1023-1935/03/3902- $25.00 © 2003 åÄIä “Nauka /Interperiodica” 0177
Russian Journal of Electrochemistry, Vol. 39, No. 2, 2003, pp. 177–181. From Elektrokhimiya, Vol. 39, No. 2, 2003, pp. 197–202.
Original English Text Copyright © 2003 by Lukovits, Shaban, Kálmán.
INTRODUCTION
The term “quantitative structure–activity relation-
ships” (QSAR) was first used in pharmacology in 1964,
when Hansch and his co-workers [1] discovered that
variation of pharmacological efficiency of (closely-
related) drugs might be explained in terms of simple
variables, the substituent constants. Substituent con-
stants were invented earlier [2] and are in fact numbers
characterizing various groups (like –OH, –Cl, –NO
2
,
-COOH, –CH
3
, etc.) and in principle do not depend on
the fact which parent structure they are attached to. In
pharmacology, QSAR research has produced thousands
of papers, and there is even a scientific journal (besides
others devoted to QSAR) bearing this abbreviation. The
aim of these theoretical studies is to reduce the cost of
research, since in many cases based on the results of a
QSAR analysis, many prospective derivatives can be
safely excluded from further screening, even without
the necessity to synthesize them! In this paper the term
“QSAR” will denote any relationship between quanti-
tative measures of efficiency and indices related to the
molecular structure.
The relationship between efficiency and the struc-
ture of corrosion inhibitors became, soon after Han-
sch’s discovery, the topic of electrochemical research
[3]. Nevertheless the number of papers published so far
on QSAR is much smaller in corrosion research than in
pharmacology. The aim of the present investigation is
to summarize the results obtained in the field of QSAR
of corrosion inhibitors. The following review is struc-
tured as follows: results in terms of the parameters used
to account for variations in the molecular structure will
be discussed first (Sections 2–4, table), then the results
obtained by nonlinear regression analysis (Section 5)
will be reviewed briefly.
INDICATOR VARIABLES
The simplest way to account for variations in the
molecular structure is to apply indicator variables.
According to this approach, which was first used by
Free and Wilson [4], the activity η (that is the inhibition
efficiency, in our case) is equal to the sum of group con-
tributions. Throughout this paper the following defini-
tion of η will be used:
(1)
where i
0
denotes the corrosion current density in the
inhibitor absence, and i denotes the same quantity in the
inhibitor presence.
As an example, consider a series of phenyl deriva-
tives, where one derivative contains an ortho methyl,
and a para –NO
2
. Then,
(2)
where [X] denotes the group contribution of substituent
X, and the constant is the expected activity of the non-
substituted molecule. Different positions of the same
substituent (in our case, CH
3
in ortho- or para-posi-
tions) have to be considered separately. The actual val-
ues of the group contributions are easily obtained by
using linear regression analysis [5]. It has to be noted
that Eq. (2) (and Eq. (3), too) is related to constant con-
centrations of the inhibitors, in disagreement with
QSAR investigations, where pharmacological activity
is constant, and the concentration, needed to evoke a
(standard) response, varies.
In a series of aromatic compounds, Dupin et al. [6, 7]
were the first to perform a Free–Wilson type analysis
for corrosion inhibitors. Using the Free–Wilson
approach for a series of eighteen secondary amines,
Kálmán et al. [8], have demonstrated a moderate corre-
lation coefficient (R = 0.89) between experimental effi-
ciencies and the estimated values. In both cases the
results indicated that the optimal molecule was already
a member of the set of molecules used to derive QSAR
η i
0
i – ( 29 / i
0
, =
η o -CH
3
[ ] n -NO
2
[ ] const, + + =
Corrosion Inhibitors: Quantitative
Structure–Activity Relationships*
I. Lukovits, A. Shaban, and E. Kálmán
Chemical Research Center, Institute of Chemistry, Hungarian Academy of Sciences, H-1525 Budapest, P.O. Box 17, Hungary
Received April 1, 2002; in final form, April 30, 2002
Abstract—Quantitative structure–activity relationships (QSAR) between corrosion inhibition efficiency and
molecular structure may help promote the discovery of new, more efficient corrosion inhibitors. In this work
various methods used in the QSAR studies of corrosion inhibitors are reviewed and discussed briefly.
* This article was submitted by the authors in English.
Dedicated to the seventieth anniversary
of R.R. Dogonadze’s birth