Premium
Application of recurrent relationships in chromatography
Author(s) -
Zenkevich Igor G.
Publication year - 2009
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/cem.1214
Subject(s) - chemistry , high performance liquid chromatography , homologous series , molecule , gas chromatography , isothermal process , column chromatography , series (stratigraphy) , chromatography , thermodynamics , organic chemistry , physics , paleontology , biology
Recurrent relationships of general form A ( x + k ) = aA ( x ) + b were shown to be applicable to the approximation not only of values of most physicochemical constants of organic compounds ( A ) indicating monotonous or oscillating variations within different homologous series ( x = n C , k = 1 or 2), but also of the dependences of chromatographic retention parameters on the number of carbon atoms in homologue molecules ( A = t R , x = n C ) in gas and high performance liquid chromatography (HPLC). In these cases the values of argument (the number of carbon atoms in the molecule) are integer by definition, while the functions are discrete. Besides that, the same recurrent equations describe the temperature dependence of retention times of analytes under isothermal separation conditions in gas chromatography ( A = t R , x = T , k = Δ T = const) and the dependences of retention times on the concentrations of an organic solvent as an eluent component ( A = t R , x = C , k = Δ C = const) under isocratic separation conditions in HPLC, which are the examples of the functions of continuous arguments. Key mathematical properties of recurrences explaining us their promising applications in chemistry and chromatography are discussed. The method to apply recurrent equations to arbitrary, not necessary equidistant, values of continuous arguments is considered. Copyright © 2009 John Wiley & Sons, Ltd.