Assembly of bacteriophage T7. Dimensions of the bacteriophage and its capsids.

The dimensions of bacteriophage T7 and T7 capsids have been investigated by small-angle x-ray scattering. Phage T7 behaves like a sphere of uniform density with an outer radius of 301 +/- 2 A (excluding the phage tail) and a calculated volume for protein plus nucleic acid of 1.14 +/- 0.05 x 10(-16) ml. The outer radius determined for T7 phage in solution is approximately 30% greater than the radius measured from electron micrographs, which indicates that considerable shrinkage occurs during preparation for electron microscopy. Capsids that have a phagelike envelope and do not contain DNA were obtained from lysates of T7-infected Escherichia coli (capsid II) and by separating the capsid component of T7 phage from the phage DNA by means of temperature shock (capsid IV). In both cases the peak protein density is at a radius of 275 A; the outer radius is 286 +/- 4 A, approximately 5% smaller than the envelope of T7 phage. The thickness of the envelope of capsid II is 22 +/- 4 A, consistent with the thickness of protein estimated to be 23 +/- 5 A in whole T7 phage, as seen on electron micrographs in which the internal DNA is positively stained. The volume in T7 phage available to package DNA is estimated to be 9.2 +/- 0.4 x 10(-17) ml. The packaged DNA adopts a regular packing with 23.6 A interplanar spacing between, DNA strands. The angular width of the 23.6 A reflection shows that the mean DNA-DNA spacing throughout the phage head is 27.5 +/- less than 2.2 A. A T7 precursor capsid (capsid I) expands when pelleted for x-ray scattering in the ultracentrifuge to essentially the same outer dimensions as for capsids II and IV. This expansion of capsid I can be prevented by fixing with glutaraldehyde; fixed capsid I has peak density at a radius of 247 A, 10% less than capsid II or IV.     

Bacteriophage phiNS11: a lipid-containing phage of acidophilic thermophilic bacteria. IV. Sedimentation coefficient, diffusion coefficient, partial specific volume, and particle weight of the phage.

The particle weight (molecular weight) of phiNS11 was determined from the sedimentation coefficient, diffusion coefficient, and partial specific volume of the phage. The sedimentation coefficient of the phage (S(0)20, W) is 416 +/- 2.7S. The diffusion coefficient D(0)20, W), which was determined by quasielastic light scattering measurement, is (0.57 +/- 0.03) x 10(-7) cm2/s. The partial specific volume was determined by the mechanical oscillation technique to be 0.747 +/- 0.007 cm3/g. Based on these values, the particle weight of the phage was calculated to be (70.3 +/- 4.3) x 10(6) daltons, which agrees well with the particle weight (69--72 x 10(6) daltons) estimated from the molecular weight of phage DNA and the content of DNA. The Stokes radius of the phage particle was calculated to be 37.7 +/- 2 nm and hydration of the phage was estimated to be 1.18 cm3/g of dry phage. From the particle weight and the chemical composition of the phage, we estimated that one phage particle contains one double-stranded DNA molecule, 16,000 residues of fatty acid, 72 protein I molecules, 920 protein II, 42 protein III, 48 protein IV, 290 protein V molecules, and 3,700 molecules of polyamines.     

Structure of the dimyristoylphosphatidylcholine vesicle and the complex formed by its interaction with apolipoprotein C-III: X-ray small-angle scattering studies.

Single bilayer vesicles of dimyristoylphosphatidylcholine have been investigated by small-angle X-ray scattering at 28 degrees C. The results indicate that these vesicles are hollow spherical shell structures with an outer radius of approximately 12 nm and a molecular weight of (3.2 +/- 0.5) X 10(6). The shell was found to be 4.4 +/- 0.2 nm thick with a cross-sectional electron-density profile characteristic for a single phospholipid bilayer. Upon interaction of these vesicles with apolipoprotein C-III from human very low density lipoproteins at a protein/lipid ratio greater than 0.08 (g/g), a complex containing 0.25 g of protein/g of lipid, with molecular weight of (3.9 +/- 0.4) X 10(5), is formed. The shape analysis indicates a highly asymmetric particle with an internal partition of low and high electron density resembling that produced by a bilayer structure. Model calculations and curve-fitting procedures show good agreement between the experimental scattering curve and that computed for an oblate ellipsoidal structure with dimensions of 17 X 17 X 5 nm and a 1 nm thick shell of high electron density surrounding the core of low electron density.     

Protein S1 from Escherichia coli ribosomes: an improved isolation procedure and shape determination by small-angle X-ray scattering.

Ribosomal protein S1 from Escherichia coli was studied in solution by small-angle X-ray scattering and the following parameters were obtained. The radius of gyration R = 8.0 +/- 0.2 nm; largest diameter D = 28 nm; molecular weight = (8--9) x 10(4). The data also yielded (with the assumption of a rigid particle with almost constant electron density) two radii of gyration of cross-section Rq1 = 2.5 +/- 0.1 nm and Rq2 = 1.05 +/- 0.05 nm and molecular volume = 140 nm3. The experimental scattering curve of S1 was compared with the theoretical scattering curves for several rigid triaxial homogeneous bodies and the closest fit was given by that of a flat elliptical cylinder with the dimensions of 4.5 nm and 0.88 nm for the two semiaxes and 26.5 nm for height. The results from the present X-ray scattering studies and those from limited proteolytic digestion of protein S1 [J. Mol. Biol. 127, 41--54, (1979)] support the notion that the structure of protein S1 is organized into two distinct subdomains within its elongated overall shape. Protein S1 was purified for this study by an efficient procedure which yielded 12 mg S1/g ribosomes. The isolated protein was fully active in functional tests both before and after X-ray irradiation.     

Shape of Ocr, the gene 0.3 protein of bacteriophage T7: modeling based on light scattering experiments

Ocr, the first protein expressed by bacteriophage T7, inhibits type Iota DNA restriction enzymes by preventing them from binding to DNA. This inhibition allows the phage to successfully infect the host. The shape of ocr is modeled on the basis of static and dynamic light scattering measurements. The static light scattering data confirm previous observations that ocr exists in solution as a dimer. The diffusion constant determined by dynamic light scattering indicates a nonspherical shape of the ocr dimer. Hydrodynamic models of ellipsoids are presented, and it is argued that ocr is best described by a prolate ellipsoid with dimensions of 10.4 nm by 2.6 nm. The size and shape predicted by this model are consistent with ocr acting as a mimic of the DNA structure bound by type Iota restriction enzymes.     

Low angle light scattering studies on whole, half, and quarter molecules of T2 bacteriophage DNA.

Static light scattering measurements have been made at angles as low as 8 degrees on whole, half, and quarter molecules of native, T2 bacteriophage DNA in 0.195 M Na+. The fragments were obtained by high-speed stirring of the native DNA, and fractionated on methylated-albumin-kieselguhr columns. Accompanying measurements of sedimentation coefficients and intrinsic viscosities were made. Because linear extrapolations of light scattering data above 8 degrees for these samples were suspect, the measurements were analyzed by fitting curves calculated from the theory of wormlike coils to experimental curves at c = 0. Results showed that the excluded volume parameter, epsilon, must be used in analyzing the scattering curves; a reasonable value of epsilon was 0.08, in agreement with that found for T7 DNA (Harpst, J. A. 1980. Biophys. Chem. 11:295-302). The persistence length of all three DNAs in this paper was 50 +/- 5 nm, showed no dependence on molecular weight, but was somewhat below that reported previously for T7 DNA (60 nm). Theoretical curves calculated with the preceding parameters had a clear upward curvature in scattering envelopes below 8 degrees for quarter and half molecules, but such curvature was minimal for whole T2 DNA, so that linear extrapolations of experimental data above 8 degrees gave a molecular weight and root-mean-square radius which were nearly the same as those from theory. The molecular weight and radius for whole T2, derived from the comparison of theory and experiment, were 115 X 10(6) and 1,224 nm, respectively. The measurements on T2 DNA were clearly at the upper limit of current techniques.     

Small-angle X-ray scattering on malate synthase from baker's yeast. The native substrate-free enzyme and enzyme-substrate complexes.

Malate synthase from baker's yeast has been investigated in solution by the small-angle X-ray scattering technique. Size, shape and structure of the native substrate-free enzyme and of various enzyme-substrate complexes have been determined. As the enzyme was found to be rather unstable against X-rays, several precautions as well as sophisticated evaluation procedures had to be adopted to make sure that the results were not influenced by radiation damage. These included use of low primary intensity, short time of measurement, the presence of high concentrations of dithiothreitol, combined use of the conventional slit-collimation system and the new cone-collimation system. 1. For the native substrate-free enzyme the following molecular parameters could be established: radius of gyration R = 3.96 +/- 0.02 nm, maximum particle diameter D = 11.2 +/- 0.6 nm, radius of gyration of the thickness Rt = 1.04 +/- 0.04 nm, molecular weight Mr = 187000 +/- 3000, correlation volume Vc = 338 +/- 5 nm3, hydration x = 0.35 +/- 0.02 g/g, mean intersection length - l = 5.0 +/- 0.2 nm. Comparison of the experimental scattering curve with theoretical curves for various models showed that the enzyme is equivalent in scattering to an oblate ellipsoid of revolution rather than to a circular cylinder. The semiaxes of this ellipsoid are a = b = 6.06 nm and c = 2.21 nm. Thus with an axial ratio of about 1:0.36 the enzyme is of very anisometric shape. 2. Binding of the substrates (acetyl-CoA, glyoxylate) or the substrate analogue pyruvate causes slight structural changes of the enzyme. These changes are reflected mainly by a slight decrease of the radius of gyration (0.3--1.3%, as established both with the slit-smeared and the desmeared curves). Concomitantly there occurs a decrease of the maximum particle diameter and an increase of the radius of gyration of the thickness. These changes imply an increase of the axial ratio by 2.2--6.9%, i.e. substrate binding induces a decrease of anisometry. While the particle volume appears to be unchanged on binding glyoxylate or its analogue pyruvate, binding of acetyl-CoA causes slight changes of this parameter. In a similar manner the binding of acetyl-CoA leads to a slight enhancement of the molecular weight; this increase corresponds to the binding of 2.7 +/- 1 molecules of acetyl-CoA.     

Molecular weight of DNA from actinophage MSP2.

Actinophage MSP2 is infectious for Streptomyces venezuelae S13. Based upon electron microscopy of coliphage T4 mixed with MSP2, MSP2 had a head about 48 +/- 2 nm wide and 87 +/- 5 nm long. DNA from polyoma virus and from coliphages T4 and T7 served as reference markers in estimating the molecular weight of MSP2 DNA from sedimentation in sucrose gradients. Denatured MSP2 DNA was estimated to be about 17 x 10(6) and double-stranded MSP2 DNA was about (36 +/- 1.6) x 10(6) in molecular weight.     

Electron microscopic study of troponin

Troponin and its components or fragments were observed in an electron microscope by the use of the rotary shadowing technique. In freshly prepared troponin with low viscosity, globular particles were mainly observed. The size of the long axis of the particles was 13.2 +/- 1.3 nm and the size perpendicular to the long axis was 9.5 +/- 1.2 nm. The mean axial ratio was 1.4 +/- 0.3. Most of the particles observed in a stored troponin preparation, having a higher viscosity than that of fresh troponin, had a globular head with a thin tail, with the total length of 25.4 +/- 1.4 nm (head-tail type particles). The axial size of the globular portion was 8.3 +/- 1.2 nm and the tail length was 17.1 +/- 1.6 nm. Observation of various particles during the transitional stages indicated that, in the globular particles, the tail region of head-tail type particle was associated along the globular head region. Troponin T was a filamentous particle with 16.9 +/- 1.5 nm length. The 26K fragment of troponin T, which was devoid of the N-terminal 45 residues from troponin T, was a filamentous particle with the length of 14.4 +/- 1.3 nm. Troponin T1, one of two chymotryptic subfragments of troponin T, was a filamentous particle of 11.6 +/- 1.4 nm length. Troponin C.T in the presence of Ca2+ was a particle with a globular head (7 nm in size) and a tail of about 17 nm length. The Fab fragment of anti-troponin T1 formed regular transverse striations along the thin filament of rabbit skeletal muscle with a 38 nm period.(ABSTRACT TRUNCATED AT 250 WORDS)     

Characterization of the swelling of a size-exclusion gel.

The swelling of a dextran gel, Sephadex G-75, was observed in an aqueous environment at room temperature by a noninvasive technique that uses light microscopy coupled to an image analysis system via a video camera. The rate of swelling was found to follow the Tanaka and Fillmore theory, from which the overall gel diffusion coefficient was estimated as 6.3 x 10(-7) cm2/s. In addition to giving a quantitative measure of gel swelling that could be useful in the mechanical design of liquid chromatography columns, this approach provides data on wet particle size and particle size range, which is needed for the modeling of diffusional and mass transfer effects in size-exclusion chromatography. In this context, key observations are that the gel particles are nearly spherical with an elliptical shape factor of 0.98 (perfect sphere = 1) and that there is little difference between sizes of particles obtained in water, 50 mM Tris-glycine buffer (pH 10.2), and buffer containing 1 mg/mL protein. The diameter of the dry material ranged from 20 to 100 microns, while the hydrated particles had diameters of 40-350 microns. The rate of swelling is rapid, with 50% swelling occurring in about 10 s and swelling to 99% of the final wet particle size being obtained in less than 90 s.     

Light scattering from suspensions of membrane fragments derived from sonication of beef heart mitochondria.

The intensity of light scattering from suspensions of membrane fragments prepared by sonication of beef heart mitochondria in the presence of EDTA at alkaline pH (ESMP) was determined at 45, 90, and 135 degrees with light of wavelength 546 nm. The dissymmetry ratio Z = I45 degrees c/I135 degrees c, where I45 degrees c and I135 degrees c are the scattering intensities at 45 and 135 degrees extrapolated to zero particle concentration and corrected for reflectance effects, was used to calculate particle size from the Rayleigh-Gans-Debye theory. An average particle diameter D of 184-190 nm was obtained, within the range of particle diameter 50-300 nm determined previously by electron microscopy. This average diameter determined by light scattering is a useful parameter for characterization of ESMP particle size. We propose the term: light scattering average particle diameter, DLS, for this parameter. The refractive index of ESMP was determined to be 1.443 by measurement of scattering intensity in buffer solutions of varying sucrose concentration. The value of Z was independent of sucrose concentration in this determination, showing that the particles are osmotically inactive toward sucrose. The values of average particle diameter DLS and of refractive index fall within the range of validity of the Rayleigh-Gans-Debye theory, for which light scattering changes are attributable solely to dimension change, rather than to change in particle refractive index. Uptake of water accompanying energy-linked salt uptake in ESMP was calculated from light scattering changes to be 0.18 mul of H2O/mg of protein, compared with 0.49 mul of H2O/mg of protein measured by dextran inaccessibility. Measurement of light scattering changes provides a rapid and sensitive method for determining volume changes of ESMP. The magnitude of the volume change observed during energy-linked water and salt uptake and the initial degree of hydration suggests that ESMP are analogous to polyelectrolyte gels with regard to sorption of strong electrolytes and that the Donnan formulation for ion exchange equilibria may be usefully applied to these processes in ESMP.     

Packaging of genomes in bacteriophages: a comparison of ssRNA bacteriophages and dsDNA bacteriophages.

In complex DNA bacteriophages like lambda, T4, T7, P22, P2, the DNA is packaged into a preformed precursor particle which sometimes has a smaller size and often a shape different from that of the phage head. This packaging mechanism is different from the one suggested for the RNA phages, according to which RNA nucleates the shell formation. The different mechanisms could be understood by comparing the genomes to be packaged: single stranded fII RNA has a very compact structure with high helix content. It might easily form quasispherical structures in solution (as seen in the electron microscope by Thach & Thach (1973)) around which the capsid could assemble. Double stranded phage DNA, on the other hand, is a rigid molecule which occupies a large volume in solution and has to be concentrated 15-fold during packaging into the preformed capsid, and the change in the capsid structure observed hereby might provide the necessary DNA condensation energy.     

A refined calculation of the solution dimensions of the complex between gene 32 protein and single stranded DNA based on estimates of the bending persistence length

The rotation diffusion coefficient of a complex of GP32, the single stranded DNA binding protein of the bacteriophage T4, with a single stranded DNA fragment with about 270 bases was determined to obtain further information on the flexibility of this particle. The rotation diffusion of these molecules is used as a sensitive measure of the flexibility of different DNA protein complexes. Using the theory of Hagerman and Zimm (Biopolymers 20, 1481 (1981)) and assuming a bending persistence length of about 35 nanometer it can be shown that the axial increment for GP32 complexes with single stranded DNA is close to 0.5 nm per base. The value for the bending persistence length is in agreement with values found for much larger DNA protein complexes using light scattering experiments. This value for the persistence length also implies that the complex is thin. The radius is estimated to be around 1.7 nm, which shows a moderate degree of hydration. With this set of parameters we can describe all the hydrodynamic experiments on GP32 complexes from 76 to more than 7000 bases obtained using electric birefringence, quasi-elastic light scattering and sedimentation experiments performed in our group over the last few years.     

Hydrodynamic characterization of the size and shape of atropinesterase from Pseudomonas putida

Atropinesterase from Pseudomonas putida has been investigated by means of different ultracentrifugation methods under native and denaturing conditions. The following quantities were determined: sedimentation coefficient, translational diffusion and friction coefficient, partial specific volume and molecular weight. From these data the size, shape and hydration of the enzyme molecule in solution were estimated. The results suggest that atropinesterase is a globular protein which consists of a single polypeptide chain with a molecular weight of about 30,000. In solution under non-denaturing conditions, it occurs mainly as a dimer which hydrodynamically behaves as a rigid impenetrable particle. Calculations based on the spheroid model indicate that this particle resembles a hydrated sphere with a diameter of 6.1 +/- 0.2 nm and a hydration of 0.4 +/- 0.1 g of H2O/g of protein rather than a significantly less hydrated ellipsoid of revolution. Under denaturing conditions dissociation into monomers takes place. The effects of sodium dodecyl sulphate (SDS) on size and shape suggest that dimerization results from side-by-side association of two elongated monomers rather than from end-to-end association. Approximately 57 molecules of SDS are bound per dimer before dissociation occurs concomitant with the additional binding of about 19 molecules of detergent.     

Small-angle X-ray studies of the human immunoglobulin molecule Kol.

The conformation of the human immunoglobulin molecul Kol [IgG I, kappa2 gamma2, Gm(f)+] was studied by small-angle X-ray scattering in 0.15 M NaCl solution. The radius of gyration was found to be 5.84 +/- 0.04 nm, the volume 329 +/- 15 nm3 and the molecular weight 150 000 +/- 10 000. Information on the overall shape was obtained by comparing the experimental scattering curve with the calculated curves for various models. The models were obtained by arranging the models found for the Fab and Fc fragments of the same immunoglobulin molecule in a different manner. A model which fits all the date and the form of the experimental scattering curve is presented.     

X-ray scattering by single-headed heavy meromyosin. Cleavage of the myosin head from the rod does not change its shape

Low angle X-ray scattering from heavy meromyosin (HMM) and from single-headed heavy meromyosin (sHMM) have been examined to determine if the heads of myosin change shape when cleaved from the rod to form subfragment 1 (S1). The scattering intensities of intact HMM and sHMM were compared with those of their chymotryptic digestion products, S1 and subfragment 2 (S2). As the data with HMM were complicated by scattering between the two heads, the more extensive analysis was done with sHMM. Pseudo-Guinier plots of intact and digested sHMM, over the angular range used previously for S1, were linear and showed a difference in apparent radius of gyration (Rg) of only 0.07 +/- 0.04 nm. The absolute apparent Rg value of sHMM was 3.2 +/- 0.2 nm, which is comparable to the radius of gyration reported previously for S1 alone. A plot of the fractional differences in scattering intensities of intact and digested sHMM was flat to a reciprocal spacing of at least 1/3.5 nm-1. These results indicate that the head portions of sHMM and S1 have very similar structures at low resolution. Scattering curves for various models of sHMM and mixtures of S1 and S2 were calculated and the fractional difference plots of scattering intensities were made to determine how sensitive this type of analysis is to changes in the shape of the head. Changes in Rg of 0.1 nm or greater gave detectably non-flat difference plots. Thus, the X-ray scattering of sHMM (and HMM) demonstrated that differences in structure between the head of myosin and isolated S1 are likely to be small. Current controversies over myosin head structure are discussed in light of this result.     

Small-angle X-ray scattering of D-Ribulose-1,5-diphosphate carboxylase from Dasycladus clavaeformis roth (Ag.) in solution

D-Ribulose-1,5-diphosphate carboxylase from $\text{Dasycladus}$ was purified, and the gross dimensions were obtained by means of small-angle X-ray scattering measurements in solution. Dissolved single crystals of this enzyme (called “fraction I protein”) gave the same hydrodynamic parameters as the purified form. The molecular weight was found to be 535,000, and a radius of gyration of R_g = 45.5 Å was determined. The experimental scattering curves revealed a geometrical particle of D-Ribulose-1,5-diphosphate carboxylase with gross dimensions of that of a hollow sphere with outer radius of 56 Å and inner radius of 12 Å. Determinations of the diffusion coefficients lead to the conclusion that the enzyme has a spherical shape of almost uniform density.     

Structure of artificial cytoskeleton containing liposomes in aqueous solution studied by static and dynamic light scattering

The structure of three types of liposomes (egg yolk phosphatidylcholine (EPC) without modification and EPC vesicles containing cross-linked N-isopropylacrylamide (NIPAM) networks of low and a high concentration inside the vesicles) were analyzed by static and dynamic light scattering. Upon polymerization the network was assumed to become attached to the membrane by reactive anchoring monomers. For the sample of high poly(NIPAM) content the polymer network was assumed to fill the whole space in the vesicles. The issue of the present study was to examine hard and hollow sphere behavior of the liposomes with networks of high and low poly(NIPAM) content. The theoretical scattering curves differ markedly for uniform hard and uniform hollow spheres by the presence of specific peaks. However, polydispersity washed out the peaks and led to smoothed asymptotes with fractal dimensions of df = 2 for hollow and df = 4 for hard spheres. The experimental data could efficiently be fitted with weakly polydisperse hollow spheres. No clear conclusion could be drawn from the angular dependence alone for the liposome of high poly(NIPAM) content. The two wavelengths from the HeNe and Ar lasers proved to be too long for the studied liposomes of about 100 nm in radius. However, evidence for hollow sphere behavior was found for fractionated liposomes from the ratio rho = Rg/Rh = 1.04 +/- 0.02 (theory rho = 1.00 for hollow spheres). Finally, from the molar mass and the sphere radius, an apparent density was determined. The analysis gave the expected density for the pure EPC lecithin vesicles and a poly(NIPAM) network density of 0.244 g/mL. For the liposome of low poly(NIPAM) content the network appeared to be attached to the inner surface of the lecithin shell to form a layer of about 18 nm thickness.     

Morphological Variants of Coliphage P1

Lysates of P1 from all hosts tested contained at least three morphological variants with respect to head size. These were termed "big" (P1B), "small" (P1S), and "minute" (P1M). Since successive clonings of plaques isolated on many different hosts failed to change the proportions of the variants, we concluded that the production of variants was a function of the P1 genome rather than that of the host. In the electron microscope, the heads appeared to be icosadeltahedra, having face-to-face head diameters of 86 +/- 2 nm, 65 +/- 2 nm, and 47 +/- 2 nm. Assuming the head capsids to be composed of the same protein subunits, these diameters were compatible with T = 16, 9, and 4 with a lattice constant (intercapsomere distance) of 12 to 13 nm. The tails of all variants were morphologically indistinguishable. Each consisted of a hollow tail tube surrounded by a contractile sheath attached to the head by means of a "head-neck connector" which could be a specialized vertex capsomere. In CsCl gradients, a number of bands were observed. One band contained the majority of P1B particles and 99% of the plaque-forming units. Two other bands contained P1S particles whose densities suggested a content of about 40 and 60% of the complete P1B genome. The less dense of these two bands also contained defective P1B particles with a calculated content of only 60% of the complete genome. The P1S particles tested injected their deoxyribonucleic acid (DNA) into host cells and killed them. Genetic markers contained in this band could be rescued by infectious P1B particles, confirming the evidence of Ikeda and Tomizawa that this fraction contains P1 DNA.     

Hyperacetylation of core histones does not cause unfolding of nucleosomes. Neutron scatter data accords with disc shape of the nucleosome

Recent studies report that the frictional resistance of partially acetylated core particles increases when the number of acetyl groups/particle exceeds 10 (Bode, J., Gomez-Lira, M. M. & Schr?ter, H. (1983) Eur. J. Biochem. 130, 437-445). This was attributed to an opening of the core particle though other explanations, e.g. unwinding of the DNA ends were also suggested. Another possible explanation is that release of the core histone N-terminal domains by acetylation increased the frictional resistance of the particle. Neutron scatter studies have been performed on core particles acetylated to different levels up to 2.4 acetates/H4 molecule. Up to this level of acetylation the neutron scatter data show no evidence for unfolding of the core particle. The fundamental scatter functions for the envelope shape and internal structure are identical to those obtained previously for bulk core particles. The structure that gave the best fit to these fundamental scatter functions was a flat disc of diameter 11-11.5 nm and of thickness 5.5-6 nm with 1.7 +/- 0.2 turns of DNA coiled with a pitch of 3.0 nm around a core of the histone octamer. The data analysis emphasizes the changes in pair distance distribution functions at relatively low contrasts, particularly when the protein is contrast matched and DNA dominates the scatter. Under these conditions there is no evidence for the unwinding of long DNA ends in the hyperacetylated core particles. The distance distribution functions go to zero between 11.5 and 12 nm which gives the maximum chord length in a particle of dimension, 11 nm X 5.5 nm. The distance distribution function for the histone octamer contains 85% of the vectors within the 7.0-nm diameter of the histone core. 15% of the histone vectors lie between 7.0 and 12.0 nm, and these are attributed to the N-terminal domains of the core histones which extend out from the central histone core. Histone vectors extending beyond 7.0 nm are necessary to account for the measured radius of gyration of the histone core of 3.3 nm. A similar value of 3.2 nm is calculated for the recent ellipsoidal shape of 11.0 X 6.5 X 6.5 nm from the crystal structure of the octamer. However, the nucleosome model based on this structure is globular, roughly 11 nm in diameter, which does not accord with the flat disc shape core particle obtained from detailed neutron scatter data nor with the cross-section radii of gyration of the histone and DNA found previously for extended chromatin in solution.