• Gautam Mukherjee

      Articles written in Journal of Chemical Sciences

    • Characteristic polynomials of linear polyacenes and their subspectrality

      Gautam Mukherjee Kakali Datta Asok K Mukherjee

      More Details Abstract Fulltext PDF

      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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