(a) Using the ionic radii in Table 12.3, compute the theoretical density of CsCl. (Hint: Use a modification of the result of Problem 3.3.)
(b) The measured density is 3.99 g/cm3. How do you explain the slight discrepancy between your calculated value and the measured value?
Table 12.3 Ionic Radii for Several Cations and Anions for a Coordination Number of 6
Cation | Ionic Radius (nm) | Anion | Ionic Radius (nm) |
Al3+ | 0.053 | Br– | 0.196 |
Ba2+ | 0.136 | Cl– | 0.181 |
Ca2+ | 0.100 | F– | 0.133 |
Cs+ | 0.170 | I– | 0.220 |
Fe2+ | 0.077 | O2- | 0.140 |
Fe3+ | 0.069 | S2- | 0.184 |
K+ | 0.138 |
|
|
Mg2+ | 0.072 |
|
|
Mn2+ | 0.067 |
|
|
Na+ | 0.102 |
|
|
Ni2+ | 0.069 |
|
|
Si4+ | 0.040 |
|
|
Ti4+ | 0.061 |
|
|
Problem 3.3
Show for the body-centered cubic crystal structure that the unit cell edge length a and the atomic radius R are related through a = 4R/√3.
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