Degeneracy, loss

K4Mo(CN)7.2H20, has been precipitated from aqueous solution by the addition of ethanol. Its magnetic moment ( 1.75 BM) is consistent with 7-coordinate Mo in which the loss of degeneracy of the tjg orbitals has caused pairing of 2 of the three d electrons. 

Loss of degeneracy of energy levels of molecular entities due to lower site symmetry created by a crystalhne environment this term is not synonymous with hgand field splitting. See Ligand Field Splitting Comm, on Photochem. (1988), Pure and Appl. Chem. 60, 1055. 

The loss of degeneracy of atomic or molecular levels in a molecular entity with a given symmetry by the attachment or removal of ligands to produce reduced symmetries. Ligand field theory treats metal ligand complexation as a consequence of molecular orbital formation, whereas crystal field splitting considers ligands as point... 

The simplest new phenomenon induced by this mechanism is a secondary bifurcation from the first primary branch, arising from the interaction between the latter and another nearby primary branch. It leads to the loss of stability of the first primary branch or to the stabilization of one of the subsequent primary branches, as illustrated in Fig. 1. The analysis of this branching follows similar lines as in Section I. A, except that one has now two control parameters X and p., which are both expanded [as in equation (5)] about the degeneracy point (X, p.) corresponding to a double eigenvalue of the linearized operator L. Because of this double degeneracy, the first equation (7) is replaced by... 

Zundel reports on the hydration of thin polyelectrolyte ion-exchange membranes subject to progressive increases in water sorption. Spectroscopic observations of these systems reflect the hydration of polyion charge centers in the membranes but in the presence of associated counterions, which in turn are progressively hydrated. Zundel worked with polysulfonates and found the spectra of unhydrated polymer salts the cation is attached unsymmetrically to the SOj groups. This mode of attachment leads to a loss of degeneracy in the antisymmetric vibrations. 

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