Phase zigzag

The entropy value of gaseous HCl is a sum of contributions from the various transitions summarized in Table 4. Independent calculations based on the spectroscopic data of H Cl and H Cl separately, show the entropy of HCl at 298 K to be 186.686 and 187.372 J/(mol K) (44.619 and 44.783 cal/(mol K), respectively. The low temperature (rhombic) phase is ferroelectric (6). SoHd hydrogen chloride consists of hydrogen-bonded molecular crystals consisting of zigzag chains having an angle of 93.5° (6). Proton nmr studies at low temperatures have also shown the existence of a dimer (HC1)2 (7). 

Zirconium tetrachloride is a tetrahedral monomer in the gas phase, but the soHd is a polymer of ZrCl octahedra arranged in zigzag chains in such a way that each zirconium has two pairs of bridging chlorine anions and two terminal or t-chlorine anions. The octahedra are distorted with unequal Zr—Cl bridge bonds of 0.2498 and 0.2655 nm. The physical properties of zirconium tetrachloride are given in Table 7. 

Regime II Defect Diff ision the zigzag pattern is modulated quasi-periodically in time. The chaos in the domain boiindary is still localized but it can now move about in space. For r 0.1, the phase change Regime I —> Regime II occurs at about a 3.82. 

The exponent /3 decreases from 1.6 to 1.0 as the system size increases from N = 2 to N = 100. Kaneko suggests that this may result from an effective increase in the number cf possible pathways for the zigzag collapse, and thus that the change of 0 with size may be regarded as a path from the dynamical systems theory to statistical mechanical phase transition problems [kaneko89a]. 

Thus the formation of tilted analogues of the smectic A phases, i.e. monolayer Cl and bilayer C2, is possible for mesogens with relatively large electric quadrupoles. In the case of strongly sterically asymmetric molecules (e.g., zigzag shaped or dumbell shaped molecules, Fig. 3b) these quadrupolar interactions may be steric in origin. From this point of view observation of molecular tilt in the molecular dynamics simulations for a one-layer film of DOBAMBC in the absence of electrostatic interactions is not so surprising [106]. 

The structure of MnP is a distorted variant of the NiAs type the metal atoms also have close contacts with each other in zigzag lines parallel to the a-b plane, which amounts to a total of four close metal atoms (Fig. 17.5). Simultaneously, the P atoms have moved up to a zigzag line this can be interpreted as a (P-) chain in the same manner as in Zintl phases. In NiP the distortion is different, allowing for the presence of P2 pairs (P ). These distortions are to be taken as Peierls distortions. Calculations of the electronic band structures can be summarized in short 9-10 valence electrons per metal atom favor the NiAs structure, 11-14 the MnP structure, and more than 14 the NiP structure (phosphorus contributes 5 valence electrons per metal atom) this is valid for phosphides. Arsenides and especially antimonides prefer the NiAs structure also for the larger electron counts. 

Figure 8.5 gives the structure of the molecular subject of this classic study, decyloxybenzylideneaminomethylbutylcinnamate (DOBAMBC, 2). DOBAMBC possesses the archetypal FLC molecular structural features A rigid core with two flexible tails, one of which possesses a stereogenic center. A classic theoretical treatment of the SmC phase from 1978 by Durand et al. suggested that a zigzag conformation of the LC molecules is important.9... 

Figure 8.5 Structure and phase sequence of DOBAMBC is shown. Terminology used to describe parts of LC mesogen is given, in addition to graphical representation (zigzag structure) of molecule as it exists in tilted smectic phase.

Various types of morphologies and crystalline modifications of s-PS have been reported [44], One of these modifications has an orthorhombic form (space group = P2i2i2i) with a planar zigzag conformation of back-bone chain. This form corresponds to the a-phase found by Kobayashi et al. [35] and to the P-phase named by Guerra et al. [36], The crystal structure of this form was analyzed and the plane of phenyl rings within this form is normal to the chain axis (c-axis) [37-39],... 

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