Formula periodic table for the isomer classes of acyclic hydrocarbons - Enumerative and asymptotic characteristics Academic Article uri icon


  • The overall set of acyclic hydrocarbons CnH2m with classical valence structures is considered, the structural isomers are enumerated, and the results displayed in the form of a »periodic table« with the C atom count n and H atom half-count m respectively identifying rows and columns. Asymptotic n → ∞ behaviors of these enumerations are developed, first for fixed degree u ≡ n+1-m of unsaturation and second for fixed number 2m of H-atoms. The first-set isomer classes increase in size exponentially fast with n, whereas with the second set, the isomer-class sizes increase sub-exponentially, as a power of n.

published proceedings


author list (cited authors)

  • Bytautas, L., & Klein, D. J.

complete list of authors

  • Bytautas, L||Klein, DJ

publication date

  • June 2000