Poly( -p-nitrobenzyl-L-glutamate): synthetic aspects, sedimentation, and viscosity studies

A series of poly(γ-p-nitrobenzyl-L -glutamates), PNBG, has been synthesized by the polymerization of N-carboxyanhydride (NCA) derivatives of γ-p-nitrobenzyl-L -glutamate, NBG, using triethylamine as an initiator. We studied the influence of (a) the solvents dioxane, nitrobenzene, dimethylformamide (DMF), and DMF–1,2-dichloroethane mixture and (b) the anhydride–initiator ratio (A/I) for the polymerization in nitrobenzene (A/I varying from 50 to 750) on the properties of the polymers obtained. In order to improve its synthesis, NBG, was prepared by three different methods. Ten samples of PNBG, ranging in M_w from 10,000 to 50,000, were examined viscometrically in DMF and dichloroacetic acid (DCA) and by ultracentrifugation in DMF. The data for [η] and S_o (limiting sedimentation coefficient) as functions of M_w for PNBG in DMF were utilized, applying theories of Kuhn and Kuhn,¹³ Schachman,¹⁴ and Perrin, ¹⁵ for the estimation of the length per monomeric residue h. Viscosity data gave a h value of about 2.3 Å, Whereas sedimentation yielded 1.5 Å. Treating viscosity and sedimentation data for poly(γ-benzyl-L -glutamate), PBLG, in the same way leads to somewhat higher hvalues (2.4 Å and 1.7 Å, respectively). Although a nitroaromatic effect was shown to be absent for PNBG in DMF, it can be concluded that in this medium PNBG has a somewhat more compact structure than PBLG.     

Levans. II. Light-scattering and sedimentation data of Streptococcus salivarius Levan in water.

The molecular weights and radii of gyration of Streptococcus salivarius levan fractions were obtained from light-scattering measurements in water. Sedimentation coefficients and partial specific volumes of the fractions were also obtained. Double logarithmic plots of [η] versus M?_w and S⁰ versus M?_w yielded slopes having values of 0.17 and 0.62, respectively. The data and various calculated parameters show that levan from Streptococcus salivarius is highly branched and behaves hydrodynamically as a compact particle of spherical symmetry.     

Characterization of rodlike RNA fragments.

Native calf thymus DNA was sheared by sonication in a viscous solvent to the molecular-weight range from 3 × 10⁴ to 3 × 10⁵ daltons, and fractionated by gel chromatography. Number and weight average molecular weights (M?_n and M?_w) were determined for individual fractions by electron microscopy; the ratio M?_w/M?_n for the peak fraction is approximately 1.1. Sedimentation coefficients (s⁰_20,w) of these fractionated samples show an approximately linear dependence on the logarithm of the molecular weight M?_w. This behavior is that expected for rodlike molecules, and is in quantitative agreement with the theory of Yamakawa and Fujii [(1973) Macromolecules 6 , 407–415] for the sedimentation coefficient of a wormlike chain with a persistence length of 625 Å, a diameter of 25 Å, and a mass per unit length of 195 daltons/Å. It appears that the wormlike coil model, without excluded volume, can represent the sedimentation behavior of DNA over the entire conformational range from rigid rod to flexible coil, using the above parameters. Equilibrium melting curves were determined for various fractions in aqueous 2.4 M tetraethylammonium bromide. A substantial broadening of the transition and decrease of the melting temperature were observed with decreasing molecular weight. Empirical expressions have been obtained relating both the transition temperature and breadth in this solvent to molecular weight.     

Physicochemical parameters of partially hydrolyzed S. salivarius levan fractions

The fractions obtained from the partially hydrolyzed branched Streptococcus salivarius levan were examined in solution. Sedimentation coefficients, S⁰, intrinsic viscosities, [η], weight-average molecular weights, M _w, and radii of gyration were obtained from sedimentation velocity, viscosity, and light-scattering measurements. Double logarithmic plots of [η] vs M _w and S⁰ vs M _w each yielded two linear segments intersecting at M _w ≈ 10⁵. Hydrodynamic data suggest that fractions of M _w > 10⁵ behave as compact spheres, whereas for M _w < 10⁵, the particles are best characterized as linear random coils. Calculations based on theories of random coils and spheres support the above observations.     

Solution properties of synthetic polypeptides. XVII. Stability of the alpha-helical conformation of poly (gamma-benzyl L-glutamate) in helicogenic solvents

The Zimm–Bragg parameters s and σ were determined for poly(γ-benzyl L -glutamate) (PBLG) in m-cresol and in dimethylformamide (DMF) from ORD data as a function of molecular weight. It was found that, within the temperature range between 10 and 55°C and on the average, s = 1.6₁ ± 0.1 and √σ = 0.04 ± 0.01 in m-cresol and s = 1.6₅ ± 0.05 and √σ = 0.045 ± 0.015 in DMF. The values of s in m-cresol decreased with increasing temperature, while the values of σ in the same solvent increased. This result for s suggests that PBLG in m-cresol will undergo a thermal helix–coil transition of normal type. The parameters in DMF showed no appreciable trend to vary with temperature. Aside from the difference between the two solvents, our results are consistent with existing data for various conformation-dependent properties such as light-scattering radius, intrinsic viscosity, and dipole moment, each indicating that the polypeptide chain has some flexibility in helicogenic solvents.     

Molecular weight of xanthan polysaccharide

The molecular weight (M_w) and molecular-weight distribution of the extracellular polysaccharide xanthan, synthesized by the bacterium Xanthomonas campestris, have been determined from measurements of the sedimentation coefficient, s_20,itw, and the intrinsic viscosity, [η], with the aid of the Mandelkern-Flory-Scheraga equation. The sedimentation coefficient of native xanthan was measured by band-sedimentation of polysaccharide molecules that had been tagged with a fluorescent group; the fluorescent label permits the use of very low concentrations of polymer. A typical, native-xanthan sample has M_w  15 x 10⁶; the polydispersity index M_w/M_n is 2.8. Measurement of s and [η] for a homologous series of five xanthan samples having M_w ranging from 0.40 to 15 X 10⁶, prepared by sonication of native xanthan, shows that, for low molecular weight, the intrinsic viscosity [η] obeys the relation [η]  KM^1.35. The high value of the Staudinger exponent in this relation demonstrates that xanthan is a rod-like molecule having stiffness similar to that of native DNA, which has a Staudinger exponent of 1.32. Moreover, the absolute values of [η] suggest that xanthan has a mass per unit length of about 1900 daltons/nm, which is twice the mass per unit length of the single-stranded structure proposed from X-ray work.     

Ionic polysaccharides. IV. Free-rotation dimensions for disaccharide polymers. Comparison with experiment for hyaluronic acid

The root-mean-square end-to-end distance has been calculated for a model allowing free rotation about glycoside bonds for the general case of polysaccharides having a disaccharide repeating unit. Numerical estimates are given for several naturally occurring structures based on an idealized pyranose unit in the C1 chair conformation. Extrapolation procedures which make use of the intrinsic viscosity [η] in good solvents to obtain unperturbed dimensions do not represent, data for hyaluronic acid very well, especially at low molecular weights. However, order-of-magnitude estimates suggest that this polymer behaves similarly to other polysaccharides, and probably has stiffer local structure than typical non-ionic synthetic polymers. A double logarithmic plot of the product of [η] and M?_w, the weight-average molecular weight, against the degree of polymerization in the range for M?_w of 10⁴ to 2 × 10⁴ permits a straight-line fit of available data for all the glycosaminoglycans, including heparin and the chondroitin sulfates, as well as sodium carboxymethyl cellulose. This result suggests similarity of short-chain hydrodynamic behavior of these polymers.     

Solution properties of synthetic polypeptides. VI. Helix-coil transition of poly-N5-(3-hydroxypropyl)-L-glutamine

A new procedure for evaluating u and σ characterizing σ-helix-forming polypeptides in solution was derived from Nagai's theory for the helix–coil transition of such polymers. Here u is the activity for helix formation from random coil, and σ is the helix initiation parameter. The necessary data are the helical content f_N at fixed solvent and temperature as a function of N, where N is the degree of polymerization of the polypeptide sample. Such data were obtained from ORD measurements on a number of fractionated samples of poly-N⁵-(3-hydroxypropyl)-L -glutamine (PHPG) in mixtures of water and methanol covering the complete range of composition and at various termperatures (5–40°C). When analyzed in terms of the proposed procedure, they yielded values of σ which were in the range (3.2 ± 0.6) × 10^?4, substantially independent of solvent composition and temperature. These values were much larger than those obtained recently for σ of poly(β-benzyl-L -aspartate) in m-cresol and in a mixture of chloroform and DCA. The data for [η] and s₀ (limiting sedimentation coefficient) as functions of molecular weight indicated that the molecular shape of PHPG in pure methanol is essentially rodlike, whereas that in pure water is not entirely randomly coiled but rather may be regarded as an interrupted helix. These indications were consistent with the results from ORD measurements. When plotted against the corresponding values of f_N, the values of [η] and [s₀] for PHPG in mixtures of water and methanol of various compositions and temperatures formed smooth composite curves, and we attributed these phenomena to the fact that σ of PHPG was nearly constant under these solvent conditions. Here [s₀] stands for a reduced limiting sedimentation coefficient which is equal to the inverse friction factor of the solute molecule.     

Physicochemical studies on xylinan (acetan). III. Hydrodynamic characterization by analytical ultracentrifugation and dynamic light scattering

A laboratory-made sample of the polysaccharide xylinan (acetan) has been further characterized with respect to (i) purity, (ii) molar mass and polydispersity, and (iii) gross conformation by a combination of hydrodynamic measurements (sedimentation velocity and equilibrium analytical ultracentrifugation, viscometry, and dynamic light scattering) in aqueous NaCl (I = 0.10 mol·L⁻¹). Sedimentation velocity diagrams recorded using Schlieren optics revealed highly pure material sedimenting as a single boundary [s^o_20.w = 9.5 ± 0.7) S; k_s = (273 ± 112) mL/g]. The hypersharp nature of these boundaries is symptomatic of a polydisperse and highly nonideal (in the thermodynamic sense) system. Low speed sedimentation equilibrium in the analytical ultracentrifuge using Rayleigh interference optics and two different types of extrapolation procedure (involving point and whole-cell molar masses) gave a weight average molar mass M_w of (2.5 ± 0.5) × 10⁻⁶ g·mol⁻¹ and also a second virial coefficient, B = (2.8 ± 0.7) × 10⁻⁴ mL·mol·g⁻², both values in good agreement with those from light scattering-based procedures (Part II of this series). A dynamic Zimm plot from dynamic light scattering measurements gave a z-average translational diffusion coefficient D^o_20.w = (3.02 ± 0.05) × 10⁻⁸ cm²·s⁻¹ and the concentration-dependence parameter k_D = (370 ± 15) mL/g. Combination of s^o_20.w with D^o_20.w via the Svedberg equation gave another estimate for M_w of ≅ 2.4 × 10⁶ g/mol, again in good agreement. Both the Wales-van Holde ratio (k_s/[η]) ≅ 0.4 (with [η] = (760 ± 77) mL/g) and the ρ-parameter (ratio of the radius of gyration from static light scattering to the hydrodynamic radius from dynamic light scattering) as ρ > 2.0 all indicate an extended conformation for the macromolecules in solution. These findings, plus Rinde-type simulations of the sedimentation equilibrium data are all consistent with the interpretation in terms of a unimodal wormlike coil model performed earlier. © 1996 John Wiley & Sons, Inc.     

Double-stranded helix of xanthan: Rigidity in 0.01M aqueous sodium chloride containing 0.01 N hydrochloric acid

Six samples of Na xanthan in 0.01M aqueous NaCl containing 0.01 N HCl (pH = 2) were studied by light scattering and viscosity. This study was motivated by the finding that the intrinsic viscosity [η] fairly sharply decreased when the pH of the solvent was lowered from about 6 to 2 by adding HCl to 0.01M aqueous NaCl in which Na xanthan dissolves as rigid dimers having a double-helical structure. The data for weight-average molecular weight, radius of gyration, and [η] showed that Na xanthan at pH = 2 remains a dimer behaving as a semiflexible chain. Data analysis in terms of known theories for unperturbed wormlike chains yielded 0.47 ± 0.02, 2.0 ± 0.6, and 68 ± 7 nm for the contour length h per main-chain residue, diameter d, and persistence length q of the dimer, respectively. these h and d values agreed with the pitch per main-chain residue and the diameter of the double helix of Na xanthan in 0.01 or 0.1M aqueous NaCl. However, the q value, which was close to the intrinsic persistence length q₀ ( = q in the absence of electrostatic interaction) of Na xanthan at pH = 2, was much smaller than the q₀ (106 nm) of this helix. We concluded that the xanthan dimer at pH = 2 assumes a double-helical structure, which is geometrically the same as, but is more flexible than, that at neutral pH.     

Characteristic parameters and polydispersity elimination factors for hydrodynamic quantities of semirigid polymers, especially of DNA

Relations are given allowing the calculation of intrinsic viscosity, diffusion constant, and related molecular weights of monodisperse subfractions of polydisperse samples from the measured averages of the hydrodynamic quantities and the individual (reduced) sedimentation constant distribution. The peculiarities resulting from the special behavior of semirigid polymers like DNA are treated. Expressions are derived which describe the dependence of the exponents a_s(a_ηs = a_η/a_s), and a_η of the relations s^o = k_sM^as [η] = k_ηs(s^o)^aηs, and [η] = k_ηM^aη on s^o and [η], respectively, and which are useful for practical and theoretical discussions of the wormlike chain. Furthermore, a generalized exponent rule for a_η and a_s has been suggested, considering the dependence of the Mandelkern-Flory-Scheraga parameter β(?Φ^1/3P^?1) on molecular weight. The results of this paper are applied extensively in the following paper to molecular weight and hydrodynamic properties of homogeneous DNA.     

Reversing-pulse electric birefringence of poly (γ-benzyl-L-glutamate). II. Field-strength dependence of steady-state and decay signals of well-fractionated samples

The electric field dependence (up to 21 kV/cm) of the steady-state and decay signals has been examined on the four well-fractionated samples of poly(γ-benzyl-L -glutamate), [Glu(OBzl)]_n, in N,N-dimethylformamide at 535 nm and 20°C. Together with the data previously obtained from the reversing-pulse electric birefringence [Ueda, K., Nomura, M. & Yamaoka, K. (1983) Biopolymers 22 , 2077–2090], the steady-state birefringence and field-free relaxation time were analyzed by a method that takes into account the polydispersity of the chain length. The weight-average chain length, (l_w), permanent dipole moment, (μ_w), electric polarizability anisotropy, (Δα_w), and the length-independent optical anisotropy factor were evaluated. The axial translation per residue was calculated for the [Glu(OBzl)]_n helix, but the uncertainly involved in the weight-average molecular weights, determined from light scattering by different investigators, makes the determination of the exact conformation of [Glu(OBzl)]_n difficult. The contribution of Δα_w to electric field orientation was found to be significant, since Δα_w was approximately proportional to l_w. A linear relationship also exists between μ_w and l_w, when the [Glu(OBzl)]_n helix is shorter than about 1200 Å.     

A complete hyaluronan hydrodynamic characterization using a size exclusion chromatography-triple detector array system during in vitro enzymatic degradation

Size exclusion chromatography coupled with triple detection (online laser light scattering, refractometry, and viscosimetry) (SEC-TDA) was applied for the study of hyaluronan (HA) fragments produced during hydrolysis catalyzed by bovine testicular hyaluronidase (BTH). The main advantage this approach provides is the complete hydrodynamic characterization without requiring further experiments. HA was hydrolyzed using several BTH amounts and for increasing incubation times. Fragments were characterized in terms of weight and number average molecular weights (M_w and M_n, respectively), polydispersity index (M_w/M_n), hydrodynamic radius (R_h), and intrinsic viscosity ([η]). The Mark-Houwink-Sakurada (MHS) curves (log [η] versus log M_w) were then derived directly. Fragments covering a whole range of M_w (10-900 kDa) and size (R_h = 4-81 nm) and presenting a rather narrow distribution of molar masses (M_w/M_n = 1.6-1.7) were produced. From the MHS curves, HA conformation resulted in a change from a random coil toward a rigid rod structure while decreasing the M_w. HA enzymatic hydrolysis in the presence of a BTH inhibitor was also monitored, revealing that inhibition profiles are affected by ionic strength. Finally, a comparison of the kinetic data derived from SEC-TDA with the data from rheological measurements suggested different strengths of the two methods in the determination of the depolymerization rate depending on the hydrolysis conditions.     

Transient electric birefringence of the bacteriophages T3 and T7

Electric birefringence measurements of suspensions of T3 and T7 bacteriophages in 10^?2 M phosphate buffer, pH 6.9, show that there is a difference in their rotational diffusion coefficient. The values corrected to 25°C and water viscosity are D_25,w = 4630 ± 130 sec^?1 and D_25,w = 5290 ± 260 sec^?1 for T3 and T7, respectively. The value obtained from shell model calculations (according to Filson and Bloomfield) is D_25,w = 4500 ± 600 sec^?1. The apparent permanent dipole moments are 4.5 × 10^?26 C·m and 1.7 × 10^?26 C·m for T3 and T7, respectively. For both phage particles the intrinsic optical anisotropy is +7.2 × 10^?3. It is shown that this anisotropy is mainly due to the DNA molecule inside the head of the phage. Its positive value means that there exists an excess orientation of the DNA helix perpendicular to the symmetry axis of the particle. For T7 an unexpectedly large increase of Δn_s and K_sp occurs at a glycerol concentration of about 30% (v/v). This increase is interpreted as being caused by a change of the shape of the particle and/or a change in the secondary structure of the DNA inside the head of the bacteriophage.     

Photon correlation spectroscopy, total intensity light scattering with laser radiation, and hydrodynamic studies of a well fractionated DNA sample.

A Malvern laser light-scattering instrument has been modified for use at scattering angles down to 5° and both total intensity and quasi-elastic scattering experiments. A sample of sheared, length-fractionated calf-thymus DNA was characterized by sedimentation, viscosity and electron microscopy. Quasi-elastic scattering and absolute intensity determinations were performed with the laser instrument and intensity determinations only with a Fica conventional light-scattering photometer. The total intensity experiments gave M?_w = (3.75 ± 0.15) × 10⁶ and 〈R²〉^1/2_z = (206.9 ± 10.3) nm which yielded a value for the persistence length, allowing for polydispersity, of 66 ± 6nm. The quasi-elastic experiments at scattering angles below 20° gave D⁰_{20, w} = (2.23 ± 0.06) × 10^?8 cm²/sec which combined with S⁰_{20, w} = 15.6 in the Svedberg equation gave M?_w = (3.73 ± 0.18) × 10⁶. In addition, from the higher angle data we extracted a value of the longest intramolecular relaxation time, τ1 of 17.5 msec. This is not in particularly good agreement with τ1 predicted by the Zimm–Rouse theory using our other experimental parameters. The disagreement may be due to the restricted applicability of the Zimm–Rouse spring-bead model as a quantitative representation of DNA molecules. Alternatively, it may be due to present difficulties in the unambiguous interpretation of molecular motions from the experimental autocorrelation functions.     

In situ synthesis of (5-phenyl-1H-pyrazole-3-carboxylic acid) metal complexes and their stable supramolecular microporous frameworks

By in situ generation of ppc ligand in the presence MCl₂ and 3-phenyl-1H-pyrazole-5-carbohydrazide at room temperature, the complexes, [M(ppc)₂(DMF)₂]·2H₂O (M = Co (1) and Ni (2); ppc = 5-phenyl-1H-pyrazole-3-carboxylic acid), were synthesized and characterized by single-crystal X-ray diffraction, IR spectrum, UV spectra and elemental analysis. X-ray structural analysis revealed that the complexes were formed into 3D supramolecular polymers via C-H?O and π?π interactions. The 3D supramolecular networks of two complexes were constructed from 1D nanochannels along the c-direction with the disorder DMF and water solvent molecules shuttling easily. TG and powder X-ray diffraction analysis showed two complexes had high stability when DMF and H₂O molecules were removed. Upon DMF molecules liberated, two complexes become stable microporous solid with coordination-unsaturated [M(ppc)₂] as center. The electrochemical properties were also investigated.     

Structure of native proteoglycan aggregates from chick limb-bud chondrocytes

Laser light-scattering has been used to investigate the size of native proteoglycan aggregates (PGA-aA1) from day-8 chick limb-bud chondrocyte cultures isolated under associative extraction and purification conditions in 0.4M guanidinium chloride (GdnHCl) solution. Dynamic light-scattering measurements yielded a hydrodynamic radius, R_s, of 244 ± 10 nm for PGA-aA1 in 0.4M GdnHCl, and a weight-average molecular weight (M _w) of 150 ± 50 × 10⁶ was obtained from a Zimm plot. Disaggregation in 4.0M GdnHCl aqueous solution yielded proteoglycan subunits (PGS) with R_s = 39 ± 2 nm, M _w = 1.6 ± 0.3 × 10⁶, which reassembled in 0.4M GdnHCl to form “reconstituted native” aggregates (PGA-raA1) with R_s = 121 ± 6 nm, M _w = 17 ± 3 × 10⁶. A second specimen of PGA-aA1 had R_s = 192 ± 10 nm, M _w = 100 ± 10 × 10⁶. The latter value was estimated from an empirical relationship between M _w and R_s. After dissociation, this specimen reassembled to form PGA-raA1 with R_s = 85 ± 5 nm, M _w = 12 ± 1 × 10⁶. These data are compared with those for a specimen of reconstituted aggregate (PGA-A1) that had been extracted under dissociative conditions and then reaggregated by dialysis to 0.4M GdnHCl aqueous solution, for which R_s = 138 ± 9 nm, M _w = 45 ± 8 × 10⁶. From these values, we have calculated the weight-average number of subunits per aggregate N_w: 111 for PGA-aA1 and 12 for raA1 (70 and 7 for the second PGA-aA1 and PGA-raA1 specimen, respectively) as compared to 32 for PGA-A1. The numbers of subunits per aggregate were also determined from electron micrographs of spread specimens. The latter results show the same trends as those obtained by light scattering, but lead in each case to lower numbers of subunits per aggregate. These data demonstrate conclusively that PGA samples exhibit a higher degree of aggregation in solution than visualized in typical electron microscopy (EM) preparations, probably due to disaggregation during EM specimen preparation. Since N_w determined both by light scattering (LS) and by EM are larger for native versus reconstituted aggregate samples, our data point to a more compact aggregation of subunits along the hyaluronic acid (HA) chains in the former.     

Diffusion of DNA at very low concentrations

The diffusion behavior of DNA samples of molecular weights between 1 × 10⁶ and 25 × 10⁶ Daltons was investigated under standard conditions at mean concentrations c? between 0.0009 and 0.017 g/dl. Special techniques described previously were used and supplemented. The sensitivity required was accomplished by multiple passage through the sample cells (effective path length of 10–45 cm) and application of the Gouy interference method. The maximum DNA refraction index difference has been determined more precisely from Gouy interference fringes by applying a systematic variation procedure and a linear-plot criterion. Convection was prevented by a temperature constancy better than 0.002°C/day, vibrationless operation, and by application of a slight density gradient of heavy water, which also improved the boundary-forming procedure. The corresponding optical HDO gradient was compensated. The concentration dependence of the DNA diffusion coefficient average D_A was found to be positive and very small at extremely low concentrations, that is, below c? = 0.008 g/dl, for the sample of highest molecular weight investigated. With beginning penetration of different DNA molecules, D_A increases markedly. The diffusion constant averages of our polydisperse samples will be corrected for monodisperse subfractions in a following paper. The resulting molecular weights M from diffusion and sedimentation constants (D⁰, s⁰) together with data from literature are the basis of new s⁰–M, D⁰ ? M, and [η]–M relations for monodisperse DNA samples.     

Viscometry and sedimentation equilibrium of partially hydrolyzed hyaluronate: Comparison with theoretical models of wormlike chains

Fractionated samples of sodium hyaluronate of low molecular weight were used to calibrate the carbazole method for glucuronyl analsis and to determine the density increment (based on dry weight) of 0.444 (±0.003) mL/g in water and 0.386 (±0.003) mL/g for samples dialyzed against 0.2M NaCl. Weight-average molecular weights obtained by high-speed sedimentation equilibrium were used to calibrate the limiting viscosity number [η] in 0.2M NaCl, which gave [η]/M_w = 0.0028 (±0.0002) mL/g, valid to M_w = 0.0028 (±0.0002) mL/g, valid to M_w = 10⁵. Experimental data from this work and the literature, including viscosity and light- and small-angle x-ray scattering measurements, were compared to theoretical chain models of the Kratky-Porod (KP) wormlike and the helical wormlike (HW) chain, as treated by Yamakawa and collaborators. Although either model could be fitted to experimental data about equally well with consistent parameters, provided those for the HW chain were of weakly helical nature, calculation of the unperturbed meansquare end-to-end distance as a function of chain length from a conformational model favored the KP chain alternative. The parameters that provide the best fit to experimental data for the KP wormlike model are a persistence length of 4.5–5 nm and a diameter of 1.1 nm. The latter is resonable for a hydrated hydrodynamic cylinder in view of the approximate unhydrated value of 0.7 nm estimated from the density increment.