Open and Toroidal Electrophoresis. Tarso B. Ledur Kist

These can be seen as heterolytic substitution reactions; note that both H₂O and OH⁻ work as Brønsted bases in this case. For the ionization of amines (e.g., the secondary amine N-methylmethanamine) there are also at least two possible reactions that can occur:

      (1.6)

      (1.7)

      Here, both H₂O and the H₃O⁺ cation function as Brønsted acids. For a detailed discussion of dissociation and ionization in water see Soustelle (2016).[4]

Finally, it is important to remember that a small fraction of the self-ionization reactions of water produce H₅O₂⁺ and an even smaller fraction produce H₇O₃⁺, as well as other ions.

      A great deal of knowledge is continuously generated about the internal structure and dynamics of liquid water. Topics such as self-ionization of water, the ions produced, the average life-time of these ions, solvation, and water clusters are difficult to treat because they can not be treated as events in a continuous, homogeneous fluid. They should be treated within the many-body problem theories; however, the number of entities in the case of water must be great to be realistic because the water molecules are very sticky with each other due to hydrogen bonding. So one can always remember a saying that remains true: “Of all known liquids, water is probably the most studied and the least understood”.[5]

      1.1.7 Hydrophilicity, Hydrophobicity, and LogP

      Hydrophilicity and hydrophobicity are qualitative terms that refer to chemical substances that, respectively, dissolve in water (strong affinity for water) or in non-polar substances (weak affinity for water). Solvation and the formation of hydrogen bonds are important processes involved in the dissolution of hydrophilic solutes in water (an environment rich in hydrogen bonds). On the other hand, no solvation or hydrogen bond formation occurs when attempting to dissolve hydrophobic (non-polar) substances in water. The dissolution of non-polar substances in non-polar solvents occurs because the positive entrophy change of the system (solventsolute) and the action of van der Waals forces among the hydrophobic solutes and the non-polar solvents. Note that van der Waals forces are much weaker than hydrogen bonds.

      Microdrops of hydrophobic substances (e.g., vegetable oil) that are dispersed in water tend to irreversibly join (fuse) when random Brownian motion causes them to collide with each other. Each fusion event causes a sudden increase in the total number of hydrogen bonds in the given volume of water. Macrodrops are formed and at the end expelled from the bulk of the water, which again suddenly increases the total number of hydrogen bonds among water molecules. Note that the inverse reaction (converting a macrodrop of oil into microdroplets) is only possible with the input of a significant amount of energy (usually from vigorous mechanical stirring), as a large quantity of hydrogen bonds must be broken. Thus, it would be fairer to call water oleophobic instead of calling non-polar substances hydrophobic.

      LogP (or CLOGP) is a well defined quantitative parameter that is related to the hydrophilicity and hydrophobicity of a chemical substance. It is a real number that goes from minus infinity to plus infinity () and is considered a fundamental parameter in ESTs and in many other fields (e.g., organic chemistry and pharmaceutical sciences).

Table 1.2 Examples of some LogP values. These are the average values of the

most representative items of each data set. Measurements were taken at room temperature using pure water. The only exception was L-nicotine, which was measured at pH 10.3.

      (Source: Data from DDBST GmbH, Oldenburg, Germany, www.ddbst.com.).

Analyte	LogP
Acetaldehyde	0.43	1
Acrylamide		3
Aniline	0.975	16
Benzo[a]pyrene	6.898	11
Caffeine		4
Dimethylnitrosamine		2
L-nicotine	1.39	1

      The LogP of a chemical substance is defined as the decadic logarithm of its 1-octanol/water partition coefficient. The substance is dissolved in water or 1-octanol and then equal volumes of these solvents (one of which contains the substance under analysis) are placed in contact with each other and left to reach equilibrium. When equilibrium is reached the value of is calculated using the following equations:

      (1.8)

Table 1.2 gives the LogP values of a few chemical substances. Such values are already used in structure–property correlations and quantitative studies of structure–activity relationships. As more LogP values become available, they will be used in pharmaceutical sciences, pharmanalysis, biochemistry, and analytical chemistry more frequently.

      1.1.8 Gibbs Free Energy Change

The solubility (due to dissolution and/or dissociation and/or ionization) of a specific quantity of solute in a certain volume of a given solvent at temperature can be predicted by calculating the Gibbs free energy change: . The temperature and changes of enthalpy () and entropy () all affect the solubility of a solute. The Gibbs free energy change mathematically expresses the role of each of these three thermodynamic variables within reactions (including dissolution). Regardless of the type of reaction (a dissolution, a dissolution with dissociation or a dissolution with ionization), all chemical reactions follow the rule: if for a given amount of solute and solvent then the reaction occurs (the solute is soluble), although the velocity may be