Polyhedral representations

Fig. 16.1 S elected polyhedral representations showing connectivity of mixed MO Clm n+m<6) (shaded polyhedron) and M 04 (open) units observed in the examples given in this report.

Fig. 15. Ball and stick representations of (a) [P4Mo6028(OH)3]9 (P4MoGOe), (b) [P4Mo6S3025(OH)3]9 (P4MogS303), (c) [P4Mo6S6022(0H)3]9- (P4Mo6S6) (d) their common polyhedral representation (e) a view of the dimeric species formed by an M2+ ion (M = Cr, Mn, Fe, Co, Ni, Zn, Cd) or a sodium cation sandwiched by two P4Mo6EG units.

Fig. 8. Polyhedral representation of the Keggin structure (central tetrahedral atom not shown). The lines seen in the center are the edges of the V30i3 subunit at the back (cf. also Fig. 21). Black dots indicate where one of the two five-coordinate capping units are attached in [Vi5042]9 .

Fig. 20. Polyhedral representation of the structure of [H2W12O42]10 (paratungstate B) showing the location of the protons in the center. The structure is built from two different types of trioctahedral subunits.

Fig. 21. Polyhedral representation of the a- and /3-Keggin structures of [(H2)Wi2 O40]6, also known as metatungstate and tungstate X respectively. The numbers show where the W30i3 unit (60° rotation involved) is attached to build the structures.

Fig. 22. Polyhedral representation of the structures of [HW50i9]7 and [H3W6022l5 viewed as fragments of the [W7O24]6 structure. The location of the third proton of [H3W6022]5 is uncertain.

Figure 1. Polyhedral representations of the layers in 2 1 smectites (A) and 1 1 kaolinites (B). Only a single layer is shown in each. The view is down the [041] axis of the unit cell.

Fig. 2.3-27. Molecular structure of 82 (only the N atoms directly bonded to the Ca atoms are shown). The first coordination sphere around the central Ga atom is shown in a polyhedral representation.

Figure 10 The Perovskite (CaTi03) structure. A polyhedral representation for an unit cell having different origins. From Reference 169. 

Figure 13 Projections of (a) tetragonal(II), and (b) hexagonal "tungsten bronze" structure. A polyhedral representation showing the large pentagonal and hexagonal tunnels, respectively. From Reference 55.

Figure 33 The polyhedral representation of the tripled perov-skite-type structure as compared to the K2NiF4 structure.

Figure 2. Polyhedral representation of the Mon i4-type cluster (=[ Mo2 Mog Moi ]i4 -) with one Mog group more pale at the bottom ( Moi units hatched M02 groups dark gray).

Figure 3. Polyhedral representation of the ball-shaped cluster anion of compound A highlighting the binuclear spacer units (see Fig. 1 highlighting the pentagons).

In the following section we will consider the polyhedral representation of these three cases in further detail. Our strategy will be to start from the high-symmetry case rA = rB where the polyhedral solution is known. The other cases are derived from there. 

In this paper, we have introduced the polyhedral representation of reaction surfaces for chemical interconversion processes, and applied it to the interconversion of JT distortions of icosahedral molecules. In this case, the minimal hypersurface is 5D. Two types of distortions are investigated pentagonal and trigonal. Interconversions between pentagonal distortions can simply be represented by a triangulation of the projective plane. This is the prototype of a JT surface in a... 

Van der Waals surface area using polyhedral representation... 

Figure 2.7 Representation on the (H20),Kfc[H,2Ww,0,20] 11 cluster with the central potassium ion shown behind the central polyhedra. The framework of 18-C-6 is superimposed onto the central 06 moiety to scale and the six W-groups which each donate oxygen ligands to coordinate to the potassium ion are shown in polyhedral representation.

Figure 2.8 Polyhedral representations of the structures of the Mo132 (left) and Mo72Fe30 (right) clusters to scale. The icosidodecahedron which is formed by connecting the 30 Fe centers is shown.

Figure 2. (a) ORTEP diagram (at 50% probability) of II showing the atom-labeling scheme, (b) Polyhedral representation of Z.I1 S 0,N. nnit and the one-dimensional chain, (c) Packing diagram, viewed along —6-axis of II. 

Figure 7.7. A single layer of tin(II) phosphate (a) ball-stick model, (b) polyhedral representation. Note that the lone-pair electrons are needed to complete the tetrahedra for Sn(II) (Vaidhyanathan and Natarajan [26]).

Figure 9 A polyhedral representation of the structure of [ Cu(phen)(H20)2 Cu(phen)2 (M05O15XO3PCH2CH2CH2PO3)] 2.5H20(5 2.5H20).

Fig. 3. Polyhedral representation of cloverite (a), ULM-18 (b), LTA (c) and Mu-2 (d) structures based on F -centered D4R units. Fluorine atoms are black spheres.

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