## Nihonkai Mathematical Journal

### The squared chain length function of 5 or 6-membered straight-chains with the tetrahedral bond angle

Kazushi Komatsu

#### 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 $n = 5, 6$.

#### Note

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.

#### Article information

Source
Nihonkai Math. J., Volume 28, Number 2 (2017), 89-98.

Dates
First available in Project Euclid: 26 April 2018

https://projecteuclid.org/euclid.nihmj/1524708083

Mathematical Reviews number (MathSciNet)
MR3794317

Zentralblatt MATH identifier
06873761

#### Citation

Komatsu, Kazushi. The squared chain length function of 5 or 6-membered straight-chains with the tetrahedral bond angle. Nihonkai Math. J. 28 (2017), no. 2, 89--98. https://projecteuclid.org/euclid.nihmj/1524708083

#### References

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