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Ionicity of the Chemical Bond in Crystals

J. C. PHILLIPS

J. C. PHILLIPS

  • Bell Telephone Laboratories, Incorporated Murray Hill, New Jersey 07974

Rev. Mod. Phys. 42, 317 – Published 1 July, 1970

DOI: https://doi.org/10.1103/RevModPhys.42.317

Abstract

The nature of the chemical bond in crystals is discussed. The general theories of L. Pauling based on thermochemical data and of C. A. Coulson based on valence bond concepts are compared with a recent spectroscopic theory. Particular emphasis is placed on binary crystals of formula ANB8N which includes most tetrahedrally coordinated semiconductors as well as crystals of the rocksalt (NaCl) family. A wide range of physical properties is discussed, including crystal structure, energy bands, elastic constants, ionization energies, and impurity states. The role of quantum-mechanical sum rules and spectral moments in constructing simplified models of bond and band behavior is explored. Stress is laid throughout on methods for incorporating quantum-mechanical effects into properties of chemical bonds through algebraic relations rather than through variational solutions of the wave equation.

References (83)

  1. Allred, A. L., 1961, J. Inorg. Nucl. Chem. 17, 215
  2. Animalu, A. O. E., and V. Heine, 1965, Phil. Mag. 12, 1249
  3. Bardasis, A., and D. Hone, 1967, Phys. Rev. 153, 849
  4. Bell, R. P., and D. A. Long, 1950, Proc. Roy. Soc. A203, 364
  5. Born, M., and W. Heisenberg, 1924, Z. Physik. 23, 388
  6. Braunstein, R., and E. O. Kane, 1962, J. Phys. Chem. Solids 23, 1423
  7. Burstein, E. et al., 1967, J. Quantum Chem. 15, 759
  8. Callen, H. B., 1949, Phys. Rev. 76, 1394
  9. Clausius, R., 1879, Die Mechanische Warmetheorie (Vieweg Braunschweig, Germany), Vol. 2, p. 94
  10. Cochran, W., and R. A. Cowley, 1962, J. Phys. Chem. Solids 23, 447
  11. Cohen, M. L. and T. K. Bergstresser, 1966, Phys. Rev. 141, 789
  12. Cohen, M. L.T. K. Bergstresser, and V. Heine, 1970, Solid State Phys. (to be published)
  13. Coulson, C. A., L. B. Redei, and D. Stocker, 1962, Proc. Roy. Soc. (London) 270, 352
  14. Di Domenico, M., Jr., and S. H. Wemple, 1969, J. Appl. Phys. 40, 720
  15. Dresselhaus, G. and M. S. Dresselhaus, 1967, Phys. Rev. 160, 649
  16. Ehrenreich, H. and M. H. Cohen, 1959, Phys. Rev. 115, 786
  17. Elliott, R. J., 1957, Phys. Rev. 108, 1384
  18. Fajans, K., and G. Joos, 1924, Z. Physik. 23, 1
  19. Faulkner, R. A., 1969, Phys. Rev. 184, 713
  20. Heine, V., 1967, Phys. Rev. 153, 673
  21. Heine, V., and R. O. Jones, 1969, J. Phys. C 2, 719
  22. Hensel, J. C., and K. Suzuki, 1969, Phys. Rev. Letters 22, 838
  23. Herman, F. and S. Skillman, 1963, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, N J.)
  24. Hopfield, J. J. (private communication)
  25. Jacobs, R. L., 1968, J. Phys. C 1, 492
  26. Jones, D., and A. H. Lettington, 1969, Solid State Commun. 7, 1319
  27. Keating, P. N., 1966, Phys. Rev. 145, 637
  28. Kohn, W., 1957, Solid State Phys. 5, 257
  29. Kohn, W., and J. M. Luttinger, 1955, Phys. Rev. 97, 883
  30. Kohn, W.J. M. Luttinger, and N. Rostoker, 1954, Phys. Rev. 94, 1111
  31. Korringa, J., 1947, Physica 13, 392
  32. Landau, L. D., and E. M. Lifshitz, 1960, Electrodynamics of Continuous Media (Pergamon Press, New York), p. 259
  33. Liu, L. 1962, Phys. Rev. 126, 1317
  34. Martin, R. M., 1970, Phys. Rev. (to be published)
  35. Moffitt, W. E., 1949, Proc. Roy. Soc. (London) A196, 510
  36. Moffitt, W. E., 1950, Proc. Roy. Soc. (London) 202, 548
  37. Mooser, E. and W. B. Pearson, 1959, Acta Cryst. 12, 1015
  38. Mosotti, O. F., 1850, Mem. Soc. Ital. Sci. (Modena) 14, 49
  39. Mott, N. F. and H. Jones, 1958, Theory of the Properties of Metals and Alloys (Dover, New York)
  40. Mullikan, R. S., 1949, J. Chim. Phys. 46, 497
  41. Nozieres, P., and D. Pines, 1959, Phys. Rev. 113, 1254
  42. Pauling, L., 1927, Proc. Roy. Soc. (London) A114, 191
  43. Pauling, L., 1960, The Nature of the Chemical Bond (Cornell U. P., Ithaca, N.Y.)
  44. Pearson, W. B., 1962, J. Phys. Chem. Solids 23, 103
  45. Penn, D. R., 1962, Phys. Rev. 128, 2093
  46. Philipp, H. R., and H. Ehrenreich, 1963, Phys. Rev. 129, 1550
  47. Phillips, J. C., 1958, Phys. Rev. 112, 685
  48. Phillips, J. C., 1966, Solid State Phys. 18, 56
  49. Phillips, J. C., 1968, Phys. Rev. 166, 832
  50. Phillips, J. C., 1968a, J. Chem. Phys. 48, 5740
  51. Phillips, J. C., 1968b, Phys. Rev. Letters 20, 550
  52. Phillips, J. C., 1969, Chem. Phys. Letters 3, 286
  53. Phillips, J. C., 1969a, Phys. Rev. Letters 22, 285
  54. Phillips, J. C., 1969b, Phys. Rev. Letters 22, 645
  55. Phillips, J. C., 1969c, Phys. Rev. Letters 23, 482
  56. Phillips, J. C., 1970, Covalent Bonding in Crystals, Molecules, and Polymers (University of Chicago Press, Chicago)
  57. Phillips, J. C., 1970a, Phys. Rev. (to be published)
  58. Phillips, J. C., 1970b, Phys. Today 23, 23
  59. Phillips, J. C., 1970c, Phys. Rev. Letters 24, 1114
  60. Phillips, J. C., and L. Liu, 1962, Phys. Rev. Letters 8, 94
  61. Phillips, J. C.L. Liu, and R. Sandrock, 1968, Phys. Rev. 174, 663
  62. Phillips, J. C.L. LiuR. Sandrock, and J. A. Van Vechten, 1969, Phys. Rev. 183, 709
  63. Phillips, J. C.L. LiuR. SandrockJ. A. Van Vechten, and J. A. Van Vechten, 1969a, Phys. Rev. Letters 23, 1115
  64. Phillips, J. C.L. LiuR. SandrockJ. A. Van VechtenJ. A. Van Vechten, and J. A. Van Vechten, 1970, Phys. Rev. (to be published)
  65. Pritchard, H. O., and H. A. Skinner, 1955, Chem. Rev. 55, 745
  66. Roberts, S., 1949, Phys. Rev. 76, 1215
  67. Robinson, F. N. H., 1968, Phys. Letters 26A, 435
  68. Robinson, F. N. H.Rudman, P. S., J. Stringer, and R. I. Jaffee, Eds., 1967, Phase Stability in Metals and Alloys (McGraw-Hill, New York)
  69. Schactschneider, J. H., and R. G. Snyder, 1963, Spectrochim. Acta 19, 117
  70. Slater, J. C., 1937, Phys. Rev. 51, 846
  71. Slater, J. C., 1953, Phys. Rev. 92, 603
  72. Slater, J. C., and G. F. Koster, 1954, Phys. Rev. 94, 1498
  73. Streitwieser, A. W., Jr., 1961, Molecular Orbital Theory (Wiley, New York)
  74. Stukel, D. J., et al., 1969, Phys. Rev. 179, 740
  75. Tessman, J. R., A. H. Kahn, and W. Shockley, 1953, Phys. Rev. 92, 890
  76. Thomas, D. G., and J. J. Hopfield, 1966, Phys. Rev. 150, 680
  77. Tosi, M. P., 1965, Sol. State Phys. 16, 68
  78. Van Vechten, J. A., 1969, Phys. Rev. 182, 891
  79. Van Vechten, J. A., 1969a, Phys. Rev. 187, 1007
  80. Van Vechten, J. A., and T. K. Bergstresser, 1970, Phys. Rev. (to be published)
  81. Walter, J. P., and M. L. Cohen, 1969, Phys. Rev. 183, 763
  82. Wemple, S. H., and M. DiDomenico, Jr., 1969, Phys. Rev. Letters, 23, 1156
  83. Ziman, J. M., 1965, Proc. Phys. Soc. (London) 86, 337

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