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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


Puni tekst: engleski pdf 297 Kb

str. 331-357

preuzimanja: 336

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Sažetak

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 un + 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.

Ključne riječi

acyclic hydrocarbons; asymptotic behavior; enumeration; isomer classes

Hrčak ID:

132040

URI

https://hrcak.srce.hr/132040

Datum izdavanja:

5.6.2000.

Posjeta: 703 *