Reversible linkage isomerization of pentaamminecobalt(III) complexes of urea and its N-methyl derivatives

The (NH₃)₅CoOC(NH₂)₂³⁺ ion is consumed in water according to the rate law k(obs.) = k₁ + k₂[OH⁻], where k₁ = 4.0 × 10⁻⁵ s⁻¹ and k₂ = 14.2 M⁻¹ s⁻¹ (0–0.1 M [OH⁻];μ = 1.1 M, NaClO₄, 25 °C). A hitherto unrecognized intramolecular O- to N- linkage isomerization reaction has been detected. In strongly acid solution only aquation to (NH₃)₅CoOH₂³⁺ is observed, but in 0.1–1.0 M [OH⁻], 7% of the directly formed products is the urea-N complex (NH₃)₅CoNHCONH₂²⁺ which has been isolated. In the neutral pH region a much greater proportion (25%) of the products is the urea-N species. These results are interpreted in terms of an urea-O to urea-N linkage isomerization reaction competing with hydrolysis for both spontaneous (k₁) and base-catalyzed (k₂) pathways; the rearrangement is not observed in strongly acidic solution (pH ⩽ 1) because the protonated N-bonded isomer (pK′_a ≈ 3) is unstable with respect to the O-bonded form. The appearance of the isomerization pathway as the pH is raised in the 0–6 region is commensurate with a rate increase which cannot be attributed to a contribution from the base catalysis term k₂[OH⁻]. It is argued that this observation establishes, for the spontaneous pathway, that hydrolysis and linkage isomerization are separate reaction pathways — there is no common intermediate. The product distribution and rate data lead to the complete rate law, k(obs.) = k₁ + k₂[OH⁻] = (k_s + k_ON) + (k_OH + k′_ON) [OH⁻] for the reactions of the O-bonded isomers, where k_s, k_OH are the specific rates for hydrolysis, and k_ON, k′_ON are the specific rates for O- to N-linkage isomerization, by spontaneous and base-catalyzed pathways respectively; k_ON = 1.3 × 10⁻⁵ s⁻¹ and k′_ON = 1.1 M⁻¹ s⁻¹ (μ = 1.0 M, NaClO₄, 25 °C). The O- to N- linkage isomerization has been observed also for complexes of N-methylurea, N,N-dimethylurea and N-phenylurea, but not for the N,N′-dimethylurea species. There is an approximately statistical relationship among the data for −NH₂ capture (versus H₂O), while −NHR and −NR₂ do not compete with water as nucleophiles for Co(III) in either the spontaneous or base-catalyzed hydrolysis processes. For each urea-O complex, O- to N-isomerization is a more significant parallel reaction in the spontaneous as opposed to the base-catalyzed pathway. This is interpreted as being indicative of more associative character in the spontaneous route to products, a conclusion supported by other evidence. Some activation parameter data have been recorded and the effect of the N-substitution on the rates of solvolysis (H₂O, Me₂SO) is discussed. The urea-N complexes have been isolated as their deprotonated forms, [(NH₃)₅CoNHCONRR′](ClO₄)₂·xH₂O (R,R′ = H, CH₃). They are kinetically inert in neutral to basic solution but in acid they protonate (H₂O, pK′_a 2–3; μ = 1.0 M, 25 °C) and then isomerize rapidly back to their O-bonded forms. Some solvolysis accompanies this N- to O-rearrangement in H₂O and Me₂SO. Specific rates and activation parameters are reported. The kinetic data follow a rate law of the form k_NO(obs.) = (k + k_NO)[H⁺]/(K′_a + [H⁺]) and the active species in the reaction is the protonated form; k, k_NO are the specific rates for hydrolysis and isomerization, respectively. Proton NMR data establish that the site of protonation (in Me₂SO) is the cobalt-bound nitrogen atom. For the unsubstituted urea species (NH₃)₅CoNH₂CONH₂³⁺, diastereotopic exo-NH₂ protons arising from restricted rotation about the CN bond are observed. The relevance to the mechanism of the linkage isomerization process is considered. ¹³C and ¹H NMR and electronic absorption spectral data are presented, and distinctions between linkage isomers and the solution structures (electronic and conformational) are discussed. The urea-N/urea-O complex equilibrium is governed by the relation K′_NO(obs.) = K′_NO[H⁺]/[H⁺](K′_a), where K′_NO is the equilibrium constant = [(NH₃₅Co(urea-O)³⁺]/[(NH₃)₅Co(urea-N)³⁺]. Values for K′_NO(=k_NO/k_ON = 260 and pK′_a ≈ 3 for the NH₂CONH₂ system are consistent with the stability of the N-isomer in feebly acidic to basic solution (e.g. pH 6, K′_NO(obs.) = 2.6 × 10⁻²) and instability in acid solution (e.g. pH 1, K′_NO(obs.) = 240). The equilibrium data for this and other urea complexes of (NH₃)₅Co(III) are contrasted with the result for the analogous Rh(III)NH₂CONH₂ system K′_NO ≈ 1).     

Chemical stability of prostacyclin (PGI2) in aqueous solutions

The rate constant for the hydrolysis of prostacyclin (PGI₂) to 6-keto-PGF_1α was measured by monitoring the UV spectral change, over a pH range 6 to 10 at 25°C and the total ionic strength of 0.5 M. The first-order rate constant (k_obs) extrapolated to zero buffer concentration follows an expression, k_obs = k_H+ (H+), where k_H+ is a second-order rate constant for the specific acid catalyzed hydrolysis. The value of k_H+ obtained (3.71 × 10⁴ sec⁻¹ M⁻¹) is estimated approximately 700-fold greater than a k_H+ value expected from the hydrolysis of other vinyl ethers. Such an unusually high reactivity of PGI₂ even for a vinyl ether is attributed to a possible ring strain release that would occur upon the rate controlling protonation of C₅. A Brønsted slope (α) of 0.71 was obtained for the acid (including H₃O+) catalytic constants, from which a pH independent first-order rate constant for the spontaneous hydrolysis (catalyzed by H₂O as a general acid) was estimated to be 1.3 × 10⁻⁶ sec⁻¹. An apparent activation energy (E_a) of 11.85 Kcal/mole was obtained for the hydrolysis at pH 7.48, from which a half-life of PGI₂ at 4°C was estimated to be approximately 14.5 min. when the total phosphate concentration is 0.165 M (cf. 3.5 min. at 25°C).     

Metal complexes of cyclic diamines,dissociation kinetics of bis(1,5-diazacyclo-octane)nickel(II) in acidic and basic solution,and electrochemical studies

The preparation of the planar yellow [Ni([8]aneN₂)₂](ClO₄)₂ is described. The complex dissociates in basic solution, with rate = k_OH[NiL][OH^?] (L = 1,5-diazacyclo-octane). At 25 °C, k_OH = 4.5 x 10^?2 M^?1 s^?1 and the corresponding activation parameters are ΔH^≠ = 69.2 kJ mol^?1 and ΔS₂₉₈^≠ = ?38.6 J K^?1 mol^?1. Acid catalysed dissociation in quite slow even in strongly acidic solutions. The kinetic data in this case can be fitted to the expression K_obs = k_o + K_H[H⁺], where k_o relates to a solvolytic pathway and k_H to the acid catalysed pathway. At 60 °C, K_o = 2 x 10^?5 s^?1 and k_H is 2 x 10^?5 M^?1 s^?1. Possible mechanisms for these reactions are considered.The Ni(II)/Ni(III) redox couple for NiLⁿ⁺ is irreversible on Pt using MeCN as solvent.     

Kinetics and mechanism of the decomposition of μ-amido-μ-hydroxo(tetraamminecobalt(III))(tetraaquacobalt(III)) ion in acidic aqueous solution

The title complex undergoes decomposition in acidic aqueous solution resulting in equimolar concentration of aquapentaamminecobalt(III) and hexa- aquacobalt(II). The kinetic studies over the ranges of 0.048 M ⩽ [H⁺] ⩽ 0.385 M, 25 ⩽ θ_c ⩽ 41.5°C and at I = 0.5 M reveals that the intricate mechanism involves protonation equilibrium of the title complex, followed by a rate determining bridge cleavage. The further follow-up reaction is a fast electron transfer process to form products. The rate expression derived from the mechanism is k_obs = k₁K₁[H⁺]/(1 + K₁[H⁺]) where the values of k, and K, are found to be 8.9 × 10⁻⁴ s⁻¹ and 3.5 M⁻¹ respectively at 25 °C. The results are compared with that obtained for the decomposition reactions of mononuclear aquaammine complexes of cobalt(III).     

Standard free energy maps for the hydrolysis of ATP as a function of pH and metal ion concentration: comparison of metal ions

The observed equilibrium constant K_obs for the hydrolysis of ATP to ADP and inorganic phosphate has been calculated as a function of pH and metal ion concentration pM (- log [M]) at 25 °C and μ = 0.2 with the use of literature values of the acid dissociation and complex dissociation constants for the phosphates.The resulting standard free energy changes ΔG °′ are presented by means of contour diagrams for the range pH 4–10 and pM 1–7. These maps summarize the results of some 1900 calculations per diagram, and clearly simulate a differential effect of the metal ions of interest, including Mg²⁺, Ca²⁺, Sr²⁺, Mn²⁺, Li⁺, Na⁺ and K⁺, on the equilibrium hydrolysis of ATP.     

Non-enzymatic hydrolysis of creatine ethyl ester

The rate of the non-enzymatic hydrolysis of creatine ethyl ester (CEE) was studied at 37 °C over the pH range of 1.6-7.0 using ¹H NMR. The ester can be present in solution in three forms: the unprotonated form (CEE), the monoprotonated form (HCEE⁺), and the diprotonated form (H₂CEE²⁺). The values of pK_a1 and pK_a2 of H₂CEE²⁺ were found to be 2.30 and 5.25, respectively. The rate law is found to be

Rate=-dC_CEE/dt=k₊₊[H₂CEE²⁺][OH^-]+k₊[HCEE⁺][OH^-]+k₀[CEE][OH^-]     

Reaction of hydrogen peroxide with hexaaquacobalt(III) perchlorate

The reaction of with H₂O₂ in 1.0 M HClO₄/LiClO₄ was found to be first-order in both reactants and the [H⁺] dependence of the second-order rate constant is given by k_2obs = b/[H⁺], b at 25 °C is 26.4 ± 0.5 s⁻¹. The rate law shows a simple inverse dependence on [H⁺] that is consistent with a rapidly maintained equilibrium between and its hydrolyzed form Co(H₂O)₅(OH)²⁺, followed by the rate controlling step, i.e. oxidation of H₂O₂ by Co(H₂O)₅(OH)²⁺.     

Kinetics of reduction of ferrioxamine B by chromium(II), vanadium(II), and dithionite

Kinetic studies of the reduction of ferrioxamine B (Fe(Hdesf)⁺) by Cr(H₂O)₆²⁺, V(H₂O)₆²⁺, and dithionite have been performed. For Cr(H₂O)₆²⁺ and V(H₂O)₆²⁺, the rate is ?d[Fe(Hdesf)⁺]/dt = k[Fe(Hdesf)⁺][M²⁺]. For Cr(H₂O)₆²⁺, k = 1.19 × 10⁴ M^?1 sec^?1 at 25°C and μ = 0.4 M, and k is independent of pH from 2.6 to 3.5. For V(H₂O)₆²⁺, k = 6.30 × 10² M^?1 sec^?1 at 25°C, μ = 1.0 M, and pH = 2.2. The rate is nearly independent of pH from 2.2 to 4.0. For Cr(H₂O)₆²⁺ and V(H₂O)₆²⁺, the activation parameters are ΔH^≠ = 8.2 kcal mol^?1, ΔS^≠ ?12 eu and ΔH^≠ = 1.7 kcal mol^?1, ΔS^≠ = ?40 eu (at pH 2.2) respectively. Reduction by Cr(H₂O)₆²⁺ is inner-sphere, while reduction by V(H₂O)₆²⁺ is outer-sphere. Reduction by dithionite follows the rate law ?d[Fe(Hdesf)⁺]/dt =kK^{$\text{1}\text{2}$}[Fe(Hdesf)⁺][S₂O₄^2?]^{$\text{1}\text{2}$} where K is the equilibrium constant for dissociation of S₂O₄^2? into SO₂^? radicals. The value of k at 25°C and μ = 0.5 is 2.7 × 10³ M^?1 sec^?1 at pH 5.8, 3.5 × 10³ M^?1 sec^?1 at pH 6.8, and 4.6 × 10³ M^?1 sec^?1 at pH 7.8, and ΔH^≠ = 6.8 kcal mol^?1 and ΔS^≠ = ?19 eu at pH 7.8.     

Equilibrium constants under physiological conditions for the reactions of L-phosphoserine phosphatase and pyrophosphate: L-serine phosphotransferase

The observed equilibrium constants (K_obs) for the l-phosphoserine phosphatase reaction [EC 3.1.3.3] have been determined under physiological conditions of temperature (38 °C) and ionic strength (0.25 m) and physiological ranges of pH and free [Mg²⁺]. Using Σ and square brackets to indicate total concentrations $\text{K}{}_{\mathrm{<mtext>obs</mtext>}}\text{=}\text{Σ L-serine][Σ P}{}_{\mathrm{i}}\text{]}\text{Σ L-phosphoserine]H}{}_2\text{O]}\text{, K =}\text{L-H · serine}{}^{\mathrm{\pm }}\text{]HPO}{}_4{}^{\mathrm{2?}}\text{]}\text{[L-H · phosphoserine}{}^{\mathrm{2?}}\text{]H}{}_2\text{O]}$. The value of K_obs has been found to be relatively sensitive to pH. At 38 °C, K⁺] = 0.2 m and free [Mg²⁺] = 0; K_obs = 80.6 m at pH 6.5, 52.7 m at pH 7.0 [ΔG_obs⁰ = ?10.2 kJ/mol (?2.45 kcal/mol)], and 44.0 m at pH 8.0 ([H₂O] = 1). The effect of the free [Mg²⁺] on K_obs was relatively slight; at pH 7.0 ([K⁺] = 0.2 m) K_obs = 52.0 m at free [Mg²⁺] = 10^?3, m and 47.8 m at free [Mg²⁺] = 10^?2, m. K_obs was insignificantly affected by variations in ionic strength (0.12–1.0 m) or temperature (4–43 °C) at pH 7.0. The value of K at 38 °C and I = 0.25 m has been calculated to be 34.2 ± 0.5 m [ΔG_obs⁰ = ?9.12 kJ/mol (?2.18 kcal/ mol)]([H₂O] = 1). The K for the phosphoserine phosphatase reaction has been combined with the K for the reaction of inorganic pyrophosphatase [EC 3.6.1.1] previously estimated under the same physiological conditions to calculate a value of 2.04 × 10⁴, m [ΔG_obs⁰ = ?28.0 kJ/mol (?6.69 kcal/mol)] for the K of the pyrophosphate:l-serine phosphotransferase [EC 2.7.1.80] reaction. $\text{K}{}_{\mathrm{<mtext>obs</mtext>}}\text{=}\text{[}\text{Σ L-serine}\text{][}\text{Σ}\text{P}{}_{\mathrm{<mtext>i</mtext>}}\text{]}\text{[}\text{Σ L-phosphoserine}\text{][}\text{H}{}_2\text{O}\text{]}\text{, K =}\text{[L-H · serine}{}^{\mathrm{\pm }}\text{]HPO}{}_4{}^{\mathrm{2?}}\text{]}\text{[L-H · phosphoserine}{}^{\mathrm{2?}}\text{]H}{}_2\text{O}$. Values of K_obs for this reaction at 38 °C, pH 7.0, and I = 0.25 m are very sensitive to the free [Mg²⁺], being calculated to be 668 [ΔG_obs⁰ = ?16.8 kJ/mol (?4.02 kcal/mol)] at free [Mg²⁺] = 0; 111 [ΔG_obs⁰ = ?12.2 kJ/mol (?2.91 kcal/mol)] at free [Mg²⁺] = 10^?3, m; and 9.1 [ΔG_obs⁰ = ?5.7 kJ/mol (?1.4 kcal/mol) at free [Mg²⁺] = 10^?2, m). K_obs for this reaction is also sensitive to pH. At pH 8.0 the corresponding values of K_obs are 4000 [ΔG_obs⁰ = ?21.4 kJ/mol (?5.12 kcal/mol)] at free [Mg²⁺] = 0; and 97.4 [ΔG_obs⁰ = ?11.8 kJ/ mol (?2.83 kcal/mol)] at free [Mg²⁺] = 10^?3, m. Combining K_obs for the l-phosphoserine phosphatase reaction with K_obs for the reactions of d-3-phosphoglycerate dehydrogenase [EC 1.1.1.95] and l-phosphoserine aminotransferase [EC 2.6.1.52] previously determined under the same physiological conditions has allowed the calculation of K_obs for the overall biosynthesis of l-serine from d-3-phosphoglycerate. $\text{K}{}_{\mathrm{<mtext>obs</mtext>}}\text{=}\text{[}\text{Σ L-serine}\text{][}\text{Σ NADH}\text{][}\text{Σ}\text{P}{}_{\mathrm{<mtext>i</mtext>}}\text{][}\text{Σ}\text{α-}\text{ketoglutarate}\text{]}\text{[Σ d-3-}\text{phosphoglycerate}\text{][Σ NAD}{}^{\mathrm{+}}\text{][Σ L-glutamat0]}$ The value of K_obs for these combined reactions at 38 °C, pH 7.0, and I = 0.25 m (K⁺ as the monovalent cation) is 1.34 × 10^?2, m at free [Mg²⁺] = 0 and 1.27 × 10^?2, m at free [Mg²⁺] = 10^?3, m.     

Equilibrium constants under physiological conditions for the reactions of the nonphosphorylated pathway of L-serine biosynthesis

The observed equilibrium constants (K_obs) for the reactions of d-2-phosphoglycerate phosphatase, d-2-Phosphoglycerate^3? + H₂O → d-glycerate^? + HPO₄^2?; d-glycerate dehydrogenase (EC 1.1.1.29), d-Glycerate^? + NAD⁺ → NADH + hydroxypyruvate^? + H⁺; and l-serine:pyruvate aminotransferase (EC 2.6.1.51), Hydroxypyruvate^? + l-H · alanine^± → pyruvate^? + l-H · serine^±; have been determined, directly and indirectly, at 38 °C and under conditions of physiological ionic strength (0.25 m) and physiological ranges of pH and magnesium concentrations. From these observed constants and the acid dissociation and metal-binding constants of the substrates, an ionic equilibrium constant (K) also has been calculated for each reaction. The value of K for the d-2-phosphoglycerate phosphatase reaction is 4.00 × 10³m [ΔG⁰ = ?21.4 kJ/mol (?5.12 kcal/mol)]([H₂0] = 1). Values of K_obs for this reaction at 38 °C, [K⁺] = 0.2 m, I = 0.25 M, and pH 7.0 include 3.39 × 10³m (free [Mg²⁺] = 0), 3.23 × 10³m (free [Mg²⁺] = 10^?3m), and 2.32 × 10³m (free [Mg²⁺] = 10^?2m). The value of K for the d-glycerate dehydrogenase reaction has been determined to be 4.36 ± 0.13 × 10^?13m (38 °C, I = 0.25 M) [ΔG⁰ = 73.6 kJ/mol (17.6 kcal/mol)]. This constant is relatively insensitive to free magnesium concentrations but is affected by changes in temperature [ΔH⁰ = 46.9 kJ/mol (11.2 kcal/mol)]. The value of K for the serine:pyruvate aminotransferase reaction is 5.41 ± 0.11 [ΔG⁰ = ?4.37 kJ/mol (?1.04 kcal/mol)] at 38 °C (I = 0.25 M) and shows a small temperature effect [ΔH⁰ = 16.3 kJ/ mol (3.9 kcal/mol)]. The constant showed no significant effect of ionic strength (0.06–1.0 m) and a response to the hydrogen ion concentration only above pH 8.5. The value of K_obs is 5.50 ± 0.11 at pH 7.0 (38 °C, [K⁺] = 0.2 m, [Mg²⁺] = 0, I = 0.25 M). The results have also allowed the value of K for the d-glycerate kinase reaction (EC 2.7.1.31), d-Glycerate^? + ATP^4? → d-2-phosphoglycerate^3? + ADP^3? + H⁺, to be calculated to be 32.5 m (38 °C, I = 0.25 M). Values for K_obs for this reaction under these conditions and at pH 7.0 include 236 (free [Mg²⁺] = 0) and 50.8 (free [Mg²⁺] = 10^?3m).     

Kinetics of acid-catalysed dissociation of lead(II) and copper(II) complexes of ethylenebis(oxyethylenenitrilo)tetraacetic acid (EGTA)

The acid-catalysed dissociation rate constants for PbEGTA²⁻ and CuEGTA²⁻ complexes (where EGTA is ethylenebis(oxyethylenenitrilo) tetraacetic acid) were measured in acetic acid-acetate buffer medium (pH: 3.0–4.8) and perchloric acid solutions ([H⁺] = 0.05–0.15 M), respectively, at a constant ionic strength of 0.15 (NaClO₄). The rate laws shown by the lead(II) and copper(II) complexes are of the form, Rate = {k_d + k_H[H⁺]}[complex] and Rate = {k_d + k_H²[H⁺]²}[complex], respectively. Enthalpy and entropy of activation for acid-independent and acid-catalysed pathways for both the complexes were obtained by the temperature-dependence studies of resolved rate constants in the 16–45°C range. The rate of dissociation of PbEGTA²⁻ is not enhanced by increasing the concentration of acetate ion in the buffer, and the amount of total electrolyte in the reaction mixture has no pronounced effect on the dissociation rates of their the lead(II) or copper(II) complex. Attempts to study the kinetics of stepwise ligand unwrapping in the binuclear Cu₂EGTA complex were unsuccessful due to the extremely rapid dissociation of this complex to yield mononuclear CuEGTA²⁻.     

Coordination of magnesium with adenosine 5′-diphosphate and triphosphate

³¹P NMR chemical shifts of salts of adenosine 5′-triphosphate and diphosphate: ATPH^2?₂2(Me₄N⁺) · H₂O, ATPH^2?₂2 Na⁺ · 3.5 H₂O, ATPH^2?₂Mg²⁺ · 4 H₂O, ATPH^2?₂Ca²⁺ · 2 H₂O, ADPH^2?2(Me₄N⁺) · H₂O and ADPH^2?Mg²⁺ · 4 H₂O have been measured in 0.02 M ²H₂O solutions at 145.7 MHz (22° C) at constant p²H values (8.20 and 6.20). The results are compared with those obtained from salts of adenosine 5′-monophosphate and other simpler phosphomonoesters, e.g. AMP^2?2(Me₄N⁺), AMP^2?Mg²⁺, AMPH^?Me₄N⁺ and (AMPH^?)₂Mg²⁺. It is concluded that the effects exerted by Mg²⁺ and Ca²⁺ on the ³¹P NMR shifts of dipoly- and tripolyphosphates relative to monovalent cations are due mainly to changes in conformation of the polyphosphate chain rather than to purely electronic factors associated with the binding of divalent cations to the phospho-oxyanions. The data are consistent with the existence of the following complexes at p²H 8.20: (MgP_αP_β)ADP^? and (MgP_αP_γ)ATP^2?af (MgP_αP_β)ATP^2?af (MgP_βP_γ)ATP^2? with the latter equilibrium relatively fast in the NMR time scale. Monoprotonation of the terminal phosphate appears to weaken the Mg²⁺-polyphosphate binding, particularly at P_β of MgADPH and at P_β and P_γ of MgATPH^?. The Mg²⁺-polyphosphate binding weakens further at p²H 3.70, i.e. in MgATPH₂. Possible implications of the results in the mechanism of actomyosin Mg²⁺-ATPase in muscle contraction are discussed.     

Equilibrium and structural studies of silicon(IV) and aluminium(III) in aqueous solution. 12. A potentiometric and 29Si-NMR study of silicon tropolonates

Complexation in the H⁺-Si(OH)₄-tropolone (HL) system was studied in 0.6 M (Na)Cl medium at 25° C. Speciation and formation constants were determined from potentiometric (glass electrode) and ²⁹Si-NMR data. Experimental data cover the ranges 1.5 ? - log[H⁺] ? 8.4, 0.002 ? B ? 0.012 M, and 0 ? C ? 0.060 M (B and C stand for the total concentration of Si and tropolone, respectively). In acid solutions (-log[H⁺] ? 3) a hexacoordinated cationic complex, SiL₃⁺, is formed with log K(Si(OH)₄ + 3HL + H⁺ XXX SiL₃⁺ + 4H₂O) = 7.08 ± 0.03. Furthermore, the formation of a disilicic acid was established from ²⁹Si-NMR data. The dimerization constant of Si(OH)₄ was found to be 10 exp (1.2 ± 0.1). In model calculations the solubility of quartz and amorphous SiO₂ in the presence of tropolone is demonstrated. Data were analyzed using the least-squares computer program LETAGROPVRID.     

Pulse radiolytic study of α-tocopherol radical mechanisms in ethanolic solution

Pulse radiolytic studies of α-tocopherol (αTH) oxidation-reduction processes were carried out with low doses (5 Gy) of high-energy electrons in O₂₋, N₂₋, and air-saturated ethanolic solutions. Depending on the concentration of oxygen in solution, two different radicals, A· and B·, were observed. The first, A·, was obtained under N₂ and results from aTH reaction with solvated electron (k_aTH+csolv⁻ = 3.4 × 10⁸ mol⁻¹ liter s⁻¹) and with H₃C-ĊH-OH, (R·) (k_{aTH + R·} = 5 × 10⁵ mol⁻¹ liter s⁻¹). B·, observed under O₂, is produced by αTH reaction with RO₂ peroxyl radicals (k_aTH + RO₂^. = 9.5 × 10⁴ mol⁻¹ liter s⁻¹).     

A rapid assay for the binding of actinomycin to DNA.

The theory of countercurrent distribution (CCD) was reviewed and extended. The separation function for the fundamental distribution of CCD was presented in the form n = t²(αk₁+β)²/αk₁(β?1)² where n is the number of transfers, t the abscissa of the standard normal distribution, α = v_m/v₈ the phase ratio, β = k₁/k₂≥ 1 the separation factor, and k₁ the partition coefficient of the more radidly moving component; n was found to be minimal on the condition αk₁ = β. The separation function for the single withdrawal of CCD was obtained in the form N = u + 1 = t²{(αk₁ + 1)^1/2 + [β(αk₁ + β)]^1/2}²/(β ? 1)²+ 1, where N is the number of partition units. From this equation it appears that N is minimal when αk₁ = 0. Compared with the former separation functions presented in the literature, these separation functions have the advantage of giving directly the relationships among the phase ratio, the absolute partition coefficient, the separation factor, the resolution degree, and the number of transfers or partition units required. In addition, the dependencies of the elution volumes and the widths of the elution curves on α, β, and the partition coefficients were considered mathematically by means of differential calculus. The elution volumes were found to have minima at certain αk₁ values. The standard deviations, on the contrary, did not have minima in respect to αk₁. The theory presented can be used for selecting proper operating conditions while separating chemical compounds.     

The kinetics of the complex formation between iron(III)-ethylenediaminetetraacetate and hydrogen peroxide in aqueous solution

The kinetics of the formation of the purple complex [Fe^III(EDTA)O₂]³⁻, between Fe^III-EDTA and hydrogen peroxide was studied as a function of pH (8.22-11.44) and temperature (10-40 °C) in aqueous solutions using a stopped-flow method. The reaction was first-order with respect to both reactants. The observed second-order rate constants decrease with an increase in pH and appear to be related to deprotonation of Fe^III-EDTA ([Fe(EDTA)H₂O]⁻ ⇔ Fe(EDTA)OH]²⁻ + H⁺). The rate law for the formation of the complex was found to be d[Fe^IIIEDTAO₂]³⁻/dt=[(k₄[H⁺]/([H⁺] + K₁)][Fe^III-EDTA][H₂O₂], where k₄=8.15±0.05×10⁴ M⁻¹ s⁻¹ and pK₁=7.3. The steps involved in the formation of [Fe(EDTA)O₂]³⁻ are briefly discussed.     

Multiple liquid-liquid partition: II. Theory of Martin-Synge distribution (MSD)

The theory of Martin-Synge distribution (MSD) was refined, with special attention being focused upon the derivation of the separation functions. The separation function for the fundamental distribution of MSD was obtained in the form v = t²(αk₁ + 1)(αk₁ + β)[(αk₁ + 1)^1/2 + (αk₁ + β)^1/2]²/αk₁(β ? 1)², where ν is the number of aliquots v_m driven through the apparatus, t the abscissa of the standard normal distribution, α = v_m/v₈ the phase ratio, β = k₁/k₂≥ 1 the separation factor, and k₁ the partition coefficient of the more rapidly moving component; ν was shown to have minima at given αk₁ values. The separation function of the single withdrawal of MSD was presented in the form N = u + 1 = t²(2αk₁ + β + 1)²/(β ? 1)²+ 1, where N is the number of partition units; N is minimal when αk₁ = 0. The elution volumes and standard deviations of the two compounds to be separated were mathematically analyzed in a manner similar to that previously presented when dealing with the theory of counter-current distribution (CCD). As in CCD, the elution volumes in MSD were found to have minima at given αk₁ values. However, the standard deviations of the elution curves also have minima in respect to αk₁ in MSD, which is a different situation as compared to CCD. The selection of optimal operating conditions was found to be more critical in MSD than in CCD.     

The dimerization of ferrihaems: I. The effect of buffer ions and specific cations on deuteroferrihaem dimerization

The dimerization of deuteroferrihaem in aqueous solution has been investigated using a parameter, named the dimerization index (R_obs). This is defined as the ratio of extinction coefficients at wavelengths corresponding to Soret band maxima for the monomeric and dimeric species, respectively. For solutions containing mainly monomeric species, R_obs > 2, whereas for solutions containing mainly dimeric species R_obs < 1.A computer programme has been applied to determine values of the dimerization constant, K, defined as: $\text{K =}\text{[}\text{dimer}\text{][}\text{H}{}^{\mathrm{+}}\text{]}\text{[}\text{monomer}\text{]}{}^2$.Phosphate buffer anions and Tris · HCl buffer enhanced dimerization. Monovalent and divalent cations also increased dimerization, but in a specific manner. The magnitudes of their effects increased in the order $\text{K}{}^{\mathrm{+}}\text{< Na}{}^{\mathrm{+}}\text{< Li}{}^{\mathrm{+}}\text{<}\text{Sr}{}^{\mathrm{2+}}\text{< Mg}{}^{\mathrm{2+}}\text{? Ca}{}^{\mathrm{2+}}$. Values of K were determined for several concentrations of Na⁺ and Sr²⁺. These data are interpreted in terms of a stabilization of the ferrihaem dimer by the formation of ion triplets with the added cation ‘sandwiched’ between carboxyl residues of the adjacent ferrihaem monomeric units. General guidelines are recommended for the choice of conditions which minimize dimerization.     

Kinetic studies on the reaction of ethylenediaminetetraacetatochromium(III) complex with hydrogen peroxide

The rate of reaction of [Cr(III)Y]_aq (Y is EDTA anion) with hydrogen peroxide was studied in aqueous nitrate media [μ = 0.10 M (KNO₃)] at various temperatures. The general rate equation, Rate = $\text{k}{}_1\text{+}\text{k}{}_2\text{K}{}_1\text{[H}{}^{\mathrm{+}}\text{]}{}^{\mathrm{?1}}\text{1 +}\text{K}{}_1\text{[H}{}^{\mathrm{+}}\text{]}{}^{\mathrm{?1}}$ [Cr(III)Y]_aq[H₂O₂] holds over the pH range 5–9. The decomposition reaction of H₂O₂ is believed to proceed via two pathways where both the aquo and hydroxo-quinquedentate EDTA complexes are acting as the catalyst centres. Substitution-controlled mechanisms are suggested and the values of the second-order rate constants k₁ and k₂ were found to be 1.75 × 10^?2 M^?1 s^?1 and 0.174 M^?1 s^?1 at 303 K respectively, where k₂ is the rate constant for the aquo species and k₂ is that for the hydroxo complex. The respective activation enthalpies (ΔH^*₁ = 58.9 and ΔH^*₂ = 66.5 KJ mol^?1) and activation entropies (ΔS^*₁ = ?85 and ΔS^*₂ = ?40 J mol^?1 deg^?1) were calculated from a least-squares fit to the Eyring plot. The ionisation constant pK₁, was inferred from the kinetic data at 303 K to be 7.22. Beyond pH 9, the reaction is markedly retarded and ceases completely at pH ? 11. This inhibition was attributed in part to the continuous loss of the catalyst as a result of the simultaneous oxidation of Cr(III) to Cr(VI).     

Synthetic and mechanistic studies of the addition of 2,6-dimethylaniline to tricarbonyl (1–5-η-dienyl) iron(II) complexes (dienyl=C6H7 or C7H9)

Detailed synthetic and mechanistic studies of the addition of 2, 6-dimethylaniline to the organometallic complexes [Fe(CO)₃(1–5-η-dienyl)]BF₄ (1, dienyl=C₆H₇ or C₇H₉) indicates the general rate law k_obs=k_a [2,6-(Me)₂C₆H₃NH₂]+k_b which is consistent with an equilibrium process. The greater reactivity of the C₆H₇ complex and the low ΔH_a3 and large negative ΔS_a3 values are in accordance with direct addition of the amine to the dienyl rings of 1. On the other hand the relatively much higher ΔH_b 3 values are consistent with bond cleavage in dissociation as is the positive ΔS_b 3 value of +220 J K⁻¹ mol⁻¹ determined for the C₆H₇ reaction. The negative ΔS_b3 value of −43 J K⁻¹ mol⁻¹ found for the C₇H₉ reaction suggests the presence of an ordered transition state through which the starting dienyl complex is reformed via some internal S_N2 process.