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Solid-state NMR investigations of peptide-lipid interaction and orientation of a beta-sheet antimicrobial peptide, protegrin.

Protegrin-1 (PG-1) is a broad-spectrum beta-sheet antimicrobial peptide found in porcine leukocytes. The mechanism of action and the orientation of PG-1 in lipid bilayers are here investigated using (2)H, (31)P, (13)C, and (15)N solid-state NMR spectroscopy. (2)H spectra of mechanically aligned and chain-perdeuterated 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphatidylcholine (POPC) bilayers indicate that PG-1 at high concentrations destroys the orientational order of the aligned lamellar bilayer. The conformation of the lipid headgroups in the unoriented region is significantly altered, as seen from the (31)P spectra of POPC and the (2)H spectra of headgroup-deuterated 1,2-dipalmitoyl-sn-glycero-3-phosphatidylcholine. These observations indicate that PG-1 disrupts microbial membranes by breaking the extended bilayer into smaller disks, where a significant fraction of lipids is located in the edges of the disks with a distribution of orientations. These edges allow the lipid bilayer to bend back on itself as in toroidal pores. Interestingly, this loss of bilayer orientation occurs only in long-chain lipids such as POPC and not in shorter chain lipids such as 1,2-dilauroyl-sn-glycero-3-phosphatidylcholine (DLPC). To understand the mode of binding of PG-1 to the lipid bilayer, we determined the orientation of PG-1 in DLPC bilayers. The (13)CO and (15)N chemical shifts of Val-16 labeled PG-1 indicate that the beta-strand axis is tilted by 55 degrees +/- 5 degrees from the bilayer normal while the normal of the beta-sheet plane is 48 degrees +/- 5 degrees from the bilayer normal. This orientation favors interaction of the hydrophobic backbone of the peptide with the hydrophobic core of the bilayer and positions the cationic Arg side chains to interact with the anionic phosphate groups. This is the first time that the orientation of a disulfide-stabilized beta-sheet membrane peptide has been determined by solid-state NMR.

Amino Acid Sequence↗

Stereochemical origin of opposite orientations in DNA adducts derived from enantiomeric anti-benzo[a]pyrene diol epoxides with different tumorigenic potentials.

When covalently linked to DNA, enantiomeric pairs of mirror image aromatic diol epoxides with differing tumorigenic potencies adopt opposite orientations along the DNA helix. This phenomenon has been observed by high-resolution NMR solution studies in a number of systems. Preliminary modeling efforts [Geacintov et al. (1997) Chem. Res. Toxicol. 10, 111-146) had suggested that the origin of the opposite orientation effect may be manifested even at the level of the carcinogen-modified nucleoside due to primary steric hindrance effects between the aromatic moiety and the attached base and sugar. Such a small system can be computationally investigated extensively, since a very thorough survey of the potential energy surface is feasible. Consequently, in an effort to understand the underlying origins of the opposite orientations in (+)-trans and (-)-trans-anti adduct pairs, we have undertaken an extensive investigation of the paradigm 10S (+) and 10R (-)-trans-anti-[BP]-N2-dG mononucleoside adduct pair, derived from the binding of the (+)-7R,8S,9S,10R and (-)-7S,8R,9R,10S enantiomers of 7,8-dihydro-9,10-epoxy-7,8,9, 10-tetrahydrobenzo[a]pyrene (BP) to the exocyclic amino group of 2'-deoxyguanosine. In the present work we created 373248 different conformers for each adduct, which uniformly sampled the possible rotamers about the three flexible torsion angles governing the orientation of the base (chi) and its covalently linked BP residue (alpha', beta') at 5 degrees intervals, and computed each of their energies with AMBER 4.0. The extensive results permitted us to map the potential energy surface of the molecule. Only four low-energy structural domains are found for the (+)-trans adduct and four for the (-)-trans adduct; the (+)/(-) pairs of each structural domain are mirror images, with the mirror image symmetry broken by the sugar and its attached C4'-C5' group. The most favored of these four is observed experimentally in the duplexes containing the same (+) and (-)-trans-anti-[BP]-N2-dG adducts (Cosman et al. (1992) Proc. Natl. Acad. Sci. U.S.A. 89, 1914-1918; de los Santos et al. (1992) Biochemistry 31, 5245-5252). The origin of the opposite orientations resides in steric hindrance effects resulting from the mirror image relationship of the BP benzylic rings in the adduct pair, such that rotation of one stereoisomer into the conformational domain preferred by the other causes crowding between the base and the BP benzylic ring. Limited conformational flexibility in the torsion angle beta', the one closest to the bulky BP moiety at the linkage site to guanine, plays a key role in governing the orientations in each adduct. The opposite orientation phenomenon is likely to manifest itself when the adducts are processed by cellular enzymes involved in replication, repair, and transcription and thus play a role in the differing biological outcomes stemming from the (+) and (-)-trans-anti adducts.

Benzopyrenes↗

Study of protein conformation and orientation in silkworm and spider silk fibers using Raman microspectroscopy.

Raman microspectroscopy has been used for the first time to determine quantitatively the orientation of the beta-sheets in silk monofilaments from Bombyx mori and Samia cynthia ricini silkworms, and from the spider Nephila edulis. It is shown that, for systems with uniaxial symmetry such as silk, it is possible to determine the order parameters P2 and P4 of the orientation distribution function from intensity ratios of polarized Raman spectra. The equations allowing the calculation of P2 and P4 using polarized Raman microspectroscopy for a vibration with a cylindrical Raman tensor were first derived and then applied to the amide I band that is mostly due to the C=O stretching vibration of the peptide groups. The shape of the Raman tensor for the amide I vibration of the beta-sheets was determined from an isotropic film of Bombyx mori silk treated with methanol. For both the Bombyx mori and Samia cynthia ricini fibroin fibers, the values of P2 and P4 obtained are equal to -0.36 +/- 0.03 and 0.19 +/- 0.02, respectively, even though the two types of silkworm fibroins strongly differ in their primary sequences. For the Nephila edulis dragline silk, values of P2 and P4 of -0.32 +/- 0.02 and 0.13 +/- 0.02 were obtained, respectively. These results clearly indicate that the carbonyl groups are highly oriented perpendicular to the fiber axis and that the beta-sheets are oriented parallel to the fiber axis, in agreement with previous X-ray and NMR results. The most probable distribution of orientation was also calculated from the values of P2 and P4 using the information entropy theory. For the three types of silk, the beta-sheets are highly oriented parallel to the fiber axis. The orientation distributions of the beta-sheets are nearly Gaussian functions with a width of 32 degrees and 40 degrees for the silkworm fibroins and the spider dragline silk, respectively. In addition to these results, the comparison of the Raman spectra recorded for the different silk samples and the polarization dependence of several bands has allowed to clarify some important band assignments.

Animals↗

Determination of calpha chemical shift tensor orientation in peptides by dipolar-modulated chemical shift recoupling NMR spectroscopy.

We present a new method for determining the orientation of chemical shift tensors in polycrystalline solids with site resolution and demonstrate its application to the determination of the Calpha chemical shift tensor orientation in a model peptide with beta-sheet torsion angles. The tensor orientation is obtained under magic angle spinning by modulating a recoupled chemical shift anisotropy (CSA) pattern with various dipolar couplings. These dipolar-modulated chemical shift patterns constitute the indirect dimension of a 2D spectrum and are resolved according to the isotropic chemical shifts of different sites in the direct dimension. These dipolar-modulated CSA spectra are equivalent to the projection of a 2D static separated-local-field spectrum onto its chemical shift dimension, except that its dipolar dimension is multiplied with a modulation function. Both (13)C-(1)H and (13)C-(15)N dipolar couplings can modulate the CSA spectra of the Calpha site in an amino acid and yield the relative orientations of the chemical shift principal axes to the C-H and C-N bonds. We demonstrate the C-H and C-N modulated CSA experiments on methylmalonic acid and N-tBoc-glycine, respectively. The MAS results agree well with the results of the 2D separated-local-field spectra, thus confirming the validity of this MAS dipolar-modulation approach. Using this technique, we measured the Val Calpha tensor orientation in N-acetylvaline, which has beta-sheet torsion angles. The sigma(11) axis is oriented at 158 degrees (or 22 degrees) from the C-H bond, while the sigma(22) axis is tilted by 144 degrees (or 36 degrees) from the C-N bond. Both the orientations and the magnitude of this chemical shift tensor are in excellent agreement with quantum chemical calculations.

Anisotropy↗

The orientation parameter for energy transfer in restricted geometries including block copolymer interfaces: a Monte Carlo study.

We describe Monte Carlo simulations of resonance energy transfer (RET) experiments for immobile donor (D) and acceptor (A) dyes confined to planar, cylindrical, and spherical restricted geometries. We compare values of the quantum efficiency (PhiET) evaluated through consideration of individual donor-acceptor pairs, with values calculated assuming a pre-averaged value of the orientation parameter /kappa/2 = 0.476 appropriate for infinite three dimensional (3D) space. For dyes confined to restricted geometries where the length scale of the confining dimension is less than or equal to the Förster radius R0, the coupling of the orientation parameter and the donor-acceptor distance becomes noticeable. Values of Phi(ET) obtained by proper consideration of the orientation parameter are smaller than those calculated using /kappa/2 = 0.476. We use this Monte Carlo method to reanalyze the fluoresce decay measured from dye-labeled poly(isoprene-b-methyl methacrylate) diblock copolymer with lamellar structure,(1) from which the interface thickness for PI-PMMA lamella can be retrieved. We found the retrieved interface thickness is sensitive to the choice of dipole orientation. If all dipoles in the confined polymer interface have a random orientation, the value of interface thickness was found to be 0.9 +/- 0.2 nm through consideration of individual dipole orientations. Assumption of /kappa/2 = 0.476 in the FRET calculations leads to a larger value of interface thickness (1.3 +/- 0.2 nm) due to the neglect of the coupling between dipole orientation and D-A distance for the dyes confined to lamellar interfaces.

Energy Transfer↗

Orientation of a nanocylinder at a fluid interface.

A nanocylinder placed on a fluid interface can assume an end-on or side-on orientation, or it can immerse itself in the surrounding bulk phases. Any of these orientations can satisfy a mechanical force balance when the particle is small enough that gravitational effects are negligible. The orientation is determined by the surface energies of the fluid-solid, fluid-vapor, and vapor-solid surfaces. A comparison of the energy of each state allows phase diagrams to be defined in terms of the scaled aspect ratio x=2L/pir and the contact angle thetao, where L and r denote the nanocylinder length and radius, respectively. Line tension can also influence the orientations by changing the equilibrium contact angle theta and by increasing the energetic cost of the contact line. Phase diagrams accounting for positive line tensions Sigma are also constructed. These phase diagrams can be divided into two classes. In the first, over some range of x and Sigma, nanocylinders can be driven from side-on to end-on orientations with increasing Sigma. This transition terminates at a triple point where the side-on, end-on, and immersed energies are the same. In the second class, there is no triple point and, for a range of Sigma values, nanocylinders of all aspect ratios x prefer an end-on orientation. In all cases, for high enough Sigma, line tension drives a wetting transition similar to that already noted in the literature for spherical particles. The zero line tension predictions are compared favorably to experiment, in which functionalized gold nanowires made by template synthesis are spread at aqueous-gas interfaces, immobilized using a gel-fixation technique, and observed by scanning electron microscopy. The small aspect ratio particles (disks) were in an end-on configuration, while the longer nanowires were in a side-on orientation, in agreement with the theory.

Journal Article↗

Prediction of the orientations of adsorbed protein using an empirical energy function with implicit solvation.

When simulating protein adsorption behavior, decisions must first be made regarding how the protein should be oriented on the surface. To address this problem, we have developed a molecular simulation program that combines an empirical adsorption free energy function with an efficient configurational search method to calculate orientation-dependent adsorption free energies between proteins and functionalized surfaces. The configuration space is searched systematically using a quaternion rotation technique, and the adsorption free energy is evaluated using an empirical energy function with an efficient grid-based calculational method. In this paper, the developed method is applied to analyze the preferred orientations of a model protein, lysozyme, on various functionalized alkanethiol self-assembled monolayer (SAM) surfaces by the generation of contour graphs that relate adsorption free energy to adsorbed orientation, and the results are compared with experimental observations. As anticipated, the adsorbed orientation of lysozyme is predicted to be dependent on the discrete organization of the functional groups presented by the surface. Lysozyme, which is a positively charged protein, is predicted to adsorb on its 'side' on both hydrophobic and negatively charged surfaces. On surfaces with discrete positively charged sites, attractive interaction energies can also be obtained due to the presence of discrete local negative charges present on the lysozyme surface. In this case, 'end-on' orientations are preferred. Additionally, SAM surface models with mixed functionality suggest that the interactions between lysozyme and surfaces could be greatly enhanced if individual surface functional groups are able to access the catalytic cleft region of lysozyme, similar to ligand-receptor interactions. The contour graphs generated by this method can be used to identify low-energy orientations that can then be used as starting points for further simulations to investigate conformational changes induced in protein structure following initial adsorption.

Adsorption↗

Organization and orientation of amphiphilic push-pull chromophores deposited in Langmuir-Blodgett monolayers studied by second harmonic generation and atomic force microscopy.

Orientation and organization of two amphiphilic push-pull chromophores mixed with two phospholipids (dipalmitoylphosphatidylcholine and dioleoylphosphatidylcholine) in Langmuir-Blodgett (LB) monolayers are investigated by second harmonic generation. The LB monolayers have also been characterized by atomic force microscopy and UV-vis spectroscopy. The effective molecular orientations and hyperpolarizabilities of the chromophores are studied as a function of the phospholipid concentrations. The experimental results are discussed within the frame of a model of orientational distribution of the chromophores which gives the orientational mean angle and bounds on the orientational disorder. The mean orientation of the chromophores is found to be within 45-55 degrees whereas their hyperpolarizability coefficients, measured with respect to quartz, are estimated to be in the range (0.3-0.7) x 10(-27) esu taking account of the maximal orientational disorder.

1,2-Dipalmitoylphosphatidylcholine↗

Orientation dependence of the isoelectric point of TiO2 (rutile) surfaces.

The electroosmotic behavior of the rutile polymorph of titanium dioxide was explored as a function of the crystallographic orientation. Atomic force microscopy (AFM) was employed to make high-resolution force spectroscopy measurements between a silica sphere attached to a traditional, contact-mode AFM cantilever and TiO2(110), TiO2(100), and TiO2(001) surfaces in aqueous solutions. Measurements were taken in multiple solution conditions across a broad range of pH values, and the resultant force-distance curves were used to deduce relative behaviors of each orientation of rutile, with particular interest in changes of the isoelectric point (iep). Differences in the iep as a function of orientation are explained in terms of differences in both the coordination number and density of acidic and basic sites on the surface. The results were supported by angle-resolved X-ray photoelectron spectroscopy (XPS) measurements of a nominal monolayer of palladium metal deposited on each of the three orientations studied. The palladium monolayer served as a means of probing the relative electron affinities of the three surfaces studied, which were exhibited in shifts of the palladium XPS peak that corresponded to differences in the binding energy as a function of the substrate orientation. The correlation between the rutile orientation and the shift in the palladium binding energy corresponded directly to the relationship between the isoelectric point and the orientation, with the surface of lowest isoelectric point exhibiting the highest Pd binding energy.

Journal Article↗

Polarized fluorescence spectroscopy of oriented isolated spinach Photosystem I particles.

The fluorescence anisotropy of Photosystem I (PS I) particles, isolated from spinach chloroplasts and containing approximately 200 chlorophyll molecules per reaction center, is investigated at low temperatures. The particles are oriented by squeezing in polyacrylamid gels with different macroscopic deformation parameters. Fluorescence anisotropy is measured upon steady state excitation with a laser line at 632.8 nm. A formula for the fluorescence anisotropy in oriented Photosystem I particles is applied for a different polarization of the linearly polarized exciting light. Our calculations are based on the consideration of the Photosystem I complex as a triple-chromophore complex: the absorbing chlorophyll molecules (chl), belonging to the light-harvesting complex of PS I (LHC), and two fluorophores, emitting at 720 nm (F720) and at 735 nm (F735), respectively. Using polarized fluorescence spectroscopy with a different polarization of the linearly polarized exciting light, the experimental dependence of the fluorescence anisotropy on this polarization is obtained. Based on this dependence and applying the derived formula, as a first approximation, both the orientation of the photosynthetic pigments with respect to the membrane and their mutual orientation are determined in PS I particles. As the most probable average orientational angles in PS I particles, we obtained the values 35 degrees / 50 degrees , 50 degrees / 60 degrees , and 65 degrees / 67 degrees for the absorbing dipoles of chl and for the emission dipoles of F720 and F735, respectively, with the normal of the plane of the membrane. For their mutual orientation, the following limits are determined: 10 degrees / 20 degrees , 40 +/- 2 degrees , 20 degrees / 30 degrees for the angles between chl and F720, chl and F735; and F720 and F735, correspondingly. Of course, the values of the angles estimated as a result of our study are an average value of all angles of the excited transitions and must be considered as their first approximation valid for the idealized case when all PS I particles are oriented in gel.

Journal Article↗

Orientation in physical reasoning: determining the edge that would be formed by two surfaces.

Physical reasoning is strongly influenced by various parameters of orientation. The authors report 3 experiments in which this phenomenon was explored for a particularly elementary transformation: the formation of a line from the intersection of 2 planes. Participants perceived pairs of planar surfaces (disks) in a variety of orientations in 3-D space and indicated the orientations of the edges that would result if the surfaces interpenetrated. The ranges of error and response time were large. Performance depended on whether the orientation of the edge that would be formed was the same as components of the orientations of the perceived surfaces, the degree to which the orientation of the edge would be canonical in the environment, and whether the angle between the surfaces would be perpendicular. The results are discussed in the context of a general approach to orientation in perception and physical reasoning.

Adult↗

Developmental changes in personal goal orientation from young to late adulthood: from striving for gains to maintenance and prevention of losses.

Using a multimethod approach, the authors conducted 4 studies to test life span hypotheses about goal orientations across adulthood. Confirming expectations, in Studies 1 and 2 younger adults reported a primary growth orientation in their goals, whereas older adults reported a stronger orientation toward maintenance and loss prevention. Orientation toward prevention of loss correlated negatively with well-being in younger adults. In older adults, orientation toward maintenance was positively associated with well-being. Studies 3 and 4 extend findings of a self-reported shift in goal orientation to the level of behavioral choice involving cognitive and physical fitness goals. Studies 3 and 4 also examine the role of expected resource demands. The shift in goal orientation is discussed as an adaptive mechanism to manage changing opportunities and constraints across adulthood.

Adolescent↗

Orientation of spin labels attached to cross-bridges in contracting muscle fibres.

Electron micrographs showing different cross-bridge orientations in different states of muscle fibres, and X-ray diffraction patterns indicating axial cross-bridge disorder in contracting muscle first suggested that force generation in the contracting muscle involved a change in orientation of the myosin heads that form cross-bridges between thick and thin filaments. This has been supported by subsequent work; the myosin molecule has the required flexibility for changes in orientation. The orientation of muscle tryptophans and of probes attached to the myosin heads of permeable muscle fibres depends on the state of the muscle. Recently, fluorescence polarization fluctuations and time-resolved X-ray diffraction patterns have suggested that cross-bridges of a contracting muscle can rotate. We have used electron paramagnetic resonance (EPR) spectroscopy to monitor the orientation of spin labels attached specifically to a reactive sulphydryl on the myosin heads in glycerinated rabbit psoas skeletal muscle. Previously, it has been shown that the paramagnetic probes are highly ordered in rigor muscle, with a nearly random angular distribution in relaxed muscle. We show here that during the generation of isometric tension, approximately 80% of the probes display a random angular distribution as in relaxed muscle while the remaining 20% are highly oriented at the same angle as found in rigor muscle. These findings indicate that a domain of the myosin head does not change orientation during the power stroke of the contractile interaction.

Actins↗

Visual cortical mechanisms detecting focal orientation discontinuities.

Neurons in the primary visual cortex (V1) respond in well defined ways to stimuli within their classical receptive field, but these responses can be modified by stimuli overlying the surrounding area. For example patch-suppressed cells respond to gratings of a specific orientation within their classical receptive field, but the response diminishes if the grating is expanded to cover the surrounding area. We report here more complex effects in many such cells. When stimulated at their optimal orientation, introducing a surrounding field at a significantly different (for example, orthogonal) orientation enhanced their output by both a disinhibitory mechanism and an active facilitatory mechanism producing 'supra-optimal' responses. Importantly, some cells responded well if the orientations of centre and surround stimuli were swapped. The output reflected the discontinuity because neither stimulus component alone was effective. Under these stimulus conditions simultaneously recorded cells with orthogonally oriented receptive fields showed correlated firing consistent with neuronal binding to the configuration. We propose a mechanism integrating orientation-dependent information over adjacent areas of visual space to represent focal orientation discontinuities such as junctions or corners.

Animals↗

Diphenhydramine in Orientals and Caucasians.

The kinetics and psychomotor effects of diphenhydramine were investigated in Orientals and Caucasians. Each of 5 Oriental and 5 Caucasian young adults received on 1 of 3 occasions diphenhydramine 50 mg/70 kg body weight either intravenously or orally, or placebo. Plasma levels of diphenhydramine were measured hourly for 8 hr at each session. Tests of subjective sedation and psychomotor performance were performed at hourly intervals. The results showed that after both intravenous and oral diphenhydramine, at all times Orientals had plasma levels approximately half those of Caucasians. With the assumption of linear kinetics and a 1-compartment open model, analysis of the data showed that the volume of distribution (VD) and plasma clearance (Cl) but not plasma half-life (t 1/2) were higher in Orientals than Caucasians: [VD = 480 +/- 24 (SEM) and 292 +/- 36 1/70 kg; Cl = 79 +/- 7 and 51 +/- 7 1/70 kg/hr; t 1/2 = 4.1 +/- 0.4 and 4.3 +/- 0.4 hr]. Unbound diphenhydramine in fresh plasma was higher in Orientals than Caucasians [24.0 +/- 1.9% (SEM) and 14.8 +/- 1.5%] and probably explains the increased VD in Orientals. Orientals had significantly less sedation and deterioration in psychomotor performance.

Adult↗

Orientational control of fimE expression in Escherichia coli.

Phase-variable expression of type 1 fimbriae is, in part, controlled by site-specific DNA inversion of the fim switch in Escherichia coli. Of the two fim recombinases (FimB and FimE) that catalyse the inversion reaction, FimE exhibits a strong bias for phase switching from the ON to the OFF orientation. The specificity associated with fimE is the result of two different mechanisms: (i) FimE exhibits a preference for the invertible element in the ON orientation as substrate for recombination; (ii) the invertible element in the OFF orientation acts in cis to inhibit recombinase activity (orientational control). We show here that the invertible element negatively regulates fimE, even though expression of a fimE-lacZYA transcriptional fusion is unaffected by orientational control. The fimE transcript extends into the invertible region and hence switch ON-specific and switch OFF-specific mRNA contain different sequences. Furthermore, we show that orientational control is suppressed by the insertion of a structured RNA (tRNA(Gly)) between fimE and the fim switch, indicating that the switch OFF-specific mRNA is inactivated by 3' to 5' degradation. Analysis of the fim switch reveals that it contains two inhibitory elements that exert orientational control independently.

Bacterial Proteins↗

High-intensity transient signals (HITS) as a parameter for optimum orientation of mechanical aortic valves.

BACKGROUND: In previous studies [1,2], the impact of valve orientation on the hemodynamic performance of mechanical aortic valves has been demonstrated. This study investigates Turbulence (RNS values) and High Intensity Transient Signals (HITS) as a new and objective parameter for hemodynamics in different orientations of Medtronic Hall (MH) and St. Jude Medical (SJM) aortic valves. METHODS: A rotation device carrying MH or SJM valves was implanted in 4 pigs. The device allowed valve rotation without reopening the aorta. In different orientations, turbulent shear stresses (RNS values) and HITS were measured. RESULTS: RNS and HITS changed for both valve designs in various orientations, with superior results for the MH in the hemodynamically best orientation. Downstream turbulence (RNS) and HITS varied into the same direction, but a one-to-one correlation was not observed. CONCLUSIONS: RNS and HITS vary with respect to valve orientation and design with superior results for the tilting disc valve. Both MH and SJM valves showed lower turbulence and HITS counts in their hemodynamically best orientations. HITS were related to downstream turbulence and the hemodynamic performance of the mechanical aortic valves.

Animals↗

Study on the intermolecular interaction of C60 and simulations on the orientational properties of C60 in crystals.

We developed the new intermolecular interaction model of C(60) with the quantitative accuracy for the molecular orientational properties in crystals. The energy difference (DeltaE) and the activation barrier (E(barrier)) between the two stable orientations (P and H orientations) in crystals are in the values of +14.7 and +260 meV in our model, respectively; these values are in fairly good agreement with the experimental values (DeltaE approximately +11 meV, E(barrier)=+235-+290 meV in experiments). The relaxation calculation for C(60) crystals using our model revealed that there is the reversal of the stable orientations between the P and H orientations under the high H-orientation occupancy (p(H)) in crystals, when p(H)>0.83, DeltaE<0. From the molecular dynamics calculations for C(60) crystals using our model, it is found that the phase transition is induced at T(C)=200-260 K, which is consistent with the experimental value of 260 K. Immediately below T(C), we found a great variety of molecular rotational jumps involving that between the P and H orientations every about 10(-9) s due to the thermal activation. In the high temperature phase (>T(C)), all molecules rotate irregularly like in Brownian motion involving the rotational "slumber" for approximately 10(-12)-10(-11) s.

Journal Article↗