States of Aggregation and Phase Transformation Behavior of Metallosurfactant Complexes by Hexacyanoferrate(II): Thermodynamic and Kinetic Investigation of ETR in Ionic Liquids and Liposome Vesicles

Electronic absorption spectroscopy was used to study the ETR of surfactant–cobalt(III) complexes containing imidazo[4,5-f][1,10]phenanthroline, dipyrido[3,2-d:2′-3′-f]quinoxaline and dipyrido[3,2-a:2′,4′-c](6,7,8,9-tetrahydro)phenazine ligands by using ferrocyanide ions in unilamellar vesicles of dipalmitoylphosphotidylcholine (DPPC) and 1-butyl-3-methylimidazolium bromide ((BMIM)Br), at different temperatures under pseudo-first-order conditions using an excess of the reductant. The reactions were found to be second-order and the electron transfer is postulated as occurring in the outer sphere. The rate constant for the electron transfer reactions was found to increase with increasing concentrations of ionic liquids. Besides these, the effects of surfactant complex ions on liposome vesicles in these same reactions have also been studied on the basis of hydrophobicity. We observed that, below the phase transition temperature, there is an increasing amount of surfactant–cobalt(III) complexes expelled from the interior of the vesicle membrane through hydrophobic effects, while above the phase transition temperature, the surfactant–cobalt(III) complexes are expelled from the interior to the exterior surface of the vesicle. Kinetic data and activation parameters are interpreted in respect of an outer-sphere electron transfer mechanism. By assuming the existence of an outer-sphere mechanism, the results have been clarified based on the presence of hydrophobicity, and the size of the ligand increases from an ip to dpqc ligand and the reactants become oppositely charged. In all these media, the ΔS# values are recognized as negative in their direction in all the concentrations of complexes employed, indicative of a more ordered structure of the transition state. This is compatible with a model in which these complexes and [Fe(CN)6]4− ions bind to the DPPC in the transition state. Thus, the results have been interpreted based on the self-aggregation, hydrophobicity, charge densities of the co-ligand and the reactants with opposite charges.


Introduction
During the last few decades, rapid advances in our understanding of surface phenomena have taken place. However, the significance of surface science has been recognized for more than a century. Surfactants are used as ligands [1] that dramatically decrease the interfacial free energy of solids and liquids [2]. Surfactants are amphipathic molecules, i.e., they possess hydrophilic and hydrophobic regions [3], with a long hydrocarbon tail and moderately small ionic or polar head group. Surface-active agents play major roles in chemistry, biology, and pharmaceuticals [4]. It has been observed that both the oxidation and reduction of micellar medium can be influenced by hydrophobic and electrostatic forces and, for a given set of reactions, the observed rate depends on the extent of the association between the micellar aggregation and the reactants [5]. In recent times, there have been reports on surfactant metal complexes of various natures and their micellar aggregation properties [6]. The electron transfer based on the outer sphere among first-row metal complexes plays a vital role both in vivo [5] and in the treatment of molecular-scale devices, such as logic gates and molecular wires [7]. The alterations of the electron transfer reactions on the outer-sphere environment complex are attributable to the variation of counter ion concentrations [8]. Gaswick et al. have reported that the [Fe(CN) 6 ] 4− can reduce some pentamminecobalt(III) complexes to cobalt(II) via an outer-sphere electron transfer step [9] and they have also reported that the substituted pentamminecobalt(III) complexes could be reduced by [Fe(CN) 6 ] 4− with the development of an ion pair [10]. There are many reports available on electron transfer between metal complexes and ferrocyanide ions [11][12][13][14]. A. R. Mustafina et al. [15] have studied the electron transfer reaction of outersphere combination of p-sulfanotothiacalix [4]arene and some cobalt-based metal complexes. The ion pairing of the complexes with macrocycle STCA accelerates the [Fe(CN) 6 ] 4− cobalt(III) electron transfer reactions. A. J. Miralles et al. [16] have explored the outersphere reductions of cobalt and ruthenium-based pyridinepentammine complexes by [Fe(CN) 6 ] 4− . A. A. Holder has reported the mechanistic investigation of the reduction of the molybdatopentamminecobalt(III) ion by aqueous [Fe(CN) 6 ] 4− and aqueous sulfite [17]. A. P. Szecsy and A. Haim [18] have studied the mechanism of the reaction which takes place in the imidazolate bridges intramolecular electron transfer between pentacyanoferrate(II) and pentammine cobalt(III) complexes containing imidazole and its conjugate base. Jing-Jer Jwo et al. [19] have performed intramolecular electron transfer between the same reactant and pentammine cobalt(III) mediated by various 4,4 -bipyridines. M. Martinez et al. [20] have reported the outer-sphere reactions of (N) 5 -macrocyclic cobalt(III) complexes. Several studies have been conducted to resolve the dependence of electron transfer on different environments, such as DNA vesicles and micelles [21][22][23][24][25], and have received plenty of interest over the last several decades. An amount of research has been devoted to the interaction of amphiphilic molecules with phospholipid vesicles membrane models due to the partition equilibrium between the bilayers and the aqueous phase; this integration involves complex perturbations in the physical properties of vesicle membranes, which pertain to the type and amount of surfactant [26]. It is evident that surfactant complexes are marked by their dual nature consisting of the hydrocarbon component (hydrophobic) and the ionic component (hydrophilic), which is responsible for the self-aggregation process in solution [27].
Vesicles are used for gene therapy in preclinical and clinical trials and have also proven to be beneficial carriers for the delivery of genes to cultured cells [28]. Surfactantvesicle systems are good models for cell membrane solubilization studies [29]. In the past few years, ionic liquids (ILs) have generated substantial interest as potential new media for nanostructure construction materials, electrochemistry, organic synthesis and catalyst supports [30,31]. From a fundamental prospect, ionic liquids facilitate solvatophobic interactions, which are present among ionic liquids and surfactants, enhancing the solvation characteristics of the ionic liquid-surfactant system [32][33][34]. The outer-sphere electron transfer reactions of innumerable metallomicelles have been developed in our laboratory [35][36][37][38]. We have reported that both the oxidant and reductant are cations on the electron transfer between surfactant complexes with iron(II) in DPPC [35][36][37][38][39]. In the present work, we present our results on the influence of phase transition behavior in ionic liquids and liposome vesicles on the outer-sphere electron transfer between surfactant complexes containing aromatic diimine ligands and ferrocyanide ions.

Materials
The Disodium salt of EDTA, sodium nitrate and potassium ferrocyanide were acquired from Fluka, Germany, and were used without further purification. All the solvents used were of analytical grade only. The liposome vesicles and ionic liquids were acquired from Sigma-Aldrich, India, and were used as such. Phosphate buffer solutions were prepared with the help of sodium phosphate and sodium dihydrogen orthophosphate. All solvents used were of analytical grade. To prepare buffer solutions, sodium phosphate and sodium dihydrogen orthophosphate were used.
Biomimetics 2022, 7, x FOR PEER REVIEW 3 of 14 [35][36][37][38]. We have reported that both the oxidant and reductant are cations on the electron transfer between surfactant complexes with iron(II) in DPPC [35][36][37][38][39]. In the present work, we present our results on the influence of phase transition behavior in ionic liquids and liposome vesicles on the outer-sphere electron transfer between surfactant complexes containing aromatic diimine ligands and ferrocyanide ions.

Materials
The Disodium salt of EDTA, sodium nitrate and potassium ferrocyanide were acquired from Fluka, Germany, and were used without further purification. All the solvents used were of analytical grade only. The liposome vesicles and ionic liquids were acquired from Sigma-Aldrich, India, and were used as such. Phosphate buffer solutions were prepared with the help of sodium phosphate and sodium dihydrogen orthophosphate. All solvents used were of analytical grade. To prepare buffer solutions, sodium phosphate and sodium dihydrogen orthophosphate were used.

Nature of the Reaction
On mixing [Fe(CN)6] 4− and our surfactant-cobalt(III) complexes in the aqueous solution, a precipitate was formed and, therefore, homogeneous kinetic measurements were precluded. However, when Na2H2EDTA was present in the solution, no precipitate was formed during the reaction and therefore all the experiments were carried out in the presence of Na2H2EDTA. A disodium salt of ethylenediamine tetra acetic acid acted as a sequestering agent to eradicate cobalt(II) and prevented the precipitation of the cobalt(II) ion as a hexacyanoferrate salt.

Nature of the Reaction
On mixing [Fe(CN) 6 ] 4− and our surfactant-cobalt(III) complexes in the aqueous solution, a precipitate was formed and, therefore, homogeneous kinetic measurements were precluded. However, when Na 2 H 2 EDTA was present in the solution, no precipitate was formed during the reaction and therefore all the experiments were carried out in the presence of Na 2 H 2 EDTA. A disodium salt of ethylenediamine tetra acetic acid acted as a sequestering agent to eradicate cobalt(II) and prevented the precipitation of the cobalt(II) ion as a hexacyanoferrate salt.

Liposome Preparation
In the present study, unilamellar vesicles (ULV) were used and these were prepared by ethanol injection [41]. A solution of the lipid in ethanol was injected promptly into the buffer with the help of a fine needle and sustained at 50 • C under optimized conditions. The volume of ethanol injected was always <1% v/v in order to avoid any damage to the liposome. This method gave rise to a small unilamellar vesicle (SUV) in the size range of 15-25 nm [42].

Kinetic Measurements
The rate of the reaction was measured spectrophotometrically using a Shimadzu-1800 UV-Vis. spectrophotometer equipped with a water Peltier system (PCB 150). The temperature was controlled within ±0.01 • C. A solution containing the desired concentration of potassium ferrocyanide, sodium nitrate, disodium ethylenediamine tetraacetate (Na 2 H 2 EDTA), liposome/ionic liquids in oxygen-free water was placed in a 1 cm cell, which was then covered with a serum cap fitted with a syringe needle. This cell was placed in a thermostated compartment in the spectrophotometer and then the solution containing surfactant-cobalt(III) complexes was added anaerobically using the syringe, and then all increases in the absorbance of the oxidant observed at 470 nm were recorded as a function of time. The ionic strength was maintained at 1.0 mol dm −3 in all runs using NaNO 3 6 ] 4− and the slope of the pseudo-first-order plot of log(A t -A ∞ ) versus time plot, which is equal to -k[Fe(CN) 6 ] 4− /2.303, where A t is the absorbance at time t, A ∞ is the absorbance after all the cobalt(III) complexes have been reduced to cobalt(II), and k is the second-order rate constant. Generally, the value of A ∞ was measured at times corresponding to ten half-lives. All the first-order plots were significantly linear for at least five half-lives, with a correlation coefficient of >0.999. Each rate constant declared is the average result of triplicate runs. Rate constants attained from consecutive half-life values within a single run agreed to within ±5%.

Kinetics of Outer-Sphere Electron Transfer Reaction
The reduction of the surfactant-cobalt(III) complexes, cis-[Co(ip) 2 (C 12 H 25 NH 2 ) 2 ] 3+ , cis-[Co(dpq) 2 (C 12 H 25 NH 2 ) 2 ] 3+ and cis-[Co(dpqc) 2 (C 12 H 25 NH 2 ) 2 ] 3+ using ferrocyanide ions proceeds to produce aqueous cobalt. This reaction is to be outer-sphere, by comparing the pathway of similar electron transfer reactions reported in the literature [43][44][45][46]. In the present study, these cobalt(III) complexes cannot be substituted, due to the non-availability of a coordination site for an inner-sphere precursor complex. The most favorable mechanism for the second-order reaction is an outer-sphere electron transfer process which consists of three elementary steps: ion pair formation (k ip ), electron transfer (k et ), and product dissociation in Scheme 2.
In the present study, unilamellar vesicles (ULV) were used and these were prepared by ethanol injection [41]. A solution of the lipid in ethanol was injected promptly into the buffer with the help of a fine needle and sustained at 50 °C under optimized conditions. The volume of ethanol injected was always <1% v/v in order to avoid any damage to the liposome. This method gave rise to a small unilamellar vesicle (SUV) in the size range of ~15-25 nm [42].

Kinetic Measurements
The rate of the reaction was measured spectrophotometrically using a Shimadzu-1800 UV-Vis. spectrophotometer equipped with a water Peltier system (PCB 150). The temperature was controlled within ± 0.01 °C. A solution containing the desired concentration of potassium ferrocyanide, sodium nitrate, disodium ethylenediamine tetraacetate (Na2H2EDTA), liposome/ionic liquids in oxygen-free water was placed in a 1 cm cell, which was then covered with a serum cap fitted with a syringe needle. This cell was placed in a thermostated compartment in the spectrophotometer and then the solution containing surfactant-cobalt(III) complexes was added anaerobically using the syringe, and then all increases in the absorbance of the oxidant observed at 470 nm were recorded as a function of time. The ionic strength was maintained at 1.0 mol dm -3 in all runs using NaNO3. The second-order rate constant, k, for the [Fe(CN)6] 4− reduction of the cobalt(III) complexes defined by -d[Co(III)]/dt = k[Co(III)][Fe(CN)6] 4− was calculated from the concentration of [Fe(CN)6] 4− and the slope of the pseudo-first-order plot of log(At-A∞) versus time plot, which is equal to -k[Fe(CN)6] 4− /2.303, where At is the absorbance at time t, A∞ is the absorbance after all the cobalt(III) complexes have been reduced to cobalt(II), and k is the second-order rate constant. Generally, the value of A∞ was measured at times corresponding to ten half-lives. All the first-order plots were significantly linear for at least five half-lives, with a correlation coefficient of > 0.999. Each rate constant declared is the average result of triplicate runs. Rate constants attained from consecutive half-life values within a single run agreed to within ±5%.

Kinetics of Outer-Sphere Electron Transfer Reaction
The reduction of the surfactant-cobalt(III) complexes, cis-[Co(ip)2(C12H25NH2)2] 3+ , cis-[Co(dpq)2(C12H25NH2)2] 3+ and cis-[Co(dpqc)2(C12H25NH2)2] 3+ using ferrocyanide ions proceeds to produce aqueous cobalt. This reaction is to be outer-sphere, by comparing the pathway of similar electron transfer reactions reported in the literature [43][44][45][46]. In the present study, these cobalt(III) complexes cannot be substituted, due to the non-availability of a coordination site for an inner-sphere precursor complex. The most favorable mechanism for the second-order reaction is an outer-sphere electron transfer process which consists of three elementary steps: ion pair formation (kip), electron transfer (ket), and product dissociation in Scheme 2.

Effect of Electron Transfer Reaction in Vesicles and Ionic Liquid Media
The electron transfer reaction of surfactant-cobalt(III) complexes, cis-[Co(ip) 2  ferrocyanide ions in the presence of DPPC and ionic liquid mediums have been examined at different temperatures. The rate constants are provided in Table 1 and Supplementary  Information (SI) Tables S1 and S2, and the plots of k against various concentrations of DPPC are shown in Figure 1 and SI Figures S1 and S2. Comparing previous studies of electron transfer in the same liposome vesicles media, results are rather different where some of the reactants had the same charges. In the present system, comprising those of opposite charges, we have ascertained two propensities in the characteristics of the reaction with an increase in the concentration of liposome vesicles as shown in Scheme 3.

Effect of Electron Transfer Reaction in Vesicles and Ionic Liquid Media
The electron transfer reaction of surfactant-cobalt(III) complexes, cis-[Co(ip)2(C12H25NH2)2] 3+ , cis-[Co(dpq)2(C12H25NH2)2] 3+ and cis-[Co(dpqc)2(C12H25NH2)2] 3+ and ferrocyanide ions in the presence of DPPC and ionic liquid mediums have been examined at different temperatures. The rate constants are provided in Table 1 and Supplementary Information (SI) Tables S1 and S2, and the plots of k against various concentrations of DPPC are shown in Figure 1 and SI Figures S1 and S2. Comparing previous studies of electron transfer in the same liposome vesicles media, results are rather different where some of the reactants had the same charges. In the present system, comprising those of opposite charges, we have ascertained two propensities in the characteristics of the reaction with an increase in the concentration of liposome vesicles as shown in Scheme 3.

Effect of DPPC
Because of its amphiphilic nature, DPPC undergoes spontaneous aggregation in aqueous solutions. This leads to the formation of a three-dimensional closed bilayer structure known as a vesicle [47]. When the temperature is increased, these vesicles of DPPC undergo phase transitions at 40 °C [48], from the gel phase to the liquid crystalline phase. The effect of DPPC vesicles (2.0 × 10 −5 to 7.0 × 10 −5 mol dm −3 ) on the kinetics of outer-sphere electron transfer between the surfactant-cobalt(III) complexes cis-[Co(ip)2(C12H25NH2)2] 3+ , cis-[Co(dpq)2(C12H25NH2)2] 3+ and cis-[Co(dpqc)2(C12H25NH2)2] 3+ and [Fe(CN)6] 4− has been investigated at various temperatures. As we have used the ethanol injection method, the reaction medium of these electron transfer reactions should contain only unilamellar vesicles. We observed two trends in the behavior of the rate constants with varying concentrations of DPPC. Below the phase transition temperature, the rate constants decrease with increasing DPPC, whereas above this temperature the rate constants increase with DPPC. These trends were observed for both the surfactant-cobalt(III) complexes used in the present study. It is well known that when a surfactant is added to an aqueous medium containing lipid membranes, the interaction between surfactant and lipids takes place in three ways: part of the added surfactant is inserted into the outer membrane leaflet; the surfactant molecules equilibrate between the outer and inner leaflets of the vesicle; and the inner leaflet equilibrates with the interior of the vesicle [49,50]. Below the phase transition temperature, the lipid is very rigid (Scheme 3), so our surfactant-metal complexes are tightly bound to the membrane DPPC, mostly at the inner membrane leaflet. As the concentration of DPPC is increased, more of the surfactant-cobalt(III) complex will be accumulated into the DPPC interior, whereas [Fe(CN)6] 4− will be at the outer surface, so the rate constant decreases (Table 1 and SI Tables S1 and S2). However, beyond the phase transition temperature, the rigidity of the DPPC membrane is low; so when the concentration of DPPC is increased, more of the surfactant-cobalt(III) complex molecules will move from the membrane interior to the outer surface where the concentration of [Fe(CN)6] 4− is also high, causing the rate constant to increase. Additionally, the phase transition may favorably affect the reorganization energies and the free energy barrier associated with electron transfer [51]. As a result, the higher hydrophobicity of complex Cis-[Co(ip)2(C12H25NH2)2] 3+ gives a higher second-order rate constant compared to Cis-[Co(dpq)2(C12H25NH2)2] 3+ which is, in turn, higher than that of Cis-[Co(dpqc)2(C12H25NH2)2] 3+ .

Effect of DPPC
Because of its amphiphilic nature, DPPC undergoes spontaneous aggregation in aqueous solutions. This leads to the formation of a three-dimensional closed bilayer structure known as a vesicle [47]. When the temperature is increased, these vesicles of DPPC undergo phase transitions at 40 • C [48], from the gel phase to the liquid crystalline phase. The effect of DPPC vesicles (2.0 × 10 −5 to 7.0 × 10 −5 mol dm −3 ) on the kinetics of outer-sphere electron transfer between the surfactant-cobalt(III) complexes cis-[Co(ip) 2 (C 12 H 25 NH 2 ) 2 ] 3+ , cis-[Co(dpq) 2 (C 12 H 25 NH 2 ) 2 ] 3+ and cis-[Co(dpqc) 2 (C 12 H 25 NH 2 ) 2 ] 3+ and [Fe(CN) 6 ] 4− has been investigated at various temperatures. As we have used the ethanol injection method, the reaction medium of these electron transfer reactions should contain only unilamellar vesicles. We observed two trends in the behavior of the rate constants with varying concentrations of DPPC. Below the phase transition temperature, the rate constants decrease with increasing DPPC, whereas above this temperature the rate constants increase with DPPC. These trends were observed for both the surfactant-cobalt(III) complexes used in the present study. It is well known that when a surfactant is added to an aqueous medium containing lipid membranes, the interaction between surfactant and lipids takes place in three ways: part of the added surfactant is inserted into the outer membrane leaflet; the surfactant molecules equilibrate between the outer and inner leaflets of the vesicle; and the inner leaflet equilibrates with the interior of the vesicle [49,50]. Below the phase transition temperature, the lipid is very rigid (Scheme 3), so our surfactant-metal complexes are tightly bound to the membrane DPPC, mostly at the inner membrane leaflet. As the concentration of DPPC is increased, more of the surfactant-cobalt(III) complex will be accumulated into the DPPC interior, whereas [Fe(CN) 6 ] 4− will be at the outer surface, so the rate constant decreases (Table 1 and SI Tables S1 and S2). However, beyond the phase transition temperature, the rigidity of the DPPC membrane is low; so when the concentration of DPPC is increased, more of the surfactant-cobalt(III) complex molecules will move from the membrane interior to the outer surface where the concentration of [Fe(CN) 6 ] 4− is also high, causing the rate constant to increase. Additionally, the phase transition may favorably affect the reorganization energies and the free energy barrier associated with electron transfer [51]. As a result, the higher hydrophobicity of complex Cis-[Co(ip) 2 (C 12 H 25 NH 2 ) 2 ] 3+ gives a higher second-order rate constant compared to Cis-[Co(dpq) 2 (C 12 H 25 NH 2 ) 2 ] 3+ which is, in turn, higher than that of Cis-[Co(dpqc) 2 (C 12 H 25 NH 2 ) 2 ] 3+ .

Effect of Ionic Liquids
The electron transfer reaction of the same complexes in the presence of ionic liquids has been studied. The effect of ionic liquid mediums on the kinetics of electron transfer regarding the oxidants and ferrocyanide ions has been examined at different temperatures. The observed second-order rate constants are given in Table 2 and SI Tables S3 and S4 and the plot of k against various concentrations of ionic liquids is shown in Figure 2 and SI Figures S3 and S4 for the above reaction, at various temperatures. As seen from these tables, the rate constant of the reaction continues to increase with an increase in the concentration of ionic liquids from 1.4 × 10 −3 to 2.6 × 10 −3 mol dm −3 . As the cation of the ionic liquid used has an inherent amphiphilicity, it can interact with the long aliphatic double chain of the surfactant-cobalt(III) complexes, meaning that the specific structures before and after aggregation consist of well-aligned cation-anion aggregates. In the initial aggregation, the surfactant complexes and [Fe(CN) 6 ] 4− ions were far apart from the ionic liquid pool, so the rate constant did not increase significantly. After aggregation, the surfactant complexes and [Fe(CN) 6 ] 4− ions moved toward the "ionic liquids pool" surface. As a result of charge neutralization or charge creation, a marginal contribution to the activation volume is expected. Thus, the ionic liquids consisting of charged ions should be energetically favored, which could lead to an increase in the reaction rate with increasing concentrations of ionic liquid reactants existing in small volumes, leading to a higher rate and lower activation energy. This aggregation leads to higher local concentration of reactants leading to an increase in the rate of the reaction. Hence, the rate of the outer-sphere electron transfer reaction of the present study increases with an increase in the concentration of the ionic liquid. As changes in amphiphilicity of the transition state can cause large effects in terms of electrostriction/solvation in ionic liquids [52], the ionic liquid mediums facilitates more aggregation of the surfactant-cobalt(III) complexes, which increases with an increase in the concentration of the ionic liquid. As seen from Table 2 and SI Tables S3 and S4, the rate constant values of the surfactant-cobalt(III) complexes (Figure 2 and SI Figures S3  and S4) of the present study are very much different from one another. This difference in the rate constant values between the surfactant-cobalt(III) complexes of the present study are explained as follows: the rate constant value of the surfactant-cobalt(III) complexes containing ip and dpq ligands is lower than that of the corresponding surfactant-cobalt(III) complexes containing dpqc ligands in all the initial concentrations studied. Due to high hydrophobicity of dpqc-ligands-containing complex, the numbers of micelles formed from these complex molecules are more than those of ip-and dpq-containing complexes at the same concentration values. Hence, dpqc-containing complexes enhance the overall rate of the reaction. Among these surfactant-cobalt(III) complexes containing ip, dpq and dpqc ligands, the rate constant values of the dpqc complexes are the highest due to the greater hydrophobicity of the ligand. In the previous reports [36] of the electron transfer reaction in this media with Fe 2+ , it was established that amphiphilicity influenced the reaction rates. On comparing the previous reports of rate constant to those of the present study, the reaction rate is increased due to the increase in size of the amine ligand which increases the amphiphilicity of the oxidants which speeds up aggregation, leading to higher reaction rates of the outer sphere.

Oxidants with Self-Aggregation-Forming Capacity
The self-aggregation of each complex indicates its respective self-aggregation forming capacity. Lower critical micelle concentration value indicates higher aggregationforming capacity. The difference in the self-aggregation between various surfactant-cobalt(III) complexes in the present study (Table 2 and SI Tables S3 and S4) are explained as follows: for all types of complexes, it has been observed that the critical micelle concentration value of each double-chain oxidant is lower than the respective single-chain surfactant complexes. The CMC value of each of the surfactant-cobalt(III) complex is lower than the respective single-chain surfactant complexes. Because of these extending the aromaticity of ligands, the oxidants become more aggregated, which increases the possibility of these oxidants forming self-aggregation. The order of aggregation-forming capacity of the oxidants is as follows: Cis-[Co(ip)2(C12H25NH2)2] 3+ < Cis-[Co(dpq)2(C12H25NH2)2] 3+ < Cis-[Co(dpqc)2(C12H25NH2)2] 3+ .

Activation Parameters
The effect of temperature on the rate was studied at 298, 303, 308, 313, 318, and 323 K for all rate constant tables for DPPC and ionic liquid mediums in order to obtain the activation parameters for the reaction of oxidants and the reductant of ferrocyanide ions. Figure 2 and SI Figures S3 and S4 show that increasing the temperature rate constant increases in ionic liquids, and Figure 1 and SI Figures S1 and S2 show that increasing the temperature (above phase transition) increases the reaction rate, while it decreases the

Oxidants with Self-Aggregation-Forming Capacity
The self-aggregation of each complex indicates its respective self-aggregation forming capacity. Lower critical micelle concentration value indicates higher aggregation-forming capacity. The difference in the self-aggregation between various surfactant-cobalt(III) complexes in the present study (Table 2 and SI Tables S3 and S4) are explained as follows: for all types of complexes, it has been observed that the critical micelle concentration value of each double-chain oxidant is lower than the respective single-chain surfactant complexes. The CMC value of each of the surfactant-cobalt(III) complex is lower than the respective single-chain surfactant complexes. Because of these extending the aromaticity of ligands, the oxidants become more aggregated, which increases the possibility of these oxidants forming self-aggregation. The order of aggregation-forming capacity of the oxidants is as follows: Cis-[Co(ip) 2 (C 12 H 25 NH 2 ) 2 ] 3+ < Cis-[Co(dpq) 2 (C 12 H 25 NH 2 ) 2 ] 3+ < Cis-[Co(dpqc) 2 (C 12 H 25 NH 2 ) 2 ] 3+ .

Activation Parameters
The effect of temperature on the rate was studied at 298, 303, 308, 313, 318, and 323 K for all rate constant tables for DPPC and ionic liquid mediums in order to obtain the activation parameters for the reaction of oxidants and the reductant of ferrocyanide ions. Figure 2 and SI Figures S3 and S4 show that increasing the temperature rate constant increases in ionic liquids, and Figure 1 and SI Figures S1 and S2 show that increasing the temperature (above phase transition) increases the reaction rate, while it decreases the reaction rate of electron transfer reactions in DPPC at below-phase-transition temperatures.

Isokinetic Plots
In order to investigate the change in the mechanistic pathway of the OET with respect to the change in the concentration of liposome vesicles and ionic liquids at different phase transitions of oxidants, from the transition state theory [53,54], the values of entropy and enthalpy were determined by plotting ln(k/T) versus 1/T, and the plots are shown in Figures 3 and 4 and SI Figures S5-S8. The ∆S # and ∆H # values obtained are shown in Tables 3 and 4 and SI Tables S5-S8. As seen from these tables, the value of entropy is positive for all the reactions in both media, testifying that the formation of activated complexes is endothermic. In ionic liquids and liposome media, the entropy values are found to be negative in directions and in all the concentrations of oxidants used, indicative of a more ordered structure of the transition state. This is consistent with a model in which the oxidant and reductant bind to the liposome in the transition state. In such a case, the transition state complex attracts the surrounding water molecules, with the positive and negative charges of the ion pair leading to loss of freedom of the solvent molecules in the transition state [31]. In order to check for any change in the mechanism occurring during the electron transfer reaction with respect to the change in concentration of liposome and ionic liquids of oxidants, we have calculated the entropy and enthalpy and made isokinetic plots for the electron transfer reactions of the oxidants under study. The linearity of the plot of entropy of activation versus enthalpy of activation ( Figures 5 and 6 and SI Figures S9-S12) establishes the existence of a common mechanism with respect to the change in the initial concentration of oxidants. In order to investigate the change in the mechanistic pathway of the OET with respect to the change in the concentration of liposome vesicles and ionic liquids at different phase transitions of oxidants, from the transition state theory [53,54], the values of entropy and enthalpy were determined by plotting ln(k/T) versus 1/T, and the plots are shown in Figures 3 and 4 and SI Figures S5-S8. The ΔS # and ΔH # values obtained are shown in Tables 3 and 4 and SI Tables S5-S8. As seen from these tables, the value of entropy is positive for all the reactions in both media, testifying that the formation of activated complexes is endothermic. In ionic liquids and liposome media, the entropy values are found to be negative in directions and in all the concentrations of oxidants used, indicative of a more ordered structure of the transition state. This is consistent with a model in which the oxidant and reductant bind to the liposome in the transition state. In such a case, the transition state complex attracts the surrounding water molecules, with the positive and negative charges of the ion pair leading to loss of freedom of the solvent molecules in the transition state [31]. In order to check for any change in the mechanism occurring during the electron transfer reaction with respect to the change in concentration of liposome and ionic liquids of oxidants, we have calculated the entropy and enthalpy and made isokinetic plots for the electron transfer reactions of the oxidants under study. The linearity of the plot of entropy of activation versus enthalpy of activation ( Figures 5 and 6 and SI Figures S9-S12) establishes the existence of a common mechanism with respect to the change in the initial concentration of oxidants.