Abstract
Cyclohexane molecule contains 6 C atoms connected cyclically by single chemical bonds; 2 H atoms are attached to each carbon one. Single bonds of a C atom have a fixed length and form fixed angles: if the C atom is put to the center of a tetrahedron, then its single bonds point to its vertices. The problem is: how many geometrical configurations (conformations, as chemists call them) of the cyclohexane molecule exist—one, several, or infinitely many (and if so, what is the dimensionality of this set).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Buchberger, B., Collins, G.E., Loos, R. (ed.): Computer Algebra: Symbolic and Algebraic Computation, 2nd edn. Springer, Vienna (1983)
Davenport, J.H., Siret, Y., Tournier, E.: Computer Algebra: Systems and Algorithms for Algebraic Computation, 2nd edn. Academic Press, London (1993)
Geddes, K.O., Czapor, S.R., Labahn, G.: Algorithms for Computer Algebra. Kluwer Academic Publishers, Boston (1992)
von zur Gathen, J., Gerhard, J.: Modern Computer Algebra, 2nd edn. Cambridge University Press, Cambridge (2003)
Grozin, A.G.: Using REDUCE in High Energy Physics. Cambridge University Press, New York (1997); paperback edition (2005)
Wolfram, S.: The Mathematica Book, 5th edn. Wolfram Media, Champaign (2003)
Trott, M.: The Mathematica GuideBook for Symbolics. Springer Science+Business Media, Inc., New York (2006)
Trott, M.: The Mathematica GuideBook for Numerics. Springer Science+Business Media, Inc., New York (2006)
Trott, M.: The Mathematica GuideBook for Graphics. Springer, New York (2004)
Trott, M.: The Mathematica GuideBook for Programming. Springer, New York (2004)
Mangano, S.: Mathematica Cookbook, O’Reilly Media, Inc., Sebastopol, CA (2010)
Cox, D., Little, J., O’Shea, D.: Ideals, Varieties, and Algorithms, 3rd edn. Springer, New York (2007)
Arzhantsev, I.V.: Gröbner Bases and Systems of Algebraic Equations (in Russian), 3rd edn. MCCMO, Moscow (2003). http://www.mccme.ru/free-books/dubna/arjantsev.pdf
Kredel, H., Weispfenning, V.: J. Symbolic Computing dimension and independent sets for polynomial ideals 6, 231 (1988)
Fateman, R.J.: A review of Mathematica. J. Symbolic Comput. 13, 545 (1992). (http://www.cs.berkeley.edu/~fateman/papers/mma.pdf); http://www.cs.berkeley.edu/~fateman/papers/mma6rev.pdf
Bronstein, M.: Symbolic Integration I. Springer, Berlin (1997)
Davenport, J.H.: On the integration of algebraic functions. In: Lecture notes in computer science, vol. 102. Springer, New York (1981)
Landau, L.D., Lifshitz, E.M.: Quantum Mechanics: Non-relativistic Theory, 3rd edn. Butterworth-Heinemann, Oxford (1981)
Landau, L.D., Lifshitz, E.M.: Mechanics, 3rd edn. Butterworth-Heinemann, Oxford (1982)
Landau, L.D., Lifshitz, E.M.: The Classical Theory of Fields, 4th edn. Butterworth-Heinemann, Oxford (1980)
Landau, L.D., Lifshitz, E.M., Pitaevskii, L.P.: Electrodynamics of Continuous Media, 2nd edn. Butterworth-Heinemann, Oxford (1995)
Berestetskii, V.B., Lifshitz, E.M., Pitaevskii, L.P.: Quantum Electrodynamics, 2nd edn. Butterworth-Heinemann, Oxford (1982)
Prudnikov, A.P., Brychkov, Yu.A., Marichev, O.I.: Integrals and Series, vol. 3, Chapter 7. Gordon and Breach, New York (1990)
NIST Handbook of Mathematical Functions, ed. by F.W.J. Olver, D.W. Lozier, R.F. Boisvert, C.W. Clark, Cambridge University Press, Cambridge (2010). http://dlmf.nist.gov/
Cvitanović, P.: Group Theory. Princeton University Press, Princeton (2008). http://www.nbi.dk/GroupTheory/: http://function.wolfram.com/
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Grozin, A. (2014). Cyclohexane. In: Introduction to Mathematica® for Physicists. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-00894-3_24
Download citation
DOI: https://doi.org/10.1007/978-3-319-00894-3_24
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-00893-6
Online ISBN: 978-3-319-00894-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)