PERIODIC BEHAVIOUR OF DATA FOR MAIN-GROUP TRIATOMIC MOLECULES
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Date
1990
Journal Title
Journal ISSN
Volume Title
Publisher
Ohio State University
Abstract
We suggest that all neutral ground-state triatomic molecules (including permutation isomers) be arranged in a cubic lattice on $Z_{1}, Z_{2}$, and $Z_{3}$. We then create a new lattice by (1) pulling out, perpendicular to each axis, molecules with H and He, with transition-metal atoms, and with rare-earth atoms, and then (2) shoving the outer portions inward so that the lattice is again uninterrupted from its least massive member $(Li_{3})$ outward along each axis. On the basis of the behaviours of atomic and diatomic molecular 1-3 data, of the group-dynamic analyses of periodic systems, 3,4 and of previous studies of triatomic molecules, 3 we propose that data for various properties of these main-group triatomics are periodic, with a ``wavelength'' of 8 and with ``phase'' zero at rare-gas molecules, moving parallel to each axis of this new lattice. We detail this behaviour -- especially the group-number regions where the most stable molecules are found -- by (1) preparing a data base containing quality tabulated data for molecules with known structure, and (2) plotting data as color-coded balls in (cubical blocks of) the lattice (defined by fixed row numbers $R_{1}, R_{2}$, and $R_{3}$) and then (3) pointing out similarities in the color patterns from block to block. We supplement the demonstration by (1) preparing another data base which includes more molecules (those whose ABC order is unknown), and (2) plotting the data using kong's method
Description
$^{1}$ R. Hefferlin, R. Campbell, D. Gimbel, H. Kuhlman, and T. Cayton, J. Quant. Spect. Rad. Transfer 21, 315 (1979). $^{2}$ F. A. Kong, J. Mol. Struct. 90, 17 (1982). $^{3}$ R. Hefferlin, ``Periodic Systems and their Relation to the Systematic Analysis of Molecular Data, ''Edwin Mellen Press, Lewiston, NY, 1989. $^{4}$ R. Hefferlin, G. V. Zhuvikin, K. E. Caviness, and P. J. Duerksen, J. Quant. Spect. Rad. Transfer 32, 257 (1984).
Author Institution: Physics Department, Southern College
Author Institution: Physics Department, Southern College