Tips for
the Teacher

2. Use the results of your calculations from Problem 1b above and Pauling's values for interionic distances in Figure 4 to compare calculated values of ionic radii of alkali and halide ions to the actual values of interionic distances between centers of alkali metal and halide ions measured from X-ray crystallography data. [Calculated values are generally lower than Pauling values.]

Figure 4. Calculated interionic distances between center of halide and alkali metal ions (pm).

3. Consider the forces of attraction between alkali metal ions and halide ions in terms of their size and charge (Figure 2). Which pair of ions would form an ionic crystal with the greatest crystal lattice energy? Least crystal lattice energy? [Lithium fluoride, with the two smallest ions, would have the greatest crystal lattice energy because they will be held together most tightly. Cesium iodide, with the largest ion sizes, should have the least crystal lattice energy. See Figure 5.]

Figure 5. Crystal lattice energies for alkali halides (kJ/mol).

4. Using Figures 4 and 5 and Coulomb's Law, explain whether trends in crystal lattice energies in Figure 5 appear consistent with the interionic distances in Figure 4. [The force of attraction between ions increases with increasing charge on the ions and with decreasing size of ions. Since all alkali metal ion pairings with halide ions are identical with respect to charge, size is the determining factor. Therefore the combination involving smallest ion sizes (Li +and F ­) should have the greatest attraction and hence the greatest crystal lattice energy (1034 kJ/mol). On this basis Cs+ and I­, the largest ions, should have the smallest lattice energy (585 kJ/mol). Trends in crystal lattice energy seem consistent with interionic distances in general; e.g., ion combinations with similar interionic distances have similar crystal lattice energies. (For examples, see RbF and LiBr, 282 and 275 pm interionic distances and 780 and 781 kJ/mol lattice energies.)]

5. The Table of Properties of Alkali Metals in the Appendix summarizes an extensive set of properties for the alkali metal elements. A useful procedure is to take the properties one by one and ask students to predict the trend in each property going down the group. Additionally, one can query students as to the relative values for a given property as they relate to properties already covered. The overall objective is to underscore patterns of behavior for the properties of a family of elements.

A possible sequence of discussion questions follows. While displaying on the overhead projector the data needed for each question, you can uncover the table of properties sequentially.

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