Characteristic polynomials of organic polymers and periodic structures

✍ Scribed by K. Balasubramanian

• Book ID: 102880654
• Publisher: John Wiley and Sons
• Year: 1985
• Tongue: English
• Weight: 540 KB
• Volume: 6
• Category: Article
• ISSN: 0192-8651
• DOI: 10.1002/jcc.540060620

✦ Synopsis

It is shown that the Frame's method (also, Le Verrier-Faddeev's method) for characteristic polynomials of chemical graphs can be extended to periodic graphs and structures. The finite periodic structures are represented by cyclic structures in the Born-von K h n a n boundary condition which leads to complex matrices. In this article we demonstrate that our earlier computer program (based on Frame's method) can be extended to these periodic networks. The characteristic polynomials of several lattices such as polydiacetylenes, one-dimensional triangular, square, and hexagonal lattices are obtained. These polynomials can be obtained with very little computer time using this method.