Open Access
2017 The squared chain length function of 5 or 6-membered straight-chains with the tetrahedral bond angle
Kazushi Komatsu
Nihonkai Math. J. 28(2): 89-98 (2017).

Abstract

We provide straight-chains with the tetrahedral bond angle $\cos^{-1}(-1/3)$ as a mathematical model of $n$-membered straight-chain hydrocarbon molecules. We study the squared chain length function on the configuration space of the model and determine the critical points with planar configurations when $n = 5, 6$.

Acknowledgment

The authors would like to express their sincere gratitude to the referee for useful comments. The authors would like to express their sincere gratitude to the editor for valuable help.

Citation

Download Citation

Kazushi Komatsu. "The squared chain length function of 5 or 6-membered straight-chains with the tetrahedral bond angle." Nihonkai Math. J. 28 (2) 89 - 98, 2017.

Information

Received: 27 August 2016; Published: 2017
First available in Project Euclid: 26 April 2018

zbMATH: 06873761
MathSciNet: MR3794317

Subjects:
Primary: 52C99
Secondary: 57M50 , 58E05 , 92E10

Keywords: configuration space , molecular structure

Rights: Copyright © 2017 Niigata University, Department of Mathematics

Vol.28 • No. 2 • 2017
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