Croatica Chemica Acta, Vol. 73 No. 2, 2000.
Original scientific paper
Formula Periodic Table for the Isomer Classes of Acyclic Hydrocarbons - Enumerative and Asymptotic Characteristics
Laimutis Bytautas
; Texas A&M University at Galveston, Galveston, Texas 77551-1675, USA
Douglas J. Klein
; Texas A&M University at Galveston, Galveston, Texas 77551-1675, USA
Abstract
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.
Keywords
acyclic hydrocarbons; asymptotic behavior; enumeration; isomer classes
Hrčak ID:
132040
URI
Publication date:
5.6.2000.
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