Quantitative measurement of molecular diffusion coefficients by NMR spectroscopy

An offset-independent adiabatic inversion pulse is used in the diffusion experiment to uniformly excite a sample region that is sufficiently long to ignore the ending effects, yet is short enough to have a homogeneous RF field and to represent the pulsed field gradient with a linear approximation. Under these conditions, the diffusion decay of the peak intensity appears to be Gaussian as a function of the effective gradient field ge as if all the molecules inside the selected region experienced the same ge. Quantitative measurement of molecular diffusion coefficients is therefore made possible.     

Characterisation of the surface of polymer latices by photon correlation spectroscopy

Summary By employing the method of photon correlation spectroscopy it could be shown that several polymer latices are covered by a strongly bound sutface layer of water soluble polymers.

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Zusammenfassung Mit Hilfe der Photonen-Korrelations-Spektroskopie wurde gezeigt, daß mehrere Polymerlatices von einer fest gebundenen Schicht wasserlöslicher Polymerer bedeckt sind.

     

Molecular motion in solid polymers detected by photon correlation spectroscopy

Molecular relaxation in the 10–10⁶ Hz region in a solid amorphous polymer PMMA has been detected by photon correlation spectroscopy. Relaxation times are found to depend strongly on sample annealing and sample temperature equilibration. The main relaxation frequencies, determined around the glass-rubber transition. T_g, are in good correspondence with values obtained by other methods.     

Fluorescence correlation spectroscopy analysis of diffusion in a laser gradient field: a numerical approach

Fluorescence correlation spectroscopy (FCS) is widely used in biological systems. When the laser is intense enough, such as in two-photon experiments, the trapping force due to the laser gradient field can change the diffusion behavior of the fluorescent particles and induce error in the FCS measurements. Previous studies on biased FCS are qualitative. In this article, a numerical approach is proposed to treat the problem quantitatively. By assumption of a "spherical symmetry", biased FCS curves can be calculated numerically and fitted to the experimental data to retrieve the unbiased particle number, diffusion time, and polarizability of the fluorescent particles as well as the strength of the gradient field. It has been proven using simulated FCS data that the discrepancy caused by the spherical symmetry approximation is independent of the gradient field strength; therefore it can be eliminated by a calibration.     

Determining the hydrodynamic radii of AOT micelles with silver nanoparticles by means of photon correlation spectroscopy

The possibility of determining the sizes of micelles of sodium di(2-ethylhexyl)sulfosuccinate (AOT) with silver nanoparticles in decane against the background of a large excess of empty micelles by means of photon correlation spectroscopy with unimodal analysis of the autocorrelation function is demonstrated. Contributions from all components to the light scattering are estimated by measuring the static (Rayleigh) light scattering and allowing for partial absorption of the laser radiation by silver nanoparticles. Areas of the correct determination of the hydrodynamic radius of the micelles with nanoparticles are determined via unimodal analysis of the autocorrelation function in dependence on the nanoparticle size (10–2 nm) and silver concentration (1–30 mM) at a constant AOT concentration (0.25 mol/L) and aqueous pseudophase content (1 vol %).     

Determination of the concentration dependence of polyelectrolyte diffusion coefficients by application of the Boltzmann gradient method

The concentration dependence of a polyelectrolyte diffusion coefficient in aqueous low salt solution (KCl, 1 mM) is determined from a single dynamic gradient experiment. The Boltzmann method is applied to calculate the diffusion coefficient. A special diffusion cell is constructed that minimizes aberrations in the optical detection of the polyion concentration profile. Bovine serum albumin (BSA) is chosen as a model polyion. To get information about the diffusion process down to very small polyion concentrations, the BSA molecule is fluorescently labeled. The fluorescence intensity is used as a measure of the polyion concentration. The change of the polyion net charge caused by labeling is discussed. The cell is illuminated by an LED, and the fluorescence intensity profile is detected by a CCD camera. Experiments at 5 and 17 degrees C show that the diffusion coefficient of labeled BSA remains constant in the very low polyion concentration range below a threshold of about 1.5 g/l. This is in contradiction to the linear concentration dependence of polyion diffusion coefficients at very low concentrations often postulated in the literature without reference to direct experimental evidence. Our finding is confirmed by dynamic light scattering experiments published recently. An explanation for this behavior based on a modified Donnan osmotic compressibility approach is given.     

Quantification of protein-protein interactions within membranes by fluorescence correlation spectroscopy

The characterization of interactions between membrane proteins as they take place within the lipid bilayer poses a technical challenge, which is currently very difficult and, in many cases, impossible to overcome. The recent development of a method based in the combination two-color fluorescence cross-correlation spectroscopy with scanning of the focal volume allows the detection and quantification of interactions between biomolecules inserted in biological membranes. This powerful strategy has allowed the quantitative analysis of diverse systems, such as the association between proteins of the Bcl-2 family involved in apoptosis regulation or the binding between a growth factor and its receptor during signaling. Here, we review the last developments to quantify protein/protein interactions in lipid membranes and focus on the use of fluorescence-correlation-spectroscopy approaches for that purpose.     

Probing interactions by means of pulsed field gradient nuclear magnetic resonance spectroscopy

Molecular self-diffusion coefficients (D) of species in solution are related to size and shape and can be used for studying association phenomena. Pulsed field gradient nuclear magnetic resonance (PFG-NMR) spectroscopy has been revealed to be a powerful analytical tool for D measurement in different research fields. The present work briefly illustrates the use of PFG-NMR for assessing the existence of interactions in very different chemical systems: organic and organometallic compounds, colloidal materials and biological aggregates. The application of PFG-NMR is remarkable for understanding the role of anions in homogenous transition metal catalysis and for assessing the aggregation behaviour of biopolymers in material science.     

Quantifying lipid diffusion by fluorescence correlation spectroscopy: a critical treatise

Fluorescence correlation spectroscopy (FCS) measurements are widely used for determination of diffusion coefficients of lipids and proteins in biological membranes. In recent years, several variants of FCS have been introduced. However, a comprehensive comparison of these methods on identical systems has so far been lacking. In addition, there exist no consistent values of already determined diffusion coefficients for well-known or widely used membrane systems. This study aims to contribute to a better comparability of FCS experiments on membranes by determining the absolute diffusion coefficient of the fluorescent lipid analog 1,1'-dioctadecyl-3,3,3',3'-tetramethylindodicarbocyanine (DiD) in giant unilamellar vesicles (GUVs) made of dioleoylphosphatidylcholine (DOPC), which can in future studies be used as a reference value. For this purpose, five FCS variants, employing different calibration methods, were compared. Potential error sources for each particular FCS method and strategies to avoid them are discussed. The obtained absolute diffusion coefficients for DiD in DOPC were in good agreement for all investigated FCS variants. An average diffusion coefficient of D = 10.0 ± 0.4 μm(2) s(-1) at 23.5 ± 1.5 °C was obtained. The independent confirmation with different methods indicates that this value can be safely used for calibration purposes. Moreover, the comparability of the methods also in the case of slow diffusion was verified by measuring diffusion coefficients of DiD in GUVs consisting of DOPC and cholesterol.     

Effective diffusion coefficients for methanol in sulfuric acid solutions measured by Raman spectroscopy

The diffusion of methanol into 0-96.5 wt % sulfuric acid solutions was followed using Raman spectroscopy. Because methanol reacts to form protonated methanol (CH 3OH 2 (+)) and methyl hydrogen sulfate in H 2SO 4 solutions, the reported diffusion coefficients, D, are effective diffusion coefficients that include all of the methyl species diffusing into H 2SO 4. The method was first verified by measuring D for methanol into water. The value obtained here, D = (1.4 +/- 0.6) x 10 (-5) cm (2)/s, agrees well with values found in the literature. The values of D in 39.2-96.5 wt % H 2SO 4 range from (0.11-0.3) x 10 (-5) cm (2)/s, with the maximum value of D occurring for 61.6 wt % H 2SO 4. The effective diffusion coefficients do not vary systematically with the viscosity of the solutions, suggesting that the speciation of both methanol and sulfuric acid may be important in determining these transport coefficients.     

Determination of the ionization constants of natural cyclodextrins by high-resolution 1H-NMR and photon correlation spectroscopy

The purpose of this investigation has been to establish reference pK _a values in D₂O for the three natural CDs by high-resolution ¹H-NMR, according to the recent guidelines provided by the IUPAC for the determination of extreme pK _a values. The most alkaline conditions achieved in this study than in previous pH potentiometric assays have made possible to deduce the pK _a for the three acidic groups of each CD. In addition, we have studied the effects of the ionization of ??-CD on the aggregation properties of this macrocycle in H₂O by dynamic light scattering (DLS) as a function of pH. This procedure provides an indirect way of measuring the pK _a of ??-CD either by tracking the percentage of scattered light or the hydrodynamic radii of the species involved and reveals that the aggregates of ??-CD break and reduce their size progressively upon ionization of the OH^? groups in positions 2 and 3.     

Reversible generation of gold nanoparticle aggregates with changeable interparticle interactions by UV photoactivation

Evolution of exclusively spherical tiny gold nanoparticle aggregates is reported by UV photoactivation of aqueous HAuCl4 solution in cetyltrimethylammonium chloride micelles. In the photoactivation process, citrate is introduced for the first time to obtain aggregates of interacting particles with a tight size distribution. It is seen that the spectrum is substantially altered from the usual Au plasma resonance while the particles are present in the aggregate. Due to the interparticle interaction, the solution renders a blue color. Blue-pink color transformation of the gold sol has been observed in relation to the change in the interparticle distances without any change in the aspect ratio of the particles.     

Study of interaction of proteins with fumed silica in aqueous suspensions by adsorption and photon correlation spectroscopy methods

The interaction of fumed silica A-300 (S(BET) = 297 m2 g(-1)) with bovine serum albumin (prepared by different methods), ovalbumin, human hemoglobin, and gelatin as a function of pH, salinity, and concentrations of components in aqueous medium was studied by adsorption and photon correlation spectroscopy (PCS) methods. Comparison of equilibrium (incubation time t(i) approximately 1 h) adsorption of proteins on A-300, minute (t(i) approximately 1 min) flocculation rate, and the particle size distributions measured by the PCS method shows different rearrangement of particle swarms depending on pH, salinity, and concentration of proteins, especially at pH close to IEP of silica or proteins. The electrokinetic mobility of protein/silica swarms is greater than that of individual components at pH far from the IEP of proteins. Changes in the Gibbs free energy (DeltaG) on protein adsorption depend on pH (-DeltaG is minimal at pH 2, close to the IEP of silica, and maximal at pH between the IEP of protein and silica), concentration (-DeltaG is maximal at C(p) between 1 and 6 mg/ml), type of proteins, and their preparation technique.     

Measurement of diffusion coefficients by radioanalysis

Radioanalysis, more particularly the use of radiotracers, enables measurement of coefficients of mass- and self-diffusion by simple benchtop experiments. They are related to environmental inquiries and materials science mainly Current procedures are surveyed here.     

Interpretation of photon correlation spectroscopy data: A comparison of analysis methods

Properties of solutions and colloidal suspensions such as molecular and particle dynamics, diffusivities, and size distributions may be determined through dynamic light-scattering experiments. Here a number of methods for predicting the details of the linewidth distribution from photon correlation spectroscopy data are reviewed. Their performance on simulated data (with and without noise added) and experimental data from polystyrene latex standards (including a mixture of two standards) is compared. Methods which do not assume a specific form for the distribution are considered. These include cumulants, histograms, exponential sampling, subdistributions, a non-negatively constrained histogram, and Provencher's constrained regularization. Constrained regularization was found to be most robust to noise present in the autocorrelation function and therefore most reliable for analyzing experimental data; however, the method sometimes oversmoothed the distribution. For bimodal distributions the histogram method performed well in our testing, especially when the approximate peak locations were known a priori. Two linear least-squares fitting methods, exponential sampling and the non-negatively constrained histogram, yield accurate values for the overall mean and standard deviation and can be implemented easily on a microcomputer. The linear subdistribution method, although computationally fast, sometimes was not as accurate as other methods.     

Probing interactions between core-electron transitions by ultrafast two-dimensional x-ray coherent correlation spectroscopy

Two-dimensional x-ray correlation spectra (2DXCS) obtained by varying two delay periods in a time-resolved coherent all-x-ray four-wave-mixing measurement are simulated for the N 1s and O 1s transitions of aminophenol. The necessary valence and core-excited states are calculated using singly and doubly substituted Kohn-Sham determinants within the equivalent-core approximation. Sum-over-states calculations of the 2DXCS signals of aminophenol isomers illustrate how novel information about electronic states can be extracted from the 2D spectra. Specific signatures of valence and core-excited states are identified in the diagonal and off-diagonal peaks arising from core transitions of the same and different types, respectively.     

Two-photon excitation fluorescence correlation spectroscopy of diffusion for Gaussian-Lorentzian volumes

Fluorescence correlation spectroscopy (FCS) is valuable in many scientific domains where diffusion plays a fundamental role. One important experimental realization is based on fluorescence induced by two-photon excitation (TPE). In comparison with one-photon excitation (OPE), TPE-FCS defines better the interrogation volume and the background noise is sensibly reduced. Within this context and for overfilled objective lenses, the three-dimensional Gaussian (3DG) approximation, according to which the spectroscopic interaction is spatially defined by Gaussian profiles only, guarantees a simple analytical data interpretation. By contrast, the volume illuminated by the laser beam focused with partially filled objective lenses follows a Gaussian-Lorentzian (GL) distribution that is taken into account by means of numerical methods only. Here we show that contrary to common belief, the assumption of a GL volume does not hamper analytical treatment of TPE-FCS. Differences and similarities in comparison with the 3DG approximation are discussed.     

离子液体中硝基苯的扩散系数与量子化学参数的相关研究

采用量子化学半经验AM1方法,分别对[CMIM]+(1,3-二甲基咪唑离子)、[C2MIM]+(1-甲基-3-乙基咪唑离子)、[C4MIM]+(1-甲基-3-丁基咪唑离子)、[C6MIM]+(1-甲基-3-己基咪唑离子)和硝基苯,以及它们1∶1复合物构象进行优化,在此基础上以DFT(B3LYP/6-31+G)计算它们的...     

Determination of diffusion coefficients by gas chromatography

Gas chromatography (GC), apart from the qualitative and quantitative analysis of gaseous mixtures, offers many possibilities for physicochemical measurements, among which the most important is the determination of diffusion coefficients of gases in gases and liquids and on solids. The gas chromatographic techniques used for the measurement of diffusion coefficients, namely the methods based on the broadening of the chromatographic elution peaks, and those based on the perturbation of the carrier gas flow-rate, are reviewed from the GC viewpoint, considering their running though the history, the experimental arrangement and procedure, the appropriate mathematical analysis and the main results with brief discussions. The experimental data on diffusion coefficients, determined by the various gas chromatographic techniques, are compared with those quoted in the literature or estimated by the known empirical equations predicting diffusion coefficients. This comparison permits the calculation of the precision and accuracy of the techniques applied to the measurement of diffusion coefficients.