Proton NMR spin grouping and exchange in dentin.

The nuclear magnetic resonance spin-grouping technique has been applied to dentin from human donors of different ages. The apparent T2, T1, and T1 rho have been determined for natural dentin, for dentin which has been dried in vacuum, and for dried dentin which has been rehydrated in an atmosphere with 75% relative humidity. All apparent spin relaxation has been analyzed for exchange between the spin groups in which the dentin protons exist; the analyses incorporate the results of selective inversion recovery T1 measurements which better probe the effects of exchange. The exchange analyses of the high fields and rotating frame spin-lattice relaxation have also been correlated to determine uniquely the inherent relaxation parameters of the proton spin groups constituting the dentin magnetization. The natural dentin contains protons on water, protein, and hydroxy apatite; these spins contribute 50%, 45%, and 5% to the total dentin proton magnetization, respectively. The water exists in three distinct environments, the dynamics of each environment has been modeled. In the natural dentin 30% of the water undergoes uni-axial reorientation. 52% of the water has similar relaxation characteristics to bound water hydrating a large molecule, and the majority of the remaining water acts as bulk water undergoing isotropic reorientation. The results are independent of the age of the donor.     

NMR spin grouping and correlation exchange analysis. Application to low hydration NaDNA paracrystals.

The NMR spin-grouping technique is applied to low hydration oriented fibers of NaDNA to study the role of exchange in determining the apparent (observed) spin relaxation of the system. The analysis proceeds in three steps: first, the apparent proton relaxation is measured at high fields, with both selective and nonselective inversion pulse sequences, and in the rotating frame. The spin-grouping technique is used in all spin-lattice relaxation measurements to provide the optimum apparent relaxation characterization of the sample. Next, all apparent results are analyzed for exchange. In this analysis the results from the high field and rotating frame experiments (which probe the exchange at two different time scales) are correlated to determine the inherent (or true) spin relaxation parameters of each of the proton groups in the system. The results of selective inversion T1 measurements are also incorporated into the exchange analysis. Finally, the dynamics of each spin group are inferred from the inherent relaxation characterization. The low hydration NaDNA structure is such that the exchange between the protons on the water and those on the NaDNA is limited, a priori, to dipolar mixing. The results of the exchange analysis indicate that the dipolar mixing between water and NaDNA protons is faster than the spin diffusion within the NaDNA proton group itself. The spin-diffusion on the macromolecule is the bottleneck for the exchange between the water protons and the NaDNA protons. The water protons serve as the relaxation sink both at high fields and in the rotating frame for the total NaDNA-water spin bath. The inherent relaxation of the water is characteristic of water undergoing anisotropic motion with a fast reorientational correlation time about one axis (5 X 10(-10) less than or equal to tau r less than or equal to 8 X 10(-9)S) which is about three orders of magnitude slower than that of water in the bulk; and a slow tumbling correlation time for this axis (1.5 x 10(-7) less than or equal to tau t less than or equal to 8 x 10(-7)S) which is two orders of magnitude slower yet.     

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.     

Nuclear magnetic resonance transverse relaxation in muscle water.

The origin of the nonexponentiality of proton spin echoes of skeletal muscle has been carefully examined. It is shown that the slowly decaying part of the proton spin echoes is not due to extracellular water. First, for muscle from mice with in vivo deuteration, the deuteron spin echoes were also nonexponential, but the slowly decaying part had a larger weighing factor. Second, for glycerinated muscle in which cell membranes were disrupted, the proton spin echoes were similar to those in intact muscle. Third, the nonexponentiality of the proton spin echoes in intact muscle increased when postmortem rigor set in. Finally, when the lifetimes of extracellular water and intracellular water were taken into account in the exchange, it was found that the two types of water would not give two resolvable exponentials with the observed decay constants. It is suggested that the unusually short T2's and the nonexponential character of the spin echoes of proton and deuteron in muscle water are mainly due to hydrogen exchange between water and functional groups in the protein filaments. These groups have large dipolar or quadrupolar splittings, and undergo hydrogen exchange with water at intermediate rates. The exchange processes and their effects on the spin echoes are pH-dependent. The dependence of transverse relaxation of pH was observed in glycerinated rabbit psoas muscle fibers.     

Rotational and translational water diffusion in the hemoglobin hydration shell: dielectric and proton nuclear relaxation measurements.

The dynamic properties of water in the hydration shell of hemoglobin have been studied by means of dielectric permittivity measurements and nuclear magnetic resonance spectroscopy. The temperature behavior of the complex permittivity of hemoglobin solutions has been measured at 3.02, 3.98, 8.59, and 10.80 GHz. At a temperature of 298 K the average rotational correlation time tau of water within a hydration shell of 0.5-nm thickness is determined from the activation parameters to be 68 +/- 10 ps, which is 8-fold the corresponding value of bulk water. Solvent proton magnetic relaxation induced by electron-nuclear dipole interaction between hemoglobin bound nitroxide spin labels and water protons is used to determine the translational diffusion coefficient D(T) of the hydration water. The temperature dependent relaxation behavior for Lamor frequencies between 3 and 90 MHz yields an average value D(298K) = (5 +/- 2) x 10(-10)m2 s-1, which is about one-fifth of the corresponding value of bulk water. The decrease of the water mobility in the hydration shell compared to the bulk is mainly due to an enhanced activation enthalpy.     

25Mg NMR studies of yeast enolase and rabbit muscle pyruvate kinase.

25Mg NMR spectroscopy was used to study the interactions of the activating cations with their respective binding sites in the enzymes yeast enolase and rabbit muscle pyruvate kinase (PK). Titration of Mg2+ with enolase allows for the calculation of 1/T2 for Mg2+ bound at site I of 1510 s-1 and a quadrupolar coupling constant chi = 0.30 MHz. Titration of Mg2+ with enolase in the presence of 2-phosphoglycerate (PGA) and Zn2+, where Zn2+ binds specifically at site I, gives a 1/T2 for Mg2+ bound at site II of 4000 s-1 (chi = 0.49 MHz). The Mg2+ at site II appears to be more anisotropic than Mg2+ at site I. The titration of site I of the enolase-Mg-PGA-Mg complex with Zn2+ or Mn2+ shows a simple displacement of the Mg2+. No paramagnetic effects by Mn2+ on 25Mg relaxation were observed. Temperature studies of the 25Mg resonance show that fast exchange of the Mg2+ occurs under these conditions. From the lack of a paramagnetic effect, the distance between the cations at sites I and II must be more than 6-9 A. This distance limits the location, hence the function, of the cation at site II for catalytic activity. Titration of Mg2+ with PK gives a 1/T2 for bound Mg2+ of 2200 s-1 (chi = 0.24 MHz). A titration of Mg2+ with PK in the presence of the inhibitor oxalate gives a 1/T2 of 400 s-1. The temperature dependence of 25Mg relaxation in the PK-Mg-oxalate complex is consistent with slow exchange (Ea = 6.1 +/- 1.6 kcal/mol). The enzyme-bound cation is more tightly sequestered by the addition of a ligand that binds directly to the cation. An investigation of the 25Mg relaxation in the PK-Mn-oxalate-Mg-ATP complex, where the Mg2+ is bound to the nucleotide and the Mn2+ was enzyme bound, was not successful due to precipitation of PK under experimental conditions and the short T2 relaxation for 25Mg in this complex. The applications of 25Mg NMR have been useful in partially describing the properties of the bound Mg2+ in these two metal-requiring enzymes.     

The state of water in biological systems as studied by proton and deuterium relaxation.

Careful experiments on the measurement of the intensity of the deuterium NMR signal for 2-H2 O in muscle and in its distillate were performed, and they showed that all 2-H2 O muscle is "NMR visible". The spin-lattice relaxation time (T1) of the water protons in the muscle and liver of mice and in egg white has been studied at six frequencies ranging from 4.5 to 6.0 MHz over the temperature range of +37 to --70 degrees C. T1 values of deuterons in 2H2 O of gastrocnemius muscle and liver of mice have been measured at three frequencies (4.5, 9.21 and 15.35 MHz) over the temperature range of +37 to --20 degrees C. Calculations on T1 for both proton and deuteron have been made and compared with the experimental data. It is suggested that the reduction of the T1 values compared to pure water and the frequency dependence of T1 are due to water molecules in the hydration layer of the macromolecules, and that the bulk of water molecules in the biological tissues and egg white undergoes relaxation like ordinary liquid water.     

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.     

Phase memory relaxation times of spin labels in human carbonic anhydrase II: pulsed EPR to determine spin label location.

Phase memory relaxation times (T(M) or T(2)) of spin labels in human carbonic anhydrase II (HCA II) are reported. Spin labels (N-(1-oxyl-2,2,5,5-tetramethyl-3-pyrrolidinyl)iodoacetamide, IPSL) were introduced at cysteines, by site-directed mutagenesis at seven different positions in the protein. By two pulse electron paramagnetic resonance (EPR), electron spin echo decays at 45 K are measured and fitted by stretched exponentials, resulting in relaxation parameters T(M) and x. T(M) values of seven positions are between 1.6 micros for the most buried residue (L79C) and 4.7 micros for a residue at the protein surface (W245C). In deuteriated buffer, longer T(M) are found for all but the most buried residues (L79C and W97C), and electron spin echo envelop modulation (ESEEM) of deuterium nuclei is observed. Different deuterium ESEEM patterns for W95C and W16C (surface residue) indicate differences in the local water concentration, or accessibility, of the spin label by deuterium. We propose T(M) as a parameter to determine the spin label location in proteins. Furthermore, these systems are interesting for studying the pertaining relaxation mechanism.     

Hydration of Escherichia coli lipids. Deuterium T1 relaxation time studies of phosphatidylglycerol, phosphatidylethanolamine and phosphatidylcholine

The hydration properties of Escherichia coli lipids (phosphatidylglycerol, phosphatidylethanolamine) and synthetic 1,2-dioleoyl-sn-glycero-3-phosphocholine in H2O/2H2O mixtures (9:1, v/v) were investigated with 2H-NMR. Comparison of the 2H2O spin lattice relaxation time (T1) as a function of the water content revealed a remarkable quantitative similarity of all three lipid-H2O systems. Two distinct hydration regions could be discerned in the T1 relaxation time profile. (1) A minimum of 11-16 water molecules was needed to form a primary hydration shell, characterized by an average relaxation time of T1 approximately equal to 90 ms. (2) Additional water was found to be in exchange with the primary hydration shell. The exchange process could be described in terms of a two-site exchange model, assuming rapid exchange between bulk water with T1 = 500 ms and hydration water with T1 = 80-120 ms. Analysis of the linewidth and the residual quadrupole splitting (at low water content) confirmed the size of the primary hydration layer. However, each lipid-water system exhibited a somewhat different linewidth behavior, and a detailed molecular interpretation appeared to be preposterous.     

Recombination dynamics in bacterial photosynthetic reaction centers.

The time dependence of magnetic field effects on light absorption by triplet-state and radical ions in quinone-depleted reaction centers of Rhodopseudomonas sphaeroides strain R-26 has been investigated. Measurements on the time scale of the hyperfine interaction in the radical pair [(BChl)2+. ...BPh-.)] provided kinetic data characterizing the recombination process. The results have been interpreted in terms of a recently proposed model that assumes an intermediate electron acceptor (close site) between the bacteriochlorophyll "special pair" (BChl)2 and the bacteriopheophytin BPh (distant site). Recombination is assumed to proceed through this intermediate acceptor. The experiments led to effective recombination rates for the singlet and triplet channel: k(Seff) = 3.9 . 107 s-1 and k(Teff) = 7.4 . 10(8) s-1. These correspond to recombination rates ks = 1 . 10(1) s-1 and kT = 7.1 . 10(11) s-1 in the close configuration. The upper bound of the effective spin dephasing rate k2eff approximately equal to 1 . 10(9) s-1 is identical with the rate of the electron hopping between the distant site of zero spin exchange interaction and the close site of large interaction. Interpretation of data for the case of direct recombination yields the recombination rates, spin dephasing rate, and exchange interaction in a straightforward way.     

The effect of cytochrome P-450cam on the NMR relaxation rate of water protons.

Cytochrome P-450cam in the native, substrate-free state (Fe3+, S = 1/2) substantially reduces the NMR relaxation times, T1 and T2, of water protons. Temperature and frequency dependences of T1 and T2 were measured; they are consistent with a model of one or two protons exchanging between a binding site on a heme ligand and bulk water. The relevant parameters of this model have been deduced from the data. The spin relaxation time of the heme iron, tau S similar to 0.5 ns at 25 degrees C, is unusually long for a low spin ferric heme protein but is compatible with the line widths measured for paramagnetically shifted heme resonances. The proton residence time on the ligand, tau M similar to 1 microsecond at 25 degrees C, follows an Arrhenius law with activation energy EM similar to 15 kcal/mol. A scalar hyperfine interaction A/h = 2.2 MHz (3.1 MHz for one-proton exchange) of the found proton(s) with the heme iron is deduced from the difference between T1 and T2 observed in the fast exchange limit. The iron-proton distance is found to be 2.9 A (2.6 A for one-proton exchange). Variation of pH between pH 6.4 and 8.6 does not affect T1. The bearing of these results on the question of the axial heme ligand is discussed.     

Temperature jump relaxation kinetics of the P-450cam spin equilibrium

The ferric spin-state equilibrium and relaxation rate of cytochrome P-450 has been examined with temperature jump spectroscopy using a number of camphor analogues known to induce different mixed spin states in the substrate-bound complexes [Gould, P., Gelb, M., & Sligar, S. G. (1981) J. Biol. Chem. 256, 6686]. All temperature-induced spectral changes were monophasic, and the spin-state relaxation rate reached a limiting value at high substrate concentrations. The ferric spin equilibrium constant, Kspin, is defined in terms of the rate constants k1 and k-1 via Kspin = k1/k-1 = [P-450(HS)]/[P-450(LS)] where HS and LS represent high-spin (S = 5/2) and low-spin (S = 1/2) ferric iron, respectively, and the spectrally observed spin-state relaxation rate by kobsd = k1 + k-1. A strong correlation between the fraction of high-spin species and the rate constant, k-1, is observed. For a 3 degrees C temperature jump (from 10 to 13 degrees C), the 23% high-spin tetramethylcyclohexanone complex (Kd = 45 +/- 20 microM) is characterized by a ferric spin relaxation rate of kobsd = 1990 s-1, while the rates for the d-fenchone (41% high spin, Kd = 42 +/- 10 microM) and kobsd = 1990 s-1, while the rates for the d-fenchone (41% high spin, Kd = 42 +/- 10 microM) and camphoroquinone (75% high spin, Kd = 15 +/- 5 microM) complexes are 1430 and 346 s-1, respectively.(ABSTRACT TRUNCATED AT 250 WORDS)     

Pulsed nuclear magnetic resonance study of 17-O, 2-D, and 1-H of water in frog striated muscle.

Whole gastrocnemius muscles were incubated in Ringer's solution enriched with H2-17O; the paired contralateral gastrocnemius muscles were incubated in a similar solution enriched with deuterons, as well. Subsequently, the longitudinal relaxation times (T1) were measured 17-O, 2-D, and 1-H, both at 8.1 MHz and at 4.3 MHz. The results indicate that: (a) the absolute values of T1 characterizing the three nuclides are different in muscle and pure water. (b) the longitudinal relaxation rates of all three have an identical frequency dependence over the range studied, (c) the ratio (T1)2D/(T1)17ois the same in muscle water and pure water, while the ratio (T1)1H/(T1)17o is 2.1 times greater in pure water than it is in muscle water, and (d) 30-49 percent substitution of 2-D for 1-H has very little effect on the spin-lattice relaxation of tissue water protons. These data suggest that muscle water is in rapid exchange between a small fraction of immobilized molecules and a large fraction of free water. The results render unlikely the possibility that hypothetical ordering of muscle water significantly contributes to its longitudinal relaxation.     

The spin-lattice relaxation times of water associated with early post mortem changes in skeletal muscle.

We studied the spin-echo signal of muscle water in a large time domain and found that the motion of the nuclear magnetic moment of tissue water cannot be characterized by a single spin-lattice relaxation time (T1). The relaxation time T1B, which is the T1 characterized by those protons with a slower relaxation rate, is influenced by the early post mortem changes in skeletal muscle. T1B increased with time after the tissue was taken from the animal and reached a maximum at 3 h. However, the weighted average of T1 of all water protons (T1A) did not change throughout the time course of the experiments.     

Microwave dielectric properties of tissue. Some comments on the rotational mobility of tissue water.

Dielectric permitivity and conductivity data are reviewed for tissue over the frequency range of 0.1-10 GHz. The conductivity of muscle increases quadratically with frequency above 1 GHz, suggesting a Debye relaxation for tissue water centered at 20 GHz at room temperature, the same as for bulk water. Approximate mixture equations suggest that this "free" water accounts for about 70% of the tissue weight, showing that most of the tissue water has rotational mobilities similar to those in the bulk fluid.     

Proton and deuteron relaxation of muscle water over wide ranges of resonance frequencies.

The spin-lattice relaxation time (T1) of water protons in mouse muscle was studied from 10(4) to 10(8) Hz at several temperatures, and the deuteron T1 of muscle water was studied from 2.0 X 10(3) to 1.54 X 10(7) Hz at several temperatures. Proton T1's of muscle and brain water with different D2O contents were measured at 25 degrees C and 35 MHz. From the results of variable frequency and temperature measurements and the data of isotope substitution, it is concluded that the major relaxation mechanism for the protons in muscle water is the intermolecular dipolar interaction between the protons of the macromolecules and the protons of the water molecules in the hydration layer. It is also suggested that the relaxation of deuterons can be accounted for a very small fraction of water molecules directly hydrogen-bonded to the macromolecules.     

Electron spin resonance and nuclear relaxation studies on spin-labeled glutamate dehydrogenase.

The reaction of glutamate dehydrogenase with two different stable nitroxides (spin labels) is reported. The two compounds contain a carbonyl and an iodoacetamide group as their reactive parts. The carbonyl compound inactivates the enzyme by the formation of a 1:1 covalent complex after NaBH4 reduction of an intermediate Schiff's base. Evidence indicates that the enzyme is modified at lysine-126 in the active site. The electron spin resonance (ESR) spectrum of spin-labeled enzyme indicates a high degree of immobilization of the nitroxide. The binding of reduced coenzyme NADPH is reflected by a change (immobilization) of the ESR spectrum. Nuclear relaxation of bound substrate, oxidized coenzyme, and inhibitor by the paramagnetic group is observed. This shows the existence of a binding site for these compounds close to the active site. The distances of selected protons of the binding ligands to the nitroxide are calculated. The iodoacetamide spin label reacts with several groups, one of which is not a sulfhydryl. The reaction of this particular group causes inactivation of the enzyme. Protection against this inactivation could be achieved with certain ligands. Only enzyme that was spin labeled without such protection caused paramagnetic relaxation of bound substrate and coenzyme.     

Off-resonance rotating-frame amide proton spin relaxation experiments measuring microsecond chemical exchange in proteins

NMR spin relaxation in the rotating frame (R_1ρ) is a unique method for atomic-resolution characterization of conformational (chemical) exchange processes occurring on the microsecond time scale. Here, we use amide ¹H off-resonance R_1ρ relaxation experiments to determine exchange parameters for processes that are significantly faster than those that can be probed using ¹⁵N or ¹³C relaxation. The new pulse sequence is validated using the E140Q mutant of the C-terminal domain of calmodulin, which exhibits significant conformational exchange contributions to the transverse relaxation rates. The ¹H off-resonance R_1ρ data sample the entire relaxation dispersion profiles for the large majority of residues in this protein, which exchanges between conformations with a time constant of approximately 20 μs. This is in contrast to the case for ¹⁵N, where additional laboratory-frame relaxation data are required to determine the exchange parameters reliably. Experiments were performed on uniformly ¹⁵N-enriched samples that were either highly enriched in ²H or fully protonated. In the latter case, dipolar cross-relaxation with aliphatic protons were effectively decoupled to first order using a selective inversion pulse. Deuterated and protonated samples gave the same results, within experimental errors. The use of deuterated samples increases the sensitivity towards exchange contributions to the ¹H transverse relaxation rates, since dipolar relaxation is greatly reduced. The exchange correlation times determined from the present ¹H off-resonance R_1ρ experiments are in excellent agreement with those determined previously using a combination of ¹⁵N laboratory-frame and off-resonance R_1ρ relaxation data, with average values of and 21 ± 3 μs, respectively.     

Solvent proton relaxation studies of cytochrome c oxidase solutions

The interaction of solvent water protons with the bound paramagnetic metal ions of beef heart cytochrome c oxidase has been examined. The observed proton relaxation rates of enzyme solutions had a negative temperature dependence, indicating a rapid exchange between solvent protons in the coordination sphere of the metal ions and bulk solvent. An analysis of the dependence of the proton relaxation rate on the observation frequency indicated that the correlation time, which modulates the interaction between solvent protons and the unpaired electrons on the metal ions, is due to the electron spin relaxation time of the heme irons of cytochrome c oxidase. This means that at least one of the hemes is exposed to solvent. The proton relaxation rate of the oxidized enzyme was found to be sensitive to changes in ionic strength and to changes in the spin states of the metal ions. Heme a3 was found to be relatively inaccessible to bulk solvent. Partial reduction of the enzyme caused a slight increase in the relaxation rate, which may be due to a change in the antiferromagnetic coupling between two of the bound paramagnetic centers. Further reduction resulted in a decreased relaxation rate, and the fully reduced enzyme was no longer sensitive to changes in ionic strength. The binding of cytochrome c to cytochrome c oxidase had little effect on the proton relaxation rates of oxidized cytochrome oxidase indicating that cytochrome c binding has little effect on solvent accessibility to the metal ion sites.