Characteristic polynomials of linear polyacenes and their subspectrality |
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Authors: | Gautam Mukherjee Kakali Datta and Asok K Mukherjee |
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Institution: | (1) Department of Chemistry, Narasingha Datta College, Howrah, West Bengal, India;(2) Department of Chemistry, Burdwan University, 713 104 Burdwan, India |
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Abstract: | Coefficients of characteristic polynomials (CP) of linear polyacenes (LP) have been shown to be obtainable from Pascal’s triangle
by using a graph factorisation and squaring technique. Strong subspectrality existing among the members of the linear polyacene
series has been shown from the derivation of the CP’s. Thus it has been shown that the entire eigenspectrum of ann-ring LP is included in that of (2n + 1)-ring LP. Correspondence between the eigenspectra of linear chains and LP’s is brought
out by a recently developed vertex-alternation and squaring algorithm. |
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Keywords: | Characteristic polynomials linear polyacenes Pascal’ s triangle subspectrality |
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