ray diffraction analysts since the discovery of X‐rays to retrieve and decode this information directly from the X‐ray diffraction pattern rather than resort to calibration curves or internal standards. This goal appears to be attained by the application of the `matrix‐flushing theory' and the now‐proposed `adiabatic principle' in applied X‐ray diffraction analysis. The matrix‐flushing theory offers a simple intensity‐concentration equation free from matrix effects which degenerates to `auto‐flushing' for binary systems. The adiabatic principle establishes that the intensity–concentration relationship between each and every pair of components in a multi component system is not perturbed by the presence or absence of other components. A key equation is derived which conducts the decoding process. Both the matrix‐flushing theory and the adiabatic principle are experimentally verified.