Info

"For an explanation about the notation for the atom sites, see text. The building blocks in this table contribute to Cm, C100, C120, etc. with D5d symmetry. Irreducible representations contained in *as are given in Table 4.20.

"For an explanation about the notation for the atom sites, see text. The building blocks in this table contribute to Cm, C100, C120, etc. with D5d symmetry. Irreducible representations contained in *as are given in Table 4.20.

Table 4.20

Irreducible representations of atomic sites x*'s' for Dsd of relevance to the Did isomer of the Cg0 molecule" [4.15],

Irreducible representations

"The characters for xas' in this table are given in Table 4.19.

in which the direct product is denoted by <g> and the irreducible representations for the *vector, *translation, and *rotation for group Dsh are given by

Table 4.22 lists the number of axial and radial molecular vibrations associated with each of the layers of carbon atoms of C70. This division into axial and radial molecular modes is only approximate but often gives a good description of the physics of the molecular vibrations. The terms axial and transverse refer to modes associated with motions along and perpendicular to the fivefold axis, respectively. Also included in Table 4.22 are the total number of axial and radial modes for C70+20y, which contains summaries of the mode symmetries for C70, C90, etc.

From Table 4.22 and Eq. (4.5), we see that the number of distinct mode frequencies for C70 is 122. It is sometimes useful to consider these modes as being approximately divided into cap modes and belt modes. Thus the 122

Table 4.21

The Dth irreducible representations (91) together with the number of distinct eigenvalues (N„) and the corresponding degeneracies g of the normal modes of the C70 molecule. The symbols and denote the number of distinct eigenvalues associated with the "belt" and "cap" modes, respectively, for each irreducible representation.

m

yybeit

AfcaP

nm

Was this article helpful?

0 0

Post a comment