Interpretation of 25Mg spin relaxation in Mg-DNA solutions: temperature variation and chemical exchange effects.

The temperature dependencies of line shapes and spin-lattice relaxation times T1 have been measured for 25Mg in dilute solutions of Na-DNA/NaCl containing varying amounts of added magnesium(II) ions. The 25Mg spectrum is clearly non-Lorentzian, due to the presence of motions modulating the quadrupolar interaction that are slow compared to the inverse of the Larmor frequency. The weakly temperature-dependent line shapes and relaxation rates appear to be influenced by the relatively slow exchange of the Mg2+ ions between the DNA surface and the aqueous bulk phase. The observed temperature dependencies depend on the ratio of total magnesium to DNA phosphate, Mg/P. The line shape as well as the temperature dependence of the line width at half height can be qualitatively reproduced with a two-site discrete exchange model for the quadrupolar relaxation of a spin 5/2 nucleus in isotropic solution. The calculations give a value of the lifetime for magnesium bound to DNA of 4 ms at room temperature. Previously reported temperature-dependent 43Ca relaxation measurements in DNA solution can be reproduced under the assumption of a mean lifetime of bound calcium that is not larger than 2 ms but not smaller than 50 microseconds at room temperature. The temperature variation of T1 for 25Mg has been calculated, giving some qualitative agreement with the data. The correlation time for bound 25Mg has been found to be about 40 ns at room temperature.     

Correlated motions of C′–N and C<Subscript>α</Subscript>–C<Subscript>β</Subscript> pairs in protonated and per-deuterated GB3

We investigated correlated µs-ms time scale motions of neighboring ¹³C′–¹⁵N and ¹³C_α–¹³C_β nuclei in both protonated and perdeuterated samples of GB3. The techniques employed, NMR relaxation due to cross-correlated chemical shift modulations, specifically target concerted changes in the isotropic chemical shifts of the two nuclei associated with spatial fluctuations. Field-dependence of the relaxation rates permits identification of the parameters defining the chemical exchange rate constant under the assumption of a two-site exchange. The time scale of motions falls into the intermediate to fast regime (with respect to the chemical shift time scale, 100–400 s^?1 range) for the ¹³C′–¹⁵N pairs and into the slow to intermediate regime for the ¹³C_α–¹³C_β pairs (about 150 s^?1). Comparison of the results obtained for protonated and deuterated GB3 suggests that deuteration has a tendency to reduce these slow scale correlated motions, especially for the ¹³C_α–¹³C_β pairs.     

Exploring the peptide 310-helix ⇆ α–helix equilibrium with double label electron spin resonance

Over the last several years we have used spin labeling as a means for exploring the structure of helical peptides. Two nitroxide labels are engineered into a peptide sequence and distances are ranked with electron spin resonance (ESR). We have found that there is a significant amount of 3₁₀–helix in 16–residue model peptides containing only L –amino acids. This review covers several facets of the methodology including spin labeling strategy, interpretation of ESR spectra and the influence of molecular dynamics on the spectral line shapes. Also covered are recent findings of a length–dependent 3_l0-helix → α-helix transition and the role of Arg⁺ in the stabilization of specific helix structures. © 1994 John Wiley & Sons, Inc.     

Conformation of tetranactin in solution.

The conformation of tetranactin, an ionophore, in chloroform was investigated by infrared and Raman spectra and by proton and ¹³C magnetic resonances. The infrared spectra show that the structure of its K⁺ complex in the solution is quite similar to that in crystals. The proton spin–spin coupling constants are explained well by assuming that the crystalline structure is retained in solution. The spin–lattice relaxation times of the ¹³C nuclei of the K⁺ complex indicate that its framework is rigid. The correlation time of the overall reorientation of the molecule was calculated to be 9 X 10^?11 sec. On the other hand, the conformation of the complexed form in chloroform differs from that in crystals. Despite the geometrical nonequivalence of the four subunits in the crystalline state, the nuclear magnetic resonance spectra show their magnetic equivalence in the solution. The proton spin–spin coupling constants have values that are averaged by rapid internal rotation. The spin–lattice relaxation times of the ¹³C nuclei in its framework are unexplained by the overall reorientation of the molecule, and reveal the existence of internal motion in the framework. The rate of the local motion of the framework is between 10²–10¹⁰ sec^?1. By comparison of the infrared spectra, it can be said that the mean conformation of the fluctuated framework of the uncomplexed tetranactin in the solution is similar to that of nonactin in the crystalline form, which has an S₄ symmetry axis through the center of the macrocyclic ring.     

25Mg-nmr investigations of the magnesium ion–DNA interaction

²⁵Mg-nmr data are reported that address the nature of the magnesium ion–DNA interaction. It is found that competitor ions such as calcium, mercury, zinc, and cobalt ions are not effective in competing for all of the magnesium ion–DNA interaction that is reported by the ²⁵Mg-nmr spectrum. The temperature dependence of the ²⁵Mg-nmr spectrum in DNA solution studied at high concentrations of competitor ion indicates that the chemical-exchange lifetime of the magnesium ions at DNA binding sites makes a major contribution to the ²⁵Mg-nmr line width. However, the activation parameters are not consistent with the temperature dependence of either transport properties or chemical exchange with phosphate groups alone, but are consistent with a sum of at least two processes that provide opposing contributions to the ²⁵Mg-nmr relaxation. It is also shown that the non-Lorentzian character of the ²⁵Mg-nmr line previously reported is consistent with the effect of an incompletely averaged static nuclear electric quadrupole interaction and/or an exchange process that is slow with respect to the magnitude of this interaction. Because the concentrations employed in these experiments are high, the present data do not provide a direct or critical test of the electrostatic theories of ion–polyelectrolyte interaction. The present data do demonstrate, however, that such theories alone are insufficient as a basis for understanding the ²⁵Mg-nmr data.     

Low-frequency spectroscopy of four-photon scattering in aqueous solutions of biopolymers

The novel method of nonlinear laser spectroscopy — low frequency spectroscopy of four-photon scattering of laser radiation was applied to detect a considerable growth of ortho-H₂O spin isomer and also H₂O₂ molecule concentration in a hydrate layer at the interface between water and DNA, denatured DNA molecules and α-chymotrypsin. Spectra of rotational resonances of ortho/para-H₂O spin isomers were observed in aqueous solutions of different biopolymers and also in distilled water in the range from zero to 100 cm^?1 with the spectral resolution of 0.05–0.1 cm^?1. The fitting of four-wave mixing spectra shows notable growth of the H₂O₂ concentration and rotational line’s amplitude by a factor of ～3 in DNA solutions due to denaturizing. Besides, we studied the four-photon scattering spectra of α-chymotrypsin aqueous solutions at protein concentrations between 0 and 20 mg/cm³ in the range of ±7 cm^?1. We found that the velocity of sound in the protein aqueous solution measured by the shift of the Mandelstam-Brillouin scattering spectrum components was a cubic dependence on the protein concentration and reached the value of about 3000 m/s at 20 mg/cm³.     

Magnesium-DNA interactions from interpretation of 25Mg-nmr relaxation rates: Field and coion dependence

We have used ²⁵Mg-nmr to investigate the binding of magnesium ions to double-stranded DNA. We have measured line shapes for ²⁵Mg in the presence of monodisperse calf thymus DNA (160 base pairs; b.p.) (magnesium : phosphate = 2.0) at two different field strengths, 11.75 T and 7.05 T, and used the isotropic model of two-site exchange developed by Westlund and Wennerstrom to simultaneously fit the line shapes at both field strengths. This model does not reproduce the observed field dependence. This is in contrast to a previous study [E. Berggren, L. Nordenskiold, and W. H. Braunlin (1992), Biopolymers, Vol. 32, pp. 1339–1350] in which a similar model of isotropic two-site exchange qualitatively reproduced the temperature dependence of the line widths. Relaxation rates were also measured as a function of magnesium : phosphate ratio and colon type. These measurements were used to assess the sensitivity of magnesium relaxation measurements to small changes in DNA structure induced by changes in the solvent environment. The temperature dependence of the line shape varies with the type of coion (chloride or sulfate) present. This coion dependence of the line shape is consistent with the coion dependence of the aggregation midpoint temperature reported by Bloomfield and co-workers [O. A. Knoll, M. G. Fried, and V. A. Bloomfield (1988) in Structure and Expres-sion, Vol. 2, R. H. Sarma and M. H. Sarma, Eds., Adenine Press, New York] and attributed to a lyotropic effect. These results suggest that even at low magnesium : phosphate ratios, relaxation parameters are specific to each magnesium–coion–DNA system. © 1994 John Wiley & Sons, Inc.     

Interactions of DNA with divalent metal ions. I. 31P-nmr studies

³¹P-nmr has been used to investigate the specific interaction of three divalent metal ions, Mg²⁺, Mn²⁺, and Co⁺², with the phosphate groups of DNA. Mg²⁺ is found to have no significant effect on any of the ³¹P-nmr parameters (chemical shift, line-width, T₁, T₂, and NOE) over a concentration range extending from 20 to 160 mM. The two paramagnetic ions, Mn²⁺ and Co²⁺, on the other hand, significantly change the ³¹P relaxation rates even at very low levels. From an analysis of the paramagnetic contributions to the spin–lattice and spin–spin relaxation rates, the effective internuclear metal–phosphorus distances are found to be 4.5 ± 0.5 and 4.1 ± 0.5 Å for Mn²⁺ and Co²⁺, respectively, corresponding to only 15 ± 5% of the total bound Mn²⁺ and Co²⁺ being directly coordinated to the phosphate groups (inner-sphere complexes). This result is independent of any assumptions regarding the location of the remaining metal ions which may be bound either as outer-sphere complexes relative to the phosphate groups or elsewhere on the DNA, possibly to the bases. Studies of the temperature effects on the ³¹P relaxation rates of DNA in the absence and presence of Mn²⁺ and Co²⁺ yielded kinetic and thermodynamic parameters which characterize the association and dissociation of the metal ions from the phosphate groups. A two-step model was used in the analysis of the kinetic data. The lifetimes of the inner-sphere complexes are 3 × 10^?7 and 1.4 × 10^?5 s for Mn²⁺ and Co²⁺, respectively. The rates of formation of the inner-sphere complexes with the phosphate are found to be about two orders of magnitude slower than the rate of the exchange of the water of hydration of the metal ions, suggesting that expulsion of water is not the rate-determining step in the formation of the inner-sphere complexes. Competition experiments demonstrate that the binding of Mg²⁺ ions is 3–4 times weaker than the binding of either Mn²⁺ or Co²⁺. Since the contribution from direct phosphate coordination to the total binding strength of these metal ion complexes is small (～15%), the higher binding strength of Mn²⁺ and Co²⁺ may be attributed either to base binding or to formation of stronger outer-sphere metal–phosphate complexes. At high levels of divalent metal ions, and when the metal ion concentration exceeds the DNA–phosphate concentration, the fraction of inner-sphere phosphate binding increases. In the presence of very high levels of Mg²⁺ (e.g., 3.1M), the inner-sphere ? outer-sphere equilibrium is shifted toward ～100% inner-sphere binding. A comparison of our DNA results and previous results obtained with tRNA indicates that tRNA and DNA have very similar divalent metal ion binding properties. A comparison of the present results with the predictions of polyelectrolyte theories is presented.     

Recrystallization of Ice Crystals in Trehalose Solution at Isothermal Condition

An isothermal ice recrystallization behavior in trehalose solution was investigated. The isothermal recrystallization rate constants of ice crystals in trehalose solution were obtained at ?5 °C, ?7 °C, and ?10 °C. Then the results were compared to those of a sucrose solution used as a control sample. Simultaneous estimation of water mobility in the freeze-concentrated matrix was conducted by ¹H spin–spin relaxation time T₂ to investigate mechanisms causing the different ice crystal recrystallization behaviors of sucrose and trehalose. At lower temperatures, lower recrystallization rates were obtained for both trehalose and sucrose solutions. The ice crystallization rate constants in trahalose solution tended to be smaller than those in sucrose solution at the same temperature. Although different ice contents (less than 3.6%) were observed between trehalose and sucrose solutions at the same temperature, the recrystallization behaviors of ice crystals were not markedly different. The ¹H spin–spin relaxation time T₂ of water components in a freeze-concentrated matrix for trehalose solution was shorter than in a sucrose solution at the same temperature. Results show that the water mobility of trehalose solutions in freeze-concentrated matrix was less than that of sucrose solutions, which was suggested as the reason for retarded ice crystal growth in a trehalose solution. Results of this study suggest that the replacement of sucrose with trehalose will not negatively affect deterioration caused by ice crystal recrystallization in frozen foods and cryobiological materials.     

Dielectric properties of hydrated collagen

Dielectric measurements have been carried out on partially hydrated collagen in the frequency ranges 100 kHz–5 MHz, 100 MHz–1 GHz, and 8–23 GHz. In the low-frequency range, a dispersion was observed around 100 kHz which results from inhomogeneous conductivity of the samples. A dielectric relaxation was observed aroud 0.3 GHz using time-domain-spectroscopy techniques. This relaxation can be considered to originate from mobile side chains. Microwave measurements indicate that the water relaxation may extend into the 10-GHz region. An apparent discrepancy between the main water relaxation time and the average rotational correlation time of water as measured by nmr line widths was resolved by the assumption that a fraction of the water molecules is bound to the collagen with residence times on the order of 10^?6 sec, whereas the remainder of the water is only weakly bound and exhibits rotational rates on the order of 10^?10 sec.     

Proton and phosphorus-31 magnetic relaxation studies on the interaction of polyriboadenylic acid with Mn2+

Proton and phosphorus-31 nuclear spin–lattice relaxation times T₁ and spin–spin relaxation times T₂ have been measured on the single-stranded polyriboadenylic acid [poly(A)]–Mn²⁺ system in a neutral D₂O solution in the temperature range 10°–90°C at 100 and 40.5 MHz, respectively, with the Fourier transform nmr method. Minimum values of T₁ have been found for all these nuclei, which have enabled the exact estimation of apparent distances from Mn²⁺ to H₂, H₈, H_1′, and the phosphorus nucleus to be 4.7, 4.1, 5.2, and 3.0 Å, respectively. The electron spin of Mn²⁺ penetrates into the phosphorus nucleus, giving ³¹P hyperfine coupling of more than 10⁶ Hz. Evidence of penetration of the electron spin into H₈ and H₂ is also obtained, suggesting direct coordination of nitrogen atoms of the adenine ring to the Mn²⁺ Ion. Combined with the result from proton relaxation enhancement of water, it is concluded that every Mn²⁺ ion added is bound directly to two phosphate groups with a Mn²⁺–phosphorus distance of 3.3 Å, while a part of the Mn²⁺ ions are simultaneouly bound to the adenine ring. It is estimated that 39 ± 13% and 13 ± 5% of Mn²⁺ are coordinated by N₇ and N₃ (or N₁), respectively. The motional freedom of poly(A) in the environment of the Mn²⁺ binding site has been found to be quenched to the extent that the rotational motion becomes several times slower than that of the corresponding Mn²⁺–free poly(A). The activation energies for the molecular motion are, however, practically unchanged from those for Mn²⁺–free poly(A), and are found to be 8.3, 8.5, 6.1, and 8.7 kcal/mol for H₈, H₂, H_1′, and phosphorus, respectively. T₂ of phosphorus is determined by the dissociation rate (k_?1) of Mn²⁺ from the phosphate group for the whole temperature range studied with activation enthalpy of 6.5 kcal/mol. The dissociation rates of Mn²⁺ from the adenine ring are also estimated from proton T₂ values below 50°C.     

Sodium ion and solvent nuclear relaxation results in aqueous solutions of DNA

The field-dependent ²³Na nuclear relaxation in aqueous DNA solutions has been obtained for a range of temperatures, including the DNA melting region. At least two correlation times are needed to characterize the spectral density function for the ²³Na relaxation. For the slow process (with the largest correlation time), the temperature dependence of the coupling constant and the correlation time were determined, and important premelting effects were observed. Possible origins of the slow process are discussed. The last process is shown to be correlated with the properties of the hydration water of DNA as reflected by the ¹⁷O relaxation rates in these solutions. The influence of the polyelectrolyte and NaCl concentrations on the ²³Na relaxation rate is compared with previous results from solutions of linear flexible polyelectrolytes.     

Thermal transition of DNA measured by NMR spin-echo technique

The thermal helix–coil transition of DNA can be studied by means of the spin-echo technique. The longitudinal spin–lattice relaxation time T1 and the transvense spin–spin relaxation time T2 of the DNA sample show a similar phase transition as observed spec-trophotometrically with increasing and decreasing temperatures. Four slopes on the T1 and T2 temperature relationship curves were found and interpreted as functions of nonrelational hydration of the DNA molecule. The T1 and T2 values differ depending on the native or denatured state of the DNA molecule. The importance of the dynamic equilibrium between water molecules in the hydration lattice and steps in the denaturation of the DNA molecule are discussed. This phenomenon may be directly related to the nonrotational hydration.     

Index to Authors,Volume 7

Abstract

The thermally stimulated depolarization current (TSDC) measurements in frozen aqueous solutions, gels and solid layers of NaDNA show typically up to three dipolar overlapping peaks in the low-temperature range of 80—;150 K. Up to four discrete relaxation peaks have been observed at higher temperatures above 150 K. The low-temperature TSDC peaks are due to the dipolar relaxations of free and loosely bound water which crystallizes. Part of bound water especially in the first hydration shell of DNA molecule is at low temperatures in the form of glass. The transition of this glass from solidlike behavior to liquidlike behavior observed mainly in gels and solid samples is associated with a previously founded TSDC relaxation peak. The peak is at its maximum at 165- 250 K depending on the sample humidity. Existence of this relaxation in the samples with water contents in a broad range confirms, that the slowly relaxing shell (minimally 5–7 water molecules/nucleotide) closely associated with DNA double helix retains its characteristics. Also another peak of the high-temperature band at 180–205 K which was observed in the samples at hydration 2–1800 g H₂O/g dry NaDNA is due to a relaxation in the sample volume. At the highest temperatures relax the space charges trapped at the electrodes.     

Anisotropic rotational motions of poly(L-glutamic acid) in the alpha-helix conformation

The anisotropic rotational motion of the backbone and the side chains of poly(L -glutamic acid) in the α-helical structure was investigated using the ¹³C-T₁ and T₂ relaxation times of all carbon atoms with directly attached protons, obtained at a ¹³C-Larmor frequency of 67.89 MHz. The evaluation of the nmr data was carried out according to the previously derived anisotropic diffusion model, in which the macromolecule is considered a rigid rod. The rotation of the backbone is characterized by two diffusion constants, D₁ and D₃, describing the rotation perpendicular to and around the symmetry axis. The additional internal motion of the C^β-methylene group is described as a jump process with a jump rate, k₁, between two allowed rotametric states. Steric considerations indicate that the occupation of the third rotameric position is forbidden. The rotation of the C^γ-methylene group is decribed as a one-dimensional diffusion process around the C^β–C^γ bond. Investigation of the temperature dependence of the relaxation parameters led to the temperature dependence of the dynamic parameters. Activation energies were determined from these data. The dynamic parameters obtained for poly(L -glutamic acid) at 291 K are compared with the corresponding results of a previous study of poly(L -lysine). The development of an anisotropic diffusion model for the motions of the rod-shaped poly(L -lysine) α-helix and its application to the interpretation of the ¹³C-relaxation data of this molecule have already been published previously. In this model, both the overall molecular tumbling and the various internal motions have been characterized by diffusion constants or jump rates typical for each process. These dynamic parameters can be calculated from the spin–lattice relaxation times, the spin–spin relaxation times and the NOE factors of the C^α, C^β, and C^γ nuclei of the polypetide. In the present paper, we describe the application of the above-mentioned dynamic model to the interpretation of ¹³C-relaxation studies of a further homopolypeptide, poly(L -glutamic acid), in the α-helical structure. Furthermore, we studied the temperature dependence of the relaxation times of this polymer and determined the anisotropic diffusion parameters at each temperature. From their temperature dependence and from comparison of our present results with the data of our previous study of poly(L -lysine), we were able to derive new insights into the intramolecular diffusion processes and the excitation of various motions.     

Proton magnetic relaxation and anion effect in solutions of acid ferricytochrome c.

Measurements of the longitudinal relaxation rates of water protons in aqueous solutions of ferricytochrome c and their temperature dependence, were used for the elucidation of the heme iron ligands at acid pH. The relaxation rates increased with a decrease in pH and pK values of 2.5 and 4.48 were evaluated for the aqueous and 6 m urea solutions, respectively. The results at acid pH are compatible with a structure in which two water molecules exchange rapidly between the coordination sphere of high spin heme iron and the bulk. They suggest that concomitantly with the low-high spin transition the histidine-18 and methionine-80 iron bonds break simultaneously. Addition of various anions, including methanesulfonate at pH 1.95 caused a 85% decrease in the net longitudinal relaxation rate. However, neither the chemical shift nor the width of the methyl proton nmr line of methanesulfonate in solution of acid ferricytochrome c were affected indicating that the effect of anions is not due to a direct binding to the heme iron. The relaxation mechanism of the water molecules in the first coordination sphere of the ferric ion in acid cytochrome c is discussed. It appears that the longitudial relaxation rate is modulated by the electronic correlation time of the ferric ion which was calculated to be τ_s = 6 × 10^?11 sec at 60 MHz.     

Interactions of DNA with divalent metal ions. II. Proton relaxation enhancement studies

The extent and modes of binding of the divalent metal ions Mn²⁺ and Co²⁺ to DNA and the effects of salt on the binding have been studied by measurements of the effects of these paramagnetic metal ions on the longitudinal and transverse relaxation rates of the protons of the solvent water molecules, a technique that is sensitive to overall binding. The number of water molecules coordinated to the DNA–bound Mn²⁺ and Co²⁺ is found to be between five and six, and the electron spin relaxation times and the electron-nuclear hyperfine constants associated with Mn²⁺ and Co²⁺ are little or not affected by the binding. These observations indicate little disturbance of the hydration sphere of Mn²⁺ and Co²⁺ upon binding to DNA. An average 2–3-fold reduction in the exchange rate of the water of hydration of the bound metal ions and an order-of-magnitude increase in their rotational correlation time are attributed to hydrogen-bond formation with the DNA. The binding constants of Mn²⁺ to DNA, at metal concentrations approaching zero, are found to be inversely proportional to the second power of the salt concentration, in agreement with the predictions of Manning's polyelectrolyte theory. A remarkable quantitative agreement with the polyelectrolyte theory is also obtained for the anticooperativity in the binding of Mn²⁺ to DNA, although the experimental results can be well accounted for by another simple electrostatic model. The various modes of binding of divalent metal ions to DNA are discussed.     

Dielectric relaxation of DNA solutions. III. Effects of DNA concentration, protein contamination, and mixed solvents

As a continuation of previous papers [Biopolymers (1976) 15 , 879; (1978) 17 , 1508], the low-frequency dielectric relaxation of DNA solutions was studied with a four-electrode cell and the simultaneous two-frequency measurement. Below a critical concentration, the dielectric relaxation time agrees with the rotational relaxation time estimated from the reduced viscosity and is almost independent of DNA concentration C_p, and the dielectric increment is proportional to C_p. The critical concentration is approximately 0.02% of DNA for molecular weight M_r 2 × 10⁶ and 0.2% for M_r 4.5 × 10⁵ in 1 mM NaCl. Dielectric relaxations are compared for samples before and after deproteinization, and the protein contamination is found to have a minor effect on the dipole moment of DNA. The effect of a mixed solvent of water and ethanol on the dielectric relaxation of DNA is well interpreted in terms of changes in viscosity and the dielectric constant of the solvent, assuming that the relaxation arises from rotation of the molecule with a quasi-permanent dipole due to counterion fluctuation.     

Dynamic Structure of Proteins in Solid State. 1H and 13C NMR Relaxation Study

Abstract

Temperature dependencies of ¹H non-selective NMR T₁ and T₂ relaxation times measured at two resonance frequencies and natural abundance ^l3C NMR relaxation times T_l and T_lr measured at room temperature have been studied in a set of dry and wet solid proteins—;Bacterial RNase, lysozyme and Bovine serum albumin (BSA). The proton and carbon data were interpreted in terms of a model supposing three kinds of internal motions in a protein. These are rotation of the methyl protons around the axis of symmetry of the methyl group, and fast and slow oscillations of all atoms. The correlation times of these motions in solid state are found around 10^?11, 10^?9 and 10^?6 s, respectively. All kinds of motion are characterized by the inhomogeneous distribution of the correlation times. The protein dehydration affects only the slow internal motion. The amplitude of the slow motion obtained from the carbon data is substantially less than that obtained from the proton data. This difference can be explained by taking into account different relative inter- and intra- chemical group contributions to the proton and carbon second moments. The comparison of the solid state and solution proton relaxation data showed that the internal protein dynamics in these states is different: the slow motion seems to be few orders of magnitude faster in solution.     

Determination of the relaxation time of the helix–coil transition of poly(γ-benzyl-L-glutamate) by the nmr technique

NMR measurements of poly(γ-benzyl-L -glutamate) are reported in several different strengths of magnetic field to determine the relaxation time of the helix–coil transition. Nmr spectra of various samples had line shapes varying from the double to single, depending on the extent of the polydispersity of the sample. This result indicated that the correct line shape of a polypeptide is obscured in the overlapping of multipeaks, which are due to the heterogeneity of the molecular weight in the sample. Thus, the conventional line-shape analysis could not be applied to the kinetic study of the helix–coil transition of polypeptides without consideration of this polydispersity effect on the line shape. To overcome this difficulty, we measured linewidths of nmr spectra for fairly monodisperse samples, using various nmr spectrometers, having field strengths from 60 to 220 MHz. The results were analyzed by a quadratic equation, which involves an additional term proportional to the frequency difference of two sites. The equation differs from the conventional quadratic equation, usually utilized in the case of the fast-exchange limit, only in this additional term. This modification is required to evaluate correctly the unusual broadening of the linewidth resulting from the polydispersity effect and to determine the relaxation time reflected in nmr. Nmr spectra of three samples (DP-35, 85, and 250) were measured by 220-, 100-, and 60-MHz spectrometers in trifluoroacetic acid/chloroform at 28°C and linewidths were analyzed. Relaxation times of the helix–coil transition obtained at the transition midpoint are 2.5 × 10^?4, 7 × 10^?4, and 1.1 × 10^?3 sec, for DP-35, 85, and 250, respectively.