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1.2.3.2. Nonlinear Optics. The requirement for NLO response in any material is an asymmetric (strictly, anharmonic) response of the electronic system. Pseudo-stilbenes, which have push pull substituents, have a strongly asymmetric electron distribution, which makes them ideal NLO molecules (see, for instance, Fig. 1.10). For a bulk NLO response, one requires an overall noncentrosymmetric material. This requirement is achieved in many inorganic crystals. In organic systems, the broken symmetry is typically obtained by applying an electric eld at a temperature suf cient to allow for the molecular dipoles to align with the eld. This process is called electric eld poling and is accomplished using interdigitated or at electrodes or a sharp charged needle (or grid) held above a grounded sample (called corona poling). The NLO response is typically quanti ed using secondharmonic generation (SHG; the emission of light at double the frequency of the incident beam), the electrooptic effect (change of refractive index on application of an electric eld), or wave-mixing experiments (where various frequencies of light can be synthesized or enhanced). These also constitute the main applications of NLO materials: they can be used to synthesize new frequencies of light, to electrically switch a beam, or to allow two beams of light to interact and couple (which can form the basis of an all-optical switch) (Eaton, 1991).

where ny a> j3, . . . are constants (where a < 0, 0 < n < 1). These relationships have been verified experimentally. The term ax" describes the effect of long-range interactions in electrolyte solutions (i.e. ion-ion interactions in contrast to short-range dipole-dipole and ion-dipole interactions; see Section 1.2.3). At medium concentrations, the value of this term is comparable with that of the term fixly and at low concentrations up to 10~3 mol dm" 3 the term ax" predominates. The aim of the theory of electrolytes is to provide a theoretical interpretation of the coefficients in Eq. (1.3.4). At low concentrations, the Debye-Hiickel theory is valid; this theory neglects all types of interaction except for electrostatic, being satisfied with calculation of the term ax". The Debye-Hiickel theory forms the basis and is still the valid nucleus of all the other theories of strong electrolytes, which are more or less elaborations or modifications of the original concepts. 1.3.1 The Debye-Hiickel limiting law

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the core of micelle can be a signi cant disruption of the polymer micelles. Another related issue that needs to be investigated is that the release of encapsulated guest molecules does not require a complete dissociation of BCP micelles; it may occur upon a disruption to various extents. For example, our recent studies found that swelling of BCP micelles in aqueous solution, as a result of an increased hydrophilicity of the core, is enough to start the release of loaded hydrophobic guest molecules. But most importantly, the photoisomerization of azobenzene and its derivatives is really an exceptional photoreaction (robust, clean, and reversible) whose marriage with BCPs provides a wonderful model system for developing light-controllable polymer nanocarriers. The design principles established through the studies of azobenzene-containing BCPs can be adapted to other bistable photoswitches displaying reversible photoisomerization and to other chromophores undergoing an appropriate photoreaction as well. Since the rst study on azobenzene BCPs that has revealed the key role of a photoswitchable or phototunable hydrophilic hydrophobic balance, various light-dissociable BCPs micelles using other chromophores have been reported (Lee et al., 2007; Jiang et al., 2007; Zhao, 2007b; Jiang et al., 2006, 2005).

In infinitely dilute solutions (in the standard state) ions do not interact, their electric field corresponds to that of point charges located at very large distances and the solution behaves ideally. As the solution becomes more concentrated, the ions approach one another, whence their fields become deformed. This process is connected with electrical work depending on the interactions of the ions. Differentiation of this quantity with respect to nt permits calculation of the activity coefficient; this differentiation is identical with the differentiation 5GE/<9n/ and thus with the term RT In y,.

The work connected with the mutual approach of the ions and deformation of their electric fields cannot be calculated directly However, because this work depends on a change in the thermodynamic functions of state, its value depends only on the initial and final states, and the processes can be separated into several steps According to P Debye and E Hiickel this separation is carried out so that the actual concentration change, ie the actual approach of the ions, occurs with uncharged species The ions are supposed to be discharged in the standard state, ie they behave at the concentration 1 mol dm" 3 as if they were at infinite dilution Work wl connected with this process can be readily calculated, as discharging of isolated ions is considered The ion concentration is then changed from the standard state to concentration c.