An electron spin resonance study of interactions between gramicidin A'' and phosphatidylcholine bilayers.

The model of microscopic order and macroscopic disorder was used to stimulate electron spin resonance spectra of spin-labeled lipids, 5-PC, 10-PC, and 16-PC in multilamellar vesicles of dipalmitoylphosphatidylcholine (DPPC) containing gramicidin A' (GA) at temperatures above the gel-to-liquid crystal transition of DPPC. The simulations show that at a lower concentration of GA (i.e., molar ratios of DPPC/GA greater than 3), GA has only a slight effect on the acyl chain dynamics. The rotational diffusion rate around the axis parallel to the long hydrocarbon chain remains unchanged or increases slightly, while the rate around the perpendicular axes decreases slightly. These spectra from DPPC/GA mixtures could only be fit successfully with two or more components consistent with the well-known concept of "boundary lipids," that is, the peptide induces structural inhomogeneity in lipid bilayers. However, the spectra were significantly better fit with additional components that exhibit increased local ordering, implying decreased amplitude of rotational motion, rather than immobilized components with sharply a reduced rotational rate. The largest relative effects occur at the end of the acyl chains, where the average local order parameter St of 16-PC increases from 0.06 for pure lipid to 0.66 for 1:1 DPPC/GA. The inhomogeneity in ordering in DPPC bilayers due to GA decreases with increasing temperature. The hyperfine tensor component Azz increases for 10-PC and 16-PC when GA is incorporated into DPPC bilayers, indicating that water has deeply penetrated into the DPPC bilayers. Simulations of published electron spin resonance spectra of 14-PC in dimyristoylphosphatidylcholine/cytochrome oxidase complexes were also better fit by additional components that were more ordered, rather than immobilized. The average local order parameter in this case is found to increase from 0.11 for pure dimyristoylphosphatidylcholine to 0.61 for a lipid/protein ratio of 50. These spectra and their simulations are similar to the results obtained with 16-PC in the DPPC/GA mixtures. The relevance to studies of lipid-protein interactions for other proteins is briefly discussed.     

Saturation transfer electron paramagnetic resonance spectroscopy of spin labeled tobacco mosaic virus protein.

The coat protein of Tobacco Mosaic Virus is covalently labeled with a maleimide spin label at the single SH-group of the protein. Saturation transfer electron paramagnetic resonance spectroscopy, a technique that is sensitive to very slow molecular motion with rotational correlation times τ_c in the range 10^?7 to 10^?3 sec, shows the dissociation of large oligomers of spin labeled protein with τ_c～10^?4 sec at pH 5.5 to smaller oligomers at higher pH.     

Exchange rates at the lipid-protein interface of the myelin proteolipid protein determined by saturation transfer electron spin resonance and continuous wave saturation studies.

The microwave saturation properties of various spin-labeled lipids in reconstituted complexes of the myelin proteolipid protein with dimyristoyl phosphatidylcholine have been studied both by conventional and saturation transfer electron spin resonance (ESR) spectroscopy. In the fluid phase, the conventional ESR spectra consist of a fluid and a motionally restricted (i.e., protein-associated) component, whose relative proportions can be determined by spectral subtractions and depend on the selectivity of the particular spin-labeled lipid for the protein. At 4 degrees C when the bulk lipid is in the gel phase, the integrated intensity of the saturation transfer ESR spectra displays a linear dependence on the fraction of motionally restricted lipid that is deduced from the conventional ESR spectra in the fluid phase, indicating the presence of distinct populations of free and protein-interacting lipid with no exchange between them on the saturation transfer ESR time scale in the gel phase. At 30 degrees C when the bulk lipid is in the fluid phase, the saturation transfer integral displays a nonlinear dependence on the fraction of motionally restricted lipid, consistent with exchange between the two lipid populations on the saturation transfer ESR time scale in the fluid phase. For lipid spin labels with different selectivities for the protein in complexes of fixed lipid/protein ratio, the data in the fluid phase are consistent with a constant (diffusion-controlled) on-rate for exchange at the lipid-protein interface. Values ranging between 1 and 9 x 10(6) s-1 are estimated for the intrinsic off-rates for exchange of spin-labeled stearic acid and phosphatidylcholine, respectively, at 30 degrees C. Conventional continuous wave saturation experiments lead to similar conclusions regarding the lipid exchange rates in the fluid and gel phases of the lipid/protein recombinants. The ESR saturation studies therefore demonstrate exchange on the time scale of the nitroxide spin-lattice relaxation at the lipid-protein interface of myelin proteolipid/dimyristoyl phosphatidylcholine complexes in the fluid phase but not in the gel phase.     

Membrane location of apocytochrome c and cytochrome c determined from lipid-protein spin exchange interactions by continuous wave saturation electron spin resonance.

Apocytochrome c derived from horse heart cytochrome c was spin-labeled on the cysteine residue at position 14 or 17 in the N-terminal region of the primary sequence, and cytochrome c from yeast was spin-labeled on the single cysteine residue at sequence position 102 in the C-terminal region. The spin-labeled apocytochrome c and cytochrome c were bound to fluid bilayers composed of different negatively charged phospholipids that also contained phospholipid probes that were spin-labeled either in the headgroup or at different positions in the sn-2 acyl chain. The location of the spin-labeled cysteine residues on the lipid-bound proteins was determined relative to the spin-label positions in the different spin-labeled phospholipids by the influence of spin-spin interactions on the microwave saturation properties of the spin-label electron spin resonance spectra. The enhanced spin relaxation observed in the doubly labeled systems arises from Heisenberg spin exchange, which is determined by the accessibility of the spin-label group on the protein to that on the lipid. It is found that the labeled cysteine groups in horse heart apocytochrome c are located closest to the 14-C atom of the lipid acyl chain when the protein is bound to dimyristoyl- or dioleoyl-phosphatidylglycerol, and to that of the 5-C atom when the protein is bound to a dimyristoylphosphatidylglycerol/dimyristoylphosphatidylcholine (15:85 mol/mol mixture. On binding to dioleoylphosphatidylglycerol, the labeled cysteine residue in yeast cytochrome c is located closest to the phospholipid headgroups but possibly between the polar group region and the 5-C atom of the acyl chains. These data determine the extent to which the different regions of the proteins are able to penetrate negatively charged phospholipid bilayers.     

Kinetics and dynamics of annealing during sub-gel phase formation in phospholipid bilayers: A saturation transfer electron spin resonance study

The saturation transfer electron spin resonance (STESR) spectra of spin-labeled phosphatidylcholine have been used to follow the kinetics of conversion from the gel phase to the sub-gel phase in aqueous bilayers of dipalmitoyl phosphatidylcholine. This is a simple, well-defined model system for lipid domain formation in membranes. The integrated intensity of the STESR spectrum from the chain-labeled lipid first increases and then decreases with time of incubation in the gel phase at 0°C. The first, more rapid phase of the kinetics is attributed to the conversion of germ nuclei to growth nuclei of the sub-gel phase. The increase in STESR intensity corresponds to the reduction in chain mobility of spin labels located in the gel phase at the boundaries of the growth nuclei and correlates with the increase in the diagnostic STESR line height ratios over this time range. The second, slower phase of the kinetics is attributed to growth of the domains of the sub-gel phase. The decrease in STESR intensity over this time regime corresponds to exclusion of the spin-labeled lipids from the tightly packed sub-gel phase and correlates quantitatively with calibrations of the spin label concentration dependence of the STESR intensity in the gel phase. The kinetics of formation of the sub-gel phase are consistent with the classical model for domain formation and growth. At 0°C, the half-time for conversion of germ nuclei to growth nuclei is ∼7.7 h and domain growth of the sub-gel phase is characterized by a rate constant of 0.025 h^-1. The temperature dependence of the STESR spectra from samples annealed at 0°C suggests that the subtransition takes place via dissolution of sub-gel phase domains, possibly accompanied by domain fission.     

35-GHz (Q-band) saturation transfer electron paramagnetic resonance studies of rotational diffusion

The extension of saturation transfer electron paramagnetic resonance spectroscopy (ST-EPR) to an observational frequency of 35 GHz (Q band) is described. At this frequency the spectral resolution is greatly enhanced over that afforded at the 9.5-GHz (X-band) frequency used in most of the ST-EPR studies published to date. Thus, Q-band operation may provide an approach for the detailed analysis of the slow anisotropic motions believed to occur in many biomolecular systems. The spectral characteristics and the effects of various instrumental settings are described in detail for a model system of spin-labeled hemoglobin in water-glycerol solutions. Several spectral parameters are defined, and their potential use in monitoring various types of anisotropic motion is considered.     

Measurement of rotational molecular motion by time-resolved saturation transfer electron paramagnetic resonance.

We have used saturation-recovery electron paramagnetic resonance (SR-EPR), a time-resolved saturation transfer EPR technique, to measure directly the microsecond rotational diffusion of spin-labeled proteins. SR-EPR uses an intense microwave pulse to saturate a spin population having narrow distribution of orientations with respect to the magnetic field. The time evolution of the signal is then observed. The signal increases in time as saturation is relieved by spin-lattice relaxation (Tl) as well as by saturation transfer due to spectral diffusion (Tsd), which is a function of rotational diffusion (Tr) and spectral position. In the presence of both events, the recovery is biphasic, with the initial phase related to both Tr and Tl, and the second phase determined only by Tl. We have measured the saturation recoveries of spin-labeled hemoglobin tumbling in media of known viscosities as a function of rotational correlation time (Tr) and pulse duration (tp). The Tr values estimated from the initial phase of recovery were in good agreement with theory. Variation of the pulse time can also be used to determine Tr. For tp less than Tsd, the recoveries were observed to be biphasic, for tp greater than Tsd a single-exponential. T1 values were determined from the recoveries after pulses quenching spectral diffusion or from the second phase of recovery after shorter pulses. These results demonstrate that SR-EPR is applicable to the study of motion of spin-labeled proteins. Its time resolution should provide a significant advantage over steady state techniques, particularly in the case of motional anisotropy or system heterogeneity.     

Saturation transfer electron parametric resonance of an indane-dione spin-label. Calibration with hemoglobin and application to myosin rotational dynamics.

We have used a recently synthesized indane-dione spin label (2-[-oxyl-2,2,5,5-tetramethyl-3-pyrrolin-3-yl)methenyl]in dane-1,3-dione (InVSL) to study the rotational dynamics of myosin, with saturation-transfer electron paramagnetic resonance (ST-EPR). To determine effective rotational correlation times (tau effr) from InVSL spectra, reference spectra corresponding to known correlation times (tau r) were obtained from InVSL-hemoglobin undergoing isotropic rotational motion in aqueous glycerol solutions. These spectra were used to generate plots of spectral parameters vs. tau r. These plots should be used to analyze ST-EPR spectra of InVSL bound to other proteins, because the spectra are different from those of tempo-maleimide-spin-labeled hemoglobin, which have been used previously as ST-EPR standards. InVSL was covalently attached to the head (subfragment-1; S1) of myosin. EPR spectra and K/EDTA-ATPase activity showed that 70-95% of the heads were labeled, with > or = 90% of the label bound to either cys 707 (SH1) or cys 697 (SH2). ST-EPR spectra of InVSL-S1 attached to glass beads, bound to actin in myofibrils, or precipitated with ammonium sulfate indicated no submillisecond rotational motion. Therefore, InVSL is rigidly immobilized on the protein so that it reports the global rotation of the myosin head. The ST-EPR spectra of InVSL-myosin monomers and filaments indicated tau effr values of 4 and 13 microseconds, respectively, showing that myosin heads undergo microsecond segmental rotations that are more restricted in filaments than in monomers. The observed tau effr values are longer than those previously obtained with other spin labels bound to myosin heads, probably because InVSL binds more rigidly to the protein and/or with a different orientation. Further EPR studies of InVSL-myosin in solution and in muscle fibers should prove complementary to previous work with other labels.     

Conformation of spin-labeled melittin at membrane surfaces investigated by pulse saturation recovery and continuous wave power saturation electron paramagnetic resonance.

Melittin spin-labeled specifically with a nitroxide at positions 7, 21, 23, or the amino terminus was bound to phospholipid membranes, and the exposure of the spin label to the aqueous phase was investigated by measurement of Heisenberg exchange with chromium oxalate in the solution. The exchange frequency was determined by saturation recovery electron paramagnetic resonance (EPR) using a loop-gap resonator. This method allows use of very low concentrations (less than 1 mM) of chromium oxalate compared with conventional measurements of EPR line broadening (typically 50 mM), thus avoiding problems associated with high metal ion concentration. Differences in exchange frequency between the various positions were also estimated by continuous wave power saturation methods. In either approach, the spin label at lysine 7 was found to be the most exposed to chromium oxalate whereas that at lysine 23 was found to be the least exposed. This is consistent with a model for the membrane bound peptide in which an amphiphilic helix lies with its axis parallel to the bilayer surface and the hydrophobic moment points toward the bilayer interior.     

Distance measurements using paramagnetic ion-induced relaxation in the saturation transfer electron spin resonance of spin-labeled biomolecules: Application to phospholipid bilayers and interdigitated gel phases

The saturation transfer electron spin resonance (STESR) spectra of spin-labeled phosphatidylcholines in gel phase lipid bilayers are shown to be sensitive to dipolar spin-spin interactions with paramagnetic ions in the aqueous phase. The reciprocal integrated intensity of the STESR spectrum is linearly dependent on aqueous Ni²⁺ ion concentration, hence, confirming the expectation that the STESR intensity is directly proportional to the spin-lattice relaxation time of the spin label. The gradient of the relaxation rate with respect to Ni²⁺ ion concentration decreases strongly with the position of the nitroxide group down the sn-2 chain of the spin-labeled lipid and is consistent with a 1/R³ dependence on the distance, R, from the bilayer surface. The values derived for the dimensions of the bilayer and lipid molecules in the case of dipalmitoyl phosphatidylcholine (DPPC) are in good agreement with those available from x-ray diffraction studies. Allowance for the multibilayer nature of the DPPC dispersions gives an estimate of the water layer thickness that is also consistent with results from x-ray diffraction. The profile of the paramagnetic ion-induced relaxation is drastically changed with DPPC dispersions in glycerol for which the lipid chains are known to be interdigitated in the gel phase. The terminal methyl groups of the lipid chains are located approximately in register with the C-3 atoms of the sn-2 chain of the oppositely oriented lipid molecules in the interdigitated phase. The thickness of the lipid layer and the effective thickness of the lipid polar group are reduced by ~40% in the interdigitated phase as compared with the bilayer phase. The calibrations of the distance dependence established by use of spin labels at defined chain positions should be applicable to STESR measurements on other biological systems.     

Saturation transfer electron spin resonance study on the rotational diffusion of calcium- and magnesium-dependent adenosine triphosphatase in sarcoplasmic reticulum membranes.

The technique of saturation transfer electron spin resonance has been applied to study the rotational diffusion of spin-labeled Ca2+, Mg2+-dependent ATPase molecules in the membranes of sarcoplasmic reticulum vesicles. Comparison of the present data with those for spin-labeled hemoglobin undergoing isotropic rotation leads to a value of 2 X 10(-4) s for the apparent rotational correlation time at 20 degrees C for the membrane-bound protein. Consideration of the anisotropy of the Brownian rotation of the membrane-bound ATPase suggests that the true correlation time for the expected axial rotation may be somewhat smaller than the apparent value. An Arrhenius plot of the rotational motion shows a break, which is interpreted as indicating the occurrence of a conformational change of the ATPase molecule at about 15 degrees C.     

An electron spin resonance study of interactions between phosphatidylcholine and phosphatidylserine in oriented membranes.

A detailed electron spin resonance (ESR) study of mixtures of 1-palmitoyl-2-oleoyl-phosphatidylcholine (POPC) and phosphatidylserine (POPS) in oriented multilayers in the liquid crystalline phase is reported with the purpose of characterizing the effects of headgroup mixing on the structural and dynamical properties of the acyl chains. These studies were performed over a range of blends of POPC and POPS and temperatures, utilizing the spin-labeled lipids 16-phosphatidylcholine and 5-phosphatidylcholine as well as cholestane (CSL). The ESR spectra were analyzed by nonlinear least-squares fitting using detailed spectral simulations. Whereas CSL shows almost no variation in ordering and rotational dynamics versus mole fraction POPS, (i.e. XPS), and 5-PC shows small effects, the weakly ordered end-chain labeled 16-PC shows large relative effects, such that the orientational order parameter, S is at a minimum for XPS = 0.5 where it is about one-third the value observed for XPS = 0 and 1. This is directly reflected in the ESR spectrum as a substantial variation in the hyperfine splitting with XPS. The least-squares analysis also shows a reduction in rotational diffusion coefficient, R perpendicular by a fractor of 2 for XPS = 0.5 and permits the estimation of S2, the ordering parameter representing deviations from cylindrically symmetric alignment. These results are contrasted with 2H NMR studies which were insensitive to effects of mixing headgroups on the acyl chains. The ESR results are consistent with a somewhat increased disorder in the end-chain region as well as a small amount of chain tilting upon mixing POPC and POPS.(ABSTRACT TRUNCATED AT 250 WORDS)     

Applications of new saturation transfer electron paramagnetic resonance methodology to the rotational dynamics of the Ca-ATPase in sarcoplasmic reticulum membranes.

The presence of small amounts of weakly immobilized probes can result in large systematic errors in the measurement of correlation times (tau r) from saturation transfer EPR spectra. However, we have recently developed experimental methodology to minimize these errors (Squier and Thomas, Biophys. J., 49:921-935). In the present study we have applied this methodology to the measurement of the rotational motion of the Ca-ATPase in sarcoplasmic reticulum. This analysis involves the estimate of tau r from line-shape parameters (spectral line-height ratios) and intensity parameters (spectral integral), coupled with digital subtractions to remove spectral components corresponding to weakly immobilized probes. We have analyzed the ST-EPR spectra of the Ca-ATPase over a range of temperatures and find that, unlike line-shape parameters, intensity parameters are little affected by the subtraction of the weakly immobilized spectral component (W). Thus, tau r values from intensity parameters are a more reliable measurement of rotational motion. As reported previously, an analysis with line-shape parameters yields a nonlinear Arrhenius plot of protein mobility. However, the plot is linear when intensity parameters or corrected spectra are used, consistent with the theory for the hydrodynamic properties of a membrane protein of unchanging size and shape in a fluid bilayer. An analysis with line-shape parameters yields different effective tau r values in different spectral regions, and these tau r values are temperature-dependent. However, correction of spectra for W yields temperature-independent tau r ratios, indicating that the motional anisotropy is temperature-independent.(ABSTRACT TRUNCATED AT 250 WORDS)     

Vinyl ketone reagents for covalent protein modification. Nitroxide derivatives suited to rotational diffusion studies by saturation transfer electron spin resonance, using membrane-bound Na,K-ATPase as an example

The reactivity of a series of substituted vinyl ketone nitroxides with an integral membrane protein, the Na,K-ATPase, is described. Increasing the electrophilicity of the conjugated double bond enhances reactivity markedly, with some spin labels showing higher reactivity than the conventionally used maleimide derivatives. The spectroscopic characteristics of the spin-labeled protein are also better suited for motional analysis by the saturation transfer electron spin resonance (STESR) method than with previous labeling procedures. The rotational correlation time, deduced from STESR experiments, is in the same range (100-300 microseconds) irrespective of the vinyl ketone derivative used, and the rotational mobility corresponds to an (alpha beta)2 or higher oligomer of the membrane-bound Na,K-ATPase.     

Simulation of saturation transfer electron paramagnetic resonance spectra for rotational motion with restricted angular amplitude.

We have simulated both conventional (V1) and saturation transfer (V'2) electron paramagnetic resonance spectra for the case of Brownian rotational diffusion restricted in angular amplitude. Numerical solutions of the diffusion-coupled Bloch equations were obtained for an axially symmetric 14N nitroxide spin label with its principal axis rotating within a Gaussian angular distribution of full width delta theta at half maximum. Spectra were first calculated for a macroscopically oriented system with cylindrical symmetry (e.g., a bundle of muscle fibers or a stack of membrane bilayers), with the Gaussian angular distribution centered at theta 0 with respect to the magnetic field. These spectra were then summed over theta 0 to obtain the spectrum of a randomly oriented sample (e.g., a dispersion of myofibrils or membrane vesicles). The angular amplitude delta theta was varied from 0 degrees, corresponding to isotropic motion (order parameter = 0). For each value of delta theta, the rotational correlation time, tau r, was varied from 10(-7) to 10(-2) s, spanning the range from maximal to minimal saturation transfer. We provide plots that illustrate the dependence of spectral parameters on delta theta and tau r. For an oriented system, the effects of changing delta theta and tau r are easily distinguishable, and both parameters can be determined unambiguously by comparing simulated and experimental spectra. For a macroscopically disordered system, the simulated spectra are still quite sensitive to delta theta, but a decrease in tau r produces changes similar to those from an increase in delta theta. If delta theta can be determined independently, then the results of the present study can be used to determine tau r from experimental spectra. Similarly, if tau r is known, then delta theta can be determined.     

Investigation of phospholipids of the pulmonary extracellular lining by electron paramagnetic resonance. The effects of phosphatidylglycerol and unsaturated phosphatidylcholines on the fluidity of dipalmitoyl phosphatidylcholine.

The membranous structures of the pulmonary extracellular lining were removed from the lungs of rabbits by pulmonary lavage and isolated by differential centrifugation. This membranous fraction contained 93% of the total extracellular phospholipids present in lavage effluents and consisted of membranous vesicles, membrane fragments, tubular myelin and secreted lamellar bodies. The fraction was rich in phosphatidylcholine (79.4%) containing 85.2% palmitic acid in the 1-position and 57.4% palmitic acid in the 2-position. Phosphatidylglycerol was the next most abundant phospholipid, accounting for 9.4% of the total. E.p.r. spectra, obtained by using 5-doxylmethylstearate as a probe, showed that the extracellular phospholipids of the pulmonary lining were organized into structures which were much more fluid than erythrocyte-ghost membranes. The fluidity of phosphatidylcholine isolated from the membranous fraction was similar to that of the fraction itself, indicating that the minor phospholipids had very little influence on the fluidity of the major phospholipid. At physiological temperature, the fluidity of dipalmitoyl phosphatidylcholine was relatively low, but could be markedly increased by the presence of 1-palmitoyl-2-oleoyl phosphatidylcholine or phosphatidylglycerol (10%). Protein present in the extracellular phospholipid fraction did not affect the fluidity of the fraction. These studies indicate that the unsaturated phosphatidylcholines could play a major role in determining the fluidity of the important surface-tension-lowering phospholipids such as dipalmitoyl phosphatidylcholine.     

Microsecond rotational motion of spin-labeled myosin heads during isometric muscle contraction. Saturation transfer electron paramagnetic resonance.

We have used saturation transfer electron paramagnetic resonance (ST-EPR) to detect the microsecond rotational motions of spin-labeled myosin heads in bundles of skinned muscle fibers, under conditions of rigor, relaxation, and isometric contraction. Experiments were performed on fiber bundles perfused continuously with an ATP-regenerating system. Conditions were identical to those we have used in previous studies of myosin head orientation, except that the fibers were perpendicular to the magnetic field, making the spectra primarily sensitive to rotational motion rather than to the orientational distribution. In rigor, the high intensity of the ST-EPR signal indicates the absence of microsecond rotational motion, showing that heads are all rigidly bound to actin. However, in both relaxation and contraction, considerable microsecond rotational motion is observed, implying that the previously reported orientational disorder under these conditions is dynamic, not static, on the microsecond time scale. The behavior in relaxation is essentially the same as that observed when myosin heads are detached from actin in the absence of ATP (Barnett and Thomas, 1984), corresponding to an effective rotational correlation time of approximately 10 microseconds. Slightly less mobility is observed during contraction. One possible interpretation is that in contraction all heads have the same mobility, corresponding to a correlation time of approximately 25 microseconds. Alternatively, more than one motional population may be present. For example, assuming that the spectrum in contraction is a linear combination of those in relaxation (mobile) and rigor (immobile), we obtained a good fit with a mole fraction of 78-88% of the heads in the mobile state.(ABSTRACT TRUNCATED AT 250 WORDS)     

Using nitroxide spin labels. How to obtain T1e from continuous wave electron paramagnetic resonance spectra at all rotational rates.

Historically, the continuous wave electron paramagnetic resonance (CW-EPR) progressive saturation method has been used to obtain information on the spin-lattice relaxation time (T1e) and those processes, such as motion and spin exchange, that occur on a competitive timescale. For example, qualitative information on local dynamics and solvent accessibility of proteins and nucleic acids has been obtained by this method. However, making quantitative estimates of T1e from CW-EPR spectra have been frustrated by a lack of understanding of the role of T1e (and T2e) in the slow-motion regime. Theoretical simulation of the CW-EPR lineshapes in the slow-motion region under increasing power levels has been used in this work to test whether the saturation technique can produce quantitative estimates of the spin-lattice relaxation rates. A method is presented by which the correct T1e may be extracted from an analysis of the power-saturation rollover curve, regardless of the amount of inhomogeneous broadening or the rates of molecular reorientation. The range of motional correlation times from 10 to 200 ns should be optimal for extracting quantitative estimates of T1e values in spin-labeled biomolecules. The progressive-saturation rollover curve method should find wide application in those areas of biophysics where information on molecular interactions and solvent exposure as well as molecular reorientation rates are desired.