Page 32 - Modern physical chemistry

References 21

1.20 Consider the icosahedral arrangement of anions around a cation. Calculate the distance
between the center of the cation and the center ofthe anion in terms of the distance between
two neighboring anion centers. Then calculate the radius ratio at which these ions touch
each other.

References

Books
Ashcroft, N. W., and Mermin, N. D.: 1976, Solid State Physics, Holt, Rinehart, and Winston,
Philadelphia, pp. 63-129.
This text discusses the solid state in considerable detail, both descriptively and analyti-
cally. In the cited chapters, the standard crystal lattices are described and X-ray diffrac-
tion analyzed.
Bums, G.: 1985, Solid State Physics, Academic Press, Orlando, Fl, pp. 1-84.
This is an intermediate level text. Bums begins with a description of crystal group theory.
He then considers simple crystal structures in some detail. In chapter 4, he discusses the
use of X-ray diffraction. Bonding in crystals is considered later in the book.
Hahn, T. (editor): 1985, International Tables for Crystallography, Brief Teaching Edition of
Volume A Space-Group Symmetry, Reidel, Dordrecht, pp. 1-119.
Because of the different bases that may be associated with the lattice points, the crystal
lattices in tables 1.1 and 1.2 yield 230 different arrangements in space. In this text, 24 of
the most commonly occurring examples are described in detail.
Kittel, C.: 1986, Introduction to Solid State Physics, 6th edn, John Wiley & Sons, Inc., New York,
pp. 1-80.
This is a popular introductory text. In chapter 1, Kittel discusses the lattice structures of
crystals. In chapter 2, there is a useful introduction to diffraction by crystals. In chapter
3, the bonding in crystals is treated.
Omar, M. A.: 1975, Elementary Solid State Physics, Addison-Wesley Publishing Co., Reading,
MA, pp. 1-66.
This is another introductory text. In chapter 1, Omar describes both crystal structures
and the bonding in crystals. Chapter 2 is a useful introduction to diffraction by crystals.
Rao, C. N. R., and Gopalakrishnan, J : 1997, New Directions in Solid State Chemistry, 2nd edn,
Cambridge University Press, Cambridge, pp. 1-534.
The authors cover the field of solid state science in a comprehensive yet simple manner.
Many references to the original literature are cited.
Articles

Breneman, G. L.: 1987, "Crystallographic Symmetry Point Group Notation Flow Chart," J. Chem.
Educ. 64, 21&-217.
Dai, H., and Lieber, C. M.: 1993, "Scanning 'funneling Microscopy of Low-Dimensional Materials:
Charge Density Wave Pinning and Melting in Two DimenSions," Annu. Rev. Phys. Chem.
44,237-263.
Francisco, E., Luana, V., Recio, J. M., and Pueyo, L.: 1988, "The Coulombic Lattice Potential of
Ionic Compounds: The Cubic Perovskites," J. Chem. Educ. 65, &-9.
Goldman, A. I., and Kelton, R. F.: 1993, "Quasicrystals and Crystalline Approximants," Rev. Mod.
Phys. 65, 213-230.
Goldman, A. I., and Widom, M.: 1991, "Quasicrystal Structure and Properties," Annul Rev. Phys.
Chem. 42, 685-729.
Hardgrove, G. L.: 1997, "Teaching Space Group Symmetry through Problems," J. Chem. Educ.
74,797-799.