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Ch.12 - Solids and Modern Material
Chapter 12, Problem 49

Is the structure of each of the two unit cells shown in Problem 47 identifiable as the rock salt structure, zinc blende structure, fluorite structure, antifluorite structure, or is it none of these?

Verified step by step guidance
1
<insert step 1> Identify the characteristics of each structure: Rock salt (NaCl) has a face-centered cubic (FCC) lattice with each ion type occupying octahedral sites. Zinc blende (ZnS) has a cubic close-packed (CCP) lattice with one ion type occupying tetrahedral sites. Fluorite (CaF2) has a cubic structure where the cations form a simple cubic lattice and the anions occupy all the tetrahedral sites. Antifluorite is the inverse of fluorite, where anions form a simple cubic lattice and cations occupy all the tetrahedral sites.>
<insert step 2> Examine the coordination number and the arrangement of ions in the given unit cells.>
<insert step 3> Compare the observed coordination numbers and lattice types with those of the known structures.>
<insert step 4> Determine if the unit cell matches any of the known structures based on the coordination and lattice type.>
<insert step 5> Conclude whether each unit cell corresponds to rock salt, zinc blende, fluorite, antifluorite, or none of these based on the analysis.>