Dipartimento di Fisica and Unità Instituto Nazionale per la Fisica della Materia, Università della Calabria, Arcavacata di Rende (CS), Italy.
Two-pulse, echo-detected (ED) electron paramagnetic resonance (EPR) spectroscopy was used to study the librational motions of spin-labeled lipids in membranes of dipalmitoylphosphatidylcholine + 50 mol % cholesterol. The temperature dependence, over the range 77-240 K, and the dependence on position of spin-labeling in the sn-2 chain (n=5, 7, 10, 12, and 14) of the phospholipid, were characterized in detail. The experimental ED-spectra were corrected for instantaneous spin diffusion arising from static spin-spin interactions, by using spectra recorded at 77 K, where motional contributions are negligible. Simulations according to a model of rapid, small-amplitude librations about an axis whose direction is randomly distributed are able to describe the experimental spectra. Calibrations, in terms of the amplitude-correlation time product, alpha2tauc, were constructed for diagnostic spectral line-height ratios at different echo delay times, and for relaxation spectra obtained from the ratio of ED-spectra recorded at two different echo delays. The librational amplitude, alpha2, was determined for a spin label at the 14-C position of the lipid chain from the partially motionally averaged hyperfine splitting in the conventional EPR spectra. The librational correlation time, tauc, which is deduced from combination of the conventional and ED-EPR results, lies in the subnanosecond regime and depends only weakly on temperature. The temperature dependence of the ED-EPR spectra arises mainly from an increase in librational amplitude with increasing temperature, and position down the lipid chain. A gradual transition takes place at higher temperatures, from a situation in which segmental torsional librations are cumulative, i.e., the contributions of the individual segments add up progressively upon going down the chain, to one of concerted motion only weakly dependent on chain position. Such librational motions are important for glass-like states and are generally relevant to high lipid packing densities, e.g., in cholesterol-containing raft domains and condensed complexes.
Mesh-terms: 1,2-Dipalmitoylphosphatidylcholine :: chemistry; Cholesterol :: chemistry; Electron Spin Resonance Spectroscopy :: methods; Lipid Bilayers :: chemistry; Membrane Fluidity; Molecular Conformation; Motion; Phase Transition; Research Support, Non-U.S. Gov't; Spin Labels; Temperature; Vibration;
Other papers by authors:
Dipartimento di Fisica, Università della Calabria, I-87036 Arcavacata di Rende (CS), Italy.
Recently, developments in time-resolved spin-label electron spin resonance (ESR) spectroscopy have contributed considerably to the study of biomembranes. Two different applications of electron spin echo spectroscopy of spin-labelled phospholipids are reviewed here:(1) the use of partially relaxed echo-detected ESR spectra to study the librational lipid-chain motions in the low-temperature phases of phospholipid bilayers;(2) the use of electron spin echo envelope modulation spectroscopy to determine the penetration of water into phospholipid membranes. Results are described for phosphatidylcholine bilayer membranes, with and without equimolar cholesterol, that are obtained with phosphatidylcholine spin probes site-specifically labelled throughout the sn-2 chain.
Membranous Na,K-ATPase from shark salt gland and from pig kidney was spin-labelled on Class I -SH groups in the presence of glycerol, or on Class II -SH groups in the absence of glycerol. The Class I-labelled preparations retain full enzymatic activity, whereas the Class II-labelled preparations are at least partially inactivated. This provides an excellent testbed on which to demonstrate how advanced electron paramagnetic resonance (EPR) can provide novel information on specific residues in unique environments in a complex, membrane-bound transport system. The polarity of the environment, and the librational dynamics and conformational exchange, of the spin-labelled groups were studied with pulsed EPR by using electron spin echo envelope modulation (ESEEM) spectroscopy and spin-echo detected (ED) EPR spectroscopy, respectively. 2H-ESEEM spectra of membranes dispersed in D2O reveal that Class I groups of the shark enzyme are more exposed to water than are those of the pig enzyme or Class II groups of either species, consistent with the more superficial membrane location in the former case. Spin-echo decay curves indicate conformational heterogeneity at low temperatures (< 150 K), but a more homogeneous conformational state at higher temperatures that is characterised by a single phase-memory T2M relaxation time. Conventional EPR lineshapes also demonstrate conformational microheterogeneity at low temperatures: the inhomogeneously broadened lines narrow progressively with increasing temperature reaching an almost pure Lorentzian lineshape at temperatures of ca. 220 K and above. The inhomogeneous broadening at low temperature is well described by a Gaussian distribution of Lorentzian lines. ED-spectra as a function of echo-delay time demonstrate the onset of rapid librational motions of appreciable amplitude, and slower conformational exchange, at temperatures above 220 K. These motions could drive transitions between the different conformational substates, which are frozen in at lower temperatures but contribute to the pathways between the principal enzymatic intermediates at higher temperatures.
Alamethicin F50/5 is a hydrophobic peptide that is devoid of charged residues and which induces voltage-dependent ion channels in lipid membranes. The peptide backbone is likely to be involved in the ion conduction pathway. Electron spin-echo spectroscopy of alamethicin F50/5 analogues in which a selected alpha-aminoisobutyric acid residue (at position n = 1, 8 or 16) is replaced by the TOAC amino-acid spin label was used to study torsional dynamics of the peptide backbone in phosphatidylcholine bilayer membranes. Rapid librational motions of limited angular amplitude were observed at each of the three TOAC sites by recording echo-detected spectra as a function of echo delay time, 2tau. Simulation of the time-resolved spectra, combined with conventional EPR measurements of the librational amplitude, shows that torsional fluctuations of the peptide backbone take place on the subnanosecond to nanosecond timescale, with little temperature dependence. Associated fluctuations in polar fields from the peptide could facilitate ion permeation.
Human serum albumin (HSA) is an abundant plasma protein that transports fatty acids and also binds a wide variety of hydrophobic pharmacores. Echo-detected (ED) EPR spectra and D(2)O-electron spin echo envelope modulation (ESEEM) Fourier-transform spectra of spin-labelled free fatty acids and phospholipids were used jointly to investigate the binding of stearic acid to HSA and the adsorption of the protein on dipalmitoyl phosphatidylcholine (DPPC) membranes. In membranes, torsional librations are detected in the ED-spectra, the intensity of which depends on chain position at low temperature. Water penetration into the membrane is seen in the D(2)O-ESEEM spectra, the intensity of which decreases greatly at the middle of the membrane. Both the chain librational motion and the water penetration are only little affected by adsorption of serum albumin at the DPPC membrane surface. In contrast, both the librational motion and the accessibility of the chains to water are very different in the hydrophobic fatty acid binding sites of HSA from those in membranes. Indeed, the librational motion of bound fatty acids is suppressed at low temperature, and is similar for the different chain positions, at all temperatures. Correspondingly, all segments of the bound chains are accessible to water, to rather similar extents.
J Phys Chem B Condens Matter Mater Surf Interfaces Biophys. 2005 Jun 23;109 (24):12003-12013 16852481 (P,S,G,E,B)
Cited:14
Denis Erilov,
Rosa Bartucci,
Rita Guzzi,
Alexander Shubin,
Alexander Maryasov,
Derek Marsh,
Sergei Dzuba,
Luigi Sportelli
Dipartimento di Fisica and Unità INFM, Università della Calabria, I-87036 Arcavacata di Rende (CS), Italy, Department of Physics, Novosibirsk State University, 630090 Novosibirsk, Russian Federation, Max-Planck-Institut fur Biophysikalische Chemie, Abteilung Spektroskopie, 37077 Göttingen, Germany, and Institute of Chemical Kinetics and Combustion and Boreskov Institute of Catalysis, Russian Academy of Science, 630090 Novosibirsk, Russian Federation.
Electron spin-echo envelope modulation (ESEEM) spectroscopy of phospholipids spin-labeled systematically down the sn-2 chain was used to detect the penetration of water (D(2)O) into bilayer membranes of dipalmitoyl phosphatidylcholine with and without 50 mol % cholesterol. Three-pulse stimulated echoes allow the resolution of two superimposed (2)H-ESEEM spectral components of different widths, for spin labels located in the upper part of the lipid chains. Quantum chemical calculations (DFT) and ESEEM simulations assign the broad spectral component to one or two D(2)O molecules that are directly hydrogen bonded to the N-O group of the spin label. Classical ESEEM simulations establish that the narrow spectral component arises from nonbonded water (D(2)O) molecules that are free in the hydrocarbon chain region of the bilayer membrane. The amplitudes of the broad (2)H-ESEEM spectral component correlate directly with those of the narrow component for spin labels at different positions down the lipid chain, reflecting the local H-bonding equilibria. The D(2)O-ESEEM amplitudes decrease with position down the chain toward the bilayer center, displaying a sigmoidal dependence on position that is characteristic of transmembrane polarity profiles established by other less direct spin-labeling methods. The midpoint of the sigmoidal profile is shifted toward the membrane center for membranes without cholesterol, relative to those with cholesterol, and the D(2)O-ESEEM amplitude in the outer regions of the chain is greater in the presence of cholesterol than in its absence. For both membrane types, the D(2)O amplitude is almost vanishingly small at the bilayer center. The water-penetration profiles reverse correlate with the lipid-chain packing density, as reflected by (1)H-ESEEM intensities from protons of the membrane matrix. An analysis of the H-bonding equilibria provides essential information on the binding of water molecules to H-bond acceptors within the hydrophobic interior of membranes. For membranes containing cholesterol, approximately 40% of the nitroxides in the region adjacent to the lipid headgroups are H bonded to water, of which ca. 15% are doubly H bonded. Corresponding H-bonded populations in membranes without cholesterol are ca. 20%, of which ca. 6% are doubly bonded.
Dipartimento di Fisica, Università della Calabria, I-87036 Arcavacata di Rende (CS), Italy. bartucci@fis.unical.it
Spin-echo decays of spin-labelled phospholipids have been recorded to study the chain dynamics in the low-temperature phases of dipalmitoyl phosphatidylcholine membranes with and without 50 mol% cholesterol. The phase-memory relaxation time, T(2M), depends on the position of spin-labelling in the sn-2 chain, and on the presence of cholesterol. A biphasic temperature dependence of T(2M) is obtained over the range 150-270 K. Echo-detected field-swept absorption EPR spectra were recorded as a function of the echo delay time, tau. The echo-detected EPR lineshapes show a strong dependence on tau, revealing anisotropic phase relaxation arising from torsional chain motions. Cholesterol has a large effect on torsional oscillations about the chain long axis. Small-amplitude chain motions in the low-temperature phases may be important for cryopreservation of membranes.
Dipartimento di Fisica and Unità INFM, Università della Calabria, I-87036 Arcavacata di Rende (CS), Italy. bartucci@fis.unical.it
The association of water (D(2)O) with phospholipid membranes was studied by using pulsed-electron spin resonance techniques. We measured the deuterium electron spin echo modulation of spin-labeled phospholipids by D(2)O in membranes of dipalmitoyl phosphatidylcholine with and without 50 mol% of cholesterol. The Fourier transform of the relaxation-corrected two-pulse echo decay curve reveals peaks, at one and two times the deuterium NMR frequency, that arise from the dipolar hyperfine interaction of the deuterium nucleus with the unpaired electron spin of the nitroxide-labeled lipid. For phosphatidylcholine spin-labeled at different positions down the sn-2 chain, the amplitude of the deuterium signal decreases toward the center of the membrane, and is reduced to zero from the C-12 atom position onward. At chain positions C-5 and C-7 closer to the phospholipid headgroups, the amplitude of the deuterium signal is greater in the presence of cholesterol than in its absence. These results are in good agreement with more indirect measurements of the transmembrane polarity profile that are based on the (14)N-hyperfine splittings in the conventional continuous-wave electron spin resonance spectrum.
Max-Planck-Institut für Biophysikalische Chemie, Abteilung Spektroskopie, Am Fassberg 11, D-37077 Göttingen, Germany. dmarsh@gwdg.de
Membranes grafted with water-soluble polymers resist protein adsorption and adhesion to cellular surfaces. Liposomes with surface-grafted polymers therefore find applications in drug delivery. The physicochemical properties of polymer-grafted lipid membranes are reviewed with mean-field and scaling theories from polymer physics. Topics covered are: mushroom-brush transitions, membrane expansion and elasticity, bilayer-micelle transitions, membrane-membrane interactions and protein-membrane interactions.
Dipartimento di Fisica and Unità INFM, Università della Calabria, Ponte P. Bucci, Cubo 31 C, I-87036, Arcavacata di Rende (CS), Italy.
The chain-melting transition temperature of dipalmitoyl phosphatidylcholine (DPPC) bilayer membranes containing poly(ethylene glycol)-grafted dipalmitoyl phosphatidylethanolamine (PEG-DPPE) was determined by optical turbidity measurements. The dependence on content, Xp, of PEG-DPPE lipid was studied for different polar headgroup sizes, np, of the polymer lipid, throughout the lamellar phase of the mixtures with DPPC. Mean-field theory for the polymer brush regime predicts that the downward shift in transition temperature should vary with polymer size and content as npXp(5/3)(approximately npXp(11/6) for scaling theory). Any shift induced by the charge on PEG-lipids is independent of polymer size. These predictions are reasonably borne out for the longer polymer lipids (PEG molecular masses 750, 2000 and 5000 Da). Transition temperature shifts in the lamellar phase, before the onset of micellisation, are in the region of -1 to -2 degrees C (+/- .1- .2 degrees C) in reasonable accord with theoretical estimates of the lateral pressure exerted by the polymer brush. Shifts of this size are significant to the design of liposomes for controlled release of contents by mild hyperthermia.
Lab. di Biofisica Molecolare, Dipartimento di Fisica and Unità INFM, Università della Calabria, Ponte P. Bucci, Cubo 31 C, I-87036 Arcavacata di Rende (CS), Italy.
The adsorption of human serum albumin (HSA) to dipalmitoyl phosphatidylcholine (DPPC) bilayer membranes containing poly(ethylene glycol)-grafted dipalmitoyl phosphatidylethanolamine (PEG-DPPE) was studied as a function of content and headgroup size of the polymer lipid. In the absence of protein, conversion from the low-density mushroom regime to the high-density brush regime of polymer-lipid content is detected by the change in ESR outer hyperfine splitting, 2A(max), of chain spin-labelled phosphatidylcholine in gel-phase membranes. The values of 2A(max) remain constant in the mushroom regime, but decrease on entering the brush regime. Conversion between the two regimes occurs at mole fractions X(PEG)(m-->b) approximately .04, .01- .02 and .005- .01 for PEG-DPPE with mean PEG molecular masses of 350, 2000 and 5000 Da, respectively, as expected theoretically. Adsorption of HSA to DPPC membranes is detected as a decrease of the spin label 2A(max) hyperfine splitting in the gel phase. Saturation is obtained at a protein/lipid ratio of ca. 1:1 w/w. In the presence of polymer-grafted lipids, HSA adsorbs to DPPC membranes only in the mushroom regime, irrespective of polymer length. In the brush regime, the spin-label values of 2A(max) are unchanged in the presence of protein. Even in the mushroom regime, protein adsorption progressively becomes strongly attenuated as a result of the steric stabilization exerted by the polymer lipid. These results are in agreement with theoretical estimates of the lateral pressure exerted by the grafted polymer in the brush and mushroom regimes, respectively.
Latest similar papers:
School of Computing, Engineering and Physical Sciences, University of Central Lancashire, Preston PR1 2HE, UK.
FMR measurements on barium ferrite nanoparticles (with an average length of about 13 nm) dispersed within a block copolymer (styrene-butadiene-styrene) are reported. Resonance spectra have been successfully simulated by a convolution of a Dysonian line and a Lorentzian line. The temperature dependence of FMR spectra in the so called in-the-plane and out-of the-plane configurations is reported. The angular dependence of FMR spectra at room temperature is analyzed in detail and simulated within simple thermodynamic model that takes into account the competition between shape and magnetocrystalline anisotropies. FMR data revealed that the local magnetic field acting on uncoupled electronic spin is dominated by the magnetocrystalline contribution, which eventually includes surface effects. The strong connection between FMR spectra and hysteresis loop is demonstrated.
Department of Theoretical and Computational Molecular Science, Institute for Molecular Science, Myodaiji, Okazaki, Aichi 444-8585, JapanDepartment of Chemistry, Graduate School of Science, Kyoto University, Kyoto 606-8502, JapanThe Graduate University for Advanced Studies, Myodaiji, Okazaki, Aichi 444-8585, Japan.
We theoretically investigate intermolecular motions in liquid water in terms of third-order infrared (IR) spectroscopy. We calculate two-dimensional (2D) IR spectra, pump-probe signals, and three-pulse stimulated photon echo signals from the combination of equilibrium and nonequilibrium molecular dynamics simulations. The 2D IR spectra and the three-pulse photon echo peak shift exhibit that the frequency correlation of the librational motion decays with a time scale of 100 fs. The two-color 2D IR spectra and the pump-probe signals reveal that the energy transfer from the librational motion at 700 cm(-1) to the low frequency motion below 300 cm(-1) occurs with a time scale of 60 fs and the subsequent relaxation to the hot ground state takes place on a 500 fs time scale. The time scale of the anisotropy decay of the librational motion is found to be approximately 115 fs. The energy dissipation processes are investigated in detail by using the nonequilibrium molecular dynamics simulation, in which an electric field pulse is applied. We show that the fast energy transfer from the librational motion to the low frequency motion is mainly due to the librational-librational energy transfer. We also show that the fast anisotropy decay mainly arises from the rapid intermolecular energy transfer.
Institute of Chemical Kinetics and Combustion, Institutskaya 3, Novosibirsk 630090, RussiaNovosibirsk State University, Pirogova 2, Novosibirsk 630090, Russia.
Electron spin echo (ESE) was applied to study transversal spin relaxation of photoexcited triplet state of fullerene C(70) molecules in glassy o-terphenyl and cis-/trans-decalin matrices (glass transition temperatures of 243 and 137 K, respectively). The relaxation rate T(2)(-1) was found to increase sharply above 110 K in o-terphenyl and above 100 K in decalin. It is suggested that this increase arises from interaction of (3)C(70) pseudorotation with fast molecular librations in the matrix. Both these types of motion involve atomic vibrations and are uniaxial in their nature, the known literature data on Raman light scattering and others indicate that molecular librations may be thermally activated in glasses just near 100 K. The increase in T(2)(-1) near 100 K is not observed for photoexcited triplet state of fullerene C(60), for which pseudorotation is not uniaxial. As the fullerene molecule has a size much larger than that for glass solvent molecules, it is likely that molecular librations in the matrix are of collective nature.
Diana Visinescu,
Augustin M Madalan,
Marius Andruh,
Carine Duhayon,
Jean-Pascal Sutter,
Liviu Ungur,
Willem Van den Heuvel,
Liviu F Chibotaru
Coordination and Supramolecular Chemistry Laboratory, Institute of Physical Chemistry "Ilie Murgulescu", Romanian Academy, Splaiul Independentei 202, Bucharest-060021 (Romania).
Peter Fouquet,
Bela Farago,
Ken H Andersen,
Phillip M Bentley,
Gilles Pastrello,
Iain Sutton,
Eric Thaveron,
Fréderic Thomas,
Evgeny Moskvin,
Catherine Pappas
Institut Laue-Langevin, BP 156, F-38042 Grenoble Cedex 9, France.
This paper describes the design and experimental tests of a novel neutron spin analyzer optimized for wide angle spin echo spectrometers. The new design is based on nonremanent magnetic supermirrors, which are magnetized by vertical magnetic fields created by NdFeB high field permanent magnets. The solution presented here gives stable performance at moderate costs in contrast to designs invoking remanent supermirrors. In the experimental part of this paper we demonstrate that the new design performs well in terms of polarization, transmission, and that high quality neutron spin echo spectra can be measured.
Department of Biophysics, Medical College of Wisconsin, Milwaukee, Wisconsin 53226, USA.
The physical properties of membranes derived from the total lipids extracted from the lens cortex and nucleus of a two-year-old cow were investigated using EPR spin labeling methods. Conventional EPR spectra and saturation-recovery curves show that spin labels detect a single homogenous environment in membranes made from cortical lipids. Properties of these membranes are very similar to those reported by us for membranes made of the total lipid extract of six-month-old calf lenses (J. Widomska, M. Raguz, J. Dillon, E. R. Gaillard, W. K. Subczynski, Biochim. Biophys. Acta 1768 (2007) 1454-1465). However, in membranes made from nuclear lipids, two domains were detected by the EPR discrimination by oxygen transport method using the cholesterol analogue spin label and were assigned to the bulk phospholipid-cholesterol domain (PCD) and the immiscible cholesterol crystalline domain (CCD), respectively. Profiles of the order parameter, hydrophobicity, and the oxygen transport parameter are practically identical in the bulk PCD when measured for either the cortical or nuclear lipid membranes. In both membranes, lipids in the bulk PCD are strongly immobilized at all depths. Hydrophobicity and oxygen transport parameter profiles have a rectangular shape with an abrupt change between the C9 and C10 positions, which is approximately where the steroid-ring structure of cholesterol reaches into the membrane. The permeability coefficient for oxygen, estimated at 35 degrees C, across the bulk PCD in both membranes is slightly lower than across the water layer of the same thickness. However, the evaluated upper limit of the permeability coefficient for oxygen across the CCD (34.4 cm/s) is significantly lower than across the water layer of the same thickness (85.9 cm/s), indicating that the CCD can significantly reduce oxygen transport in the lens nucleus.
Graduate School of Pharmaceutical Sciences, Kyushu University, 3-1-1 Maidashi, Higashi-ku, Fukuoka 812-8582, Japan.
We synthesized oligodeoxynucleotide (ODN, 3) containing 2-N-tert-butylaminoxyladenosine (1) and studied EPR spectra of 3 and its duplexes. The h(+)/h( ) values in the EPR spectra of duplexes between 3 and 5-8 well correlated with Tm values. We also synthesized ODN 4 containing 2, which has a cyclic aminoxyl via a linker, to compare with ODN 3. The h(+)/h( ) values in the EPR spectra of duplexes between 4 and 5-8 did not correlate with Tm values. These results indicate that 1 has a potential to monitor of motion of the nucleobase.
Physics Department, University of Osnabrück, Barbarastr. 7, 49076, Osnabrück, Germany.
Site-directed spin labeling in combination with electron paramagnetic resonance spectroscopy has emerged as an efficient tool to elucidate the structure and conformational dynamics of biomolecules under native-like conditions. This article summarizes the basics as well as recent progress of site-directed spin labeling. Continuous wave EPR spectra analyses and pulse EPR techniques are reviewed with special emphasis on applications to the sensory rhodopsin-transducer complex mediating the photophobic response of the halophilic archaeum Natronomonas pharaonis and the photosynthetic reaction center from Rhodobacter sphaeroides R26.
Evgeniy S Salnikov,
Marta De Zotti,
Fernando Formaggio,
Xing Li,
Claudio Toniolo,
Joe D J O'Neil,
Jan Raap,
Sergei A Dzuba,
Burkhard Bechinger
Institute of Chemical Kinetics and Combustion, Russian Academy of Sciences, 630090 Novosibirsk, Russian Federation.
Alamethicin, a hydrophobic peptide that is considered a paradigm for membrane channel formation, was uniformly labeled with 15N, reconstituted into oriented phosphatidylcholine bilayers at concentrations of 1 or 5 mol %, and investigated by solid-state NMR spectroscopy as a function of temperature. Whereas the peptide adopts a transmembrane alignment in POPC bilayers at all temperatures investigated, it switches from a transmembrane to an in-plane orientation in DPPC membranes when passing the phase transition temperature. This behavior can be explained by an increase in membrane hydrophobic thickness and the resulting hydrophobic mismatch condition. Having established the membrane topology of alamethicin at temperatures above and below the phase transition, ESEEM EPR was used to investigate the water accessibility of alamethicin synthetic analogues carrying the electron spin label TOAC residue at one of positions 1, 8, or 16. Whereas in the transmembrane alignment the labels at positions 8 and 16 are screened from the water phase, this is only the case for the latter position when adopting an orientation parallel to the surface. By comparing the EPR and solid-state NMR data of membrane-associated alamethicin it becomes obvious that the TOAC spin labels and the cryo-temperatures required for EPR spectroscopy have less of an effect on the alamethicin-POPC interactions when compared to DPPC. Finally, at P/L ratios of 1/100, spectral line broadening due to spin-spin interactions and thereby peptide oligomerization within the membrane were detected for transmembrane alamethicin.
Institute of Chemical Kinetics and Combustion, Institutskaya 3, 630090 Novosibirsk, Russia.
Pulsed electron-nuclear double resonance applied to 15N nitroxide spin probes in molecular glasses is shown to be very sensitive to measurement of the A(XX) principal value of the hyperfine interaction tensor. For molecules experiencing fast restricted orientational motions (molecular librations), this provides a precise tool to determine the motion-averaged <A(XX)> value. For nitroxides in glycerol and o-terphenyl glasses, the observed <A(XX)> temperature dependence below 40 K may be readily interpreted as arising from quantum effects in librations, when the thermal energy of a librating molecule becomes comparable with the elementary quantum of the oscillator. The estimated elementary quanta for nitroxide librations, approximately 60 cm(-1) in glycerol and approximately 90 cm(-1) in o-terphenyl, are found to match the characteristic frequencies of the vibrational spectral densities seen in low-frequency Raman scattering for these glasses. Above approximately 80 K in glycerol and above approximately 120 K in o-terphenyl, the <A(XX)> temperature dependences manifest a kink with a slightly smaller slope than at lower temperatures.
