Nihonkai Mathematical Journal

The configuration space of a model for $5$-membered straight-chain hydrocarbon molecules parametrized by chain lengths

Satoru Goto, Kazushi Komatsu, and Jun Yagi

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Abstract

We provide a mathematical model of $n$-membered straight-chain hydrocarbon molecules. The configuration space of the model is parametrized by chain lengths. By assuming the bond angle conditions required for hydrocarbon molecules, we determine the topological types of fibers of the configuration space of the model by chain lengths when $n = 5$.

Article information

Source
Nihonkai Math. J., Volume 26, Number 1 (2015), 37-45.

Dates
First available in Project Euclid: 30 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.nihmj/1459343069

Mathematical Reviews number (MathSciNet)
MR3482756

Zentralblatt MATH identifier
1338.92149

Subjects
Primary: 52C99: None of the above, but in this section
Secondary: 57M50: Geometric structures on low-dimensional manifolds 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.) 92E10: Molecular structure (graph-theoretic methods, methods of differential topology, etc.)

Keywords
Configuration space molecular structure

Citation

Goto, Satoru; Komatsu, Kazushi; Yagi, Jun. The configuration space of a model for $5$-membered straight-chain hydrocarbon molecules parametrized by chain lengths. Nihonkai Math. J. 26 (2015), no. 1, 37--45. https://projecteuclid.org/euclid.nihmj/1459343069


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References

  • S. Goto, Z. Guo, Y. Futatsuishi, H. Hori, Z. Taira and H. Terada, Quantitative structure-activity relationships of benzamide derivatives for anti-leukotriene antagonists, J. Med. Chem. 35 (1992), 2440–2445.
  • S. Goto, Y. Hemmi, K. Komatsu and J. Yagi, The closed chains with spherical configuration spaces, Hiroshima Math. J. 42 (2012), 143–291.
  • S. Goto and K. Komatsu, The configuration space of a model for ringed hydrocarbon molecules, Hiroshima Math. J. 42 (2012), 115–126.
  • S. Goto, K. Komatsu and J. Yagi, A remark on the configuration space of a model for ringed hydrocarbon molecules, Kochi J. Math. 7 (2012), 1–15.
  • H. Kamiya, Weighted trace functions as examples of Morse functions, J. Fac. Sci. Shinshu Univ. 6 (1971), 85–96.
  • J. O'Hara, The configuration space of equilateral and equiangular hexagons, Osaka J. Math. 50 (2013), 477–489.