Halide polarizability

The same first-order replacements are seen when M is Mo or W, somewhat slower than in the case of Cr, but still much faster than for the hexacarbonyls. The rate increases with the pK of the inert ligand (N-N) and Fig. 9 shows the linear free-energy relation between log ki and pK . The relative orders would not have been expected on the basis of any 7t-bonding effects since increasing back-donation to CO would increase the M-C bond order. This increase in M-C bond order is supported by a decrease in Vco with increasing o-phenanthroline basicity. The same consideration applies for the pentacarbonyl halide anions where the first-order rates decrease (Cl > Br > I), unexpectedly as the halide polarizability increases. 

The remainder of this section will be devoted largely to a summary of recent results from our group on the polarizabilities of LIF and (L1F)2- These represent, respectively, the first calculation of an alkali halide polarizability In which electron correlation effects have been included and the first calculation of a polarizability of an alkali halide dimer. The section concludes with a summary of recent theoretical results for the Ionization potentials for (LlF)jj, n 1-4. 

The induction energy is inlierently non-additive. In fact, the non-additivity is displayed elegantly in a distributed polarizability approach [28]. Non-additive induction energies have been found to stabilize what appear to be highly improbable crystal structures of the alkalme earth halides [57]. 

In fee absence of fee solvation typical of protic solvents, fee relative nucleophilicity of anions changes. Hard nucleophiles increase in reactivity more than do soft nucleophiles. As a result, fee relative reactivity order changes. In methanol, for example, fee relative reactivity order is N3 > 1 > CN > Br > CP, whereas in DMSO fee order becomes CN > N3 > CP > Br > P. In mefeanol, fee reactivity order is dominated by solvent effects, and fee more weakly solvated N3 and P ions are fee most reactive nucleophiles. The iodide ion is large and very polarizable. The anionic charge on fee azide ion is dispersed by delocalization. When fee effect of solvation is diminished in DMSO, other factors become more important. These include fee strength of fee bond being formed, which would account for fee reversed order of fee halides in fee two series. There is also evidence fiiat S( 2 transition states are better solvated in protic dipolar solvents than in protic solvents. 

A detailed discussion of individual halides is given under the chemistry of each particular element. This section deals with more general aspects of the halides as a class of compound and will consider, in turn, general preparative routes, structure and bonding. For reasons outlined on p. 805, fluorides tend to differ from the other halides either in their method of synthesis, their structure or their bond-type. For example, the fluoride ion is the smallest and least polarizable of all anions and fluorides frequently adopt 3D ionic structures typical of oxides. By contrast, chlorides, bromides and iodides are larger and more polarizable and frequently adopt mutually similar layer-lattices or chain structures (cf. sulfides). Numerous examples of this dichotomy can be found in other chapters and in several general references.Because of this it is convenient to discuss fluorides as a group first, and then the other halides. 

A problem with studies on inert gas is that the interactions are so weak. Alkali halides are important commercial compounds because of their role in extractive metallurgy. A deal of effort has gone into corresponding calculations on alkali halides such as LiCl, with a view to understanding the structure and properties of ionic melts. Experience suggests that calculations at the Hartree-Fock level of theory are adequate, provided that a reasonable basis set is chosen. Figure 17.7 shows the variation of the anisotropy and incremental mean pair polarizability as a function of distance. 

Because the fluoride ion is so small, the lattice enthalpies of its ionic compounds tend to be high (see Table 6.6). As a result, fluorides are less soluble than other halides. This difference in solubility is one of the reasons why the oceans are salty with chlorides rather than fluorides, even though fluorine is more abundant than chlorine in the Earth s crust. Chlorides are more readily dissolved and washed out to sea. There are some exceptions to this trend in solubilities, including AgF, which is soluble the other silver halides are insoluble. The exception arises because the covalent character of the silver halides increases from AgCl to Agl as the anion becomes larger and more polarizable. Silver fluoride, which contains the small and almost unpolarizable fluoride ion, is freely soluble in water because it is predominantly ionic. 

The solubilities of the ionic halides are determined by a variety of factors, especially the lattice enthalpy and enthalpy of hydration. There is a delicate balance between the two factors, with the lattice enthalpy usually being the determining one. Lattice enthalpies decrease from chloride to iodide, so water molecules can more readily separate the ions in the latter. Less ionic halides, such as the silver halides, generally have a much lower solubility, and the trend in solubility is the reverse of the more ionic halides. For the less ionic halides, the covalent character of the bond allows the ion pairs to persist in water. The ions are not easily hydrated, making them less soluble. The polarizability of the halide ions and the covalency of their bonding increases down the group. 

The alkali halides cire noted for their propensity to form color-centers. It has been found that the peak of the band changes as the size of the cation in the alkali halides increases. There appears to be an inverse relation between the size of the cation (actually, the polarizability of the cation) and the peak energy of the absorption band. These are the two types of electronic defects that are found in ciystcds, namely positive "holes" and negative "electrons", and their presence in the structure is related to the fact that the lattice tends to become charge-compensated, depending upon the type of defect present. 

Lamoureux G, Roux B (2006) Absolute hydration free energy scale for alkali and halide ions established from simulations with a polarizable force field. J Phys Chem B 110(7) 3308-3322... 

Figure 3.9 C44 elastic moduli vs. reciprocal polarizabilities for prototype alkali halide crystals.

In dielectric materials (oxides, semiconductors, halides, polymers, and he like), polarizability correlates with hardness. For metals, this is not the case. However, the frequencies of the collective polarizations known as plasmons are related to mechanical hardness. 

Figure 9.1 Shows the linear correlation between hardness and reciprocal polarizability for 11 alkali halides. The polarizability data are from Ruffa (1963), and the hardness data from Sirdeshmukh et al. (1995).

It is also worth noting that Equation 9.1 indicates a connection between C44, hardness, and e. The dielectric constant, e depends on the polarizability, a of each alkali halide through the Clausius-Mossotti equation ... 

A. R. Ruffa, Theory of the Electronic Polarizabilities of Ions in Crystals Application to the Alkali Halide Crystals, Phys. Rev., 130,1412 (1963). 

Based on the ionic radii, nine of the alkali halides should not have the sodium chloride structure. However, only three, CsCl, CsBr, and Csl, do not have the sodium chloride structure. This means that the hard sphere approach to ionic arrangement is inadequate. It should be mentioned that it does predict the correct arrangement of ions in the majority of cases. It is a guide, not an infallible rule. One of the factors that is not included is related to the fact that the electron clouds of ions have some ability to be deformed. This electronic polarizability leads to additional forces of the types that were discussed in the previous chapter. Distorting the electron cloud of an anion leads to part of its electron density being drawn toward the cations surrounding it. In essence, there is some sharing of electron density as a result. Thus the bond has become partially covalent. 

Mayer I G. (1933). Dispersion and polarizability and the Van Der Waals potential in the alkali halides. J. Chem. Phys., 1 270-279. 

Cadmium(II) and zinc(II) systems other than cyanides Among the i acceptors of the zinc group, the softness rapidly decreases from the markedly soft Hg2+ to the mildly soft Cd2+ and to the distinctly hard Zn2+. As mentioned above, only very soft ligands such as CN are coordinated to Cd2+ or Zn + by bonds which are essentially covalent. Nevertheless, covalent bonding is still important for the formation of the Cd2+ halide complexes. This is evident from the fact that the values of AHn become more exothermic as the halide becomes larger and consequently more polarizable and susceptible to covalent bonding. This trend results in the (6) or soft sequence for the halide systems of... 

---