Non-adiabatic electronic energy transfer from the (3CTRu(bpy)2(CN)2 excited state to Cr(III) complexes

The quenching of the luminescence lifetime of cis-Ru(bpy)₂(CN)₂ (bpy = 2,2′-bipyridine) by complexes of the cis- and trans-Cr(en)₂(XY)⁺ families (en = ethylenediamine; X and Y = F, Cl, Br, NCS, ONO) has been studied in aqueous solution and the results obtained have been discussed together with those previously reported for the quenching of the Ru(bpy)₃²⁺ luminescene by the same Cr(III) complexes. Experimental results and theoretical considerations show that the quenching process occurs by exchange electronic energy transfer. Since in all cases the process is sufficiently exoergonic to make up for the small intrinsic barriers, the lowest diffusion values of the quenching constants indicate a non-adiabatic behavior. The degree of adiabaticity of the energy transfer process is larger for the neutral Ru(bpy)₂(CN)₂ donor than for the positively charged Ru(bpy)₃²⁺ donor. The X and Y ligands can be ordered in the following adiabaticity series: ONO^?, F^? < Cl^? <NCS^? <Br^?. The geometry of the acceptor is a discriminating parameter only for energy transfer from the charged donor. These results show that the electronic term of exchange energy transfer in non-adiabatic processess is governed by a delicate balance of factors related to the composition and structure of the encounter complex [1].     

Energy transfer between Photosystem II and Photosystem I in chloroplasts

A model for the photochemical apparatus of photosynthesis is presented which accounts for the fluorescence properties of Photosystem II and Photosystem I as well as energy transfer between the two photosystems. The model was tested by measuring at ?196 °C fluorescence induction curves at 690 and 730 nm in the absence and presence of 5 mM MgCl₂ which presumably changes the distribution of excitation energy between the two photosystems. The equations describing the fluorescence properties involve terms for the distribution of absorbed quanta, α, being the fraction distributed to Photosystem I, and β, the fraction to Photosystem II, and a term for the rate constant for energy transfer from Photosystem II to Photosystem I,k_T(II→I). The data, analyzed within the context of the model, permit a direct comparison of α andk_T(II→I) in the absence (?) and presence (+) of Mg²⁺:α/^?α⁺= 1.2andk/^?_T(II→I)k⁺_T(II→I)= 1.9. If the criterion thatα + β = 1 is applied absolute values can be calculated: in the presence of Mg²⁺,a⁺ = 0.27 and the yield of energy transfer,φ⁺_T(II→I) varied from 0.065 when the Photosystem II reaction centers were all open to 0.23 when they were closed. In the absence of Mg²⁺,α^? = 0.32 andφ_T(II→I) varied from 0.12 to 0.28.The data were also analyzed assuming that two types of energy transfer could be distinguished; a transfer from the light-harvseting chlorophyll of Photosystem II to Photosystem I,k_T(II→I), and a transfer from the reaction centers of Photosystem II to Photosystem I,k_t(II→I). In that caseα/^?α⁺= 1.3,k/^?_T(II→I)k⁺_T(II→I)= 1.3 andk/^?_t(II→I)k⁺_(tII→I)= 3.0. It was concluded, however, that both of these types of energy transfer are different manifestations of a single energy transfer process.     

Phycobilisome from Anabaena Variabilis Kütz. and its Model Conjugates

The model conjugates phycocyanin-allophycocyanin (C-PC-APC) and phycoerythrocyanin-phycocyanin-allophycocyanin (PEC-C-PC-APC) were synthesized by using a heterobifunctional coupling reagent N-succinimidyl-3-(2-pyridyldithio)propionate. The rod-core complex (αβ)₆ ^PCL_RC ²⁷(αβ)₃ ^APCL_C ^8.9 and phycobilisomes were separated from Anabaena variabilis. Energy transfer features for the conjugates and the complexes were compared. The absorption and fluorescence emission spectra indicated that the linker-peptides mediate interaction of phycobiliproteins and prompt energy transfer. The energy transfer in the conjugates was detected by fluorescence emission spectra and confirmed by the addition of dithiothreitol. The conjugates may be used as models for studying the energy transfer mechanism in phycobilisomes. This revised version was published online in September 2006 with corrections to the Cover Date.     

Mass transfer studies on the reduction of Cr(VI) using calcium alginate immobilized Bacillus sp. in packed bed reactor

This study presents the external mass transfer effects on the reduction of hexavalent chromium (Cr(VI)) using calcium alginate immobilized Bacillus sp. in a re-circulated packed bed batch reactor (RPBR). The effect of flow rate on the reduction Cr(VI) was studied. Theoretically calculated rate constants for various flow rates were analyzed using external film diffusion models and compared with experimental values. The external mass transfer coefficients for the bioconversion of Cr(VI) were also investigated. The external mass transfer effect was correlated with a model of the type J_D = K Re⁻⁽¹⁻ⁿ⁾. The model was tested with various K values and the mass transfer correlation J_D = 5.7 Re^−0.70 was found to predict the experimental data accurately. The proposed model would be useful for the design of industrial reactor and scale up.     

A possible new mechanism of temperature dependence of electron transfer in photosynthetic systems

A new theory for the electron transfer by the non-adiabatic process is formulated taking into account the origin shift and the frequency change of the vibration. The resultant formulas are quite similar to those of Jortner (Jortner, J. (1976) J. Chem. Phys. 64, 4860–4867) except that the free energy gap ΔG is used instead of the energy gap ΔE. By applying this theory to the photosynthetic electron transfer, the role of the remarkable temperature dependence of the electron transfer from cytochrome to P⁺ in Chromatium vinosum and the experimental data were reproduced very well using a small value of the coupling strength in contrast with the previous theory. This implies that proteins play a role to exclude many of the solvent molecules from the region of the electron transfer reaction between the donor and acceptor molecules. The negative activation process in the back electron transfer from Q^?_A to P⁺, the very slow back electron transfer from I^? to P⁺ and the solvent isotope effect on the cytochrome oxidation are also successfully explained by this new theory. It is shown that even a qualitative conclusion as to the molecular parameters obtained from the temperature dependence of the electron transfer is different between the present theory and that of Jortner.     

Energy transfer to the reaction centres in bacterial photosynthesis

From a combined study of (1) bacteriochlorophyll fluorescence lifetimes, (2) relative yields and (3) differential absorption changes corresponding to the reaction centres photooxidation, the absolute values of fluorescence lifetimes and quantum yields for two bacteriochlorophyll fractions have been calculated. The main bacteriochlorophyll fraction (80–90%) serving as a light-gathering antenna for reaction centresP ₈₉₀ is characterized by dark values of fluorescence lifetimes of the order of 10^–11 sec and fluorescence yields of 10^–3. The remaining part of the bulk pigment, not associated withP ₈₉₀ as far as excitation energy transfer is concerned, has an approximately constant fluorescence yield of about 5–8% and lifetime of about 10^–9 sec. Basing on these results, excitation jump times and intermolecular coupling energies were estimated to be 10^–13 sec and 10^–2 ev respectively. The conclusion is made that excitation energy transfer in the main part of bacteriochlorophyll occurs by the exciton mechanism at moderate intermolecular energies.     

The energy barriers to ion transport by nonactin across thin lipid membranes

The experimental steady-state current-voltage relations for low concentrations of a neutral carrier and an ion may be fitted theoretically either by assuming a form for the potential dependence of the rate of transfer of complex across the membrane and adjusting the proposed nature of the association-dissociation reactions or by assuming equilibrium for the association and adjusting the potential dependence of the transfer process. Different dependences for the rate of transfer correspond, at least formally, to different shapes for the potential energy barrier which the complex must cross. By comparing measurements of the current-voltage relations for non-actin with Na⁺, K⁺, and NH₄⁺, it is possible to distinguish between the effeects of the various rates. For black lipid membranes made from glycerolmonooleate+$\text{n-}\text{hexadecane}$, the potential energy barrier is high with a narrow top, but the rate of association still becomes increasingly limiting for Na⁺, K⁺ and NH₄⁺, in the order given. For bacterial phosphatidylethanolamine, with $\text{n-}\text{decane}$ the barrier is much wider and no effect of the rate of association can be detected.     

Thermodynamic relationships between the oxidation-reduction reactions and the ATP synthesis in suspensions of isolated pigeon heart mitochondria

Studies on the suspension of isolated pigeon heart mitochondria demonstrate that the mitochondrial respiratory chain consists of isopotential groups of components. The transfer of the reducing equivalents between two neighboring groups is coupled to the synthesis of ATP. The free energy change of the transfer of the reducing equivalents between the NADH and cytochrome c equals, within experimental error, the free energy change required to synthesize 2 moles of ATP outside the mitochondria. This indicates that the coupled reactions remain in near equilibrium. The K_eq for the first two phosphorylation sites in State 4 is 6.8 × 10⁶m^?2 and is very close to the theoretical value (3.2 × 10₆m^?2).     

Coordination of adenylate energy charge and phosphorylation state during ischemia and under physiological conditions in rat liver and kidney

The relation of the adenylate energy charge $\text{(}\text{ATP}\text{+}\text{1}\text{2}\text{ADP/ATP}\text{+}\text{ADP}\text{+}\text{AMP}\text{)}$ to the phosphorylation state (ATP)/(ADP)(HPO₄^2?) in rat liver and kidney was analyzed. Under physiological conditions and in ischemia, the two regulatory parameters, calculated from reported values for adenine nucleotides and inorganic phosphate (P_i) and from new observations, were closely coordinated. Energy charge was an inverse linear function of P_i and -log (1 - energy charge) was a positive linear function of log phosphorylation state. To evaluate experimental data with known energy charge, but unknown P_i, and to determine the theoretical relation between energy charge and phosphorylation state, P_i was estimated from a) the regression equation: P_i, μmol/g wet wt tissue = 1.05 - energy charge/0.073 and b) the empirical relationship: (P_i/2P_a) + energy charge = k, where P_a = σAMP + 2ADP + 3ATP and k = 1. With both estimates, the relation between phosphorylation state and energy charge for the experimental data was, within error, the same as that observed with measured P_i and concordant with theoretical values. Over the physiological range of energy charge (～0.85 – 0.95, log phosphorylation state ～3.3 – 4.3), apparent ΔG_ATP (×2) was closer to the range of ΔG observed by Wilson $\text{et al}$ (Biochem. J. $\text{140}$:57, 1974) for transfer of two electrons from mitochondrial NAD to the cytochrome c couple than the ΔG_ATP (×2) they reported, supporting their conclusion that near-equilibrium exists between the mitochondrial respiratory chain and the cytoplasmic phosphorylation state under physiological conditions. From evidence presented, it is postulated that the phosphorylation state is regulated by the adenylate energy charge.     

Opsin Oligomerization in a Heterologous Cell System

Using bioluminescence resonance energy transfer (BRET) we studied opsin oligomerization in heterologous expression systems and quantitatively assessed its oligomerization state. BRET² saturation and competition experiments were performed with live COS-7 cells expressing Rluc-and GFP²-tagged receptor constructs. BRET² saturation curves obtained were hyperbolic, and the calculated oligomerization state (N = 1 for dimers) suggested that opsin (N = 1.34 ± 0.25) forms higher oligomers. Very high BRET² values obtained for the opsin homo-dimer pair indicated a large energy transfer efficiency (E) and for cases where E ? 0.1 a modified saturation curve was proposed. The existence of homo-dimer complexes was additionally supported by competition assay results and was also observed in HEK-293 cells. Furthermore, evidence was provided for homo-and hetero-dimerization of family A (β₂-adrenergic) and B (gastric inhibitory polypeptide, GIP) receptors. In summary, these experiments demonstrate homo-and hetero-dimerization for opsin, β ₂-adrenergic, and GIP receptors.     

Influence of mass transfer and surface ligand heterogeneity on quantitative BIAcoreTM binding data. Analysis of the interaction of NC10 Fab with an anti-idiotype Fab′

The interaction of monovalent Fab fragments of NC10, an antiviral neuraminidase antibody, and the anti-idiotype antibody 3-2G12 has been used as a model system to demonstrate experimentally the influence of non-ideal binding effects on BIAcore^TM binding data. Because the association rate constant for these two molecules was found to be relatively high (about 5×10⁵ M ⁻¹ s⁻¹), mass transfer was recognised as a potential source of error in the analysis of the interaction kinetics. By manipulation of the flow rate and the surface density of the immobilised ligand, however, the magnitude to this error was minimised. In addition, the application of site-specific immobilisation procedures was found to improve considerably the correlation of experimental binding data to the ideal 1:1 kinetic model such that the discrepancy between experimental and fitted curves was within the noise range of the instrument. Experiments performed to measure the equilibrium constant (K_D) in solution resulted in a value of similar magnitude to those obtained from the ratio of the kinetic rate constants, even those measured with a heterogeneous ligand or with a significant mass transfer component. For this system, the experimental complexities introduced by covalent immobilisation did not lead to large errors in the K_D values obtained using the BIAcore © 1997 John Wiley & Sons, Ltd.     

A dimeric tris(2,2′-bipyridine)ruthenium(II) system: Emission spectrum and cyclic voltammogram

A dimeric ruthenium(II) compound in which two Ru(bpy)₃ groups are linked by an amide bonding has been prepared as a model compound to study an energy transfer between Ru(bpy)₃ chelates. The nature of the solution luminescence spectrum varied with concentration: the emission maximum appeared at 650 nm for dilute solutions and at 670 nm for concentrated solutions. This concentration dependence has been interpreted in terms of excimers that are formed due to an energy transfer between two Ru(bpy)₃ groups in a dimer molecule. The cyclic voltammogram for the Ru³⁺/Ru²⁺ reaction is quasireversible: the reaction is governed by a sluggish electron transfer which may be due to an intradimer electronic interaction.     

Photoluminescence enhancement in Na3SO4Cl:X (X = Ce3+, Eu3+ or Dy3+) material

The compound Na₃SO₄Cl X (X = Ce³⁺, Eu³⁺ or Dy³⁺) prepared by the wet chemical method was studied for its photoluminescence (PL) and energy transfer characteristics. The PL from Na₃SO₄Cl:Ce³⁺ shows strong emission at 322 nm at an excitation of 272 nm. Therefore, an efficient Ce³⁺ → Dy³⁺, Eu²⁺ → Dy³⁺ and Eu²⁺ → Eu³⁺ energy transfer had taken place in this host. The Dy³⁺ emission caused by Ce³⁺ → Dy³⁺ energy transfer under ultraviolet (UV) wavelengths peaked at around 477 nm and 572 nm due to ⁴ F_9/2 → ⁶H_15/2 and ⁶H_13/2 transitions with yellow–orange emission in the Na₃SO₄Cl lattice. An intense Dy³⁺ emission was observed at 482 and 576 nm caused by the Eu²⁺ → Dy³⁺ energy transfer process and due to ⁴ F_9/2 → ⁶H_15/2 and ⁴ F_9/2 → ⁶H_13/2 transitions respectively. The Eu³⁺ blue to red light emission caused by the Eu²⁺ → Eu³⁺ energy transfer peaked at 593 nm and 617 nm due to ⁵D₀ → ⁵D₃ transitions. The presence of trivalent Eu in Na₃SO₄Cl suggested the presence of Eu³⁺ in the host compound that occupied two different lattice sites and that peaked at 593 and 617 nm due to ⁵D₀ → ⁷ F₁ and ⁵D₀ → ⁷ F₂ transitions respectively. The trivalent europium ion is very useful for studying the nature of metal coordination in various systems due to its non‐degenerate emitting ⁵D₀ state. The present paper discusses the photoluminescence characteristics of Eu²⁺ → Dy³⁺ and Eu²⁺ → Eu³⁺ energy transfer. This compound may be useful as a lamp phosphor. Copyright © 2015 John Wiley & Sons, Ltd.     

Effect of enhanced Renilla luciferase and fluorescent protein variants on the Förster distance of Bioluminescence resonance energy transfer (BRET)

Bioluminescence resonance energy transfer (BRET) is an important tool for monitoring macromolecular interactions and is useful as a transduction technique for biosensor development. Förster distance (R₀), the intermolecular separation characterized by 50% of the maximum possible energy transfer, is a critical BRET parameter. R₀ provides a means of linking measured changes in BRET ratio to a physical dimension scale and allows estimation of the range of distances that can be measured by any donor–acceptor pair. The sensitivity of BRET assays has recently been improved by introduction of new BRET components, RLuc2, RLuc8 and Venus with improved quantum yields, stability and brightness. We determined R₀ for BRET¹ systems incorporating novel RLuc variants RLuc2 or RLuc8, in combination with Venus, as 5.68 or 5.55 nm respectively. These values were approximately 25% higher than the R₀ of the original BRET¹ system. R₀ for BRET² systems combining green fluorescent proteins (GFP²) with RLuc2 or RLuc8 variants was 7.67 or 8.15 nm, i.e. only 2–9% greater than the original BRET² system despite being ～30-fold brighter.     

A reinvestigation of chlortetracycline fluorescence: effect of pH,metal ions,and environment

The pH dependence of chlortetracycline fluorescence has been reinvestigated. Below pH 7.5, excitation at 400 nm results in an emission band at 530 nm. Above pH 7.5, in addition to the above band, a strong fluorescence is observed at 430 nm on excitation at 345 nm. pK_a values of 3.5 and 7.7 have been determined for the 530- and 430 nm bands, permitting their assignment to the ring A and ring BCD chromophores, respectively. Both bands are shown to be sensitive to divalent metal binding. Excitation energy transfer from the 430-bband to the 530-nm band is observed in metal complexes, with transfer efficiency being greater for the Mg²⁺ chelate than the Ca²⁺ chelate. The effect of solvent and lipid on band intensities and transfer efficiencies is reported. The interaction of chlortetracycline with BSA in the presence of Mg²⁺ leads to the observation of energy transfer from protein tryptophan residues to the 520-nm band of the complex via the intermediacy of the 430-nm band.     

The calcium ion binding site in bovine chymotrypsin A

The effect of Gd³⁺ on the nuclear magnetic resonance (nmr) relaxation rates, T_1m^?1 and T_2m^?1, of inhibitor protons in metal-inhibitor-α-chymotrypsin ternary complexes has been measured. The Solomon-Bloembergen equations were used to calculate the distance from the methyl protons of p-toluamidine (a competitive inhibitor) to the Gd³⁺ binding site which is 9.2 ± 0.5 Å. Calcium ion and gadolinium ion compete for the same binding site on α-chymotrypsin. Distances from the specificity pocket of α-chymotrypsin to the metal binding site have been measured by fluorescence energy transfer experiments. By observing energy transfer between proflavine and Nd³⁺, Pr³⁺, or Ho³⁺, we have been able to calculate a distance of approximately 10 Å between the two chromophores. This agrees well with the data obtained by nmr techniques and also gives nearly identical values to those obtained for trypsin (Darnall, D., Abbott, F., Gomez, J. E., and Birnbaum, E. R., Biochemistry15, 5017, 1976). This is consistent with the calcium ion binding sites being composed of the same residues in both trypsin and α-chymotrypsin.     

Production of singlet oxygen in a non-self-sustained discharge

The production of O₂(a¹Δ_g) singlet oxygen in non-self-sustained discharges in pure oxygen and mixtures of oxygen with noble gases (Ar or He) was studied experimentally. It is shown that the energy efficiency of O₂(a¹Δ_g production can be optimized with respect to the reduced electric field E/N. It is shown that the optimal E/N values correspond to electron temperatures of 1.2–1.4 eV. At these E/N values, a decrease in the oxygen percentage in the mixture leads to an increase in the excitation rate of singlet oxygen because of the increase in the specific energy deposition per O₂ molecule. The onset of discharge instabilities not only greatly reduces the energy efficiency of singlet oxygen production but also makes it impossible to achieve high energy deposition in a non-self-sustained discharge. A model of a non-self-sustained discharge in pure oxygen is developed. It is shown that good agreement between the experimental and computed results for a discharge in oxygen over a wide range of reduced electric fields can be achieved only by taking into account the ion component of the discharge current. The cross section for the electron-impact excitation of O₂(a¹Δ_g and the kinetic scheme of the discharge processes with the participation of singlet oxygen are verified by comparing the experimental and computed data on the energy efficiency of the production of O₂(a¹Δ_g and the dynamics of its concentration. It is shown that, in the dynamics of O₂(a¹Δ_g molecules in the discharge afterglow, an important role is played by their deexcitation in a three-body reaction with the participation of O(³P) atoms. At high energy depositions in a non-self-sustained discharge, this reaction can reduce the maximal attainable concentration of singlet oxygen. The effect of a hydrogen additive to an Ar: O₂ mixture is analyzed based on the results obtained using the model developed. It is shown that, for actual electron beam current densities, a significant energy deposition in a non-self-sustained discharge in the mixtures under study can be achieved due to the high rate of electron detachment from negative ions. In this case, however, significant heating of the mixture can lead to a rapid quenching of O₂(a¹Δ_g molecules by atomic hydrogen.     

Oxygen transfer in Streptomyces fermentation broths

The oxygen transfer coefficient has been investigated in S. noursci and S. lavendulae fermentation broths obtained from fermentors of different operating volumes (61., 30001., 20,0001.). Fermentors had K_La_s values ranging from 1.0 to 17.0 min^?1, calculated from sulphite oxidation rates. The dynamic measurement of the volumetric oxygen transfer coefficient. (K_La) has been performed in the different fermenting systems. As the fermentation progressed, especially in the first stages, K_La values have decreased in both fermentations and in each system of fermentors. In order to characterise the whole fermenting system an average K_La_s was calculated from the obtained K_La values. The average K_La grew with increasing K_La_s values and ranged from 0.03 to 3.72 min^?l. Some factors possibly having an influence on the, change of K_La have been studied. The oxygen transfer coefficients of the broths have been measured in falling films and ranged from 0.05 to 0.4 cm min^?1. The flow conditions have been characterized by Reynolds numbers of broths varying between 1.0 and 60.0. The average thickness of the falling films have been measured and plotted against Reynolds number. The Re⁺ which is the breaking-point of the plot increased as the fermentation proceeded. In the region of Re⁺ the values of the oxygen transfer coefficient increased rapidly. An approximate correlation could be established between the Re⁺ and the physical properties of fermentation broth.     

Mechanism of primary and secondary ion-radical pair formation in photosystem I complexes

The mechanisms of the ultrafast charge separation in reaction centers of photosystem I (PS I) complexes are discussed. A kinetic model of the primary reactions in PS I complexes is presented. The model takes into account previously calculated values of redox potentials of cofactors, reorganization energies of the primary P700⁺A ₀ ^- and secondary P700⁺A ₁ ^- ion-radical pairs formation, and the possibility of electron transfer via both symmetric branches A and B of redox-cofactors. The model assumes that the primary electron acceptor A₀ in PS I is represented by a dimer of chlorophyll molecules Chl2A/Chl3A and Chl2B/Chl3B in branches A and B of the cofactors. The characteristic times of formation of P700⁺A ₀ ^- and P700⁺A ₁ ^- calculated on the basis of the model are close to the experimental values obtained by pump-probe femtosecond absorption spectroscopy. It is demonstrated that a small difference in the values of redox potentials between the primary electron acceptors A_0A and A_0B in branches A and B leads to asymmetry of the electron transfer in a ratio of 70: 30 in favor of branch A. The secondary charge separation is thermodynamically irreversible in the submicrosecond range and is accompanied by additional increase in asymmetry between the branches of cofactors of PS I.