Thermodynamics of the binding of Streptomyces subtilisin inhibitor to alpha-chymotrypsin

The binding of Streptomyces subtilisin inhibitor (SSI) to alpha-chymotrypsin (CT) (EC 3.4.21.1) was studied by isothermal and differential scanning calorimetry at pH 7.0. Thermodynamic quantities for the binding of SSI to the enzyme were derived as functions of temperature from binding constants (S. Matsumori, B. Tonomura, and K. Hiromi, private communication) and isothermal calorimetric experiments at 5-30 degrees C. At 25 degrees C, the values are delta G degrees b = -29.9 kJ mol-1, delta Hb = +18.7 (+/- 1.3) kJ mol-1, delta S degrees b = +0.16 kJ K-1 mol-1, and delta C p,b = -1.08 (+/- 0.11) kJ mol-1. The binding of SSI to CT is weak compared with its binding to subtilisin [Uehara, Y., Tonomura, B., & Hiromi, K. (1978) J. Biochem. (Tokyo) 84, 1195-1202; Takahashi, K., & Fukada, H. (1985) Biochemistry 24, 297-300]. This difference is due primarily to a less favorable enthalpy change in the formation of the complex with CT. The hydrophobic effect is presumably the major source of the entropy and heat capacity changes which accompany the binding process. The unfolding temperature of the complex is about 7 degrees C higher than that of the free enzyme. The enthalpy and the heat capacity changes for the unfolding of CT were found to be 814 kJ mol-1 and 17.3 kJ K-1 mol-1 at 49 degrees C. The same quantities for the unfolding of the SSI-CT complex are 1183 kJ mol-1 and 39.2 kJ K-1 mol-1 at 57 degrees C.     

High-pressure effect on the equilibrium and kinetics of cyanide binding to chloroperoxidase

The kinetics of cyanide binding to chloroperoxidase were studied using a high-pressure stopped-flow technique at 25 degrees C and pH 4.7 in a pressure range from 1 to 1000 bar. The activation volume change for the association reaction is delta V not equal to + = -2.5 +/- 0.5 ml/mol. The total reaction volume change, determined from the pressure dependence of the equilibrium constant, is delta V degrees = -17.8 +/- 1.3 ml/mol. The effect of temperature was studied at 1 bar yielding delta H not equal to + = 29 +/- 1 kJ/mol, delta S not equal to + = -58 +/- 4 J/mol per K. Equilibrium studies give delta H degrees = -41 +/- 3 kJ/mol and delta S degrees = -59 +/- 10 J/mol per K. Possible contributions to the binding process are discussed: changes in spin state, bond formation and conformation changes in the protein. An activation volume analog of the Hammond postulate is considered.     

Time-resolved absorption and photothermal measurements with recombinant sensory rhodopsin II from Natronobacterium pharaonis

Purified wild-type sensory rhodopsin II from Natronobacterium pharaonis (pSRII-WT) and its histidine-tagged analog (pSRII-His) were studied by laser-induced optoacoustic spectroscopy (LIOAS) and flash photolysis with optical detection. The samples were either dissolved in detergent or reconstituted into polar lipids from purple membrane (PML). The quantum yield for the formation of the long-lived state M(400) was determined as Phi(M) = 0.5 +/- 0.06 for both proteins. The structural volume change accompanying the production of K(510) as determined with LIOAS was DeltaV(R,1) /= Phi(M), indicating that the His tag does not influence this early step of the photocycle. The medium has no influence on DeltaV(R,1), which is the largest so far measured for a retinal protein in this time range (<10 ns). This confirms the occurrence of conformational movements in pSRII for this step, as previously suggested by Fourier transform infrared spectroscopy. On the contrary, the decay of K(510) is an expansion in the detergent-dissolved sample and a contraction in PML. Assuming an efficiency of 1.0, DeltaV(R,2) = -3 ml/mol for pSRII-WT and -4.6 ml/mol for pSRII-His were calculated in PML, indicative of a small structural difference between the two proteins. The energy content of K(510) is also affected by the tag. It is E(K) = (88 +/- 13) for pSRII-WT and (134 +/- 11) kJ/mol for pSRII-His. A slight difference in the activation parameters for K(510) decay confirms an influence of the C-terminal His on this step. At variance with DeltaV(R,1), the opposite sign of DeltaV(R,2) in detergent and PML suggests the occurrence of solvation effects on the decay of K(510), which are probably due to a different interaction of the active site with the two dissolving media.     

High pressure NMR reveals a variety of fluctuating conformers in beta-lactoglobulin

High pressure 1H/15N two-dimensional NMR spectroscopy has been used to study conformational fluctuation in bovine beta-lactoglobulin at pH 2.0 and 36 degrees C. Pressure dependencies of 1H and 15N chemical shifts and cross-peak intensities were analyzed at more than 80 independent atom sites between 30 and 2000 bar. Unusually large and non-linear chemical shift pressure dependencies are found for residues centering in the hydrophobic core region, suggesting the existence of low-lying excited native states (N') of the protein. Measurement of 1H/15N cross-peak intensities at individual amide sites as a function of pressure suggests that unfolding events occur independently in two sides of the beta-barrel, i.e. the hydrophobic core side (betaF-H) (producing I2) and the non-core side (betaB-E) (producing I1). At 1 bar the stability is higher for the core region (DeltaG0 = 6.5(+/-2.0) kcal/mol) than for the non-core region (4.6(+/-1.3) kcal/mol), but at high pressure the stability is reversed due to a larger DeltaV value of unfolding for the core region (90.0(+/-35.2) ml/mol) than that for the non-core region (57.4(+/-14.4) ml/mol), possibly due to an uneven distribution of cavities. The DeltaG0 profile along the amino acid sequence obtained from the pressure experiment is found to coincide well with that estimated from hydrogen exchange experiments. Altogether, the high pressure NMR experiment has revealed a variety of fluctuating conformers of beta-lactoglobulin, notably N, N', I1, I2 and the totally unfolded conformer U. Fluctuation of N to I1 and I2 conformers with open barrel structures could be a common design of lipocalin family proteins which bind various hydrophobic compounds in its barrel structure.     

Effect of temperature on the microaerophilic metabolism of Pachysolen tannophilus

Xylitol production by Pachysolen tannophilus from detoxified hemicellulose hydrolysate was investigated under microaerophilic conditions at temperature ranging from 20 to 40 degrees C. A carbon balance previously proposed to study the influence of pH was used in this work to evaluate the amounts of carbon source (xylose) utilised in competitive metabolic ways: reductive production of xylitol, ethanol fermentation and respiration. At pH = 5.5 more than 83% of xylose was reduced to xylitol at 25 < T < 30 degrees C, whereas respiration became the main process at low temperature (71.1% at 20 degrees C). At high temperature, on the other hand, all three processes took place at comparable rate, consuming at 40 degrees C nearly the same percentage of carbon source (33-35%). Finally, the maximum values of volumetric productivity calculated at variable temperature were used to estimate the main thermodynamic parameters of both xylitol production (Deltah* = 105.4 kJ mol(-1); Deltas* = -13.2 J mol(-1) K(-1)) and thermal deactivation (Deltah*(D) = 210.5 kJ mol(-1); Deltas*(D) = 3.63 J mol(-1) K(-1)).     

Maltose-binding protein from the hyperthermophilic bacterium Thermotoga maritima: stability and binding properties

Recombinant maltose-binding protein from Thermotoga maritima (TmMBP) was expressed in Escherichia coli and purified to homogeneity, applying heat incubation of the crude extract at 75 degrees C. As taken from the spectral, physicochemical and binding properties, the recombinant protein is indistinguishable from the natural protein isolated from the periplasm of Thermotoga maritima. At neutral pH, TmMBP exhibits extremely high intrinsic stability with a thermal transition >105 degrees C. Guanidinium chloride-induced equilibrium unfolding transitions at varying temperatures result in a stability maximum at approximately 40 degrees C. At room temperature, the thermodynamic analysis of the highly cooperative unfolding equilibrium transition yields DeltaG(N-->U)=100(+/-5) kJ mol(-1 )for the free energy of stabilization. Compared to mesophilic MBP from E. coli as a reference, this value is increased by about 60 kJ mol(-1). At temperatures around the optimal growth temperature of T. maritima (t(opt) approximately 80 degrees C), the yield of refolding does not exceed 80 %; the residual 20 % are misfolded, as indicated by a decrease in stability as well as loss of the maltose-binding capacity. TmMBP is able to bind maltose, maltotriose and trehalose with dissociation constants in the nanomolar to micromolar range, combining the substrate specificities of the homologs from the mesophilic bacterium E. coli and the hyperthermophilic archaeon Thermococcus litoralis. Fluorescence quench experiments allowed the dissociation constants of ligand binding to be quantified. Binding of maltose was found to be endothermic and entropy-driven, with DeltaH(b)=+47 kJ mol(-1) and DeltaS(b)=+257 J mol(-1) K(-1). Extrapolation of the linear vant'Hoff plot to t(opt) resulted in K(d) approximately 0.3 microM. This result is in agreement with data reported for the MBPs from E. coli and T. litoralis at their respective optimum growth temperatures, corroborating the general observation that proteins under their specific physiological conditions are in corresponding states.     

Recording of blue light-induced energy and volume changes within the wild-type and mutated phot-LOV1 domain from Chlamydomonas reinhardtii

The time-resolved thermodynamics of the flavin mononucleotide (FMN)-binding LOV1 domain of Chlamydomonas reinhardtii phot (phototropin homolog) was studied by means of laser-induced optoacoustic spectroscopy. In the wild-type protein the early red-shifted intermediate LOV(715) exhibits a small volume contraction, DeltaV(715) = -1.50 ml/mol, with respect to the parent state. LOV(715) decays within few micro s into the covalent FMN-Cys-57 adduct LOV(390), that shows a larger contraction, DeltaV(390) = -8.8 ml/mol, suggesting a loss of entropy and conformational flexibility. The high energy content of LOV(390), E(390) = 180 kJ/mol, ensures the driving force for the completion of the photocycle and points to a strained photoreceptor conformation. In the LOV-C57S mutated protein the photoadduct is not formed and DeltaV(390) is undetected. Large effects on the measured DeltaVs are observed in the photochemically competent R58K and R58K/D31Q mutated proteins, with DeltaV(390) = -2.0 and -1.9 ml/mol, respectively, and DeltaV(715) approximately 0. The D31Q and D31N substitutions exhibit smaller but well-detectable effects. These results show that the photo-induced volume changes involve the protein region comprising Arg-58, which tightly interacts with the FMN phosphate group.     

Thermal denaturations of staphylococcal nuclease wild-type and mutants monitored by fluorescence and circular dichroism are similar: lack of evidence for other than a two state thermal denaturation

It is unclear whether the thermal denaturation of staphylococcal nuclease is a two state, three state, or variable two state process. The thermal denaturation of wild-type staphylococcal nuclease was followed by tryptophan fluorescence and circular dichroism signal at 222 nm, forty-two and fourteen times, respectively. Analysis of this data using a simple two state model gave melting temperatures of 53.0+/-0.4 degrees C (fluorescence) and 52.7+/-0.6 degrees C (CD) and van't Hoff enthalpies of 82.4+/-2.6 kcal/mol and 88.6+/-4.2 kcal/mol. Ninety-seven mutants also had these parameters determined by both fluorescence and CD. The average difference between the melting temperatures was 1.05+/-0.75 degrees and the average difference between van't Hoff enthalpies was 1.6+/-4.8 kcal/mol. These very similar results for the two spectroscopic probes of structure are discussed in the context of the different models that have been proposed for nuclease denaturation. It is concluded, for most nuclease variants, that the errors introduced by a two state assumption are negligible and either virtually all helical structure is lost in any initial unfolding event or any intermediate must have low stability.     

The energetics of HMG box interactions with DNA: thermodynamic description of the target DNA duplexes

The thermal properties and energetics of formation of 10, 12 and 16 bp DNA duplexes, specifically interacting with the HMG box of Sox-5, have been studied by isothermal titration calorimetry (ITC) and differential scanning calorimetry (DSC). DSC studies show that the partial heat capacity of these short duplexes increases considerably prior to the cooperative process of strand separation. Direct extrapolation of the pre and post-transition heat capacity functions into the cooperative transition zone suggests that unfolding/dissociation of strands results in no apparent heat capacity increment. In contrast, ITC measurements show that the negative enthalpy of complementary strand association increases in magnitude with temperature rise, implying that strand association proceeds with significant decrease of heat capacity. Furthermore, the ITC-measured enthalpy of strand association is significantly smaller in magnitude than the enthalpy of cooperative unfolding measured by DSC. To resolve this paradox, the heat effects upon heating and cooling of the separate DNA strands have been measured by DSC. This showed that cooling of the strands from 100 degrees C to -10 degrees C proceeds with significant heat release associated with the formation of intra and inter-molecular interactions. When the enthalpy of residual structure in the strands and the temperature dependence of the heat capacity of the duplexes and of their unfolded strands have been taken into account, the ITC and DSC results are brought into agreement. The analysis shows that the considerable increase in heat capacity of the duplexes with temperature rise is due to increasing fluctuations of their structure (e.g. end fraying and twisting) and this effect obscures the heat capacity increment resulting from the cooperative separation of strands, which in fact amounts to 200(+/-40) JK(-1) (mol bp)(-1). Using this heat capacity increment, the averaged standard enthalpy, entropy and Gibbs energy of formation of fully folded duplexes from fully unfolded strands have been determined at 25 degrees C as -33(+/-2) kJ (mol bp)(-1), -93(+/-4) J K(-1) (mol bp)(-1) and -5.0(+/-0.5) kJ (mol bp)(-1), respectively.     

Unfolding thermodynamics of Trp-cage, a 20 residue miniprotein, studied by differential scanning calorimetry and circular dichroism spectroscopy

Small proteins provide convenient models for computational studies of protein folding and stability, which are usually compared with experimental data. Until recently, the unfolding of Trp-cage was considered to be a two-state process. However, no direct experimental evidence for this has been presented, and in some cases, the contrary has been suggested. To elucidate a detailed unfolding mechanism, we studied the thermodynamics of unfolding of Trp-cage by differential scanning calorimetry (DSC) and circular dichroism (CD) spectroscopy. The observation that at low temperatures only approximately 90-95% of Trp-cage exists in the native conformation presented an analytical challenge. Nevertheless, it was found that the DSC and CD data can be fitted simultaneously to the same set of thermodynamic parameters. The major uncertainty in such a global fit is the heat capacity change upon unfolding, DeltaCp. This can be circumvented by obtaining DeltaCp directly from the difference between heat capacity functions of the native and unfolded states. Using such an analysis it is shown that Trp-cage unfolding can be represented by a two-state model with the following thermodynamic parameters: Tm = 43.9 +/- 0.8 degrees C, DeltaH(Tm) = 56 +/- 2 kJ/mol, DeltaCp = 0.3 +/- 0.1 kJ/(mol.K). Using these thermodynamic parameters it is estimated that Trp-cage is marginally stable at 25 degrees C, DeltaG(25 degrees C) = 3.2 +/- 0.2 kJ/mol, which is only 30% more than the thermal fluctuation energy at this temperature.     

Pressure equilibrium and jump study on unfolding of 23-kDa protein from spinach photosystem II

Pressure-induced unfolding of 23-kDa protein from spinach photosystem II has been systematically investigated at various experimental conditions. Thermodynamic equilibrium studies indicate that the protein is very sensitive to pressure. At 20 degrees C and pH 5.5, 23-kDa protein shows a reversible two-state unfolding transition under pressure with a midpoint near 160 MPa, which is much lower than most natural proteins studied to date. The free energy (DeltaG(u)) and volume change (DeltaV(u)) for the unfolding are 5.9 kcal/mol and -160 ml/mol, respectively. It was found that NaCl and sucrose significantly stabilize the protein from unfolding and the stabilization is associated not only with an increase in DeltaG(u) but also with a decrease in DeltaV(u). The pressure-jump studies of 23-kDa protein reveal a negative activation volume for unfolding (-66.2 ml/mol) and a positive activation volume for refolding (84.1 ml/mol), indicating that, in terms of system volume, the protein transition state lies between the folded and unfolded states. Examination of the temperature effect on the unfolding kinetics indicates that the thermal expansibility of the transition state and the unfolded state of 23-kDa protein are closer to each other and they are larger than that of the native state. The diverse pressure-refolding pathways of 23-kDa protein in some conditions were revealed in pressure-jump kinetics.     

Stability of recombinant Lys25-ribonuclease T1

The conformational stability of recombinant Lys25-ribonuclease T1 has been determined by differential scanning microcalorimetry (DSC), UV-monitored thermal denaturation measurements, and isothermal Gdn.HCl unfolding studies. Although rather different extrapolation procedures are involved in calculating the Gibbs free energy of stabilization, there is fair agreement between the delta G degrees values derived from the three different experimental techniques at pH 5, theta = 25 degrees C: DSC, 46.6 +/- 2.1 kJ/mol; UV melting curves, 48.7 +/- 5 kJ/mol; Gdn.HCl transition curves, 40.8 +/- 1.5 kJ/mol. Thermal unfolding of the enzyme is a reversible process, and the ratio of the van't Hoff and calorimetric enthalpy, delta HvH/delta Hcal, is 0.97 +/- 0.06. This result strongly suggests that the unfolding equilibrium of Lys25-ribonuclease T1 is adequately described by a simple two-state model. Upon unfolding the heat capacity increases by delta Cp degrees = 5.1 +/- 0.5 kJ/(mol.K). Similar values have been found for the unfolding of other small proteins. Surprisingly, this denaturational heat capacity change practically vanishes in the presence of moderate NaCl concentrations. The molecular origin of this effect is not clear; it is not observed to the same extent in the unfolding of bovine pancreatic ribonuclease A, which was employed in control experiments. NaCl stabilizes Lys25-ribonuclease T1. The transition temperature varies with NaCl activity in a manner that suggests two limiting binding equilibria to be operative. Below approximately 0.2 M NaCl activity unfolding is associated with dissociation of about one ion, whereas above that concentration about four ions are released in the unfolding reaction.(ABSTRACT TRUNCATED AT 250 WORDS)     

Effects of temperature,inoculum size and starch hydrolyzate concentration on butanediol production by Bacillus licheniformis

An optimization study has been performed on 2,3-butanediol production by Bacillus licheniformis NCIMB 8059 from different carbon sources (glucose, sucrose and cornstarch hydrolyzate), alternately varying temperature (34相似文献   

Energetics of sequence-specific protein-DNA association: conformational stability of the DNA binding domain of integrase Tn916 and its cognate DNA duplex

Sequence-specific DNA recognition by bacterial integrase Tn916 involves structural rearrangements of both the protein and the DNA duplex. Energetic contributions from changes of conformation, thermal motions and soft vibrational modi of the protein, the DNA, and the complex significantly influence the energetic profile of protein-DNA association. Understanding the energetics of such a complicated system requires not only a detailed calorimetric investigation of the association reaction but also of the components in isolation. Here we report on the conformational stability of the integrase Tn916 DNA binding domain and its cognate 13 base pair target DNA duplex. Using a combination of temperature and denaturant induced unfolding experiments, we find that the 74-residue DNA binding domain is compact and unfolds cooperatively with only small deviation from two-state behavior. Scanning calorimetry reveals an increase of the heat capacity of the native protein attributable to increased thermal fluctuations. From the combined calorimetric and spectroscopic experiments, the parameters of protein unfolding are T(m) = 43.8 +/- 0.3 degrees C, DeltaH(m) = 255 +/- 18 kJ mol(-1), DeltaS(m) = 0.80 +/- 0.06 kJ mol(-1), and DeltaC(p) = 5.0 +/- 0.8 kJ K(-1) mol(-1). The DNA target duplex displays a thermodynamic signature typical of short oligonucleotide duplexes: significant heat absorption due to end fraying and twisting precedes cooperative unfolding and dissociation. The parameters for DNA unfolding and dissociation are DeltaH(m) = 335 +/- 4 kJ mol(-1) and DeltaC(p) = 2.7 +/- 0.9 kJ K(-(1) mol(-1). The results reported here have been instrumental in interpreting the thermodynamic features of the association reaction of the integrase with its 13 base pair target DNA duplex reported in the accompanying paper [Milev et al. (2003) Biochemistry 42, 3481-3491].     

Specific DNA binding by the homeodomain Nkx2.5(C56S): detection of impaired DNA or unfolded protein by isothermal titration calorimetry

Titrations of specific 18-bp duplex DNA with the cardiac-specific homeodomain Nkx2.5(C56S) have utilized an ultrasensitive isothermal titration calorimeter (ITC). As the free DNA nears depletion, we observe large apparent decreases in the binding enthalpy when the DNA is impaired or when the temperature is sufficiently high to produce some unfolding of the free protein. Either effect can be attributed to refolding of the biopolymer that occurs as a result of stabilization due to the large favorable change in free energy on the homeodomain binding to DNA (-49.4 kJ/mol at 298 K). In either case, thermodynamic parameters obtained in such ITC experiments are unreliable. By using a lower temperature (85 vs. 95 degrees C) during the annealing of complementary DNA strands, damage of the 18-bp duplex DNA (T(m) = 72 degrees C) is avoided, and titrations with the homeodomain are normal at temperatures from 10 to 40 degrees C when >95% of the protein is folded. Under the latter conditions, the heat capacity plot is linear with a DeltaC(p) value of -0.80 +/- 0.03 kJ K(-1) mol(-1), which is more negative than that calculated from the burial of solvent accessible surface areas (-0.64 +/- 0.05 kJ K(-1) mol(-1)), consistent with water structures being at the protein-DNA interfaces.     

Effects of chaotropic and kosmotropic cosolvents on the pressure-induced unfolding and denaturation of proteins: an FT-IR study on staphylococcal nuclease

FT-IR spectroscopy was used to study the effects of various chaotropic and kosmotropic cosolvents (glycerol, sucrose, sorbitol, K(2)SO(4), CaCl(2), and urea) on the secondary structure and thermodynamic properties upon unfolding and denaturation of staphylococcal nuclease (Snase). The data show that the different cosolvents have a profound effect on the denaturation pressure and the Gibbs free energy (DeltaG(o)) and volume (DeltaV(o) change of unfolding. Moreover, by analysis of the amide I' infrared bands, conformational changes of the protein upon unfolding in the different cosolvents have been determined. An increase, a reduction, or an independence of the volume change of unfolding is observed, depending on the type of cosolvent, which can at least in part be attributed to the formation of a different unfolded state structure of the protein. The data are compared with the corresponding thermodynamic values of DeltaV(o) for the temperature-induced unfolding process of Snase as obtained by pressure perturbation calorimetry, and significant differences are observed and discussed.     

An aggregation-prone intermediate species is present in the unfolding pathway of the monomeric portal protein of bacteriophage P22: implications for portal assembly

The head of the P22 bacteriophage is interrupted by a unique dodecameric portal vertex that serves as a conduit for the entrance and exit of the DNA. Here, the in vitro unfolding/refolding processes of the portal protein of P22 were investigated at different temperatures (1, 25, and 37 degrees C) through the use of urea and high hydrostatic pressure (HHP) combined with spectroscopic techniques. We have characterized an intermediate species, IU, which forms at 25 degrees C during unfolding or refolding of the portal protein in 2-4 M urea. IU readily forms amorphous aggregates, rendering the folding process irreversible. On the other hand, at 1 degrees C, a two-state process is observed (DeltaGf = -2.2 kcal/mol). When subjected to HHP at 25 or 37 degrees C, the portal monomer undergoes partial denaturation, also forming an intermediate species, which we call IP. IP also tends to aggregate but, differently from IU, aggregates into a ring-like structure as seen by size-exclusion chromatography and electron microscopy. Again, at 1 degrees C the unfolding induced by HHP proved to be reversible, with DeltaGf = -2.4 kcal/mol and DeltaV = 72 mL/mol. Interestingly, at 25 degrees C, the binding of the hydrophobic probe bis-ANS to the native portal protein destabilizes it and completely blocks its aggregation under HHP. These data are relevant to the process by which the portal protein assembles into dodecamers in vivo, since species such as IP must prevail over IU in order to guarantee the proper ring formation.     

Pressure dependence of the photocycle kinetics of bacteriorhodopsin

The pressure dependence of the photocycle kinetics of bacteriorhodopsin from Halobacterium salinarium was investigated at pressures up to 4 kbar at 25 degrees C and 40 degrees C. The kinetics can be adequately modeled by nine apparent rate constants, which are assigned to irreversible transitions of a single relaxation chain of nine kinetically distinguishable states P(1) to P(9). All states except P(1) and P(9) consist of two or more spectral components. The kinetic states P(2) to P(6) comprise only the two fast equilibrating spectral states L and M. From the pressure dependence, the volume differences DeltaV(o)(LM) between these two spectral states could be determined that range from DeltaV(o)(LM) = -11.4 +/- 0.7 ml/mol (P(2)) to DeltaV(o)(LM) = 14.6 +/- 2.8 mL/mol (P(6)). A model is developed that explains the dependence of DeltaV(o)(LM) on the kinetic state by the electrostriction effect of charges, which are formed and neutralized during the L/M transition.     

Breakdown kinetics of the tri-chromium(III) oxo acetate cluster ([Cr(3)O(OAc)(6)]+) with some ligands of biological interest

Kinetics for the breakdown of the trinuclear chromium acetate cluster, [Cr(3)O(OAc)(6)](+), with a series of monoprotic and diprotic ligands in weakly acidic aqueous media (pH approximately 4 or approximately 5) have been investigated spectrophotometrically at 40-60 degrees C. The results point to an ion-pair equilibrium as the first step followed by associative interchange mechanism forming the mononuclear product of the reaction. Pseudo-first-order rates were determined from absorbance data and associated activation parameters were calculated using the Eyring equation. Enthalpy and entropy terms of the reactions (e.g., histidine, DeltaH(double dagger) = 75 +/- 15 kJ mol(-1), DeltaS(double dagger) = -130 +/- 25 J K(-1) mol(-1); lactic acid, DeltaH(double dagger) = 66 +/- 13 kJ mol(-1), DeltaS(double dagger) = -155 +/- 30 J K(-1) mol(-1); glycine, DeltaH(double dagger) = 31 +/- 6 kJ mol(-1), DeltaS(double dagger) = -225 +/- 45 J K(-1) mol(-1)) are consistent with an associative interchange (I(a)) mechanism, and produce a linear isokinetic plot (slope = 50 degrees C). Rates and activation parameters are comparable to those of substitution reactions of the chromium(III) hexaaqua cation. Other ligands studied included malonic acid and the amino acid, aspartic acid. Observed rates are faster than water exchange rates, but typically slower than anion substitution rates, and indicate that trinuclear chromium(III) clusters are expected to be kinetically stable in neutral to slightly acidic conditions.