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Ch.12 - Solids and Modern Materials
Chapter 12, Problem 65

The coordination number for Mg2+ ion is usually six. Assuming this holds, determine the anion coordination number in the following compounds: (a) MgS, (b) MgF2, (c) MgO.

Verified step by step guidance
1
Step 1: Understand the concept of coordination number, which is the number of ions of opposite charge that surround an ion in a crystal lattice.
Step 2: Recognize that the coordination number of Mg2+ is given as six, meaning each Mg2+ ion is surrounded by six anions.
Step 3: For each compound, determine the stoichiometry and the ratio of cations to anions. For example, in MgS, the ratio is 1:1, in MgF2, it is 1:2, and in MgO, it is 1:1.
Step 4: Use the stoichiometry to infer the coordination number of the anions. For instance, in MgF2, each F- must coordinate with three Mg2+ ions to maintain the overall coordination number of six for Mg2+.
Step 5: Apply the same logic to MgS and MgO, considering the stoichiometry and the coordination number of Mg2+ to determine the coordination number of the anions in these compounds.
Related Practice
Textbook Question

A particular form of cinnabar (HgS) adopts the zinc blende structure. The length of the unit cell edge is 5.852 Å. (c) Which of the two substances has the higher density? How do you account for the difference in densities?

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Open Question
At room temperature and pressure, RbI crystallizes with the NaCl-type structure. (a) Use ionic radii to predict the length of the cubic unit cell edge. (b) Use this value to estimate the density. (c) At high pressure, the structure transforms to one with a CsCl-type structure. Use ionic radii to predict the length of the cubic unit cell edge for the high-pressure form of RbI. (d) Use this value to estimate the density. How does this density compare with the density you calculated in part (b)?
Textbook Question

CuI, CsI, and NaI each adopt a different type of structure. The three different structures are those shown in Figure 12.26. (a) Use ionic radii, Cs+ 1r = 1.81 A 2, Na+ 1r = 1.16 A 2, Cu+ 1r = 0.74 A 2, and, I- 1r = 2.06 A 2, to predict which compound will crystallize with which structure.

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Textbook Question

The coordination number for the Al3+ ion is typically between four and six. Use the anion coordination number to determine the Al3 + coordination number in the following compounds: (a) AlF3 where the fluoride ions are two coordinate.

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Textbook Question

The coordination number for the Al3+ ion is typically between four and six. Use the anion coordination number to determine the Al3 + coordination number in the following compounds: (b) Al2O3 where the oxygen ions are six coordinate.

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Textbook Question

The coordination number for the Al3+ ion is typically between four and six. Use the anion coordination number to determine the Al3 + coordination number in the following compounds: (c) AlN where the nitride ions are four coordinate.

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