PRE-CALCULATION OF GC ANALYTICAL PARAMETERS FROM
PHYSICO-CHEMICAL CONSTANTS OF ORGANIC COMPOUNDS.
CHEMOMETRIC EVALUATION OF NEW CLASS OF ALGORITHMS
WITH ESTIMATION OF RESULTS' UNCERTAINTY

Zenkevich, I.G.

Chemical Research Institute of St. Petersburg State University
Universitetsky pr., 2., St. Petersburg 198904, Russia
e-mail: gc_lab@nonel.chem.lgu.spb.su

 

Typical design on numerous contemporary algorithms for pre-calculation of different analytical parameters (including GC retention indices, RI) from other constants (those are determined more detail and/or less available) implies obtaining of single estimations:

Initial data Equation, algorithm, or software single result

Unfortunately, the evaluation of these single results correctness (quality control) often is impossible in the framework of this classical concept. Its rejection permits us to establish a new class of algorithm for the pre-calculation of RIs of various organic compounds on standard non-polar stationary phases (polydimethyl siloxanes).

Initial data for RI pre-calculation:

large and well systematized collections of physico-chemical constants: boiling points (Tb), refractive indices (n20D), densities (d204) and molecular weights (MW). The values of n20D, d204 and MW are necessary for the calculation of molar refractions (MRD) those are proportional to molecular polarizabilities and reflect the van der Waals' contribution of sorbent interactions.

By analogy with linear interpolation formulae for calculation of GC retention indices, every compound with known MW, Tb and MRD may be characterized by three "like-IR" parameters:

RIX(Tb) = RIr1 + (RIr2 -RIr1) [log Tb,X - log Tb,r1]/[log Tb,r2 - log Tb,r1]

(P.G. Robinson, A.L. Odell, 1971)

RIX(MW) = RIr1 + (RIr2 -RIr1) (MWX - MWr1)/(MWr2 - MWr1) = 7.143 (MWX-2)

(M.B. Evans, J.K. Haken, 1986)

RIX(MRD) = RIr1 + (RIr2 -RIr1) (MRD,X - MRD,r1)/(MRD,r2 - MRD,r1) = 21.645 (MRD,X-2.2)

(I.G. Zenkevich, L.M. Kuznetsova, 1990)

Moreover, in addition to the mentioned parameters the best linearization of function RI(Tb,MRD) must be taken into account: log RI(Tb-MRD) = a log Tb + b MRD + c (reference homologous series – n-alkanes or others). The comparison of all four pre-calculated pseudo-RI values on the base of set of logical criteria is the most important part of RIprecalcd evaluation:

  1. The case RI(MW) >RI(Tb) > RI(MRD) is typical for non-polar compounds (without active hydrogen atoms and/or functional groups CO, CN, NO2, S O, SO2, etc.). Observed RIexperim values are in accordance with following inequality: RI(Tb-MRD) < Riexperim < RI(Tb). So far as RI(Tb-MRD) RI(Tb), the high correctness of results is guaranteed.
  2. Other inequality RI(Tb) > RI(MW) > RI(MRD) is typical for polar compounds. In this case the window for RIexperim values is very large, but no exceptions have been found after the testing of data for about 2,000 examples: RI(MW) < Riexperim < RI(Tb). There are no correct rules to determine more precisely the "position" of RIexperim between low and high limits of this window and only partial recommendation may be proposed.

Important examples of GC Ris precalculation with new algorithm are discussed.

Compound

RI(Tb-MRD)

RI(Tb)

Most real RIprecalcd estimation

RIexperim (interlab)

C5H11J

906

929

917

914± 12

CH3-CHCl-CCl3

883

908

896

903± 9

CH(SC2H5)3

1290

1302

1296

none

Sb(CH3)3

630

644

637

none