Until recently quantum chemical ab initio calculations were re stricted to atoms and very small molecules. As late as in 1960 Allen l and Karo stated : "Almost all of our ab initio experience derives from diatomic LCAO calculations ••• N and we have found in the litera ture "approximately eighty calculations, three-fourths of which are for diatomic molecules ••• There are approximately twenty ab initio calculations for molecules with more than two atoms, but there is a decided dividing line between the existing diatomic and polyatomic wave functions. Confidence in the satisfactory evaluation of the many -center two-electron integrals is very much less than for the diatom ic case". Among the noted twenty calculations, SiH was the largest 4 molecule treated. In most cases a minimal basis set was used and the many-center two-electron integrals were calculated in an approximate way. Under these circumstances the ab initio calculations could hard ly provide useful chemical information. It is therefore no wonder that the dominating role in the field of chemical applications was played by semiempirical and empirical methods. The situation changed essentially in the next decade. The problem of many-center integrals was solved, efficient and sophisticated computer programs were devel oped, basis sets suitable for a given type of problem were suggested, and, meanwhile, a considerable amount of results has been accumulated which serve as a valuable comparative material. The progress was of course inseparable from the development and availability of computers.
A charge transfer across the interface between two immiscible liquid media has an important role both in nature and in man-designed applications. Ion transfer across the biological membranes, behavior of ion-selective electrodes with liquid membranes and similar sensors, extraction processes, phase transfer catalysis and applications in electroanalytical chemistry can serve as examples. Present interest in the interface between two immiscible electrolytes (liquid liquid or L/L interface) was originated by Koryta's idea (Koryta, Vanysek and Brezina 1976) that the interface between immiscible liquids could serve as a simple model for one half of a biological membrane in the contact with the surrounding electrolyte. It was also Koryta who started using the acronym ITIES (Interface between Two Immiscible Electrolyte Solutions) which generally encompasses all the phenomena discussed in this book. Physiological and electrochemical investigations have certainly well established tradition. In his classic experiments with frog thighs Luigi Galvani discovered in 1791 relationship between electricity and nerves and muscles. As outlined by Koryta and Stullk (1983) in the introduction to their book, the study of electrophysiological phenomena did not progress much for several decades and only a few experiments were performed. For instance M. Faraday (Williams, 1965) studied the electricity produced by an electric fish and Du Bois-Reymond (1848) suggested that the surface of biological formations have properties similar to the electrode of a galvanic cell. However, the properties of biological membrane could not be explained before the first concept of electrochemistry was postulated.
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