Introduction

Taking into account the utilization of the benzimidazole derivatives in the synthesis of heat-resistant fibers, which are also used in the manufacture of parachutes, conveyer belts, heat-insulating material and asbestos replacements, they strongly influence progress in aerospace and aeronautics technology. Use of some benzimidazole molecules, such as 5-nitrobenzimidazole, as antifogging substances, photoemulsion stabilizers and as a fungicides significantly increase the importance of benzimidazole derivatives and led our research group to investigate their structure–reactivity relationships at both experimental and theoretical levels. [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]

We now report on the substituent effects on tautomerism of 4(7) and 5(6) substituted 2-hydroxybenzimidazole derivatives to fill the gap in the literature and hoping to give some clues to those researchers who will attempt to obtain alternatives in synthesis and use in the above mentioned applications. As one can immediately notice, there exist two kinds of prototautomerism in 4(7) or 5(6) substituted 2-hydroxybenzimidazole derivatives and these are annular and ring–chain tautomerisms (Scheme 1).

Scheme 1.
scheme 1

Annular and ring–chain prototautomerism for 4(7) and 5(6) substituted 2- hydroxybenzimidazole derivatives

It was reported in the literature that the substitution in position 2 of the benzimidazole molecule has no influence on annular tautomerism (i.e. K T) and the symmetry was C s. [13] Substituents in position 4(7) and 5(6) exercise a relatively remote perturbation. Therefore K T does not differ much from 1 unless an unusual (attractive or repulsive) interaction occurs between a subsitituent in the 7-position and the proton bound to the nitrogen atom (N1). Experimental studies on annular tautomerism of unsubstituted and 4(7) and 5(6) substituted benzimidazoles have been reported in the literature [13, 14] but we did not come across any detailed theoretical study on this subject. On the other hand, a few experimental [13] and theoretical [10, 11, 12, 13] results on ring–chain tautomerism for unsubstituted and for 4(7) and 5(6) substituted 2-hydroxybenzimidazoles have also been reported. However no systematic theoretical work exists yet.

Method

Theoretical calculations were carried out at the restricted Hartree–Fock level (RHF) using AM1 and PM3 semi-empirical SCF-MO methods in the MOPAC 7.0 program [14] implemented on an Intel Pentium Pro 200-MHz computer. All the structures were optimized to a gradient norm of <0.1 kcal mol−1 Å−1 in the aqueous phase. The initial estimates of the geometries of all the structures were obtained by a molecular mechanics program of PCMODEL 3.1 from Serena Software.

Results and discussion

Relative stabilities and tautomerism

The aqueous phase semi-empirical AM1 and PM3 computed thermodynamic and stability data for 4(7) and 5(6) substituted 2-hydroxybenzimidazole derivatives are given Tables 1 and 2, respectively.

Table 1. Aqueous phase AM1 and PM3 calculated thermodynamic data (ε=78.4) for 4(7) and 5(6) substitued 2-hydroxy benzimidazole derivatives
Table 2. Comparision of AM1 and PM3 calculated stabilities (RS) of benzimidazole molecules

Annular tautomerism

When the annular tautomerism of 2-hydroxybenzimidazole derivatives is considered, it seems that the presence of potentially tautomeric hydroxyl group at 2C of the benzimidazole molecule has no influence on relative stability values, RS, and the value of tautomeric equilibria constants, K T, is about unity as indicated in the literature [13] (Tables 2 and 3). The calculated RS and K T1 values for \( a1 \rightleftharpoons a3 \) equilibria, which represent the annular 1H 3H for 2-hydroxbenzimidazole derivatives, were found to be close to zero and unity, respectively, in most cases (Scheme 1). This result fits the literature reports very nicely. [13] In same cases, however, considerable deviations were obtained from the zero value of RS and unity of K T1. These deviations were presumably due to the unusual interactions between the substituent and the proton bound to the nitrogen atom as in the 7-nitro-2-hydroxybenzimidazole molecule and indicates the effect of chain tautomerism on annular tautomerism (Scheme 2).

Table 3. The aqueous phase AM1 and PM3 calculated tautomeric equlibrium constants, K T a, for the studied molecules
Scheme 2.
scheme 2

Annular \(\left( {1H \rightleftharpoons 3H} \right)\) and ring–chain \(\left( {keto \rightleftharpoons enol} \right)\) tautomerism for 7-nitro-2-hydroxybenzimidazole

The RS values for 7-nitro-2-hydroxybenzimidazole were found to be 0.69 and −1.15 kcal mol−1 for \(a1 \rightleftharpoons a3 \) equilibrium with the AM1 and PM3 methods, respectively. These are very small but contradictory values; the first value indicates that the 3H form is favored over 1H weakly for this molecule. From these values, which are close to the zero, we can say that 1H≡3H forms as for the other 4(7) substituted 2-hydroxybenzimidazole molecules. RS results for the \(a1 \rightleftharpoons a3 \) equilibrium, which are 0.2 and 0.41 kcal mol−1 with the AM1 and PM3 methods, respectively, might well indicative that the 3H form is favored due to full the conjugative effect of NO2, which is an electron-withdrawing group, by withdrawing electrons from the imidazole ring and rendering the formation of 3H keto form more favorable (Scheme 3).

Scheme 3.
scheme 3

Annular \(\left( {1H \rightleftharpoons 3H} \right)\) and ring-chain \(\left( {keto \rightleftharpoons enol} \right)\) tautomerism for 5(6)-nitro-2-hydroxybenzimidazole

This conclusion can be justified by looking at the K T2 and K T3 values of 5(6)-nitro-2-hydroxybenzimidazole, which are smaller than the K T2 and K T3 values of 4(7)-nitro-2-hydroxybenzimidazoles molecules (Table 3).

Ring–chain tautomerism

The AM1 and PM3 aqueous phase calculated ring–chain tautomeric equilibrium constants, K T values, are collected in Table 3. As one can easily see the K T2 and K T3 values suggest the oxo forms for all studied compounds are overwhelmingly favored, as stated in the literature. A small drop in K T2 values is observed when a strong electron-withdrawing (like NO2) or electron-donating (like OCH3) substituent moves from 4(7) C to 5(6) C, which obviously leads stronger interactions as mentioned earlier between the hydrogen atom of the imidazole ring and the substituent by causing a longer through conjugation over the whole ring. All these observations fit well with the literature. [13]

Conclusion

It seems that the AM1 and PM3 aqueous phase calculations may let us predict the possible tautomeric form in neutral solutions, which may provide invaluable knowledge about the structure and activity of the substituted benzimidazoles for planning syntheses to use for a specific purpose. An attempt to compare the success of the two methods by searching a correlation between the AM1 and PM3 data revealed that in most cases there exists a perfect correlation with a regression of around unity (i.e. R 2≅1) (see Figs. 1, 2, 3), which in turn indicates that only one of the methods of AM1 or PM3 can safely be used in such research, and the molecules that deviate (such as 4, 6 and 8) behave abnormally due to the substituents.

Fig. 1.
figure 1

The plot of AM1 calculated relative stabilities against PM3 calculated relative stabilities for \(b3 \rightleftharpoons a3 \) process for the studied molecules (1–9)

Fig. 2.
figure 2

The plot of AM1 calculated relative stabilities against PM3 calculated relative stabilities for \(a1 \rightleftharpoons a3\) process for the studied molecules (19)

Fig. 3.
figure 3

The plot of AM1 calculated relative stabilities against PM3 calculated relative stabilities for \(b1 \rightleftharpoons a1\) process for the studied molecules (1–9)