Experimental Observation of a Peculiar Effect in Electron Paramagnetic Resonance Spectra for Nitroxides Undergoing Fast Spin Exchange: Emission.

We report the experimental observation of an EPR spectral manifestation of spin exchange frequencies, ωex, larger than the 15N hyperfine separation, A0, predicted 50 years ago but previously not observed. For spectra with ωex/γA0 < 1, where γ is the gyromagnetic ratio of the electron, the spectrum consists of two "normal" spin modes each with one absorption and one dispersion component separated by Aabs < A0. Aabs decreases with ωex. In stark contrast, when ωex/γA0 > 1, the spectrum consists of two absorption spin modes, one of which is negative (emissive). We show that the experimental behavior of the spin modes agrees with theory: (a) the doubly integrated intensity of the first-derivative spectra remains constant because the increased intensity of the positive spin mode minus the negative emissive mode remains constant; (b) the value of the spin exchange rate constant Kex = ωex/C, where C is the molar concentration, is continuous through ωex/γA0 = 1.

A comparison of pulse and CW EPR T2-relaxation measurements of an inhomogeneously broadened nitroxide spin probe undergoing Heisenberg spin exchange.

Nitroxide spin probes are inhomogeneously broadened (IHB) by intramolecular hyperfine interactions with protons (deuterons) producing lines of Voigt shape. Thus, to study T2 relaxation by continuous wave (CW) EPR, the Voigt must be deconvoluted to find the Lorentzian component. For homogeneously broadened lines, T2 is obtained directly from the Lorentzian line widths ΔHppL; however, for IHB lines finding T2 from ΔHppL is more complicated. It has been known for many years that values of ΔHppL of high precision may be obtained from IHB lines; however, direct, accurate comparison of spin exchange frequencies obtained from electron spin echo decay and CW EPR data has been lacking. It is demonstrated here that despite complications in the interpretation of experiments, these two techniques yield the same spin exchange rate constant for spin probes that are the most difficult to treat.

Experimental Observation of a Peculiar Effect in Saturated Electron Paramagnetic Resonance Spectra Undergoing Spin Exchange. Magnetic Polariton?

We report the experimental observation of a spectral manifestation of a magnetic polariton that was theoretically predicted last year. This unprecedented manifestation is demonstrated not only for 15N-enriched peroxylamine disulfonate, a radical that adheres strictly to the assumptions of the theory, but also for a radical, 4-oxo-2,2,6,6-tetramethylpiperidine-d16;1-15N-1-oxyl, that departs somewhat from the assumptions, as well as the Galvinoxyl radical that represents a severe departure. The magnetic polariton is likely to be of interest to physical chemists in other fields because of the intrinsic advantage of a finite basis set in developing theories.

EPR Line Shifts and Line Shape Changes Due to Spin Exchange Between Nitroxide Free Radicals in Liquids 10. Spin-Exchange Frequencies of the Order of the Nitrogen Hyperfine Interaction: A Hypothesis.

The behavior of Electron paramagnetic resonance spectra due to 15N and 14N nitroxide free radicals undergoing spin exchange in liquids at high frequencies ωex , of the same order of magnitude as the nitrogen hyperfine coupling constant A0 is investigated. The well known features are reconfirmed: (1) at low values of ωex where the lines broaden, shift toward the center of the spectrum, and change shape due to the introduction of a resonance of the form of a dispersion component; (2) at values of ωex comparable to A0, the line merge into one; and (3) at values much larger than A0, the merged line narrows. It is found that each line of a spectrum may be decomposed into an admixture of a single absorption and a single dispersion component of Lorentzian shape. These two- or three-line absorption-dispersion admixtures, for 15N and 14N, respectively, retain their individual identities even after the spectrum has merged and has begun to narrow. For both isotopes, the average broadening and integrated intensities are equal to the predictions of perturbation theory although, in the case of 14N the outer lines broaden faster than the central line and intensity moves from the outer lines to the center line. In fact, the outer line intensity becomes zero and then negative at higher values of ωex which is compensated by the center line becoming more intense than the overall integrated intensity. For both isotopes, the dispersion components and the line shift depart from the perturbation prediction. The results are presented in terms of measurable quantities normalized to A0 so that they may be applied to any two- or three-line spectrum.

A Simple Analytical Approximation to an Inhomogeneously-Broadened Dispersion Spectrum. Application to Absorption-Dispersion Admixtures.

A simple analytical approximation to an inhomogeneously-broadened dispersion signal is proposed and tested with resonance lines broadened by unresolved hyperfine structure. Spectral parameters may be rapidly and accurately extracted using a nonlinear least-squares fitting algorithm. Combining the new approximation to a dispersion signal with a well-known approximation to the absorption signal allows dispersion-absorption admixtures, a problem of growing importance, to be analyzed quickly and accurately. For pure dispersion signals, the maximum difference between the fit and the signal for unresolved lines is 1.1 % of the maximum intensity. For pure absorption, the difference is 0.33 % of the peak-to-peak intensity, and for admixtures up to 40 % dispersion (maximum intensity/peak-to-peak intensity), the difference is 0.7 %. The accuracy of the recovered spectral parameters depends on the degree of inhomogeneously-broadened and the percentage admixture, but they are generally about 1 % at most. A significant finding of the work is that the parameters pertinent to the dispersion or the absorption are insignificantly different when fitting isolated lines vs. fitting admixtures. Admixtures with added noise or an unsuspected extraneous line are investigated.

EPR line shifts and line shape changes due to Heisenberg spin exchange and dipole-dipole interactions of nitroxide free radicals in liquids: 9. An alternative method to separate the effects of the two interactions employing ¹5N and ¹4N.

A method to separate the effects of Heisenberg spin exchange (HSE) and dipole-dipole (DD) interactions on EPR spectra of nitroxide spin probes in solution by employing (15)N and (14)N nitroxide spin probes in parallel experiments is developed theoretically and tested experimentally. Comprehensive EPR measurements are reported of 4-oxo-2,2,6,6-tetramethylpiperidine-d16;1-(15)N-1-oxyl (perdeuterated (15)N Tempone; 15pDT), in 70 wt % aqueous glycerol as functions of concentration and temperature. The method, termed the relative broadening constant method (RBCM), is demonstrated by using the present results together with those in the literature that employed perdeuterated (14)N Tempone (14pDT) under identical conditions. In principle, the separation of DD and HSE is dependent on the model of diffusion and molecular-kinetic parameters; however, within present day experimental uncertainties, the RBCM method turns out to be insensitive to the model. The earlier methods to separate DD and HSE by measuring the dispersion component introduced by the two interactions shows general agreement with the RBCM; however, there are discrepancies larger than estimated uncertainties due to random errors. Thus, further support is found for Salikhov's recent theory of the effects of DD and HSE on EPR spectra (Appl. Magn. Reson. 2010, 38, 237); however, detailed confirmation is still lacking. The RBCM affords a possible approach to separate HSE and DD in spectra complicated by slow motion and/or overlap with other resonance lines, allowing the method to be used in situations more complicated than low-viscosity simple liquids.

Hydrodynamic and nonhydrodynamic contributions to the bimolecular collision rates of solute molecules in supercooled bulk water.

Bimolecular collision rate constants of a model solute are measured in water at T = 259-303 K, a range encompassing both normal and supercooled water. A stable, spherical nitroxide spin probe, perdeuterated 2,2,6,6-tetramethyl-4-oxopiperidine-1-oxyl, is studied using electron paramagnetic resonance spectroscopy (EPR), taking advantage of the fact that the rotational correlation time, τ(R), the mean time between successive spin exchanges within a cage, τ(RE), and the long-time-averaged spin exchange rate constants, K(ex), of the same solute molecule may be measured independently. Thus, long- and short-time translational diffusion behavior may be inferred from K(ex) and τ(RE), respectively. In order to measure K(ex), the effects of dipole-dipole interactions (DD) on the EPR spectra must be separated, yielding as a bonus the DD broadening rate constants that are related to the dephasing rate constant due to DD, W(dd). We find that both K(ex) and W(dd) behave hydrodynamically; that is to say they vary monotonically with T/η or η/T, respectively, where η is the shear viscosity, as predicted by the Stokes-Einstein equation. The same is true of the self-diffusion of water. In contrast, τ(RE) does not follow hydrodynamic behavior, varying rather as a linear function of the density reaching a maximum at 276 ± 2 K near where water displays a maximum density.

Rotation of Four Small Nitroxide Probes in Supercooled Bulk Water.

Using a precise method of least-squares nonlinear electron paramagnetic resonance (EPR) line fitting, we have obtained experimental evidence of a decoupling of the rotational motion of four nitroxide spin probes from the viscosity of bulk water at 277 K. This decoupling is about 50 K higher than another such phenomenon observed in interstitial supercooled water of polycrystalline ice by Banerjee et al. (Proc Natl Acad Sci USA 106 (2009) 11448-11453). Above 277 K the activation energies of the rotation of the probes and water viscosity are very close, while in the supercooled region the activation energies of the probes' rotation are greater than that of the viscosity of water. The rotational correlation times of the probes can be fit well to a power law functionality with a singular temperature. The temperature dependence of the hydrodynamic radii of the probes indicates two distinct dynamical regions, which cross at 277 K.

Bimolecular encounters and re-encounters (cage effect) of a spin-labeled analogue of cholestane in a series of n-alkanes: effect of anisotropic exchange integral.

Electron paramagnetic resonance (EPR) spectra of the nitroxide spin probe 3ß-doxyl-5α-cholestane (CSL) are studied as functions of the molar concentration, c, and the temperature, T, in a series of n-alkanes. The results are compared with a similar study of a much smaller spin probe, perdeuterated 2,2,6,6-tetramethyl-4-oxopiperidine-1-oxyl (pDT). The Heisenberg spin exchange (HSE) rate constants, K(ex), of CSL are similar in hexane, octane, and decane and are about one-half of those for pDT in the same solvents. They are also about one-half of the Stokes-Einstein-Perrin prediction. This reduction in HSE efficiency is attributed to an effective steric factor, f(eff), which was evaluated by comparing the results with the Stokes-Einstein-Perrin prediction or with pDT, and it is equal to 0.49 ± 0.03, independent of temperature. The unpaired spin density in CSL is localized near one end of the long molecule, so the exchange integral, J, leading to HSE, is expected to be large in some collisions and small in others; thus, J is modeled by an ideal distribution of values of J = J(0) with probability f and J = 0 with probability (1 - f). Because of rotational and translation diffusion during contact and between re-encounters of the probe, the effective steric factor is predicted to be f(eff) = f(1/2). Estimating the fraction of the surface of CSL with rich spin density yields a theoretical estimate of f(eff) = 0.59 ± 0.08, in satisfactory agreement with experiment. HSE is well described by simple hydrodynamic theory, with only a small dependence on solvent-probe relative sizes at the same value of T/η, where η is the viscosity of the solvent. This result is probably due to a fortuitous interplay between long- and short-range effects that describe diffusion processes over relatively large distances. In contrast, dipole-dipole interactions (DD) as measured by the line broadening, B(dip), and the mean time between re-encounters within the cage, τ(RE), vary significantly with the solvent-probe size ratio at the same value of T/η. For these phenomena, dominated by short-range diffusion, the reciprocal fractional free volume V(0)/V(f) provides a better description of the diffusion. Thus, B(dip) and τ(RE) form common curves when plotted vs V(0)/V(f). As a result, the fractional broadening by DD occurs at an order of magnitude higher values of T/η for CSL compared with pDT.

Electron paramagnetic resonance line shifts and line shape changes due to heisenberg spin exchange and dipole-dipole interactions of nitroxide free radicals in liquids 8. Further experimental and theoretical efforts to separate the effects of the two interactions.

The work in part 6 of this series (J. Phys. Chem. A 2009, 113, 4930), addressing the task of separating the effects of Heisenberg spin exchange (HSE) and dipole-dipole interactions (DD) on electron paramagnetic resonance (EPR) spectra of nitroxide spin probes in solution, is extended experimentally and theoretically. Comprehensive measurements of perdeuterated 2,2,6,6-tetramethyl-4-oxopiperidine-1-oxyl (pDT) in squalane, a viscous alkane, paying special attention to lower temperatures and lower concentrations, were carried out in an attempt to focus on DD, the lesser understood of the two interactions. Theoretically, the analysis has been extended to include the recent comprehensive treatment by Salikhov (Appl. Magn. Reson. 2010, 38, 237). In dilute solutions, both interactions (1) introduce a dispersion component, (2) broaden the lines, and (3) shift the lines. DD introduces a dispersion component proportional to the concentration and of opposite sign to that of HSE. Equations relating the EPR spectral parameters to the rate constants due to HSE and DD have been derived. By employing nonlinear least-squares fitting of theoretical spectra to a simple analytical function and the proposed equations, the contributions of the two interactions to items 1-3 may be quantified and compared with the same parameters obtained by fitting experimental spectra. This comparison supports the theory in its broad predictions; however, at low temperatures, the DD contribution to the experimental dispersion amplitude does not increase linearly with concentration. We are unable to deduce whether this discrepancy is due to inadequate analysis of the experimental data or an incomplete theory. A new key aspect of the more comprehensive theory is that there is enough information in the experimental spectra to find items 1-3 due to both interactions; however, in principle, appeal must be made to a model of molecular diffusion to separate the two. The permanent diffusion model is used to illustrate the separation in this work. In practice, because the effects of DD are dominated by HSE, negligible error is incurred by using the model-independent extreme DD limit of the spectral density functions, which means that DD and HSE may be separated without appealing to a particular model.

Experimental method to measure the effect of charge on bimolecular collision rates in electrolyte solutions.

A stable, monoprotic nitroxide spin probe is utilized as a model to study molecular collisions in aqueous electrolyte solutions. The rate constants of bimolecular collisions, K(col) for 2,2,5,5-tetramethylpyrrolidin-1-oxyl-3-carboxylic acid (CP) when it is uncharged (at low pH) and K(col)⁻ when it is charged (CP⁻; at high pH), are measured as functions of temperature and ionic strength. The ratio f* ≡ K(col)⁻/K(col) is a direct measure of the effect of charge on the collision rate. Neglecting the small differences in size and diffusion coefficients of CP and CP⁻, f* is the fractional change in collision rate due to Coulomb repulsion which was treated theoretically in Debye's classic paper [Trans. Electr. Chem. Soc. 1942, 82, 265]. K(col) and K(col)⁻ are determined from EPR spectral changes due to spin-spin interactions which are dominated by Heisenberg spin exchange under the conditions of these experiments. Values of f* vary linearly with values of κ · d in the range 0.4 < κ · d < 1.8, where κ and d are the inverse Debye screening length and the distance at closest approach, respectively. Values of d obtained in two independent ways, (1) from rotational correlation times measured by EPR and (2) by insisting that the experimental results be consistent with the Debye theory at infinite dilution, yield similar results. As the ionic strength is increased (κ increased), the screening effect reduces the effect of the Coulomb barrier more slowly than predicted by the Debye theory. While values of K(col) and K(col)⁻ vary substantially with T, approximately following the Stokes-Einstein-Smoluchowski equation, values of f* depend only slightly on temperature at a given value of κ · d, as is predicted by Debye's theory.

Electron paramagnetic resonance study of the surface hydration of Triton X-100 micelles in water with added monovalent alkali salts.

The hydrophobic spin probe 2,2,6,6-tetramethyl-piperidin-1-oxyl-4-yl octadecanoate (TEMPO-stearate) was used to study the hydration of the polar shell of Triton X-100 micelles as functions of the concentration of the electrolytes KCl, NaCl, and LiCl and temperature. It was shown that the hydration of the polar shell of the Triton X-100 micelle decreases with both increasing electrolyte concentration and increasing temperature. The effect of Li(+) on the hydration of the polar shell was found to be smaller than those of Na(+) and K(+), which have almost identical behavior. The effective water concentration decreases from 18.3 to 15.8 M for LiCl and from 18.3 to 13.9 M for NaCl and KCl when the concentration of the electrolyte in the solution increases from 0 to 2.5 M. The dehydration of the polar shell was correlated to the average value of the cation hydration number calculated from literature data; the greater the cation hydration number, the greater the dehydration for the same increase in electrolyte concentration. Also, it was shown that the cloud point is strongly correlated to the hydration of the polar shell.

Electron paramagnetic resonance line shifts and line shape changes due to spin exchange of nitroxide free radicals in liquids. 7. Singly charged surfactant nitroxide.

EPR spectra of aqueous solutions of the singly charged surfactant nitroxide 4-[N,N-dimethyl-N-(ndodecyl) ammonium]-2,2,6,6-tetramethylpiperidinyl-N-oxy bromide-d16 (DCAT12) are studied as functions of the molar concentration, c = 0.1-8 mM, and the temperature from 273 to 353 K. This concentration range is below the critical micelle concentration, cmc, at which DCAT12 forms micelles. Spin-spin broadening of the EPR lines averaged over the three lines is separated into contributions due to spin exchange, , and dipolar, , interactions yielding values of the fractional broadening by spin exchange, Omega(T), that vary from near unity at 353 K to approximately 50% at 273 K. This compares with a variation from unity to approximately 77% for a neutral spin probe perdeuterated 2,2,6,6-tetramethyl-4-oxopiperidine-1-oxyl (PDT) over the same range. Unlike PDT and the Stokes-Einstein prediction, the broadening constant by spin exchange, d/dc, is not linear with T/eta, where eta is the shear viscosity, instead following a quadratic dependence. Nevertheless, d/dc is remarkably close to a hydrodynamic prediction using the Stokes-Einstein equation modified to take the spin probe charge into account. Compared with PDT, values of d/dc are decreased and d/dc increased at all temperatures, while the values of the re-encounter rate, tau(RE)(-1), deduced from line shifts, are reduced. Interestingly, values of d/dc, Omega(T), and tau(RE)(-1) are comparable for PDT and DCAT12 when compared at the same rotational diffusion rates.

EPR line shifts and line shape changes due to spin exchange of nitroxide free radicals in liquids: 6. Separating line broadening due to spin exchange and dipolar interactions.

EPR spectra of perdeuterated 2,2,6,6-tetramethyl-4-oxopiperidine-1-oxyl (PDT) are studied as functions of molar concentration, c, and temperature, T, in water and 70 wt % glycerol in water. The increase of the intrinsic line width averaged over the three hyperfine lines, B(tot), varies linearly with c with zero intercept in both solvents at all temperatures; therefore dB(tot)/dc is independent of c. The spin exchange induced dispersion, from which the spin exchange frequency, omega(e), may be computed, increases linearly with B(tot), passing through the origin in water and in 70% glycerol at high temperatures; however, at low temperatures, where dipolar interactions broaden the spectra, linearity does not prevail until B(tot) > 1 G due to a contribution of dipolar interactions to the dispersion. The broadening constant due to spin exchange, dB(e)/dc, is found from the slope of the linear region, permitting a computation of the dipolar constant, dB(dip)/dc = dB(tot)/dc - dB(e)/dc. Thus, the separation of concentration broadening into spin exchange and dipolar contributions is effected without having to appeal to some supposed temperature dependence of the two interactions. The fractional broadening by spin exchange, Omega(T), is near unity at high temperatures in both solvents, decreasing to zero in 70% glycerol at 273 K. Omega(T) is a continuous function of the inverse rotational correlation time of PDT but is discontinuous as a function of T/eta where eta is the shear viscosity. Omega(T) = 0.5, where spin exchange and dipolar interactions contribute equally to the line width occurs at T/eta = 20 +/- 1 K/cP in 70% glycerol. Hydrodynamic predictions of dB(e)/dc via the Stokes-Einstein (SE) equation are remarkably accurate in 70% glycerol comparable with the results in a series of alkanes. In water, dB(e)/dc is linear with T/eta with zero intercept as required by the SE; however, with slope a factor of 0.73 smaller. dB(dip)/dc is reasonably predicted by the SE only at very small values of eta/T very quickly following an approximately logarithmic dependence rather that the linear prediction. Values of dB(dip)/dc approach a plateau above eta/T = 0.20 cP/K that is about one-half the solid state limit. Line shifts due to spin exchange are not yet useful to deduce values of Omega(T) due to a lack of knowledge of the time between re-encounters; however, they may be used to verify the values determined from line broadening and spin exchange induced dispersion. Some effects at low temperatures in 70% glycerol suggest that the effects of dipolar interaction are inadequately described by the widely accepted theory.

Nitroxide spin exchange due to re-encounter collisions in a series of n-alkanes.

Bimolecular collisions between perdeuterated 2,2,6,6-tetramethyl-4-oxopiperidine-l-oxyl molecules in three alkanes have been studied by measuring the electron paramagnetic resonance (EPR) spectral changes induced by spin exchange. We define an "encounter" to be a first-time collision followed by a series of re-encounters prior to the diffusing pair's escaping each other's presence. The present work stems from a recent proposal [B. L. Bales et al., J. Phys. Chem. A 107, 9086 (2003)] that an unexpected linear dependence of the spin-exchange-induced EPR line shifts on spin-exchange frequency can be explained by re-encounters of the same probe pair during one encounter. By employing nonlinear least-squares fitting, full use of the information available from the spectral changes allows us to study encounters and re-encounters separately. The encounter rate constants appear to be dominated by hydrodynamic forces, forming a common curve for hexane, decane, and hexadecane when plotted against T/eta, where eta is the shear viscosity. Unexpectedly, encounters are not dependent on the ratio mu = a/a(s), where a and a(s) are the van der Waals radii of the nitroxide probe and the solvent, respectively. It is argued that the near coincidence of the resulting encounter rate constant with the hydrodynamic prediction is likely due to a near cancellation of terms in the general diffusion coefficient. Thus, the semblance of hydrodynamic behavior is coincidental rather than intrinsic. In contrast, the mean times between re-encounters do depend on the relative sizes of probe and solvent. For hexane at lower temperatures, the Stokes-Einstein equation apparently describes re-encounters well; however, at higher temperatures and for decane and hexadecane, departures from the hydrodynamic prediction become larger as mu becomes smaller. This is in qualitative agreement with the theory of microscopic diffusion of Hynes et al. [J. Chem. Phys. 70, 1456 (1979)]. These departures are well correlated with the free volume available in the solvent; thus, the mean times between re-encounters form a common curve when plotted versus the free volume. Because free volume is manifested macroscopically by the isothermal compressibility, it is expected and observed that the re-encounter rate also forms a common curve across all three solvents when plotted with respect to compressibility. The existence of a common curve for alkanes raises the prospect of using EPR to determine the compressibility of substances such as fossil fuels and biological membranes.

EPR line shifts and line shape changes due to spin exchange of nitroxide-free radicals in liquids 4. Test of a method to measure re-encounter rates in liquids employing 15N and 14N nitroxide spin probes.

EPR line shifts due to spin exchange of perdeuterated 2,2,6,6-tetramethyl-4-oxopiperidine-1-oxyl (14N-PDT) in aqueous solutions and the same probe isotopically substituted with 15N (15N-PDT) were measured from 293 to 338 and 287 to 353 K, respectively. Nonlinear least-squares fits of the EPR spectra yielded the resonance fields of the nitrogen hyperfine lines to high precision from which the shifts were deduced. The shifts are described by two terms: one linear and the other quadratic in the electron spin-exchange frequency, omegae. The quadratic term is due to spin exchange that occurs when two spin probes diffuse together and collide. A linear term is predicted for spin exchanges that occur upon re-encounter of the same two probes while they occupy the same "cage" before diffusing apart. The quadratic term has no adjustable parameters, while the linear term has one: the mean time between re-encounters, tauRE. The theory is cast in terms of the spin-exchange-induced line broadening that can be measured from each spectrum independently of the line shifts, thereby removing the explicit dependence of omegae on the temperature and the spin-probe concentration. In this form, theoretically, the value of the linear term is about a factor of 2 larger for 15N-PDT than for 14N-PDT for all temperatures; however, tauRE must be the same. Experimentally, we find that both of these expectations are fulfilled, providing strong support that the linear term is indeed due to re-encounter collisions. Values of tauRE derived from 14N-PDT and 15N-PDT are of the same order of magnitude and show the same trend with temperature as a hydrodynamic estimate based on the Stokes-Einstein equation.

Effect of lysophosphatidylcholine on the surface hydration of phospholipid vesicles.

The interfacial properties of the negatively charged dimyristoyl-phosphatidylglycerol (DMPG) and the zwitterionic dimyristoyl-phosphatidylcholine (DMPC) vesicles mixed with the fusion inhibitor lysomyristoylphosphatidylcholine (LMPC) are investigated by electron paramagnetic resonance (EPR). At 35 degrees C, addition of 20 mol% of LMPC to the DMPG vesicles increases the effective concentration of water in the interfacial layer of DMPG vesicles from 19.3 M to 27.7 M, whereas in the case of mixed DMPC-LMPC vesicle the effective water concentration in the interfacial layer of DMPC vesicles only changes from 15.1 M to 18.4 M. The hydrogen bonding structure in both mixed DMPG-LMPC and mixed DMPC-LMPC vesicles becomes stronger with an increasing fraction of LMPC in the vesicles. The average area per phospholipid decreases in mixed DMPC-LMPC vesicles, while it increases in mixed DMPG-LMPC vesicles as the proportion of LMPC in the vesicle increases. The inhibitory nature of LMPC in both vesicle and biological fusion comes from the increase in surface hydration, as well as from the dynamic cone shape of LMPC in the phospholipid bilayer.

Location of spectroscopic probes in self-aggregating assemblies. II. The location of pyrene and other probes in sodium dodecyl sulfate micelles.

The location of pyrene in sodium dodecyl sulfate (SDS) micelles is determined as a function of the aggregation number, N, by exploiting the fact that spin probes 5- and 16-doxyl stearic acid methyl esters (5DSE and 16DSE, respectively) are effective quenchers of pyrene fluorescence. The locations of the two spin probes are known from Part 1 of this series (J. Phys. Chem. B 2006, 110, 9791) and the distance between the probes and pyrene is determined by using a hydrodynamic theory to predict the quenching rate constant. The hydrodynamic theory requires the microviscosity of the regions through which the probe and pyrene diffuse. The same spin probe that serves as quencher provides a measure of the microviscosity; thus, all the information needed to locate pyrene is available from each spin probe. Employing 5DSE, at N = 53, pyrene is found to diffuse through a zone 67% of which lies within the Stern layer and 33% in the core. As the micelle grows, due to increasing either the surfactant or added-salt concentration, this diffusion zone moves outward such that, at N = 130, near the sphere-rod transition, it lies approximately 75% within the Stern layer and 25% in the core. Employing 16DSE, the location of pyrene is within 0.4 A of that found from 5DSE at low values of N and within 0.8 A at high values. Full information required to locate pyrene by using the currently developed method is not yet available for other spin probes and other commonly employed quenchers; nevertheless, using a variety of strategies and reasonable assumptions leads to the same location of pyrene within the uncertainties of the method. All of the spectroscopic probes employed in this study are largely located within the polar shell of the micelles, the largest departure being about 4% of the diameter of the micelle.

Location of spectroscopic probes in self-aggregating assemblies. I. The case for 5-doxylstearic acid methyl ester serving as a benchmark spectroscopic probe to study micelles.

A strategy to locate spectroscopic probes in micelles is presented which involves establishing a "benchmark" probe, i.e., one whose position is well-known and against which other probe positions may be established. Theoretically calculated values of the fraction of the micelle polar shell occupied by water, H(shell), are compared with experimental values measured with the spin probe 5-doxylstearic acid methyl ester (5DSE) for a series of sodium n-alkyl sulfate micelles as functions of both the aggregation numbers and the alkyl chain length. The theoretical values involve one adjustable parameter that may be taken to be the volume in the polar shell inaccessible to water, V(dry). Under the hypothesis that the thickness of the polar shell (5 Angstroms) remains constant as either the aggregation number or the chain length is varied, we find excellent agreement between the theoretical predictions and the experimental results, using the same value of V(dry) for chain lengths 8-12 and for aggregation numbers varying from approximately 38 to 130. We argue that these are compelling reasons that 5DSE follows the zero-order model (ZOM) of probe location. The ZOM applies to any probe that rapidly diffuses within the confines of the micelle polar shell and nowhere else. Thus, 5DSE can serve as a benchmark in the sodium alkyl sulfate micelles. As a further check, results are also presented for ammonium dodecyl sulfate micelles, where 5DSE is also found to follow the ZOM, i.e, no further adjustable parameters are needed to pass from the sodium alkyl sulfate micelles to ammonium dodecyl sulfate micelles. In contrast, results are also presented for a similar spin probe 16-doxylstearic acid methyl ester (16DSE) that is found not to adhere to the ZOM in any of the micelles. A simple first-order correction to the ZOM in which 16DSE is displaced slightly from the polar shell is shown to account for the results well. The necessary displacements, which range from about 0.7 Angstroms outside the polar shell to 1.3 Angstroms inside, are not correlated with either chain lengths or aggregation numbers; however, they correlate rather well with H(shell). Calibrations of 6-, 7-, 10-, and 12DSE spin probes are presented in the Appendix, making them available to measure microviscosities and effective water concentrations.