Conformation of heparin studied with macromolecular hydrodynamic methods and X-ray scattering

The hydrodynamic characteristics of heparin fractions in a 0.2 M NaCl solution have been determined. Experimental values varied over the following ranges: the sedimentation coefficient (at 20.0 °C), 1.3<s₀×10¹³<3.2 s; the Gralen coefficient (sedimentation concentration-dependence parameter), 10<k_s<70 cm³ g^–1; the translational diffusion coefficient, 3.9<D₀×10⁷<15.4 cm² s^–1; the intrinsic viscosity, 7.9<[]<40 cm³ g^–1. Combination of s₀ with D₀ using the Svedberg equation yielded molecular weights in the range 3.9<M×10^–3<37 g mol^–1. The value of the mass per unit length of the heparin molecule, M_L, was determined using the theory of hydrodynamic properties of a weakly bending rod, giving M_L=570±50 g nm^–1 mol^–1. The equilibrium rigidity, Kuhn segment length (A=9±2 nm) and hydrodynamic diameter (d=0.9±0.1 nm) of heparin were evaluated on the basis of the worm-like coil theory without the excluded volume effect, using the combination of hydrodynamic data obtained from fractions of different sizes. Small-angle X-ray scattering for three heparin fractions allowed an estimate for the cross-sectional radius of gyration as 0.43 nm; from the evolution with the macromolecule contour length of the radius of gyration, a value for the Kuhn segment length of 9±1 nm was obtained. A good correlation is thus observed for the conformational parameters of heparin from hydrodynamic and X-ray scattering data. These values describe heparin as a semi-rigid polymer, with an equilibrium rigidity that is essentially determined by a structural component, the electrostatic contribution being negligible in 0.2 M NaCl.Presented at the conference for Advances in Analytical Ultracentrifugation and Hydrodynamics, 8–11 June 2002, Grenoble, France     

Time-resolved small-angle X-ray scattering study of the folding dynamics of barnase

Structural changes of barnase during folding were investigated using time-resolved small-angle X-ray scattering (SAXS). The folding of barnase involves a burst-phase intermediate, sometimes designated as the denatured state under physiological conditions, D_phys, and a second hidden intermediate. Equilibrium SAXS measurements showed that the radius of gyration (R_g) of the guanidine unfolded state (U) is 26.9 ± 0.7 Å, which remains largely constant over a wide denaturant concentration range. Time-resolved SAXS measurements showed that the R_g value extrapolated from kinetic R_g data to time zero, R_g,0, is 24.3 ± 0.1 Å, which is smaller than that of U but which is expanded from that of folding intermediates of other proteins with similar chain lengths (19 Å). After the burst-phase change, a single-exponential reduction in R_g² was observed, which corresponds to the formation of the native state for the major component containing the native trans proline isomer. We estimated R_g of the minor component of D_phys containing the non-native cis proline isomer (D_phys,cis) to be 25.7 ± 0.6 Å. Moreover, R_g of the major component of D_phys containing the native proline isomer (D_phys,tra) was estimated as 23.9 ± 0.2 Å based on R_g,0. Consequently, both components of the burst-phase intermediate of barnase (D_phys,tra and D_phys,cis) are still largely expanded. It was inferred that D_phys possesses the N-terminal helix and the center of the β-sheet formed independently and that the formation of the remainder of the protein occurs in the slower phase.     

Light scattering and viscosity study of heat aggregation of insulin

Aggregation behavior and hydrodynamic parameters of insulin have been determined from static and dynamic light scattering experiments and intrinsic viscosity measurements carried out at pH 4.0, 7.5, and 9.0 in the temperature range 20–40°C in aqueous solutions. The protein aggregated extensively at elevated temperatures in the acidic solutions. Intermolecular interactions were found to be attractive and to increase with temperature. The measured intrinsic viscosity [η], diffusion coefficient D₀, molecular weight M, and radius of gyration R_g exhibited the universal behavior: M[η] = (2.4 ± 02) × 10⁻²⁷ (R_e,η/R_e,D)³(D_0η/T)⁻³ and (D₀√n)₋₁ ≃ (√6 πη₀ζβ/k_BT) [1 + 0.201)(v/β³)√n], where n is the number of segments in the polypeptide. The effective hydrodynamic radii deduced from [η], (R_e, η) and the same deduced from D₀, (R_e,D) showed a constant ratio, (R_e,η/R_e,D = 1.1 ± 0.1). R_e,D/R_g = ξ was found to be (0.76 ± 0.07). From the known solvent viscosity η₀, the segment length β was deduced to be (10 ± 1) Å. The excluded volume was deduced to be (5 Å)³ regardless of pH. The Flory-Huggins interaction parameter was found to be χ = 0.45 ± 0.04, independent of pH and temperature. © 1998 John Wiley & Sons, Inc. Biopoly 45: 1–8, 1998     

Dependence of laser light scattering of DNA on NaCl concentration

We show that the persistence length a of DNA, derived from total intensity laser light scattering of linear Col E₁ DNA and corrected for excluded-volume effects, varies from about 68 nm in 0.005M NaCl to about 40 nm in 0.2M NaCl, leveling off to a constant value (about 27 nm) at high NaCl (1–4M) concentration. These observations do not agree with current views on the effect of electrostatic charge and ionic conditions on DNA dimensions. The apparent diffusion constant D_app, determined from laser light scattering autocorrelation as a function of scattering vector q, at NaCl concentrations 0.005–4M, correctly yields the translational diffusion coefficient D_t at low values of q and scales with molecular dimensions rather than segment length at high values of q; thus, D_app/D_t yields a universal curve when plotted against q²R, where R_g is the radius of the gyration. The sedimentation coefficients s at 0.1 and 0.2M NaCl concentration closely agree with the well-tested empirical relations, and a combination of s, D_t, and the appropriate density increments yield correct molar masses over the whole salt concentration range. Approximate constancy of D_tR_g indicates limited draining in translational flow. We present some observations and thoughts on the regimes in which a dependence of the correlation decay times on q³ rather than q² applies. We conclude that quasielastic laser light scattering discloses little information about dynamics of internal motion of DNA chains.     

Translational and rotational diffusion of tobacco mosaic virus from polarized and depolarized light scattering

The translational and rotational dynamics of tobacco mosaic virus in sodium phosphate buffer (pH =7.5) solutions has been investigated by polarized and depolarized light scattering Rayleigh linewidth studies. For concentrations ranging from 1.75 × 10^?4 g ml^?1 to 0.25 × 10^?4 g ml^?1 the translational diffusion coefficient (D_T) has been found to be slightly concentration dependent and extrapolation to zero concentration gives D₀^20°C = 0.34 ± 0.01 × 10^?7 cm²S^?1. A full analysis of the polarized spectra obtained at high and low scattering angles and the depolarized spectra at near zero scattering angles has enabled these techniques to be compared and the rotational diffusion constant D_R to be determined. At a solution concentration of 1.75 × 10^?4 g ml^?1 a mean value is found to be D_R^20°C = 350 ± 30s^?1. These values of D_T and D_R are in approximate agreement with calculations based on models of the tobacco mosaic virus molecule as a cylindrical rod.     

Comparison of the structures of the native form of rat liver 5S rRNA and yeast tRNAphe: small-angle and wide-angle X-ray scattering study

The small-angle and wide-angle X-ray scattering of tRNA^phe (yeast) and ribosomal 5S RNA (rat liver) in solution have been analysed and compared. tRNA^phe in solution is folded into a compact L-shaped structure similar to its structure in crystals. The geometry of the secondary structure of the double helical regions is also equivalent to the A-form in the crystalline state. Despite differences between the molar mosses of 5S rRNA (40 000 g mol^?1) and tRNA^phe (25 000 g mol^?1), and the fact that the 5S rRNA molecule is more anisometric than the tRNA^phe molecule, there are many structural similarities. The geometrical parameters of the secondary structure of double helical regions in both RNA molecules are almost identical; the mean rise per base pair is about 0.253–0.28 nm and the mean turn angle is about 32.5–33.5. Identical cross-sectional radii of gyration, R_sq,1 ≈ 1.16 nm and R_sq,2 = 0.92 nm, identical molar mass per unit length, , and a mean thickness of the molecules D ≈ 1.65 nm suggest a similar, nearly coplanar organization of isolated, double helical arms. Furthermore, there are compact regions in the central parts of both molecules, which are the sites of tertiary interactions in the tRNA^phe molecule and are a potential site of tertiary interactions in the SS rRNA molecule for stabilization of the complicated L-shape of the two molecules. Both molecules have a pseudo-twofold axis,w hich may play a role in recognition for binding of specific proteins.     

Subdiffraction-limit study of Kaede diffusion and spatial distribution in live Escherichia coli

Photoactivation localization microscopy (PALM) is used to study the spatial distribution and diffusion of single copies of the protein Kaede in the cytoplasm of live Escherichia coli under moderate growth conditions (67 min doubling time). The spatial distribution of Kaede is uniform within the cytoplasm. The cytoplasmic radius of 380 ± 30 nm varies little from cell to cell. Single-particle tracking using 4 ms exposure times reveals negatively curved plots of mean-square displacement versus time. A detailed comparison with Monte Carlo simulations in a spherocylindrical volume shows that the curvature can be quantitatively understood in terms of free diffusion within a confining volume. The mean diffusion coefficient across cells is <D_Kaede> = 7.3 ± 1.1 μm²·s⁻¹, consistent with a homotetrameric form of Kaede. The distribution of squared displacements along the long axis for individual Kaede molecules is consistent with homogeneous diffusion. However, for longer cells, a spatial map of one-step estimates of the diffusion coefficient along x suggests that diffusion is ∼20–40% faster within nucleoids than in the ribosome-rich region lying between nucleoid lobes at the cell mid-plane. Fluorescence recovery after photobleaching yielded <D_FRAP> = 8.3 ± 1.6 μm²·s⁻¹, in agreement with the single-particle tracking results.     

Neutron scattering studies of subcomponent C1q of first component C1 of human complement and its association with subunit C1r2C1s2 within C1

Neutron scattering studies are reported on subcomponent C1q of component C1 of human complement, and on C1, the complex of C1q with subunit C1r₂C1s₂. For C1q, the molecular weight was determined as 460,000. The radius of gyration at infinite contrast R_c is 12.8 nm. The R_c values for the proteolytically cleaved forms of C1q, namely the heads and the stalks, are 1.5 to 2 nm and 11 nm, respectively, and thus the axis-to-arm angle of C1q is estimated at 45 °. Neutron data for subunit C1r₂C1s₂ are published elsewhere. The neutron data on C1 lead to an R_c value of 12.6 nm for proenzymic C1 and a molecular weight of 820,000. The wideangle scattering curve of C1q exhibits a minimum at Q = 0.28 nm^?1 and a maximum at 0.39 nm^?1; on the addition of C1r₂C1s₂, this minimum disappears. The neutron data on C1 indicate that C1q and C1r₂C1s₂ have complexed with a large conformational change in one or both parts. No conformational changes can be detected on the activation of C1 by this method.     

Structure of ferrichrome-type siderophores with dissimilarN δ-acyl groups: Asperchrome B1,B2,3,D1, D2 and D3

Summary Asperchromes are a series of iron-chelating compounds which contain a cyclic hexapeptide backbone as in ferrichrome siderophores and differ from the latter in having heterogenous acyl groups in the ornithine side chains. The molecular structures of the asperchrome B and D series have been determined by¹H- and¹³C-NMR spectroscopy; single-crystal X-ray diffraction was used to determine the detailed structural features of asperchrome B₁ and asperchrome D₁. Asperchrome B₁ crystallizes in the triclinic space group P1 witha= 1.3143(5) nm,b=1.2200(5) nm,c=0.8949(3) nm,=105.17(4)°,=94.03(3)°, =109.65(3)°,V=1.2843 nm³,Z=1, _x =1.446 g cm^–3. FinalR=0.054 for 4625 reflections measured at 138 K using MoK. Asperchrome D₁ crystallizes in the monoclinic space group P2₁ witha=1.2248(11) nm,b=1.3795(9) nm,c=1.3644(6) nm,=93.24(6)°,V=2.3016 nm³,Z=2, _x =1.418 g cm^–3. FinalR=0.110 for 3180 reflections measured at 138 K using MoK radiation. The conformation of the molecular backbone and iron coordination geometry in both asperchrome B₁ and D₁ compare well with those observed in other known ferrichrome siderophores. The differences in the acyl groups are illustrated and the structural results are correlated with their iron transport properties.     

Investigation of γE-crystallin target protein binding to bovine lens alpha-crystallin by small-angle neutron scattering

α-Crystallin, one of the main constituent proteins in the crystalline lens, is an important molecular chaperone both within and outside the lens. Presently, the structural relationship between α-crystallin and its target proteins during chaperone action is poorly understood. It has been hypothesised that target proteins bind within a central cavity. Small-angle neutron-scattering (SANS) experiments in conjunction with isotopic substitution were undertaken to investigate the interaction of a target lens protein (γE-crystallin) with α-crystallin (α_H) and to measure the radius of gyration (Rg) of the proteins and their binary complexes in solution under thermal stress. The size of the α_H in D₂O incubated at 65 °C increased from 69 ± 3 to 81 ± 5 Å over 40 min, in good agreement with previously published small-angle X-ray scattering (SAXS) and SANS measurements. Deuterated γE-crystallin in H₂O buffer (γE_D/H₂O) and hydrogenous γE-crystallin in D₂O buffer (γE_H/D₂O) free in solution were of insufficient size and/or too dilute to provide any measurable scattering over the angular range used, which was selected primarily to investigate γE:α_H complexes. The evolution of the aggregation size/shape as an indicator of α_H chaperone action was monitored by recording the neutron scattering in different H:D solvent contrasts under thermally stressed conditions (65 °C) for binary mixtures of α_H, γE_H, and γE_D. It was found that Rg(α_H:γE_D/D₂O) > Rg(α_H:γE_H/D₂O) > Rg(α_H/D₂O) and that Rg(α_H:γE_H/D₂O) ≈ Rg(α_H/D₂O). The relative sizes observed for the complexes weighted by the respective scattering powers of the various components imply that γE-crystallin binds in a central cavity of the α-crystallin oligomer, during chaperone action.     

Observation of Brillouin scattering from single muscle fibres

The propagation of sound waves along relaxed single fibres of glycerinated rabbit psoas muscle has been observed using Brillouin scattering at frequencies up to 1.6 GHz. Two types of waves were observed: one with a velocity of 1508±7 m s^–1, which is attributed to sound waves in intra-cellular saline, the other with a velocity of 912±25 m s^–1, which is attributed to waves propagating along the protein filaments within individual sarcomeres. The latter sound velocity is much higher than that which has been reported by Stienen and Blangé (1985) for 50 s tension transients, and the difference is attributed to the much higher stiffness of the protein filaments compared to the cross-bridges which determine the low-frequency elasticity of muscle fibres.     

<Emphasis Type="Italic">Aliihoeflea aestuarii</Emphasis> gen. nov., sp. nov., a novel bacterium isolated from tidal flat sediment

A novel Gram-negative and rod-shaped bacterium, designated N8^T, was isolated from tidal flat sediment. Phylogenetic analysis based on 16S rRNA gene sequences showed that N8^T strain is associated with the family Phyllobacteriaceae: two uncultured clones (98.4 and 99.8% 16S rRNA gene sequence similarity) and the genus Mesorhizobium (≤97.0%). The novel strain formed a separate clade with uncultured clones in the phylogenetic tree based on 16S rRNA gene sequences. Cellular fatty acid profiles predominately comprised C_18:1 ω7c and C_19:0 cyclo ω8c. The major isoprenoid quinone is ubiquinone-10 and genomic DNA G+C content is 53.4 mol%. The polyphasic taxonomic study indicates that the novel strain N8^T represents a novel species of the new genus in the family Phyllobacteriaceae, named Aliihoeflea aestuarii. The type strain is N8^T (= KCTC 22052^T= JCM 15118^T= DSM 19536^T).     

Quasi-elastic light scattering study of salt induced conformational transitions of chromatin subunit

The translational diffusion coefficient D_T of monodisperse solutions of 146 base pairs (bp) core particles was studied by the quasi-elastic light scattering technique. When the salinity was raised a change of D_T from 1.9 × 10^?7 cm² s^?1 to 3.2 × 10^?7 cm² s^?1 was detected at about 2 mM NaCl, followed by a smooth decrease of D_T beyond 0.6 M NaCl. The measurements of particle concentration and scattering vector effects on the D_T showed that the influence of interactions between particles can be disregarded. The interaction between particles and counterions is also discussed and does not appear to be the origin of the actual changes in D_T. These transitions of D_T are hence related to changes of shape and size of the particles. It is shown that the single transition at low salinity corresponds to a conformational change while the variation of D_T at high salinity can be interpreted by a destabilization of the edifice. In different regions of salinities, the observed values of D_T can lead to reasonable hydrodynamic models.     

Molecular mass and chain conformations of Rhizoma Panacis Japonici polysaccharides

The molecular mass and size of five water-soluble polysaccharides isolated from Rhizoma Panacis Japonici (RPJ) were determined with laser light scattering (LLS), size-exclusion chromatography (SEC) combined with LLS (SEC–LLS), dynamic light scattering (DLS), as well as transmission electron microscope (TEM). Their weight-average molecular masses (M_w) were 3.5 × 10⁴, 1.47 × 10⁵, 1.24 × 10⁶, 9.26 × 10⁵ and 1.36 × 10⁶, radii of gyration (<s²>_z^1/2) were 14.7, 31.7, 50.8, 41.8 and 40.4 nm, and hydrodynamic radii (R_h) were 19.9, 37.5, 66.2, 52.1, and 55.2 nm, respectively. The results showed that molecular masses and sizes of the polysaccharides were influenced by the pH and temperature of the extraction mediums. The conformation parameters were calculated from the above data according to polymer solution theory. The values of ρ (= <s²>_z^1/2/R_h) were from 0.7 to 0.8, exponents (ν) of <s²>_z^1/2 = k M_w^ν were from 0.31 to 0.43, and fractal dimension (d_f) were from 2.3 to 3.2, respectively. The results revealed that all of the polysaccharides existed as spheres in 0.15 M NaCl aqueous solution. TEM and atomic force microscope (AFM) further confirmed the spherical morphologies of these molecules. The spherical conformations of the polysaccharides were a result of their highly branched structures.     

Synthesis and crystal structure of the MgCl2(CH3COOC2H5)2· (CH3COOC2H5) adduct

The reaction of α-MgCl₂ with boiling ethyl acetate affords MgCI₂(CH₃COOC₂H₅)₂· (CH₃COOC₂H₅), which is obtained as crystals suitable for X-ray analysis only from the mother liquor. M=315.5, orthorhombic, space group P2₁22₁ (No. 18), a=25.077(3), b=8.616(1), c=7.345(1) Å, V=1587.0(3) ų, Z=4, D_x=1.32 g cm⁻³,λ A(Mo Kα)=0.71069 Å, μ=4.17 cm⁻¹, F(000)=664, T=298 K, observed reflections: 1667, R=0.059 and R_w=0.069. The structure is composed of polymeric chains of MgCl₂(CH₃COOC₂H₅₎₂ and the ethyl acetate molecules occupy a mutually trans position.     

Hymenobacter taeanensis sp. nov., radiation resistant bacterium isolated from coastal sand dune

An aerobic, Gram-stain-negative, non-motile, non-spore-forming, rod-shaped, and light pink-colored bacterial strain, designated TS19^T, was isolated from a sand sample obtained from a coastal sand dune after exposure to 3 kGy of gamma radiation. Phylogenetic analysis based on the 16S rRNA gene sequences revealed that the isolate was a member of the genus Hymenobacter and was most closely related to H. wooponensis WM78^T (98.3% similarity). Strain TS19^T and H. wooponensis showed resistance to gamma radiation with D₁₀ values (i.e., the dose required to reduce the bacterial population by tenfold) of 7.3 kGy and 3.5 kGy, respectively. The genome of strain TS19^T consists of one contig with 4,879,662 bp and has a G?+?C content of 56.2%. The genome contains 3,955 protein coding sequences, 44 tRNAs, and 12 rRNAs. The predominant fatty acids of strain TS19^T were iso-C_15:0, summed feature 4 (iso-C_17:1 I and/or anteiso-C_17:1 B), summed feature 3 (C_16:1 ω6c and/or C_16:1 ω7c), and C_16:1 ω5c. The major polar lipids were phosphatidylethanolamine, and one unidentified aminophospholipid. The main respiratory quinone was menaquinone-7. Based on the phylogenetic, physiological, and chemotaxonomic characteristics, strain TS19^T represents a novel species, for which the name Hymenobacter taeanensis sp. nov. is proposed. The type strain is TS19^T (=?KCTC 72897^T?=?JCM 34023^T).

     

Determination of bilayer thickness and lipid surface area in unilamellar dimyristoylphosphatidylcholine vesicles from small-angle neutron scattering curves: a comparison of evaluation methods

Small-angle neutron scattering (SANS) experiments were performed on unilamellar 1,2-dimyristoylphosphatidylcholine (DMPC) vesicles prepared in heavy water by extrusion through polycarbonate filters with 500 Å pores. The data obtained at 30±0.1 °C were evaluated using a five-strip function model of the bilayer coherent neutron scattering length density, three different approximate form factors describing scattering from vesicles, and different methods of evaluation of the experimental data. It is shown that the results obtained from the SANS data in the range of scattering vector values 0.0316 Å^–1<q<0.0775 Å^–1 are not sensitive to the vesicle form factor, nor to the evaluation method. Using the hollow sphere model of vesicles convoluted with the Gaussian distribution of their sizes, a constrained bilayer polar region thickness of 9 Å and a DMPC headgroup volume of 325.5 ų, it was possible to obtain from the experimental data the DMPC surface area as 58.9±0.8 Ų, the bilayer thickness as 44.5±0.3 Å and the number of water molecules as 6.8±0.2 per DMPC located in the bilayer polar region.     

Evidence for a folded conformation of the cell wall protein fromAcetabularia (Polyphysa) cliftonii

Summary The cell wall protein fromAcetabularia has a non-random structure in aqueous solution at pH 5.3, as determined on the basis of intrinsic viscosity, sedimentation velocity and small angle X-ray scattering experiments. This non-random structure is stable in a pH range of 4.5–6.8, as observed on the basis of circular dichroism and viscosity measurements, supporting that the cell wall protein has a specific folded structure. All hydrodynamic measurements, including small angle X-ray scattering in solution, in this pH range are consistent with a prolate ellipsoid model for the shape of this protein, with overall dimensions ofc=86.0 Å,b=7.0 Å, anda=7.5 Å, and with a radius of gyration ofR=39.5 Å. The possibility of a coiled shape was investigated using a worm-like chain model, but it was inconsistent with the experimental data. Instead, a filled particle with uniform density which is equivalent in the scattering behavior is proposed. By a comparison of the observed radius of gyration, R_g=39.5 Å, and the radius of gyration of the cross section,R _c =7.5 Å, we were able to describe the cell wall protein in terms of a prolate ellipsoid of revolution. Comparisons of the experimental scattering curve, plotted as logl (h) versus logh, with the corresponding plots of normalized intensities, calculated for particles of particular shape and various axial ratios indicate a very asymmetric shape for the cell wall protein fromAcetabularia.This research was supported by a grant of the Deutsche Forschungsgemeinschaft.     

Light scattering studies of supercoiled and nicked DNA

Static and dynamic light scattering measurements were made of solutions of pGem1a plasmids (3730 base pairs) in the relaxed circular (nicked) and supercoiled forms. The static structure factor and the spectrum of decay modes in the autocorrelation function were examined in order to determine the salient differences between the behaviors of nicked DNA and supercoiled DNA. The concentrations studied are within the dilute regime, which is to say that the structure and dynamics of an isolated DNA molecule were probed. Static light scattering measurements yielded estimates for the molecular weight M, second virial coefficient A₂, and radius of gyration R_G. For the nicked DNA, M = (2.8 ± 0.4) × 10⁶g/mol, A₂ = (0.9 ± 0.2) × 10⁻³ mol cm³/g², and R_G = 90 ± 3 nm were obtained. For the supercoiled DNA, M = (2.5 ± 0.4) × 10⁶ g/mol, A₂ = (1.2 ± 0.2) × 10⁻³ mol cm³/g², and R_G = 82 ± 2.5 nm were obtained. The static structure factors for the nicked and supercoiled DNA were found to superpose when they were scaled by the radius of gyration. The intrinsic stiffness of DNA was evident in the static light scattering data. Homodyne intensity autocorrelation functions were collected for both DNAs at several angles, or scattering vectors. At the smallest scattering vectors the probe size was comparable to the longest intramolecular distance, while at the largest scattering vectors the probe size was smaller than the persistence length of the DNA. Values of the self-diffusion coefficients D were obtained from the low-angle data. For the nicked DNA, D = (2.9 ± 0.3) × 10⁻⁸ cm²/s, and for the supercoiled DNA, D = (4.11 ± 0.21) × 10⁻⁸ cm²/s. The contribution to the correlation function from the internal dynamics of the DNA was seen to result in a strictly bimodal decay function. The rates of the faster mode Γ_int, reached plateau values at low angles. For the nicked DNA, Γ_int = 2500 ± 500 s⁻¹, and for the supercoiled DNA, Γ_int = 5000 ± 500 s⁻¹. These rates correspond to the slowest internal relaxation modes of the DNAs. The dependence of the relaxation rates on scattering vector was monitored with the aid of cumulants analysis and compared with theoretical predictions for the semiflexible ring molecule. The internal mode rates and the dependence of the cumulants moments reflected the difference between the nicked DNA and the supercoiled DNA dynamical behavior. The supercoiled DNA behavior seen here indicates that conformational dynamics might play a larger role in DNA behavior than is suggested by the notion of a branched interwound structure. © 1996 John Wiley & Sons, Inc.