Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. Group Theory with Applications in Chemical Physics
  • Cited by 30
Publisher:
Cambridge University Press
Online publication date:
December 2009
Print publication year:
2005
Online ISBN:
9780511535390
DOI:
https://doi.org/10.1017/CBO9780511535390
Subjects:
Physics and Astronomy, Physical Chemistry, Atomic Physics, Molecular Physics and Chemical Physics, Chemistry
Information

Book description

Group Theory is an indispensable mathematical tool in many branches of chemistry and physics. This book provides a self-contained and rigorous account on the fundamentals and applications of the subject to chemical physics, assuming no prior knowledge of group theory. The first half of the book focuses on elementary topics, such as molecular and crystal symmetry, whilst the latter half is more advanced in nature. Discussions on more complex material such as space groups, projective representations, magnetic crystals and spinor bases, often omitted from introductory texts, are expertly dealt with. With the inclusion of numerous exercises and worked examples, this book will appeal to advanced undergraduates and beginning graduate students studying physical sciences and is an ideal text for use on a two-semester course.

Reviews

“The mathematical development is clear and concise, and examples interspersed throughout clearly illustrate the different principles considered. For practicing chemists or physicists with previous exposure to group theory, this book is indispensable. As a primary resource for special-topics graduate courses, this book would be outstanding.”
Choice

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents
References
References
Allnatt, A. R. and Lidiard, A. B. (1993) Atomic Transport in Solids. Cambridge: Cambridge University Press.
Altmann, S. L. (1977) Induced Representations in Crystals and Molecules. London: Academic Press.
Altmann, S. L.(1979) Double groups and projective representations. I General theory. Mol. Phys. 38, 489–511.
Altmann, S. L.(1986) Rotations, Quaternions and Double Groups. Oxford: Clarendon Press.
Altmann, S. L.(1991) Band Theory of Solids: An Introduction from the Point of View of Symmetry. Oxford: Oxford University Press.
Altmann, S. L. and Herzig, P. (1982) Double groups and projective representations. III Improper groups. Mol. Phys. 45, 585–604.
Altmann, S. L. and Herzig, P.(1994) Point Group Theory Tables. Oxford: Clarendon Press.
Atkins, P. W. (1983) Molecular Quantum Mechanics, 2nd edn. Oxford: Oxford University Press.
Atkins, P. W., Child, M. S., and Phillips, C. S. G. (1970) Tables for Group Theory. Oxford: Oxford University Press.
Ballhausen, C. J. and Moffitt, W. (1956) On the dichroism of certain Co(III) complexes, J. Inorg. Nucl. Chem. 3, 178–81.
Bethe, H. A. (1929) Term splitting in crystals. Ann. Phys. 3, 133–208.
Bethe, H. A.(1964) Intermediate Quantum Mechanics. New York: Benjamin.
Bhagavantam, S. (1966) Crystal Symmetry and Physical Properties. London: Academic Press.
Biedenharn, L. C. and Louck, J. D. (1981) Angular Momentum in Quantum Physics. Theory and Application. Reading, MA: Addison-Wesley.
Bilz, H. and Kress, W. (1979) Phonon Dispersion Relations in Insulators. Berlin: Springer.
Birman, J. L. (1962) Space group selection rules, diamond and zinc blende. Phys. Rev. 127, 1093–106.
Birman, J. L.(1963) Theory of infra-red and Raman processes in crystals: selection rules in diamond and zinc blende. Phys. Rev. 131, 1489–96.
Born, M. and Huang, K. (1954) Dynamical Theory of Crystal Lattices. Oxford: Clarendon Press.
Bouckaert, L. P., Smoluchowski, R. and Wigner, E. (1936) Theory of Brillouin zones and symmetry properties of wave functions in crystals. Phys. Rev. 50, 58–67.
Bradley, C. J. (1966) Space groups and selection rules. J. Math. Phys. 7, 1145–52.
Bradley, C. J. and Cracknell, A. P. (1972) The Mathematical Theory of Symmetry in Solids. Oxford: Oxford University Press.
Bradley, C. J. and Davies, B. L. (1968) Magnetic groups and their co-representations. Rev. Mod. Phys. 40, 359–79.
Burns, G. and Glazer, A. M. (1978) Space Groups for Solid State Scientists. New York: Academic Press.
Callen, H. B. (1960) Thermodynamics. New York: John Wiley and Sons.
Casimir, H. B. G. (1945) On the Onsager principle of microscopic reversibility. Rev. Mod. Phys. 17, 343–50.
Catlow, C. R. A., Diller, K. M., and Norgett, M. J. (1977) Interionic potentials for alkali halides. J. Phys. C 10, 1395–411.
Cochran, W. (1965) In Proceedings of International Conference on Lattice Dynamics, Copenhagen 1963, pp. 75–84. Oxford: Pergamon.
Condon, E. U. and Shortley, G. H. (1967) The Theory of Atomic Spectra. Cambridge: Cambridge University Press.
Cornwell, J. F. (1984) Group Theory in Physics, vols I, II. London: Academic Press.
Cracknell, A. P. (1968) Crystal field theory and the Shubnikov point groups. Adv. Phys. 17, 367–420.
Cracknell, A. P.(1975) Group Theory in Solid State Physics. London: Taylor and Francis.
Groot, S. R. and Mazur, P. (1962) Non-equilibrium Thermodynamics. Amsterdam: North Holland.
Dick, B. G. and Overhauser, A. W. (1958) Theory of the dielectric constant of alkali halide crystals. Phys. Rev. 112, 90–118.
Elliot, R. J. (1954) Spin-orbit coupling in band theory – character tables for some “double” space groups. Phys. Rev. 96, 280–7.
Evarestov, R. A. and Smirnov, V. P. (1997) Site Symmetry in Crystals, 2nd. edn. Berlin: Springer.
Fano, U. and Racah, G. (1959) Irreducible Tensorial Sets. New York: Academic Press.
Flurry, R. L. (1980) Symmetry Groups. Englewood Cliffs, NJ: Prentice-Hall.
Flygare, W. H. (1978) Molecular Structure and Dynamics. Englewood Cliffs, NJ: Prentice-Hall.
Gale, J. D. (1997) GULP: A computer program for the symmetry-adapted simulation of solids. J. Chem. Soc., Faraday Trans. 93, 629–37.
Golding, R. M. and Carrington, A. (1962) Electonic structure and spectra of octacyanide complexes. Mol. Phys. 5, 377–85.
Griffith, J. S. (1964) The Theory of Transition-Metal Ions. Cambridge: Cambridge University Press.
Grimes, R. W., Harker, A. H., and Lidiard, A. B. (eds.) (1996) Interatomic potentials. Phil. Mag. B 73, 3–19.
Hahn, T. (1983) International Tables for Crystallography. Dordrecht: Reidel.
Hall, M. (1959) The Theory of Groups. New York: Macmillan.
Hammermesh, M. (1962) Group Theory and Its Applications to Physical Problems. Reading, MA: Addison-Wesley.
Harris, D. C. and Bertolucci, M. D. (1978) Symmetry and Spectroscopy. New York: Oxford University Press.
Herring, C. (1942) Character tables for two space groups. J. Franklin Inst. 233, 525–43.
Hurley, A. C. (1966) Ray representations of point groups and the irreducible representations of space groups and double space groups. Phil. Trans. Roy. Soc. (London) A260, 1–36.
Jackson, R. A., Meenan, P., Price, G. D., Roberts, K. J., Telfer, G. B., and Wilde, P. J. (1995) Potential fitting to molecular ionic materials. Mineralogical Mag. 59, 617–22.
Jansen, L. and Boon, M. (1967) Theory of Finite Groups. Applications in Physics. Amsterdam: North-Holland.
Johnston, D. F. (1960) Group theory in solid state physics. Rep. Prog. Phys. 23, 55–153.
Jones, H. (1962) The Theory of Brillouin Zones and Electronic States in Crystals. Amsterdam: North-Holland.
Jones, H.(1975) The Theory of Brillouin Zones and Electronic States in Crystals, 2nd edn. Reading, MA: Addison-Wesley.
Jones, H. F. (1990) Groups Representations and Physics. Bristol: Adam Hilger. p. 394
Karavaev, G. F. (1965) Selection rules for indirect transitions in crystals. Sov. Phys. Solid-State 6, 2943–8.
Kim, S. K. (1999) Group Theoretical Methods. Cambridge: Cambridge University Press.
Koster, G. F., Dimmock, J. O., Wheeler, R. G., and Statz, H. (1963) Properties of the Thirty-two Point Groups. Cambridge, MA: M.I.T. Press.
Kovalev, O. V. (1993) Representations of the Crystallographic Space Groups: Irreducible Representations, Induced Representations and Corepresentations, 2nd edn. Philadelphia, PA: Gordon and Breach.
Kramers, H. A. (1930) General theory of paramagnetic rotation in crystals. Koninkl. Ned. Akad. Wetenschap, Proc. 33, 959–72.
Landsberg, P. T. (ed.) (1969) Solid State Theory. London: Wiley Interscience.
Lax, M. (1962) Influence of time reversal on selection rules connecting different points in the Brillouin zone. Proc. Intl Conf. on Physics of Semicondutors. London: Institute of Physics and Physical Society.
Lax, M.(1965) Sub-group techniques in crystal and molecular physics. Phys. Rev. 138, A793–802.
Lax, M.(1974) Symmetry Principles in Solid State and Molecular Physics. New York: John Wiley and Sons.
Liebfried, G. (1955). In Handbuch der Physik vol. VII/I, pp. 104–324. Berlin: Springer.
Littlewood, D. E. (1958) A University Algebra. London: Heinemann.
Lyubarskii, G. Ya. (1960) The Application of Group Theory in Physics. Oxford: Pergamon Press.
Maradudin, A. A. and Vosko, S. H. (1968) Symmetry properties of normal vibrations in a crystal. Rev. Mod. Phys. 40, 1–37.
Maradudin, A. A., Montroll, E. W., Weiss, G. H., and Ipatova, I. P. (1971) Theory of Lattice Dynamics in the Harmonic Approximation, 2nd edn. New York: Academic Press.
Margenau, H. and Murphy, G. M. (1943) The Mathematics of Physics and Chemistry. New York: D.Van Nostrand.
McWeeny, R. (1963) Symmetry: An Introduction to Group Theory and Its Applications. Oxford: Pergamon Press.
Miller, S. C. and Love, W. F. (1967) Tables of Irreducible Representations of Space Groups and Co-representations of Magnetic Space Groups. Boulder, CO: Pruett.
Morgan, D. J. (1969) Group theory and electronic states in perfect crystals. In Landsberg, P. T. (ed.) Solid State Theory, chaps. IV and V. London: Wiley Interscience.
Nowick, A. S. (1995) Crystal Properties via Group Theory. Cambridge: Cambridge University Press.
Nowick, A. S. and Heller, W. R. (1965) Dielectric and anelastic relaxation of crystals containing point defects. Adv. Phys. 14, 101–66.
Nye, J. F. (1957) Physical Properties of Crystals. Oxford: Oxford University Press.
Onodera, Y., and Okazaki, M. (1966) Tables of basis functions for double groups. J. Phys. Soc. Japan 21, 2400–8.
Onsager, L. (1931a) Reciprocal relations in irreversible processes Part I. Phys. Rev. 37, 405–26.
Onsager, L.(1931b) Reciprocal relations in irreversible processes Part II. Phys. Rev. 38, 2265–79.
Purcell, K. F. and Kotz, J. C. (1980) Inorganic Chemistry. Saunders, Philadelphia, PA: Saunders.
Rose, M. E. (1957) Elementary Theory of Angular Momentum (Wiley, New York).
Sangster, M. J. L. and Attwood, R. M. (1978) Interionic potentials for alkali halides. J. Phys. C 11, 1541–54.
Shockley, W. (1937) The empty lattice test of the cellular method in solids. Phys. Rev. 52, 866–72.
Shubnikov, A. V. and Belov, N. V. (1964) Colored Symmetry. Oxford: Pergamon Press.
Stokes, H. T. and Hatch, D. M. (1988) Isotropy Subgroups of the 230 Crystallographic Space Groups. Singapore: World Scientific.
Sugano, S., Tanabe, Y., and Kamimura, H. (1970) Multiplets of Transition-Metal Ions in Crystals. London: Academic Press.
Tanabe, Y. and Sugano, S. (1954) The absorption spectra of complex ions I. J. Phys. Soc. Japan 9, 753–766.
Tinkham, M. (1964) Group Theory and Quantum Mechanics. New York: McGraw-Hill.
Venkataraman, G., Feldkamp, L. A. and Sahni, V. C. (1975) Dynamics of Perfect Crystals. Cambridge, MA: MIT Press.
Weber, W. (1977) Adiabatic bond charge model for the phonons in diamond. Phys. Rev. B 15, 4789–803.
Whittaker, E. T. and Watson, G. N. (1927) A Course of Modern Analysis. Cambridge: Cambridge University Press.
Wigner, E. P. (1959) Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra. New York: Academic Press.
Wooster, W. A. (1973) Tensors and Group Theory for the Physical Properties of Crystals. Oxford: Clarendon Press.
Worlton, T. G. and Warren, J. L. (1972) Group theoretical analysis of lattice vibrations. Comp. Phys. Commun. 3, 88–117.
Yamada, S. and Tsuchida, R. (1952) Spectrochemical study of microscopic crystals. II. Dichroism of praseocobaltic salts. Bull. Chem. Soc. Japan 25, 127–30.
Yamada, S., Nakahara, A., Shimura, Y., and Tsuchida, R. (1955) Spectrochemical study of microscopic crystals. VII. Absorption spectra of trans-dihalobis(ethylenediamine) cobalt(III) complexes. Bull. Chem. Soc. Japan 28, 222–7.
Zak, J. (ed.) (1969) The Irreducible Representations of Space Groups. Elmsford, NY: Benjamin.

Metrics

Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.