Equilibria in cobalt(II)–amino acid–imidazole system under oxygen-free conditions: effect of side groups on mixed-ligand systems with selected L-α-amino acids

Background Heteroligand Co(II) complexes involving imidazole and selected bio-relevant L-α-amino acids of four different groups (aspartic acid, lysine, histidine and asparagine) were formed by using a polymeric, pseudo-tetrahedral, semi-conductive Co(II) complex with imidazole–[Co(imid)2]n as starting material. The coordination mode in the heteroligand complexes was unified to one imidazole in the axial position and one or two amino acid moieties in the appropriate remaining positions. The corresponding equilibrium models in aqueous solutions were fully correlated with the mass and charge balance equations, without any of the simplified assumptions used in earlier studies. Precise knowledge of equilibria under oxygen-free conditions would enable evaluation of the reversible oxygen uptake in the same Co(II)–amino acid–imidazole systems, which are known models of artificial blood-substituting agents. Results Heteroligand complexes were formed as a result of proton exchange between the two imidazole molecules found in the [Co(imid)2]n polymer and two functional groups of the amino acid. Potentiometric titrations were confirmed by UV/Vis titrations of the respective combinations of amino acids and Co-imidazole. Formation of MLL′ and ML2L′ species was confirmed for asparagine and aspartic acid. For the two remaining amino acids, the accepted equilibrium models had to include species protonated at the side-chain amine group (as in the case of lysine: MLL′H, ML2L′H2, ML2L′H) or at the imidazole N1 (as in the case of histidine: MLL′H and two isomeric forms of ML2L′). Moreover, the Δlog10 β, log10 βstat, Δlog10 K, and log10 X parameters were used to compare the stability of the heteroligand complexes with their respective binary species. The large differences between the constant for the mixed-ligand complex and the constant based on statistical data Δlog10β indicate that the heteroligand species are more stable than the binary ones. The parameter Δlog10K, which describes the influence of the bonded primary ligand in the binary complex CoII(Himid) towards an incoming secondary ligand (L) forming a heteroligand complex, was negative for all the Amac ligands (except for histidine, which shows stacking interactions). This indicates that the mixed-ligand systems are less stable than the binary complexes with one molecule of imidazole or one molecule of amino acid, in contrast to Δlog10 β, which deals with binary complexes CoII(Himid)2 and CoII(AmacH−1)2 containing two ligand molecules. The high positive values of the log10X disproportionation parameter were in good agreement with the results of the Δlog10β calculations mentioned above. Conclusion The mixed-ligand MLL′-type complexes are formed at pH values above 4–6 (depending on the amino acid used), however, the so-called “active” ML2L′-type complexes, present in the equilibrium mixture and known to be capable of reversible dioxygen uptake, attain maximum share at a pH around nine. For all the amino acids involved, the greater the excess of amino acid, the lower the pH where the given heteroligand complex attains maximum share. The results of our equilibrium studies make it possible to evaluate the oxygenation constants in full accordance with the distribution of species in solution. Such calculations are needed to drive further investigations of artificial blood-substituting systems.


Background
Heteroligand Co(II)-L-α-amino acid-imidazole complexes are formed with protein amino acids in accessible coordination sites under an oxygen-free atmosphere [1]. Those paramagnetic, high-spin, mixed-ligand complexes of Co(II) contain six coordination sites. The structure is regarded as analogous to the binary amino acid complexes of Co(II) and other divalent metals, where the amino acid chelate rings are known to be in an equatorial trans-position [2]. The axial sites are occupied by imidazole (coordinated by N3) and a water molecule [3]. Due to the "trans-effect" of imidazole, these complexes are capable of the multiple cyclic uptake and release of molecular oxygen and therefore, are capable of imitating natural O 2 carriers. In addition they exhibit a suitable temperature range (0-40 °C) for a full equilibrium displacement to the left or right, and are formed from ligands which are non-volatile and low-toxic. It is important to note that in order to obtain the heteroligand complex, a solid, semiconductive polymeric complex [Co(imid) 2 ] n is used as starting material to ensure the position of imidazole in one of the axial sites [4].
Existing literature data suggests that heteroligand complexes in the cobalt(II)-amino acid-imidazole systems are formed within the range pH 6-10 [1, 3,5]. This indicates the deciding donor properties of the amino groups: they dissociate in basic medium. The structures of the mixed-ligand complexes have been confirmed inter alia by the molar neutralization coefficient of imidazole [5] released from the inner coordination sphere of the heteroligand complex, and by additional results obtained in the presence of O 2 [6]. As one of the two imidazole molecules is known to be released to solution from the Co(imid) 2 unit during formation of the mixed-ligand complex, it may be assumed that two amino acid ligands are coordinated via the amino group nitrogens and hydroxyl oxygens of the carboxyl groups. A water molecule or an OH − group may be expected as the remaining sixth donor. Earlier experiments carried out with analogous systems [6] suggest that the uptake of dioxygen does not change the pH, which would undoubtedly occur if O 2 replaced a hydroxyl group. Therefore, the remaining sixth donor is evidently the oxygen of a water molecule. On the other hand, an alternative heteroligand complex, though inactive towards dioxygen uptake, may involve only one amino acid in the equatorial plane but three water molecules in the remaining sites.
The stability constants of mixed-ligand cobalt(II) complexes, with amino acids as primary ligands and imidazole as secondary ligand, under oxygen-free conditions have so far been determined potentiometrically for glycine, DL-α-alanine and DL-valine [7], but the stability constants resulting from combined potentiometric and spectrophotometric titrations have been determined only for L-α-alanine (a monoaminocarboxylic acid) [8]. It should be emphasized that coordinating interactions in the cobalt(II)-amino acid-imidazole systems have been also investigated in solid state: with acetyl-DL-phenylglycine [9], N-acetyl, N-benzoyl and N-tosyl derivatives of amino acids [10] as well as in solution: with imidazole-4-acetic acid [11], bis(imidazolyl) derivatives of amino acids [12], 1,2-disubstituted derivative of L-histidine [13] and biomimetic models of coenzyme B 12 [14].
In the present work, the investigations have been extended from our previous studies with L-α-alanine [8] to a number of amino acids representative of the other four groups: monoaminodicarboxylic acids (L-α-aspartic acid, Asp), diaminomonocarboxylic acids (L-α-lysine, Lys), amino acids with a heterocyclic ring (L-α-histidine, His), as well as amino acids with an amide side-chain group (L-α-asparagine, Asn). The forms of the ligands under study were specified by abbreviated names (Fig. 1). Prior to the experiments with these heteroligand systems, similar experiments using solutions of binary parent species had been performed under the same conditions by both methods used in the present study: pH-potentiometry and UV/Vis spectrophotometry. The essential value of determining the formation constants of the heteroligand species is that the procedure allows the stability constants, K O2 , of the corresponding Co(II)-dioxygen complexes to be evaluated based on the full mass balance equations without any simplifying assumptions.

Results and discussion
Heteroligand complexes are formed as a result of proton exchange between the two imidazole molecules found in the [Co(imid) 2 ] n polymer and two functional groups of the amino acid [8]. Accurate protonation constants of the amino acids and imidazole (Table 1) and formation constants of the binary complexes are needed to determine the formation constants of heteroligand complexes in reactions (1) and (2), which are also given in Table 1. Under more acidic conditions, the predominating reaction is: (charges omitted for clarity) Then, along with alkalization, the predominating reaction is: (charges omitted for clarity)

L-α-Asparagine (Asn)
For the system with L-α-asparagine, two M/L/L′/H ratios have been suggested (Fig. 2). The exact coordination modes were assumed from previous literature reports and evidenced by successful refinement of the convergence between the experimental and theoretical titration curves, as well as by Vis spectroscopy. In both (1)  , Ala and Imidazole taken from previous paper [8] b σ statistical residual parameter of Hyperquad [27]  the heteroligand structures (ML 2 L′ and MLL′) chelation only occurs due to the carboxyl and amino groups at the α-carbon (Fig. 2). It is known that above pH 13, asparagine is a potentially tridentate ligand [15]. In such an alkaline medium, the amide-NH 2 side group is deprotonated, which may lead to other coordination modes. However, within the pH range 9-10, used in the present study, asparagine behaves only as a bidentate ligand, in a similar way to alanine, among other amino acids [8]. The relevant determined stability constants and speciation diagram are presented in Table 1 and Fig. 3.

L-α-Aspartic acid (Asp)
As it follows from the speciation in Fig. 5, the ML 2 L′ heteroligand complex with aspartic acid (Fig. 4a) predominates in basic medium (pH > 7). It may be suggested that in this case, one of the amino acid molecules coordinates the metal via two carboxyl groups and one amino group (in place of equatorial and axial H 2 O). However, the second L molecule forms chelates only via α-COO − and −NH 2 . The remaining carboxyl side group is not able to substitute imidazole from the opposite axial position due to the presence of a much weaker electron-pair donation than the imidazole N3 [16]. In turn, although only one amino acid molecule is involved in the formation of coordinative bonds in the MLL′ ternary complex (Fig. 4b), in this case, donation occurs via all the potential donors: α-COOH, β-COO − and α-NH 2 . As can be seen in the speciation diagram (Fig. 5), the MLL′ complex exists in ca 30 % at pH 6.5-7.0.

L-α-Lysine (Lys)
Three types of heteroligand complexes (MLL′H, ML 2 L′H, ML 2 L′H 2 ) were confirmed in the lysine-containing systems. At higher pH values, the equilibrium set comprises a share of species with an amino acid molecule deprotonated at ε-NH 2 , owing to the proximity of the protonation constant of ε-NH 2 : 11.12 in logarithm (Table 1) and similar IUPAC data under analogous conditions [17]. Thus, the refinement results make it possible to propose three coordination modes (Fig. 6). In all of the species, lysine forms dative bonds with the central ion in the equatorial plane: via-COO − and α-NH 2 . The complexes arise along with deprotonation of ε-NH 3 + (Fig. 6) but this group is not likely to coordinate because an eight-membered ring at the axial position would be an unstable structure. The formation constant of ML 2 L′H 2 becomes very high (Table 1), and its share in solution (up to 60 %) is the highest within the measurable pH range (Fig. 7).

L-α-Histidine (His)
In the cobalt(II)-histidine-imidazole system, both experimental methods confirmed the presence of two heteroligand species: MLL′H and ML 2 L′ (Fig. 8). Histidine is a potentially tetradentate ligand but in the measurable pH range, the imidazole N1 proton (pK 14.29) does not dissociate [18]. It follows from the speciation diagram that the MLL′H complex is formed within pH 4-7 (Fig. 9a). As it has been already suggested by literature CD data [2], at this pH range, histidine contains a protonated imidazole ring, whereas dissociation occurs at the carboxyl and amine groups. These groups take up two of the equatorial sites; the remaining three positions (two equatorial and one axial) are occupied by the solvent molecules H 2 O (as in Fig. 8a). In the ML 2 L′ complex, predominating at pH > 7, the histidine imidazole N3 undergoes deprotonation. Numerous potentiometric, calorimetric and spectroscopic studies [2] carried out for the binary ML 2 cobalt(II)-histidine system have indicated that this complex occurs in solution in the form of an isomer mixture. Hence, analogous to our ML 2 L′ heteroligand complex, there is a possibility of amine and imidazole nitrogen atoms being coordinated in the equatorial positions. Thus, the -COO − group of one of the histidines may be found in the axial position ( Fig. 8b-I).
Another probable form of this complex may occur also when a strongly dative imidazole N3 is coordinated in the axial position, substituting the H 2 O molecule, and then the -COO − group moves to the equatorial site ( Fig. 8b-II). The resulting species distribution (Fig. 9a) indicates a higher maximum share of ML 2 L′ than the protonated MLL′H complex, predominating in the more acidic medium.
The visible absorption spectra, presented by way of example for cobalt(II)-histidine-imidazole ( Fig. 10a), show stepwise dissociation of the heteroligand system to binary complexes which can be attributed to acidification. Finally, the binary complexes decompose to the cobalt(II) aqua-ion of λ max = 512 nm (ε = 4.9), similar to our previous results for l-alanine [8]. For comparison, the literature data [19] referring to Co(H 2 O) 6 2+ are as follows: 515 nm (ε = 4.6). This band corresponds to a ligand field d-d transition T 1g (F) → 4 T 1g (P) in admixture with a shoulder around 475 nm caused by spin forbidden transitions to doublet states. The hypsochromic shift becomes visible when comparing the spectra at higher and lower pH as a result of an exchange of the weaker σ donor (water) to much stronger function groups of the amino acids. Since the molar absorbance coefficients of binary complexes of cobalt with amino acids or imidazole are needed to study the equilibria with heteroligand complexes by Vis, they had to be determined independently prior to the calculations with the heteroligand species. Example absorption spectra of the binary Co(II)-histidine system are shown in Fig. 10b. The complexes of cobalt(II) and the ligand are formed along with alkalization starting from pH ca 3.5. Titration was carried out only to pH 6.12 due to precipitation following hydrolysis of the aquaion. It is important to note that the use of [Co(imid) 2 ] n as the starting compound, as described before, allows heteroligand complexes existing high above pH 6 to be created (cf. speciation in Fig. 9a) and to obtain relevant absorption spectra at pH 8.64 (Fig. 10a). A comparison of the two spectrophotometric titrations shows the differences within pH 5-6 as a result of higher share of the CoL and CoLH species of weaker ligand field power in the absence of imidazole (cf. Fig. 10b, higher shoulders of curves 3 and 4 at ca 530 nm). When comparing the speciations of Fig. 9a, b, it can be seen that the share of CoL is ca 40 % and the share of CoL 2 up to 90 % in the absence of imidazole, whereas in the titrations with [Co(imid) 2 ] n the respective values are 20 and 60 %. Importantly, the absorption spectrum of the free Co(II) aqua-ion show the almost exact shape in Fig. 10a, b, which indicates lack of Co(II) oxidation to Co(III) during the experiments.

Comparison of the stability constants of the heteroligand complexes in the Co II (Himid)(L-α-Amac) n system
It is essential to compare the values of log 10 β mll′h stability constants of the heteroligand complexes Co(II) (Amac) 2 (Himid), which are potential models of dioxygen carriers in solution. Assuming that one of them (Lys) contains the Amac ligand in a protonated AmacH or AmacH 2 form, it was necessary in this case to subtract the protonation constant log 10 β 0101 or log 10 β 0102 from log 10 β 1211 or log 10 β 1212 , respectively. Finally, it may be concluded from Table 1 that the comparable, corresponding stability constants of Co(II)(Amac) 2 (Himid) follow the series: His > Asp > Lys > Ala > Asn = 14.61 > 12.24 > 11.45 (11.65) > 9.94 > 9.70. It may be suggested that the effect of the stacking interaction between the aromatic ring of amino acid and imidazole in the Co II (Himid)(His) is responsible for the highest value among all of the Amac ligands. On the other hand, Co II (Asp) 2 (Himid) is the most favored heteroligand species from the ones with aliphatic side chains, most probably due to coordination of the carboxyl oxygen trans to the axial imidazole N3.
(5) �log 10 β = log 10 β 1111 − log 10 β stat  Table 2 presents the values of the stabilization constants for the four heteroligand complexes. Δlog 10 β was not calculated for histidine because the stability constant of the binary complex containing two protonated amino acids (Table 1) is unavailable. The large differences between experimental and calculated stability constants Δlog 10 β indicate that the heteroligand species are more stable than the binary ones. The heteroligand complex with aspartic acid has the highest value of Δlog 10 β, (6) log 10 β stat = log 10 2 + (1/2)log 10 β 1202 + (1/2)log 10 β 1020 .
suggesting that formation of the binary complex involving two molecules of the tridentate ligand (juxtaposed to the binary species with bidentate alanine, asparagine and protonated lysine) is less favoured than the heteroligand complex with one tridentate ligand. This may be easily explained by that the initial Co II (Himid) moiety has even five available coordination sites that can be occupied by two carboxyl groups and one amino group. Another very important parameter used to compare the stabilization of the heteroligand complexes with their binary system is Δlog 10 K [21]. It is calculated according to Eq. (7) as the difference between the  10 Vis absorption spectra of: a the heteroligand system in a solution containing [Co(imid) 2 ] n and histidine at 1:5 molar ratio (starting from basic solution of pH 8.64; curve 1). C Co = 3.5 × 10 −2 mol L −1 . Curves 2-5 denote the spectra scanned after adding a consecutive portion of acid. pH: 2-6.15; 3-5.09; 4-4.92; 5-4.20. Curve 6-absorption spectrum of the Co(II) aquo-ion; b the binary system in a solution containing Co(II) and histidine at 1:5 molar ratio (starting from acid solution of pH 3.54; curve 2). C Co = 3.5 × 10 −2 mol L −1 . Curves 3-6 denote the spectra scanned after adding a consecutive portion of base. pH: 3-4.61; 4-5.05; 5-6.12; 6-precipitate. Curve 1-absorption spectrum of the Co(II) aquo-ion stability constants for the deprotonated mixed-ligand, Co II (Himid)(AmacH −1 ) and two binary, Co II (Himid) and Co II (AmacH −1 ), complexes: For the complexes containing protonated ligand forms (lysine and histidine), Δlog 10 K is calculated as shown in the Eq. (8) [11]: The parameter Δlog 10 K describes the influence of the bonded primary ligand in the binary complex Co II (Himid) towards an incoming secondary ligand (L) forming a heteroligand complex. The negative values (Table 2) indicate that the mixed-ligand systems are less stable than the binary complexes with one molecule of imidazole or one molecule of amino acid, in contrast to Δlog 10 β, which deals with binary complexes Co II (Himid) 2 and Co II (AmacH −1 ) 2 containing two ligand molecules. More coordination positions are available for bonding the first ligand than the second ligand [21]. An exception is the positive value of Δlog 10 K for the heteroligand complex MLL′H with histidine (Table 2). By comparing the structure of this ligand with that of other amino acids, it can be seen that histidine has an aromatic ring containing N as a donor atom, which affects the stability of the heteroligand complex [21,22]. Similar aromatic ring stacking has been observed in mixedligand complexes formed by two different ligands which contain aromatic rings [23]. At least one of these rings has to be incorporated in a flexible side chain, just as it occurs in the histidine containing MLL′H species. The other ring may also be of the flexible type or it may be rigidly fixed to the metal ion, as is the case with imidazole. Evidently, (7) �log 10 K = log 10 β 1110 − log 10 β 1010 − log 10 β 1100 (8) �log 10 K = log 10 β 1111 − log 10 β 1010 − log 10 β 1101 a stacking interaction occurring between aromatic ring of amino acid and imidazole in the Co II (Himid)(L-α-Amac) system leads to a higher stability of this heteroligand complex than the binary complex with one protonated histidine. The intramolecular ligand-ligand interaction may also be possible between the aliphatic chain of the amino acid and aromatic ring of the second ligand. Qualitative observations found that the extent of the intramolecular interaction in the complexes increases in the following series: aliphatic-aliphatic < aliphatic-aromatic < aromaticaromatic [24]. This accounts for the lower stability of the mixed-ligand complexes containing aliphatic amino acids (negative value of Δlog 10 K) in comparison with the heteroligand complex of the histidine.
Another parameter which enables the stability of the mixed-ligand complexes to be determined is the disproportionation constant log 10 X (Table 2) [11]. Like Δlog 10 β, log 10 X is based on the stability constants of the binary complexes with two ligand molecules (Eq. (9) for deprotonated amino acids and Eq. (10) for protonated lysine): Higher values of log 10 X indicate more stable heteroligand complexes than their binary counterparts. Comparison of the calculated data log 10 X with Δlog 10 β values leads to the same conclusion.

Conclusions
The experimental results make it possible to conclude that mixed-ligand complexes of MLL′ type are present (9) log 10 X = (2log 10 β 1110 − log 10 β 1200 − log 10 β 1020 ) (10) log 10 X = (2log 10 β 1111 − log 10 β 1202 − log 10 β 1020 ) Table 2 Evaluated values of Δlog 10 β, Δlog 10 K, log 10 X used for comparison of the stability of the heteroligand Co II (Himid) (L-α-Amac) n complexes with their parent binary complexes a log 10 β stat = log 10 2 + (1/2)log 10 β 1200 + (1/2) log 10 β 1020 b Δlog 10 β = log 10 β 1110 −log 10 β stat c Δlog 10 K = log 10 β 1110 −log 10 β 1010 −log 10 β 1100 d log 10 X = (2 log 10 β 1110 −log 10 β 1200 −log 10 β 1020 ) e For log 10 β 1111 f log 10 β stat = log 10 2 + (1/2)log 10 β 1202 + (1/2) log 10 β 1020 g Δlog 10 β = log 10 β 1111 −log 10 β stat h Δlog 10 K = log 10 β 1111 −log 10 β 1010 −log 10 β 1101 i log 10 X = (2 log 10 β 1111 −log 10 β 1202 −log 10 β 1020 ) in the equilibrium mixture created by [Co(imid) 2 ] n and Amac already at pH >4-6. On the other hand, the heteroligand ML 2 L′ species, known as the "active complex", as it is able to take up dioxygen in a reversible manner, predominate within the higher pH range and attain their maximum share at pH ~9. Our present findings allow the oxygenation constants to be evaluated in full accordance with the species distribution in solution. Such calculations are required also in our laboratory as part of investigations of artificial bloodsubstituting systems. By knowing the formation constants of the heteroligand ML 2 L′ species, it is possible to compare their stability in solution. For the group of amino acids used in the present work, the highest value of stability constant was found for L-α-histidine with a heterocyclic side ring, which leads to relative high concentration of the "active" ML 2 L′ species in the equilibrium mixture. From among the other Amac ligands with aliphatic side groups, the highest stability constant of ML 2 L′ was evidenced for L-α-aspartic acid. Various methods allow a comparison of the stability of heteroligand complexes with that of the corresponding binary systems. The stabilization constant Δlog 10 β calculated on the basis of the difference between the experimental stability constant for the mixed-ligand complex MLL′ (log 10 β 1110 ) and the constant based on statistical data (log 10 β stat ) indicate that the heteroligand species are more stable than the binary ones. The parameter Δlog 10 K, used to compare the stabilization of the heteroligand complexes with their binary system by showing the difference between the stability constants for the deprotonated mixed-ligand, Co II (Himid)(AmacH −1 ), and two binary complexes, Co II (Himid) and Co II (AmacH −1 ), demonstrates the lower stability of the mixed-ligand complexes containing aliphatic amino acids (negative value of Δlog 10 K) in comparison with the heteroligand complex of the histidine. Also, both the disproportionation constant log 10 X and the Δlog 10 β value indicate that the heteroligand complexes are more stable than their binary counterparts.
Furthermore, it is evident from our studies that excess of amino acid in solution prior to reaction results in an increasing percentage of the Co II (Himid)(Amac) 2 heteroligand species as compared with Co II (Himid)(Amac). The use of amino acid in excess leads also to a rise in the share of the binary cobalt(II)-amino acid compounds together with a decreasing share of binary cobalt(II)imidazole complexes. For all the amino acids involved, greater excesses of amino acid are associated with lower pH values for which the heteroligand complex reaches maximum share.

General potentiometric procedures
The protonation constants of ligands and formation constants of binary complexes was determined by means of a MOLSPIN automatic titration kit (Molspin Ltd, Newcastle-upon-Tyne). A Hamilton Bonaduz AG microsyringe for 250 μL was used with the auto burette. The titrant (0.5 mol L −1 NaOH) was taken from an external flask protected from CO 2 . The measurements were carried out with a combined OSH 10-10 electrode (Metron, Gliwice) in a thermostated vessel at initial volume 4.00 mL, constant temperature 25.0 ± 0.1 °C and ionic strength I = 0.5 mol L −1 (KNO 3 ). Prior to the proper titrations, a two-buffer standardization of the electrode according to [25] was performed, and the measurement cell was then calibrated in the EMF = −log 10 [H + ] scale by strong acid-strong base titration at the same constant temperature and constant ionic strength I = 0.5 mol L −1 (KNO 3 ) according to [26]. The values of standard electromotive force, E 0 (which also takes into account the liquid junction potential) and slope, s from equation E = E 0 − s · 59.16 · (− log 10 [H + ]) were then subsequently inserted in the input files used to evaluate the overall, concentration formation constants.
Potentiometric procedures in determination of Co II (Himid) n and Co II (L-α-Amac) n complexing equilibria under oxygen-free conditions Solutions containing metal and ligand were prepared at three molar L:M ratios (from 2: 1 to 5:1), with exception of lysine (from 3:1 to 7:1) and imidazole (from 5:1 to 10:1). During preparation, the solutions, initially in absence of cobalt, were acidified to a various extent of mineral acid to ligand: asparagine and aspartic acid molar ratio 0.1:1; lysine and histidine 1:1; imidazole 1.1:1. The titrations were carried out under pure argon.

Potentiometric procedures in determination of heteroligand oxygen-free cobalt(II)-L-α-amino acidimidazole complexes under oxygen-free conditions
An isobaric laboratory set was used for pH-metric and volumetric measurements. Prior to each experiment, the glass electrode was standardized with two buffers (pH 4.00 and pH 9.00, Russell pH Ltd) at 25.0 ± 0.1 °C. The thermostated measurement vessel with an aqueous solution of initial volume 30.0 mL contained the amino acid and potassium nitrate to maintain ionic strength I = 0.5 mol L −1 . Prior to the experiments, the solutions of aspartic acid and histidine were alkalized with 0.5 mol L −1 NaOH (molar ratio aspartic acid to base 1:1.2 and histidine to base 1:0.25), whereas the solution of lysine was acidified with 0.5 mol L −1 HNO 3 (molar ratio ligand to mineral acid 1:0.5). The initial pH measured with a PHM 85 precision pH-meter Radiometer (Copenhagen) and combined C2401 electrode ranged within 5-6. A small glass vessel with 0.3 mol of the polymeric [Co(imid) 2 ] n complex (i.e. 0.3 mol of Co and 0.6 mol of imidazole) was hung from a glass rod over the solution surface and then the entity was tightly closed with a silicon stopper and purged with pure argon. During continuous gas flow and constant stirring, the polymer was inserted into the sample and then, after dissolution, each Co(imid) 2 unit could form complexes with the amino acid. As a result of the evolution of one imidazole molecule into solution from each Co(imid) 2 unit, the pH rose to about 9-10. Finally, three solutions of three molar L:M (2:1, 3:1, 5:1 at constant amount of [Co(imid) 2 ] n ) were titrated with 0.5 mol L −1 HNO 3 until pH decreased to ca 4. A change in color from deep-violet to pink was observed during the titration. The titration end point (a= 2) corresponded to neutralization of the total content of 0.6 mol imidazole involved in the Co(imid) 2 unit of the polymeric [Co(imid) 2 ] n complex (Fig. 11). At higher excess of the amino acids containing a third functional group (e.g. for lysine), the end point moved towards higher values.
Spectrophotometric procedures in the determination of Co II (Himid) n and Co II (L-α-Amac) n complexing equilibria under oxygen-free conditions The experiments were carried out by means of a Cary 50 Bio UV-Visible spectrophotometer, slit width 1.5 nm (Varian Pty. Ltd., Australia) equipped with Peltier accessory (temp. 25.0 ± 0.1 °C). Acidified (HNO 3 ) solutions of the ligands and Co(NO 3 ) 2 at ionic strength I = 0.5 mol L −1 (KNO 3 ) were prepared in three molar ratios L:M, corresponding to the potentiometric measurements described before. All the investigations were made within concentration range of Co(NO 3 ) 2 (3.0-6.5) × 10 −2 mol L −1 . The solution of initial volume 2.40 mL was placed in a weighted empty cell, closed by a silicon stopper. Then, after argonation for 15-20 min, the solution was titrated by small aliquots (0.10-0.20 mL) of de-aerated 0.5 mol L −1 NaOH of known density, up to a precipitation caused by hydrolysis of the Co(II) aqua-ion at higher pH [29]. After each aliquot of alkali, the cell was weighed before recording the UV/Vis spectrum.

Spectrophotometric studies of the dissociation of the heteroligand cobalt(II)-L-α-amino acid-imidazole complexes
Solutions were prepared with a Co(imid) 2 to amino acid molar ratio of 1:2, 1:3 or 1:5. The total concentration of cobalt amounted to 3.5 × 10 −2 mol L −1 . Appropriate amounts of amino acid, polymer and potassium nitrate (I = 0.5 mol L −1 ) were weighed directly in a silica cell. The cell was closed with a silicon stopper, rinsed with pure argon and then the necessary volume of argonated water was added to make the sample up to 2.40 mL. Fig. 11 Representative titrations of the [Co(imid) 2 ] n -L-α-lysine system under argon. C Co = 0.01 mol L −1 . Curves correspond to various amino acid-to-cobalt ratios Initial solutions of some amino acids were alkalized with 0.5 mol L −1 NaOH (aspartic acid and histidine) or acidified with 0.5 mol L −1 HNO 3 (lysine), in order to attain an initial pH ~9. The solution inside the cell was then titrated with portions of argonated 0.5 mol L −1 HNO 3 of known density. Each dose of the titrant amounted to 0.10-0.20 mL. The cell with a silicon stopper was weighed after each titration step and then the UV/Vis absorption curve was taken by the spectrophotometer at 25.0 ± 0.1 °C.

Calculations
Following the potentiometric titrations of amino acids and imidazole in the absence of the metal, of amino acids and imidazole along with Co(II) and then of amino acids in presence of the [Co(imid) 2 ] n polymer, all the formation constants were determined consecutively using the Hyperquad 2008 fitting procedure [27] under the same temperature and medium. Goodness of fit was controlled by the objective function U = Σ i=1,m W i r i 2 , where W is the weight and r is the residual, equal to the difference between observed and calculated values of the electromotive force EMF (E exp -E theoret ), m-number of experimental points, n-number of refined parameters. The weighting factor W i is defined as the reciprocal of the estimated variance of measurements in dependence on the estimated variances of EMF and volume readings. The normalized sum of squared residuals, σ = U/(m−n) was compared with a χ 2 (Chi squared) test of randomness at a number of degrees of freedom equal to m−n. Our value for the ionic product of water under the corresponding conditions, pK w = 13.94, was in close accordance with the literature 13.97 [17]. For each system, data from different titrations was taken together in a comprehensive file. Graphical simulations of speciation diagrams on the basis of calculated constants were created using HySS 2009 [28]. The equilibrium models with potentiometrically-determined formation constants were consecutively confirmed spectrophotometrically by using HypSpec (part of Hyperquad suite, Protonic Software). The HypSpec program resolves a linear equation system based on Lambert-Beer's law, using the spectrophotometric data and known (or estimated) equilibrium constants, yielding the molar extinction coefficients of individual absorbing species. Then, optionally the program can be used to refine the estimated equilibrium constants from spectrophotometric data.