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I. Infrared spectra of solid solutions in alkali halide crystals [and] Method for obtaining minimal kinematically complete sets of internal coordinates

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Title I. Infrared spectra of solid solutions in alkali halide crystals [and] Method for obtaining minimal kinematically complete sets of internal coordinates
Names Conant, Donald Robertson (creator)
Decius, J. C. (advisor)
Date Issued 1963-05-15 (iso8601)
Note Graduation date: 1963
Abstract A study was made of the infrared absorption spectrum for
cyanate ion in KCl and KBr host lattices containing small amounts of
calcium or barium ion. Both pellets and single crystals were
scanned during the course of this study. The spectra of the barium
or calcium doped crystals contained many new peaks which do not
appear in the spectra of cyanate doped KC1 or KBr crystals having no
divalent cations present. The proposal was made that new absorptions
arise from calcium ion-cyanate ion pairs in which the strong
field of the calcium ion reorients the longitudinal axis of the cyanate
ion along the cell edge from the more usual body diagonal orientation
of unpaired cyanate ion. This configuration increases the repulsive
forces acting on the end atoms of cyanate causing an increase
in the vibrational frequencies. The observed frequency shifts in the
spectra for crystals with barium ion present indicated, however,
that cyanate ion remains in the body diagonal orientation when barium
ion is a near neighbor. An additional effect examined was the change
of charge distribution within the cyanate ion caused by the presence
of calcium or barium ions as near neighbors. The magnitudes of
force constant changes, caused by the action of the surrounding
lattice upon the cyanate ion and caused by the shift in the cyanate ion
charge distribution, were estimated from theoretical calculations.
A method for obtaining a minimal kinematically complete set
of internal coordinates was proposed. According to this method,
once such a set is obtained for a molecule, any additional internal
coordinates added to the set to obtain symmetrical completeness are
declared redundant, thus facilitating the removal of redundancies
from the symmetry G matrix after factorization of the secular
equation. A procedure was given for choosing the internal coordinates
used in the kinematically complete set which leads to a reduction
in redundancies when the set is expanded to obtain symmetric
completeness. Several examples illustrating this method were given.
Genre Thesis/Dissertation
Topic Infrared spectra
Identifier http://hdl.handle.net/1957/48931

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