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

Key Concepts
Ionic Radii
Cubic Unit Cell and Density Calculation

Crystal Structure Transformation
A particular form of cinnabar (HgS) adopts the zinc blende structure. The length of the unit cell edge is 5.852 Γ . (b) The mineral tiemannite (HgSe) also forms a solid phase with the zinc blende structure. The length of the unit cell edge in this mineral is 6.085 Γ . What accounts for the larger unit cell length in tiemmanite?
CuI, CsI, and NaI each adopt a different type of structure. The three different structures to consider are those shown in Figure 12.25 for CsCl, NaCl, and ZnS. a. Use ionic radii, Cs+(π=1.81 β«), Na+(π=1.16 β«), Cu+(π=0.74 β«), and, Iβ(π=2.06 β«), to predict which compound will crystallize with which structure.
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.