Charge of the ion

The different flight times are a measure of the mass per charge of the ions. 

Strategy The atomic number gives directly the number of protons. The number of neutrons is found in the usual way by subtracting the atomic number from the mass number. The number of electrons can be deduced from the number of protons by taking into account the charge of the ion. 

The concept of oxidation number is used to simplify the electron bookkeeping in redox reactions. For a monatomic ion (e.g., Na+, S2 ), the oxidation number is, quite simply, the charge of the ion (+1, —2). In a molecule or polyatomic ion, the oxidation number of an element is a pseudo-charge obtained in a rather arbitrary way, assigning bonding electrons to the atom with the greater attraction for electrons. 

The charges of the ions. The bond in CaO (+2, —2 ions) is considerably stronger than that in NaCl (+1,-1 ions). This explains why the melting point of calcium oxide (2927°C) is so much higher than that of sodium chloride (801°C). 

Strategy The formulas can be deduced from the charges of the ions (Sr2+, Ra2+, Cs+ H-, 022, 02 ). If you know the formulas, the equations are readily written. In part (c), note that—... 

The electrical double layer is the array of charged particles and/or oriented dipoles that exists at every material interface. In electrochemistry, such a layer reflects the ionic zones formed in the solution to compensate for the excess of charge on the electrode (qe). A positively charged electrode thus attracts a layer of negative ions (and vice versa). Since the interface must be neutral. qe + qs = 0 (where qs is the charge of the ions in the nearby solution). Accordingly, such a counterlayer is made... 

Figure C.6 shows another pattern in the charges of monatomic cations. For elements in Croups 1 and 2, for instance, the charge of the ion is equal to the group number. Thus, cesium in Group 1 forms Cs+ ions barium in Group 2 forms Ba2+ ions. Figure C.6 also shows that atoms of the d-hlock elements and some of the heavier metals of Groups 13/111 and 14/IV can form cations with different charges. An iron atom, for instance, can lose two electrons to become Fe + or three electrons to become Fe 1. Copper can lose either one electron to form Cu or two electrons to become Cu2+.

By convention, the chemical formulas of many ionic compounds do not explicitly state the charges of the ions. It is not necessary to do so when the species involved form ions with only one possible charge. However, many metals form more than one type of stable cation. For example, copper forms two different oxides, black CuO and red C112 O. The oxide anion has a -2 charge, so for the first compound to be neutral the copper cation must bear a +2 charge. In C112 O, each copper ion must have +1 charge. 

Figure 12-5 illustrates the solvation of Na and Cl" ions as NaCl dissolves in water. A cluster of water molecules surrounds each ion in solution. Notice how the water molecules are oriented so that their dipole moments align with charges of the ions. The partially negative oxygen atoms of water molecules point toward Na cations, whereas the partially positive hydrogen atoms of water molecules point toward Cl" anions. 

We can see from Eig. 7.4, curve la, that this equation describes the experimental data in very dilute solutions of strong electrolytes (i.e., for 1 1 electrolytes approximately up to 10 M) for other electrolytes the concentration limit is even lower. It correctly conveys the functional dependence on the charge of the ions and the ionic strength of the solution (as well as the lack of dependence on individual properties of the ions) it can, moreover, be used to calculate the value of empirical constant h in Eq. (7.27). 

According to the basic ideas concerning ionic atmospheres, the ions contained in them are in random thermal motion, uncoordinated with the displacements of the central ion. But at short distances between the central ion m and an oppositely charged ion j of the ionic atmosphere, electrostatic attraction forces will develop which are so strong that these two ions are no longer independent but start to move together in space like one particle (i.e., the ion pair). The total charge of the ion pair... 

For very dilute solutions, the motion of the ionic atmosphere in the direction of the coordinates can be represented by the movement of a sphere with a radius equal to the Debye length Lu = k 1 (see Eq. 1.3.15) through a medium of viscosity t] under the influence of an electric force ZieExy where Ex is the electric field strength and zf is the charge of the ion that the ionic atmosphere surrounds. Under these conditions, the velocity of the ionic atmosphere can be expressed in terms of the Stokes law (2.6.2) by the equation... 

The diffuse layer is formed, as mentioned above, through the interaction of the electrostatic field produced by the charge of the electrode, or, for specific adsorption, by the charge of the ions in the compact layer. In rigorous formulation of the problem, the theory of the diffuse layer should consider ... 

Let us consider the mass spectrum in Figure 2.21 and some ions, for example those at m/z 1020. As this mass spectrum has been obtained in positive mode, these ions are produced by addition of n protons to the molecule (M) yielding the species [M+ H]"+ / . The ion to the left of this species, i.e. m/z 942, is produced by the molecule which added one proton more, and as a consequence, it has taken an additional charge, yielding the species [M+( +l)H](n+1) /( +l). It is possible to make a system with two equations and two unknowns, i.e. M and n, and obtain the number of charges of the ions ... 

Controlled potential methods have been successfully applied to ion-selective electrodes. The term voltammetric ion-selective electrode (VISE) was suggested by Cammann [60], Senda and coworkers called electrodes placed under constant potential conditions amperometric ion-selective electrodes (AISE) [61, 62], Similarly to controlled current methods potentiostatic techniques help to overcome two major drawbacks of classic potentiometry. First, ISEs have a logarithmic response function, which makes them less sensitive to the small change in activity of the detected analyte. Second, an increased charge of the detected ions leads to the reduction of the response slope and, therefore, to the loss of sensitivity, especially in the case of large polyionic molecules. Due to the underlying response mechanism voltammetric ISEs yield a linear response function that is not as sensitive to the charge of the ion. 

Hydration of the metal ions produces an enthalpy change that is commensurate with the size and charge of the ion with the addition of the number of Dq units shown in the weak field column in Table 17.4. For d°, d5, and d10 there is no additional stabilization of the aqua complex since these cases have no ligand field stabilization. Figure 17.10 shows a graph of the heats of hydration for the first-row + 2 metal ions. 

Another factor that affects trends in the stability constants of complexes formed by a series of metal ions is the crystal field stabilization energy. As was shown in Chapter 17, the aqua complexes for +2 ions of first-row transition metals reflect this effect by giving higher heats of hydration than would be expected on the basis of sizes and charges of the ions. Crystal field stabilization, as discussed in Section 17.4, would also lead to increased stability for complexes containing ligands other than water. It is a pervasive factor in the stability of many types of complexes. Because ligands that form tt bonds... 

With physically meaningful ionic radii at hand, it is a rather simple task to evaluate the electrostatic properties of solvated cations in the frame of Bom formalism. For instance, we may redefine the net charge of the ion given in Eq (2) as follows ... 

Ion pairs are outer-sphere association complexes, which have to be clearly distinguished from the organometallic complexes discussed in Section 6. Ion pair formation appears to be much less important in biological membranes as compared with octanol, because the charge of the ions at the membrane interphase can be balanced by counter charge in the electrolyte in the adjacent aqueous phase. The reactions involved in ion pair formation are depicted in Figures 5b for acids and 5c for bases, and the equilibrium constant K ix is defined as follows ... 

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