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Summarization of Glassy Spectral Data with Particular Reference to the Boron Anomaly
Author(s) -
PETERSON G. E.,
KURKJIAN C. R.,
CARNEVALE A.
Publication year - 1984
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1984.tb19530.x
Subject(s) - boron , classification of discontinuities , barium borate , spectral line , borate glass , absorption (acoustics) , automatic summarization , materials science , absorption spectroscopy , analytical chemistry (journal) , matrix (chemical analysis) , singular value decomposition , mineralogy , chemistry , optics , physics , computer science , mathematics , algorithm , mathematical analysis , information retrieval , composite material , quantum mechanics , organic chemistry , chromatography
A matrix method is described for summarizing the information in a family of glassy spectra. By means of a singular‐value decomposition we can determine the number of parameters that are needed to describe the data. Frequently this turns out to be very small, often only one or two. These parameters, which can be obtained from the above expansion, can be used for engineering design purposes or can be compared with bulk properties to obtain structural information. This technique is applied to optical absorption spectra of Co 2+ in sodium borate glasses, 20‐MHz acoustic‐loss spectra, and infrared‐absorption spectra of sodium borate glasses. Very pronounced discontinuities are observed in the neighborhood of 15% Na 2 O in all cases. In general they are difficult to observe in the raw data.