Effect of deuterium oxide on the thermodynamic quantities associated with phase transitions of phosphatidylcholine bilayer membranes

The bilayer phase transitions of three kinds of phospholipids, dipalmitoylphosphatidylcholine (DPPC), distearoylphosphatidylcholine (DSPC) and dihexadecylphosphatidylcholine (DHPC), in deuterium oxide (D₂O) and hydrogen oxide (H₂O) were observed by differential scanning calorimetry (DSC) under ambient pressure and light-transmittance measurements under high pressure. The DSC measurements showed that the substitution of H₂O by D₂O affected the pretransition temperatures and the main-transition enthalpies of all PC bilayers. The temperature-pressure phase diagrams for these PC bilayer membranes in both solvents were constructed by use of the data of light-transmittance measurements. Regarding the main transition of all PC bilayer membranes, there was no appreciable difference between the transition temperatures in D₂O and H₂O under high pressure. On the other hand, the phase transitions among the gel phases including the pretransition were significantly affected by the solvent substitution. The thermodynamic quantities of phase transitions for the PC bilayer membranes were evaluated and the differences in thermodynamic properties by the water substitution were considered from the difference of interfacial-free energy per molecule in the bilayer in both solvents. It was proved that the substitution of H₂O by D₂O causes shrinkage of the molecular area of phospholipid at bilayer interface due to the difference in bond strength between deuterium and hydrogen bonds and produces the great influence on the bilayer phase with the smaller area. Further, the induction of bilayer interdigitation in D₂O turned out to need higher pressures than in H₂O.     

Isotopic light scattering of lipid vesicles. Water permeation and effect of alpha-tocopherol

The influence of the index of refraction of the solvent on light scattering properties of lecithin bilayer vesicles is described. Large vesicles (diameter 300 nm) are considered where one lamella separates the intravesicular compartment from the external medium. Stationary and transient cases are distinguished with special emphasis on the isotopic substitution of the solvent, i.e. H2O vs. D2O. Theoretical calculations based on the Mie theory of light-scattering are in accord with results from experiments. The two stationary cases considered serve to calibrate the numerical calculations and illustrate the capability of the method. Transient experiments allow the determination of permeation rates; in particular the D2O/H2O permeability coefficients can be obtained. Single component vesicular lecithin bilayers and ones containing tocopherol are compared. In the crystalline state the incorporation of tocopherol increases the fluidity of the lipid bilayer in parallel with the water permeation rate.     

Carbon-13 nuclear magnetic resonance studies of cerebroside derivatives and their properties in lecithin bilayers (1)

The ¹³C NMR chemical shifts and spin-lattice relaxation times of D-galactosylsphingosine derivatives in CDCl₃-CD₃OD and in egg-yolk lecithin vesicles in D₂O, and of N-acetylpsychosine micelles, are reported. Results with sonicated, unilamellar vesicles containing cerebroside and EYL^a show that (1) cerebrosides decrease the fluidity of the lecithin bilayer membrane and have the greatest effect on the glycerol backbone and choline methyl carbons. (2) N-acetylpsychosine experiences a greater freedom of motion in the galactose region than does cerebroside and does not reduce the fluidity of the lecithin as much as cerebroside. (3) Ac-Psy/EYL vesicles formed are permeable to Yb³⁺ but cerebroside/lecithin vesicles are not. (4) The choline groups on the inner bilayer surface are less mobile than those on the outer surface according to preliminary T₁ measurements of the Yb³⁺-separated resonances. (5) Yb³⁺-induced chemical shifts of choline methyl and choline $\text{C}\text{H}{}_2$OP peaks in mixed cerebroside-lecithin vesicle systems indicate a small preference for cerebroside in the outside monolayer. The data show that these molecules have significant effects on bilayer conformational mobilities, particularly near the surface, and thus demonstrate one mechanism for modulation of cell surface properties by glycosphingolipids.     

Interactions between biliary lipid micelles and intestinal brush border membranes investigated by 1H and 31P nuclear magnetic resonance

The effect of taurocholate and lecithincholesterol-taurocholate mixed micelles on the structure of isolated intestinal brush border membranes was investigated by nuclear magnetic resonance (NMR). Rabbit brush border membranes isolated by a Mg²⁺ precipitation step were chosen for this study because of their stability and integrity as revealed by ³¹P NMR. Incubation of taurocholate with the brush border membranes does not induce significant solubilization of these membranes even when the taurocholate/phospholipid ratio reaches 3.0 ¹H NMR studies indicate that taurocholate is included in the membrane bilayer at low concentration (3 mM). However this biliary salt produces a size diminution of the vesicles when its concentration increases. Incorporation of lecithin or lecithin-cholesterol in micelles of taurocholate and subsequent incubation with brush border membranes lead simultaneously to a decrease in the ³¹P NMR isotropic/bilayer line ratio, and to an increase in . These results indicate a protective effect of these compounds against lytic damage of taurocholate. Futhermore the equilibrium distribution of lecithin between mixed micelles and the membrane bilayer is strongly in favour of complete integration of micellar components in the bilayer. These data suggest that uptake of lipids from the micellar phase by isolated brush border membranes involves an interaction of the micelles with membranes followed by a fusion process.     

Calcium Triggered Lα-H2 Phase Transition Monitored by Combined Rapid Mixing and Time-Resolved Synchrotron SAXS

Background

Awad et al. [1] reported on the Ca²⁺-induced transitions of dioleoyl-phosphatidylglycerol (DOPG)/monoolein (MO) vesicles to bicontinuous cubic phases at equilibrium conditions. In the present study, the combination of rapid mixing and time-resolved synchrotron small-angle X-ray scattering (SAXS) was applied for the in-situ investigations of fast structural transitions of diluted DOPG/MO vesicles into well-ordered nanostructures by the addition of low concentrated Ca²⁺ solutions.

Methodology/Principal Findings

Under static conditions and the in absence of the divalent cations, the DOPG/MO system forms large vesicles composed of weakly correlated bilayers with a d-spacing of ∼140 Å (L_α-phase). The utilization of a stopped-flow apparatus allowed mixing these DOPG/MO vesicles with a solution of Ca²⁺ ions within 10 milliseconds (ms). In such a way the dynamics of negatively charged PG to divalent cation interactions, and the kinetics of the induced structural transitions were studied. Ca²⁺ ions have a very strong impact on the lipidic nanostructures. Intriguingly, already at low salt concentrations (DOPG/Ca²⁺>2), Ca²⁺ ions trigger the transformation from bilayers to monolayer nanotubes (inverted hexagonal phase, H₂). Our results reveal that a binding ratio of 1 Ca²⁺ per 8 DOPG is sufficient for the formation of the H₂ phase. At 50°C a direct transition from the vesicles to the H₂ phase was observed, whereas at ambient temperature (20°C) a short lived intermediate phase (possibly the cubic Pn3m phase) coexisting with the H₂ phase was detected.

Conclusions/Significance

The strong binding of the divalent cations to the negatively charged DOPG molecules enhances the negative spontaneous curvature of the monolayers and causes a rapid collapsing of the vesicles. The rapid loss of the bilayer stability and the reorganization of the lipid molecules within ms support the argument that the transition mechanism is based on a leaky fusion of the vesicles.     

Amiloride sensitivity of proton-conductive pathways in gastric and intestinal apical membrane vesicles

Summary Passive proton permeability of gastrointestinal apical membrane vesicles was determined. The nature of the pathways for proton permeation was investigated using amiloride. The rate of proton permeation (k _H ⁺ was determined by addition of vesicles (pH _i = 6.5) to a pH 8.0 solution containing acridine orange. The rate of recovery of acridine orange fluorescence after quenching by the acidic vesicles ranged from 4 × 10^–3 (gastric parietal cell stimulation-associated vesicles; SAV) and 5 × 10^–3 (duodenal brush-border membrane vesicles; dBBMV) to 11 × 10+^–3 sec^–1 (ileal BBMV; iBBMV). Amiloride, 0.03 and 0.1 mm, significantly reduced the rate of proton permeation in dBBMV and iBBMV, but not gastric SAV. The decreases in k _H ⁺ were proportionately greater in iBBMV as compared with dBBMV. The presence of Na⁺/H⁺ exchange was demonstrated in both dBBMV and iBBMV by proton-driven (pH _i < pH _o ) ²²Na⁺ uptake. Evidence was also sought for the conductive nature of pathways for proton permeation. Intravesicular acidification, again determined by quenching of acridine orange fluorescence, was observed during imposition of K⁺-diffusion potential ([K⁺] _i [K⁺ _o ). In dBBMV and iBBMV, intravesicular acidification was enhanced in the presence of the K⁺-ionophore valinomycin, indicating that the native K⁺ permeability is rate limiting. In the presence of valinomycin, the K⁺-diffusion potential drove BBMV intravesicular acidification to levels close to the electrochemical potential. In gastric SAV, acidification was not limited by the K⁺ permeability. Valinomycin was without effect, but the K⁺/H⁺ ionophore nigericin enhanced acidification in gastric SAV, illustrating the low proton permeability of these membranes. Amiloride, 0.03–1 mm, resulted in concentration-dependent reductions of K⁺-diffusion potential-driven acidification in dBBMV and iBBMV but not in gastric SAV. These data demonstrate that proton permeation in the three membrane types is rheogenic. The sensitivity of the proton-conductive pathways in intestinal BBMV to high concentrations of amiloride correlated with the presence of the Na⁺/H⁺ antiport and indicates that this transmembrane protein may represent a pathway for proton permeation.We thank Ruth Briggs for assistance with the Na/H exchange experiments. This work was supported by a grant from the Medical Research Council (G8418056CA).     

Interaction of sporidesmin,a mycotoxin fromPithomyces chartarum,with lipid bilayers

Sporidesmin, a mycotoxin fromPithomyces chartarum is a hydrophobic molecule. It can therefore be easily incorporated in the cell membrane, where it is likely to cause changes in the bilayer organization and the properties of membrane proteins. In order to understand the redox behaviour of sporidesmin in a hydrophobic environment, we have investigated the effects of oxidized and reduced sporidesmin on the phase transition properties of bilayers and on the susceptibility of bilayers to pancreatic phospholipase A₂ (PLA₂). The changes induced by sporidesmin in the thermotropic phase transition profiles of dimyristoyl-sn-3-phosphatidyl choline (DMPC) bilayers were similar to those caused by solutes known to localize in the glycerol-backbone region of the lipid bilayer, suggesting a similar localization for oxidized and reduced sporidesmin. Neither form of toxin disrupt the bilayer or membrane organization even at relatively high mole fractions. At concentrations <10 mole% both forms partitioned equally well in the gel and liquid-crystalline phases, whereas at higher concentrations (30 mole%) reduced sporidesmin is preferentially localized in the liquid-crystalline phase. These effects of sporidesmin on the phase properties of DMPC vesicles were also reported by the fluorescence behavior of 10-pyrenedecanoic acid (PDA). The effects of oxidized and reduced sporidesmins on PLA₂ kinetics are consistent with their ability to perturb bilayer organisation.     

Effect of Na+ and K+ Ions on the Initial Crystallization Process of Lysozyme in the Presence of D2O and H2O

In the initial stage of the crystallization of egg-white lysozyme, monomeric lysozyme aggregated rapidly to form a nucleus in the presence of high salt concentrations. In the present studies, we examined the initial aggregation process of lysozyme (initial crystallization process of lysozyme) in D₂O/H₂O with sodium ions or potassium ions, and investigated the relationship between the surface hydrophobicity and the aggregation rate of lysozyme. The effect of sodium ions or potassium ions on the initial aggregation process of lysozyme in D₂O was clearly different from H₂O. The initial aggregation rate of lysozyme in H₂O was slower than in D₂O. In the case of H₂O, the initial aggregation rate was about the same in both ions. But in the case of D₂O, the initial aggregation rate was affected by the ion species and the value was lower in potassium ions than in sodium ions. These results suggest that the interaction between lysozyme molecules is stronger in D₂O than in H₂O. Furthermore, sodium ions have a stronger effect on the interaction than potassium ions in the case of D₂O. There was a good correlation among the initial aggregation rate, surface hydrophobicity, and -potential of lysozyme. The hydrophobic interaction may be an important active force in the initial aggregation process of lysozyme.     

Morphology of the intermediate stages in the lamellar to hexagonal lipid phase transition

Summary The addition of calcium to suspensions of egg phosphatidylcholine and cardiolipin converts multiwalled liposomes to the hexagonal (H_II) phase (Rand, R.P., Sengupta, S. (1972)Biochim. Biophys. Acta 255:484–492). We have studied this lamellar to hexagonal phase transition by freeze-fracture, thin-section electron microscopy, and X-ray diffraction and have morphologically characterized the intermediate stages. The first step in the transition involves the invagination and fusion of bilayers, marked by the appearance of lipidic intramembrane particles and crater-like indentations, as the large liposomes are converted to smaller flattened and elongated vesicles. The next step is the formation of tightly packed hexagonal arrays of tubules, each tubule being about 11 to 15 nm in diameter. These tubules are filled with fluid and a lipid bilayer forms the wall of each cylinder. Finally this tubular bilayer phase is converted to the hexagonal (H_II) phase, where the distance between tubes is 5.5 to 7.5 nm.     

Kinetics of Schiff base formation between the cholesterol ozonolysis product 3-beta-hydroxy-5-oxo-5,6-secocholestan-6-al and phosphatidylethanolamine

FTIR spectroscopy and fluorescence polarization were used to show that a bacterial dirhamnolipid interacts with phospholipid membranes composed of DPPC, altering both the acyl chain and the interfacial region of the bilayer. Incorporation of increasing amounts of dirhamnolipid into ²H-DPPC membranes broadened the transition and shifted the transition temperature toward lower values, according to the effect on the CD₂ stretching vibration. Examination of the ¹³CO stretching band of ¹³C-DPPC indicated that, both below and above the phase transition, dirhamnolipid produced a shift of the band frequency toward higher values, indicating a strong dehydration of the phospholipid CO groups, and therefore of the interfacial region of the membrane. The effects on DPH and TMA-DPH fluorescence polarization provided additional support to hypothesize on the location of trehalose lipid within the bilayer. The results shown here could help to explain some of the interesting membrane-related biological actions of rhamnolipids reported before.     

Dynamic fluorescence measurements on the main phase transition of dipalmytoylphosphatidylcholine vesicles

The kinetics of the main phase transition in dipalmytoylphosphatidylcholine (DPPC) vesicles have been investigated using our iodine laser-Tjump technique with fluorescence detection. A set of three fluorescent probes has been used to sense different parts of the bilayer hydrocarbon chain region. The well established membrane probes DPH and TMADPH as well as DPHPC, a labelled DPPC molecule. We report three relaxation signals in the s and ms time range, which are detected with all three probes. This result supports our model of the main phase transition in DPPC vesicles.Abbreviations DMPC Dimyristoylphosphatidylcholine - DPPC Dipalmytoylphosphatidylcholine - DPH 1,6-Diphenylhexa-1,3,5-triene - TMADPH 1-[4-(Trimethylamino)phenyl]-6-phenylhexa-1,3,5-triene - DPHPC Diphenylhexatriene-phosphatidylcholine - T_m Temperature of the main phase transition     

Effect of small molecules on the dipalmitoyl lecithin liposomal bilayer: III. Phase transition in lipid bilayer

Summary The effect of more than ninety lipid-soluble compounds on the phase transition behavior ofdl--dipalmitoyl lecithin bilayer has been examined by differential scanning calorimetry. The type of effect on the phase transition profile depends on the nature of the additive, whereas the extent of the effect depends on the concentration. The compounds examined include uncouplers, alkanols, fatty acids, detergents, organic solvents, ionophores, inorganic ions, and some commonly used spin-labelled and fluorescent membrane probes. A qualitatively distinct effect of several of these additives on the phase transition behavior of bilayer provides a method of determining the nature of the perturbation they induce in the bilayer organization. The observations are consistent with the hypothesis that the type of effect induced by an additive on the phase transition profile of the bilayer is related to the position of localization of the additive along the thickness of the bilayer. At least four different types of modified transition profiles that are related to changes in bilayer fluidity can be distinguished. These correspond to the localization of the additive in phosphorylcholine (type D), glycerol backbone (type B), C₁–C₈ methylene (type A), C₉–C₁₆ methylene (type C) region of the bilayer. A possible relationship between the type of phase transition profiles of modified liposomes and the physiological effects of drugs is also discussed.     

The formation and annealing of structural defects in lipid bilayer vesicles

It is shown that sonication of phospholipid-water dispersions below the crystalline → liquid crystalline phase transition temperature (T_c) produces bilayer vesicles with structural defects within the bilayer membrane, which permit rapid permeation of ions and catalyze vesicle-vesicle fusion. These structural defects are annihilated simply by annealing the vesicle suspension above T_c. The rate of annealing was found to be slow, of the order of an hour for T = 3 °C above T_c, but annealing is complete within 10 min for T = 10 °C above T_c. It is proposed that these structural defects are fault-dislocations in the bilayer structure, which arise from a population defect in the distribution of the lipid molecules between the outer and inner monolayers, when small bilayer fragments reassemble to form the small bilayer vesicles during the sonication procedure. Such a population defect can only be remedied by lipid transport via the inside ? outside flip-flop mechanism, which would account for the slow kinetics of annealing observed even at 3 °C above the phase transition.     

Deuterium effect on ionization and fragmentation patterns of monosaccharides ionized by atmospheric pressure chemical ionization

Glucose, galactose, and mannose in H₂O and D₂O were ionized by an atmospheric pressure chemical ionization (APCI) method. Isotope effects on fragmentation patterns of the monosaccharides were examined by deuterium replacement of the -OH groups to distinguish the isomers with a single mass spectrometer. The most abundant ions were the [M+H₂O]⁺ and [M_D5+D+D₂O]⁺ for using H₂O and D₂O as solvent and eluent, respectively. Major fragment ions were the [M−OH]⁺ and [M−OH−H₂O]⁺ in H₂O, while those in D₂O were the [M_D5+D−D₂O]⁺ and [M_D5+D−2D₂O]⁺. The differences in the product ions generated in H₂O and D₂O were due to enhancement of the strength of hydrogen bonding by the deuterium replacement. Variations of the ion intensity ratios of the [M−OH]⁺/[M−OH−H₂O]⁺ and [M_D5−OD]⁺/[M_D5−OD−D₂O]⁺ with the fragmentor voltage showed different trends depending on the kind of monosaccharides. By comparing the ion intensity ratios of the [M+H₂O]⁺/M⁺, [M_D5+D+D₂O]⁺/[M_D5+D]⁺, [M−OH]⁺/[M−OH−H₂O]⁺, and [M_D5+D−D₂O]⁺/[M_D5+D−2D₂O]⁺, it was possible to distinguish the isomers of monosaccharides.     

Polymyxin binding to charged lipid membranes an example of cooperative lipid-protein interaction

The binding of polymyxin-B to lipid bilayer vesicles of synthesis phosphatidic acid was studied using fluorescence, ESR spectroscopy and electron microscopy. 1,6-Diphenylhexatriene (which exhibits polarized fluorescence) and pyrene decanoic acid (which forms excimers) were used as fluorescene probes to study the lipid phase transition.The polymyxin binds strongly to negatively charged lipid layers. As a result of lipid/polymyxin chain-chain interactions, the transition temperature of the lipid. This can be explained in terms of a slight expansion of the crystalline lipid lattice (Lindeman's rule). Upon addition of polymyxin to phosphatidic acid vesicles two rather sharp phase transitions (with ΔT = 5°C) are observed. The upper transition (at T_u) is that of the pure lipid and the lower transition (at T₁) concerns the lipids bound to the peptide. The sharpness of these transitions strongly indicates that the bilayer is characterized by a heterogeneous lateral distribution of free and bound lipid regions, one in the crystalline and the other in the fluid state. Such a domain structure was directly observed by electron microscopy (freeze etching technique). In (1:1) mixtures of dipalmitoyl phosphatidic acid and egg lecithin, polymyxin induces the formation of domains of charged lipid within the fluid regions of egg lecithin.With both fluorescence methods the fraction of lipid bound to polymxin-B as a function of the peptide concentration was determined. S-shaped binding curves were obtained. The same type of binding curve is obtained for the interaction action of Ca²⁺ with phosphatidic acid lamellae, while the binding of polylysine to such membranes is characterized by a linear or Langmuir type binding curve. The S-shaped binding curve can be explained in terms of a cooperative lipid-ligand (Ca²⁺, polymyxin) interaction.A model is proposed which explains the association of polymyxing within the membrane plane in terms of elastic forces caused by the elastic distortion of the (liquid crystalline) lipid layer by this highly asymmetric peptide.     

Enzymatic hydrolysis of short-chain lecithin/long-chain phospholipid unilamellar vesicles: sensitivity of phospholipases to matrix phase state

Short-chain lecithin/long-chain phospholipid unilamellar vesicles (SLUVs), unlike pure long-chain lecithin vesicles, are excellent substrates for water-soluble phospholipases. Hemolysis assays show that greater than 99.5% of the short-chain lecithin is partitioned in the bilayer. In these binary component vesicles, the short-chain species is the preferred substrate, while the long-chain phospholipid can be treated as an inhibitor (phospholipase C) or poor substrate (phospholipase A2). For phospholipase C Bacillus cereus, apparent Km and Vmax values show that bilayer-solubilized diheptanoylphosphatidylcholine (diheptanoyl-PC) is nearly as good a substrate as pure micellar diheptanoyl-PC, although the extent of short-chain lecithin hydrolysis depends on the phase state of the long-chain lipid. For phospholipase A2 Naja naja naja, both Km and Vmax values show a greater range: in a gel-state matrix, diheptanoyl-PC is hydrolyzed with micellelike kinetic parameters; in a liquid-crystalline matrix, the short-chain lecithin becomes comparable to the long-chain component. Both enzymes also show an anomalous increase in specific activity toward diheptanoyl-PC around the phase transition temperature of the long-chain phospholipid. Since the short-chain lecithin does not exhibit a phase transition, this must reflect fluctuations in head-group area or vertical motions of the short-chain lecithin caused by surrounding long-chain lecithin molecules. These results are discussed in terms of a specific model for SLUV hydrolysis and a general explanation for the "interfacial activation" observed with water-soluble phospholipases.     

A vibrational spectroscopic study of the ice-melting-induced transition of 1,2-dibehenoyl-sn-glycero-3-phosphocholine

The phase transition of bilayers of 1,2-dibehenoyl-sn-glycero-3-phosphocholine (DBPC) induced by ice (H₂O and D₂O) melting has been investigated by infrared and Raman spectroscopy. Spectral changes observed at this transition are smaller at lower water content. These spectral changes are interpreted in terms of increased molecular mobility. Slightly different temperature dependencies are observed for various spectral parameters between samples dispersed in H₂O and D₂O.     

Interaction of recombinant human epidermal growth factor with phospholipid vesicles. A steady-state and time-resolved fluorescence study of the bis-tryptophan sequence (TRP49-TRP50)

The interaction of recombinant human epidermal growth factor with small unilamellar phospholipid vesicles was studied by steady-state and time-resolved fluorescence of the bis-tryptophan sequence (Trp₄₉-Trp₅₀). Steady-state anisotropy measurements demonstrate that strong binding occurred with small unilamellar vesicles made up of acidic phospholipids at acidic pH only (pH 4.7). An apparent stoichiometry for 1,2-dimyristoyl-sn-phosphoglycerol of about 12 phospholipid molecules per molecule of human epidermal growth factor was estimated. The binding appears to be more efficient at temperatures above the gel to liquid-crystalline phase transition. The conformation and the environment of the Trp-Trp sequence are not greatly modified after binding, as judged from the invariance of the excited state lifetime distribution and from that of the fast processes affecting the anisotropy decay. This suggests that the Trp-Trp sequence is not embedded within the bilayer, in contrast to the situation in surfactant micelles (Mayo et al. 1987; Kohda and Inigaki 1992).Abbreviations DMPG 1,2-dimyristoyl-sn-phosphoglycerol - hEGF human Epidermal Growth Factor - HPLC high performance liquid chromatography - MEM Maximum Entropy Method - POPC 1-palmitoyl, 2-oleoyl-sn-phosphocholine - POPS 1-palmitoyl, 2-oleoyl-sn-phosphoserine - SUV small unilamellar vesicles - Trp tryptophan - Trp-Trp bis-tryptophan     

The lateral diffusion coefficient of lecithin molecules in single bilayer vesicles studied by 14N NMR

The ¹⁴N nuclear relaxation times T₁ and T₂ in egg yolk phosphatidylcholine have been observed in single bilayer vesicles dispersed in the media of different viscosities, ¹H₂O and ²H₂O. The lateral diffusion coefficient of lipid molecule D has been calculated according to the method reported earlier: D = 2.2 × 10^?8cm²s^?1 in ¹H₂O and 2.1 × 10^?8cm²s^?1 in ²H₂O at 20°C. They are in excellent agreement. This result gives a strong basis of usefulness of ¹⁴N NMR method in the evaluation of D without introducing any system perturbation.