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Information theory in analytical chemistry

III. Distribution-analytical investigations

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Summary

The information of distribution analyses considerably exceeds that of integral analyses because of the spatial resolution. Distribution-analytical procedures are characterized by the ideal information amount which is determined by the ideal spatial resolving power A* that is theoretically attainable by actual scanning or mapping. Compared with it, the real information amount of distribution-analytical results are determined by a practical spatial resolving power and therefore, among others, by the number of measuring points. In dependence on the stochastical properties of multi-phase materials an optimum area can be specified for distribution-analytical investigations with a maximum information content. Methods of testing homogeneity can be characterized by means of the information theory in dependence on the arrangement of measuring points, on the evaluation of concentration or measuring values, and on their univariate, multiple or multivariate character.

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Authors and Affiliations

  1. Chemische Fakultät, Institut für Anorganische und Analytische Chemie, Friedrich-Schiller-Universität, Steiger 3, O-6900, Jena, Federal Republic of Germany

    K. Danzer

  2. Physikalisch-Astronomische Fakultät, Institut für Nichtlineare Optik, Friedrich-Schiller-Universität, Max-Wien-Platz 1, O-6900, Jena, Federal Republic of Germany

    M. Schubert

  3. Zentralinstitut für Festkörperphysik und Werkstofforschung der Akademie der Wissenschaften, Helmholtzstrasse 20, O-8027, Dresden, Federal Republic of Germany

    V. Liebich

Authors
  1. K. Danzer
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  2. M. Schubert
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  3. V. Liebich
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Part II: see [5]

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Danzer, K., Schubert, M. & Liebich, V. Information theory in analytical chemistry. Fresenius J Anal Chem 341, 511–518 (1991). https://doi.org/10.1007/BF00328487

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  • DOI: https://doi.org/10.1007/BF00328487

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