Stereocontrol via Propeller Chirality in FLP-Catalyzed Asymmetric Hydrogenation.

Utilization of chiral frustrated Lewis pairs as catalysts in enantioselective hydrogenation of unsaturated molecules represents a promising approach in asymmetric synthesis. In our effort to improve our current understanding of the factors governing the stereoselectivity in these catalytic processes, herein we examined the mechanism of direct hydrogenation of aromatic enamines catalyzed by a binaphthyl-based chiral amino-borane. Our computational analysis reveals that only one particular conformer of the key borohydride reaction intermediate can be regarded as a reactive form of this species. This borohydride conformer has a well-defined chiral propeller shape, which induces facial selectivity in the hydride transfer to pro-chiral iminium intermediates. The propeller chirality of the reactive borohydride conformer is generated by the axially chiral binaphthyl scaffold of the amino-borane catalyst through stabilizing π-π stacking interactions. This new computational insight can be readily used to interpret the high degree of stereoinduction observed for these reactions. We expect that the concept of chirality relay could be further exploited in catalyst design endeavors.

Delayed fluorescence from the photosynthetic reaction center measured by electronic gating of the photomultiplier.

The decay of the delayed fluorescence (920 nm) of reaction centers from the photosynthetic bacterium Rhodobacter sphaeroides R26 in the P(+)Q(A)(-) charge-separated state (P and Q(A) are the primary donor and quinone, respectively) has been monitored in a wide (100 ns to 100 ms) time range. The photomultiplier (Hamamatsu R3310-03) was protected from the intense prompt fluorescence by application of gating potential pulses (-280 V) to the first, third, and fifth dynodes during the laser pulse. The gain of the photomultiplier dropped transiently by a factor of 1 x 10(6). The delayed fluorescence showed a smooth but nonexponential decay from 100 ns to 1 ms that was explained by the relaxation of the average free energy between P* and P(+)Q(A)(-) changing from -580 to -910 meV. This relaxation is due to the slow protein response to charge separation and can be described by a Kohlrausch relaxation function with time constant of 65 micros and a stretching exponent of alpha = 0.45.

Quinone-dependent delayed fluorescence from the reaction center of photosynthetic bacteria.

Millisecond delayed fluorescence from the isolated reaction center of photosynthetic bacteria Rhodobacter sphaeroides was measured after single saturating flash excitation and was explained by thermal repopulation of the excited bacteriochlorophyll dimer from lower lying charge separated states. Three exponential components (fastest, fast, and slow) were found with lifetimes of 1.5, 102, and 865 ms and quantum yields of 6.4 x 10(-9), 2.2 x 10(-9), and 2.6 x 10(-9) (pH 8.0), respectively. While the two latter phases could be related to transient absorption changes, the fastest one could not. The fastest component, dominating when the primary quinone was prereduced, might be due to a small fraction of long-lived triplet states of the radical pair and/or the dimer. The fast phase observed in the absence of the secondary quinone, was sensitive to pH, temperature, and the chemical nature of the primary quinone. The standard free energy of the primary stable charge pair relative to that of the excited dimer was -910 +/- 20 meV at pH 8 and with native ubiquinone, and it showed characteristic changes upon pH and quinone replacement. The interaction energy ( approximately 50 meV) between the cluster of the protonatable groups around GluL212 and the primary semiquinone provides evidence for functional linkage between the two quinone binding pockets. An empirical relationship was found between the in situ free energy of the primary quinone and the rate of charge recombination, with practical importance in the estimation of the free energy levels from the easily available lifetime of the charge recombination. The ratio of the slow and fast components could be used to determine the pH dependence of the free energy level of the secondary stable charge pair relative to that of the excited dimer.

Unbinding of oxidized cytochrome c from photosynthetic reaction center of Rhodobacter sphaeroides is the bottleneck of fast turnover.

To understand the details of rate limitation of turnover of the photosynthetic reaction center, photooxidation of horse heart cytochrome c by reaction center from Rhodobacter spheroides in detergent dispersion has been examined by intense continuous illumination under a wide variety of conditions of cytochrome concentration, ionic strength, viscosity, temperature, light intensity, and pH. The observed steady-state turnover rate of the cytochrome was not light intensity limited. In accordance with recent findings [Larson, J. W., Wells, T. A., and Wraight, C. A. (1998) Biophys. J. 74 (2), A76], the turnover rate increased with increasing bulk ionic strength in the range of 0-40 mM NaCl from 1000 up to 2300 s(-)(1) and then decreased at high ionic strength under conditions of excess cytochrome and ubiquinone and a photochemical rate constant of 4500 s(-)(1). Furthermore, we found the following: (i) The contribution of donor (cytochrome c) and acceptor (ubiquinone) sides as well as the binding of reduced and the release of oxidized cytochrome c could be separated in the observed kinetics. At neutral and acidic pH (when the proton transfer is not rate limiting) and at low or moderate ionic strength, the turnover rate of the reaction center was limited primarily by the low release rate of the photooxidized cytochrome c (product inhibition). At high ionic strength, however, the binding rate of the reduced cytochrome c decreased dramatically and became the bottleneck. The observed activation energy of the steady-state turnover rate reflected the changes in limiting mechanisms: 1.5 kcal/mol at 4 mM and 5.7 kcal/mol at 100 mM ionic strength. A similar distinction was observed in the viscosity dependence of the turnover rate: the decrease was steep (eta(-)(1)) at 40 and 100 mM ionic strengths and moderate (eta(-)(0.2)) under low-salt (4 mM) conditions. (ii) The rate of quinone exchange at the acceptor side with excess ubiquinone-30 or ubiquinone-50 was higher than the cytochrome exchange at the donor side and did not limit the observed rate of cytochrome turnover. (iii) Multivalent cations exerted effects not only through ionic strength (screening) but also by direct interaction with surface charge groups (ion-pair production). Heavy metal ion Cd(2+) bound to the RC with apparent dissociation constant of 14 microM. (iv) A two-state model of collisional interaction between reaction center and cytochrome c together with simple electrostatic considerations in the calculation of rate constants was generally sufficient to describe the kinetics of photooxidation of dimer and cytochrome c. (v) The pH dependence of cytochrome turnover rate indicated that the steady-state turnover rate of the cytochrome under high light conditions was not determined by the isoelectric point of the reaction center (pI = 6. 1) but by the carboxyl residues near the docking site.

Electron transfer in reaction centers of Rhodobacter sphaeroides and Rhodobacter capsulatus monitored by fluorescence of the bacteriochlorophyll dimer.

Spectral and kinetic characteristics of fluorescence from isolated reaction centers of photosynthetic purple bacteria Rhodobacter sphaeroides and Rhodobacter capsulatus were measured at room temperature under rectangular shape of excitation at 810 nm. The kinetics of fluorescence at 915 nm reflected redox changes due to light and dark reactions in the donor and acceptor quinone complex of the reaction center as identified by absorption changes at 865 nm (bacteriochlorophyll dimer) and 450 nm (quinones) measured simultaneously with the fluorescence. Based on redox titration and gradual bleaching of the dimer, the yield of fluorescence from reaction centers could be separated into a time-dependent (originating from the dimer) and a constant part (coming from contaminating pigment (detached bacteriochlorin)). The origin was also confirmed by the corresponding excitation spectra of the 915 nm fluorescence. The ratio of yields of constant fluorescence over variable fluorescence was much smaller in Rhodobacter sphaeroides (0.15±0.1) than in Rhodobacter capsulatus (1.2±0.3). It was shown that the changes in fluorescence yield reflected the disappearance of the dimer and the quenching by the oxidized primary quinone. The redox changes of the secondary quinone did not have any influence on the yield but excess quinone in the solution quenched the (constant part of) fluorescence. The relative yields of fluorescence in different redox states of the reaction center were tabulated. The fluorescence of the dimer can be used as an effective tool in studies of redox reactions in reaction centers, an alternative to the measurements of absorption kinetics.

Distribution of distances between the tryptophan and the N-terminal residue of melittin in its complex with calmodulin, troponin C, and phospholipids.

We used frequency-domain measurements of fluorescence resonance energy transfer to measure the distribution of distances between Trp-19 of melittin and a 1-dimethylamino-5-sulfonylnaphthalene (dansyl) residue on the N-terminal-alpha-amino group. Distance distributions were obtained for melittin free in solution and when complexed with calmodulin (CaM), troponin C (TnC), or palmitoyloleoyl-L-alpha-phosphatidylcholine (POPC) vesicles. A wide range of donor (Trp-19)-to-acceptor (dansyl) distances was found for free melittin, which is consistent with that expected for the random coil state, characterized by a Gaussian width (full width at half maxima) of 28.2 A. In contrast, narrow distance distributions were found for melittin complexed with CaM, 8.2 A, or with POPC vesicles, 4.9 A. A somewhat wider distribution was found for the melittin complex with TnC, 12.8 A, suggesting the presence of heterogeneity in the mode of binding between melittin and TnC. For all the complexes the mean Trp-19 to dansyl distance was near 20 A. This value is somewhat smaller than expected for the free alpha-helical state of melittin, suggesting that binding with CaM or TnC results in a modest decrease in the length of the melittin molecule.

Intensity and anisotropy decays of [Leu5] enkephalin tyrosyl fluorescence by 10 GHz frequency-domain fluorometry.

The technique of 10 GHz frequency-domain fluorometry was used to resolve the complex picosecond intensity and anisotropy decays of the tyrosyl emission of [Leu5] enkephalin. Enhanced resolution of anisotropy decay was obtained by using acrylamide quenching of the tyrosyl fluorescence and global analysis of the frequency-domain anisotropy data obtained with different amounts of acrylamide. The data indicates a 44 ps correlation time for local tyrosine motions, and a 219 ps correlation time for overall rotational diffusion of the pentapeptide. Our data are consistent with an initial loss of fluorescence anisotropy from r0 = 0.4 to a value of r0 = 0.326 occurring during the first two picoseconds after excitation.

Effects of temperature on the fluorescence intensity and anisotropy decays of staphylococcal nuclease and the less stable nuclease-conA-SG28 mutant.

Frequency-domain fluorescence spectroscopy was used to investigate the effects of temperature on the intensity and anisotropy decays of the single tryptophan residues of Staphylococcal nuclease A and its nuclease-conA-SG28 mutant. This mutant has the beta-turn forming hexapeptide, Ser-Gly-Asn-Gly-Ser-Pro, substituted for the pentapeptide Tyr-Lys-Gly-Gln-Pro at positions 27-31. The intensity decays were analyzed in terms of a sum of exponentials and with Lorentzian distributions of decay times. The anisotropy decays were analyzed in terms of a sum of exponentials. Both the intensity and anisotropy decay parameters strongly depend on temperature near the thermal transitions of the proteins. Significant differences in the temperature stability of Staphylococcal nuclease and the mutant exist; these proteins show characteristic thermal transition temperatures (Tm) of 51 and 30 degrees C, respectively, at pH 7. The temperature dependence of the intensity decay data are shown to be consistent with a two-state unfolding model. For both proteins, the longer rotational correlation time, due to overall rotational diffusion, decreases dramatically at the transition temperature, and the amplitude of the shorter correlation time increases, indicating increased segmental motions of the single tryptophan residue. The mutant protein appears to have a slightly larger overall rotational correlation time and to show slightly more segmental motion of its Trp than is the case for the wild-type protein.

Distance distributions and anisotropy decays of troponin C and its complex with troponin I.

We used frequency domain measurements of fluorescence resonance energy transfer to recover the distribution of distances between Met 25 and Cys 98 in rabbit skeletal troponin C. These residues were labeled with dansylaziridine as energy donor and 5-(iodoacetamido)eosin as acceptor and are located on the N- and C-terminal lobes of the two-domain protein, respectively. We developed a procedure to correct for the fraction of the sample that was incompletely labeled with the acceptor independent of chemical data. At pH 7.5 and in the presence of Mg2+, the mean distance was near 15 A with a half-width of the distribution of 15 A; when Mg2+ was replaced by Ca2+, the mean distance increased to 22 A with a decrease in the half-width by 4 A. Similar but less pronounced differences in the mean distance and half-width between samples containing Mg2+ and Ca2+ were also observed with troponin C complexed to troponin I. The results suggest that the conformation of troponin C is altered by Ca2+ binding to the Ca(2+)-specific sites and displacing bound Mg2+ at the Ca2+/Mg2+ sites. This alteration may play an important role in Ca2+ signaling in muscle. At pH 7.5, the anisotropy decays of the donor-labeled troponin C showed two components, with the long rotational correlation time (12 ns) reflecting the overall motion of the protein. When the pH was lowered from 7.5 to 5.2, the mean distribution distance of apotroponin C increased from 22 to 32 A and the half-width decreased by a factor of 2 from 13 to 7 A. The long correlation time of apotroponin C increased to 19 ns at the acidic pH. These results are discussed in terms of a model in which skeletal troponin C is a dimer at low pH and enable comparison of the solution conformation of the protein at neutral pH with a crystal structure obtained at pH 5.2. While the conformation of the monomeric unit of troponin C dimer at pH 5.2 is extended and consistent with the crystal structure, the conformation at neutral pH is likely more compact than the crystal structure predicts.

Anisotropy decays of indole, melittin monomer and melittin tetramer by frequency-domain fluorometry and multi-wavelength global analysis.

We used frequency-domain fluorescence spectroscopy to measure the fluorescence lifetime and anisotropy decays of indole in propylene glycol, and of the tryptophan emission of melittin monomer and tetramer in water solutions at 5 degrees C. We obtained an increase in resolution of the anisotropy decays by using multiple excitation wavelengths, chosen to provide a range of fundamental anisotropy values. The multi-excitation wavelength anisotropy decays were analyzed globally to recover a single set of correlation times with wavelength-dependent anisotropy amplitudes. Simulated data and kappaR2 surfaces are shown to reveal the effect of multi-wavelength data on the resolution of complex anisotropy decays. For both indole and melittin, the anisotropy decays are heterogeneous and require two correlation times to fit the frequency-domain data. For indole in propylene glycol at 5 degrees C we recovered correlation times of 0.59 and 4.10 ns, which appear to be characteristic of the rigid and asymmetric indole molecule. For melittin monomer the correlation times were 0.13 and 1.75 ns, and for melittin tetramer 0.12 and 3.96 ns. The shorter and longer correlation times of melittin are due to segmental motions and overall rotational diffusion of the polypeptide.

Picosescond fluorescence lifetime standards for frequency- and time-domain fluorescence.

We characterized a series of dimethylamino-stilbene derivatives as standards for time-domain and frequency-domain lifetime measurements. The substances have reasonable quantum yields, are soluble in solvents available with a high purity, and do not show significant sensitivity to oxygen quenching. All the fluorophores displayed single exponential intensity decays, as characterized by frequency-domain measurements to 10 GHz. The decay times vary from 880 to 57 ps, depending on structure, solvent, and temperature, which is a useful range for modern picosecond time-domain or gigahertz frequency-domain instruments. These fluorophores may be used either to test an instrument or as reference compounds to eliminate color effects. We also characterized two-fluorophore mixtures, with the decay times spaced twofold (150 and 300 ps), with varying proportions. These mixtures are useful for testing the resolution of other time- and frequency-domain instrumentation. The excitation wavelength ranges from 260 to 430 nm, and the emission from 350 to 550 nm. The decay times are independent of the excitation and emission wavelengths.

Conformational differences of oxytocin and vasopressin as observed by fluorescence anisotropy decays and transient effects in collisional quenching of tyrosine fluorescence.

We used gigahertz frequency-domain fluorometry to examine the tyrosyl fluorescence intensity and anisotropy decays of the single-tyrosine cyclic peptide hormones oxytocin and vasopressin. Acrylamide quenching and a distance-dependent quenching model for collisional quenching were used to evaluate the extent of tyrosyl exposure to the quencher and to provide increased resolution of the picosecond anisotropy decays. Analysis of the intensity decays using a lifetime distribution model shows different distributions for oxytocin and vasopressin. We found that the tyrosyl fluorescence of lysine-vasopressin, as revealed both by the lifetime Stern-Volmer plots and from the quenching analysis, is quenched more effectively than oxytocin. ForN-acetyltyrosinamide (NATyrA), oxytocin, and lysine-vasopressin, we recovered apparent diffusion coefficients for quenching of 4.7×10(-6), 0.44×10(-6), and 4.3×10(-6) cm(2)/s, respectively, the lower value for oxytocin suggesting a shielded environment for its tyrosyl residue. Tyrosyl anisotropy decays were recovered by global analysis of progressively quenched samples. Compared with oxytocin, vasopressin displayed a longer correlation time for overall rotational diffusion and a higher amplitude for picosecond segmented motions of its tyrosyl residue. All the data are consistent with a more extended and flexible solution structure for vasopressin than for oxytocin.

Conformational distributions of melittin in water/methanol mixtures from frequency-domain measurements of nonradiative energy transfer.

We used fluorescence energy transfer to examine the effects of solvent composition on the distribution of distances between the single tryptophan residue of melittin (residue 19) to the N-terminal alpha-amino group, which was labeled with a dansyl residue. The tryptophan intensity decays, with and without the dansyl acceptor, were measured by the frequency-domain method. The data were analyzed by a least-squares algorithm which accounts for correlation between the parameters. A wide distribution of tryptophan to dansyl distances was found for the random-coil state, with a Gaussian half-width of 25 A. Increasing concentrations of methanol, which were shown to induce and alpha-helical conformation, resulted in a progressive decrease in the width of the distribution, reaching a limiting half-width of 3 A at 80% (v/v) methanol. The distance from the indole moiety of Trp-19 to the dansyl group in 80% (v/v) methanol/water was found to be 25 A, as assessed from the center of the distance distribution. A distance of 24-25 A was recovered from the X-ray crystal structure of the tetramer, which is largely alpha-helical. At low ionic strength (less than 0.01) the CD spectra revealed a small fraction or amount of alpha-helix for melittin in water, which implies a small fraction of residual structure. This residual structure is apparently lost in guanidine hydrochloride as demonstrated by a further broadening in the distribution of distances. These results demonstrate the usefulness of frequency-domain measurements of resonance transfer for resolution of conformational distributions of proteins.

Time-resolved emission spectra of hemoglobin on the picosecond time scale.

We used front-face illumination to examine the steady-state and time-resolved emission from the intrinsic tryptophan emission of human hemoglobin (Hb). Experimental conditions were identified which eliminated all contributions of scattered light. The sensitivity obtained using front-face optics was adequate to allow measurement of the wavelength-dependent frequency response of the emission to 2 GHz. The intensity decays displayed pico- and nanosecond components in the emission at all wavelengths from 315 to 380 nm. The contribution of the picosecond component decreased from 72 to 37% over this range of wavelengths. Frequency-domain measurements were used to calculate the time-resolved emission spectra and decay-associated emission spectra. These spectra indicate that the picosecond components of the emission display maxima near 320 nm, whereas the nanosecond components are centered at longer wavelengths near 335 nm. The nanosecond components appear to be due to residual impurities which remain even in highly purified samples of Hb. However, we cannot eliminate the possibility that some of these components are due to Hb itself.

Gigahertz frequency-domain fluorometry: resolution of complex decays, picosecond processes and future developments.

We describe the principles, instrumentation and applications of frequency-domain fluorescence spectroscopy. This method is useful for the resolution of multi-exponential decays and complex anisotropy decays on the picosecond timescale. The present instrumentation allows measurements to 2 GHz, which has been used to measure rotational correlation times as short as 7 ps. In the future it may be possible to extend the frequency range to 10 GHz, which should allow still faster processes to be quantified. It should be emphasized that resolution of fast processes is not obtained at the expense of losing information on the nanosecond timescale. Additionally, the GHz frequency-domain measurements are performed using low excitation intensities, which do not damage the samples.

Picosecond resolution of tyrosine fluorescence and anisotropy decays by 2-GHz frequency-domain fluorometry.

We extended the technique of frequency-domain fluorometry to an upper frequency limit of 2000 MHz. This was accomplished by using the harmonic content of a laser pulse train (3.76 MHz, 5 ps) from a synchronously pumped and cavity-dumped dye laser. We used a microchannel plate photomultiplier as the detector to obtain the 2-GHz bandwidth. This new instrument was used to examine tyrosine intensity and anisotropy decays from peptides and proteins. These initial data sets demonstrate that triply exponential tyrosine intensity decays are easily recoverable, even if the mean decay time is less than 1 ns. Importantly, the extended frequency range provides good resolution of rapid and/or multiexponential tyrosine anisotropy decays. Correlation times as short as 15 ps have been recovered for indole, with an uncertainty of +/- 3 ps. We recovered a doubly exponential anisotropy decay of oxytoxin (29 and 454 ps), which probably reflects torsional motions of the phenol ring and overall rotational diffusion, respectively. Also, a 40-ps component was found in the anisotropy decay of bovine pancreatic trypsin inhibitor, which may be due to rapid torsional motions of the tyrosine residues and/or energy transfer among these residues. The rapid component has an amplitude of 0.05, which is about 16% of the total anisotropy. The availability of 2-GHz frequency-domain data extends the measurable time scale for fluorescence to overlap with that of molecular dynamics calculations.

Flash-induced oxygen yield sequences during the life cycle of Chlorella.

(i) The pattern of O2 flash yields in the first 4 hours of the life cycle cannot be described by the simple Kok model without additional assumptions. (ii) The miss coefficient α in the mature cells in significantly higher than that in the autospores, its change occurring at the expense of the single-hit coefficient ß. Computer simulation yielded α values of 0.29 and 0.23 and ß values of 0.66 and 0.72 in the light and dark, respectively. (iii) The onset of light at the beginning of the cycle drastically changes the equilibrium distribution of the S states in the dark; the ratio S0/S1 increases from 30/70 to 50/50 in 1 h, and is restored not earlier than in the 6th hour. (iv) In the presence of 1 mmol/l p-benzoquinone, the alga shows pronounced and long-lasting oscillations in the O2 yield sequences, independently of the time of the life cycle. This means that the O2-evolving system itself is always present and equally efficient throughout the life cycle. Limits imposed on its activity (mainly in the first 4 hours) are clearly of an external nature. The redox potential of the inner thylakoid space is presumably involved.

Picosecond resolution of oxytocin tyrosyl fluorescence by 2 GHz frequency-domain fluorometry.

The technique of frequency-domain fluorometry has been extended to 2000 MHz using the harmonic content of a picosecond laser source and a microchannel plate photomultiplier tube. This new instrument was used to resolve complex subnanosecond intensity and anisotropy decays of the tyrosyl emission of oxytocin. The intensity decay was found to contain at least three exponential components, 80, 359 and 927 ps. The anisotropy analysis revealed a 29 ps torsional motion of the tyrosine residue as well as a 454 ps overall rotational correlation time. The time resolution of this method should permit the comparison of experimental results with theoretical models for motions of proteins.

Measurement of subnanosecond anisotropy decays of protein fluorescence using frequency-domain fluorometry.

We report the first anisotropy decays of protein fluorescence obtained using a frequency-domain fluorometer. The ultraviolet light source (300 nm) was a ring dye laser equipped with an intracavity frequency doubler, pumped by an argon ion laser. The data, measured at modulation frequencies from 2 to 200 MHz, reveal the presence of subnanosecond motions (0.1-0.2 ns) of the single tryptophan residues in melittin and monellin. For melittin the data also indicate the presence of slower motions near 1 ns, which may be the result of concerted motions of several peptide units. Smaller amplitude motions, on a similar timescale, were observed for the single tryptophan residue in staphylococcal nuclease. We demonstrate using N-acetyl-L-tryptophanamide in water that the method of frequency-domain fluorometry is capable of measuring correlation times as short as 50 ps. This method can provide data for the direct comparison of measured anisotropy decays with those predicted from molecular dynamics calculations.

Analysis of fluorescence decay kinetics from variable-frequency phase shift and modulation data.

Recently it has become possible to measure fluorescence phase-shift and modulation data over a wide range of modulation frequencies. In this paper we describe the analysis of these data by the method of nonlinear least squares to determine the values of the lifetimes and fractional intensities for a mixture of exponentially decaying fluorophores. Analyzing simulated data allowed us to determine those experimental factors that are most critical for successfully resolving the emissions from mixtures of fluorophores. The most critical factors are the accuracy of the experimental data, the relative difference of the individual decay times, and the inclusion of data measured at multiple emission wavelengths. After measuring at eight widely spaced modulation frequencies, additional measurements yielded only a modest increase in resolution. In particular, the uncertainty in the parameters decreased approximately as the reciprocal of the square root of the number of modulation frequencies. Our simulations showed that with presently available precision and data for one emission bandpass, two decay times could be accurately determined if their ratio were greater than or equal to 1.4. Three exponential decays could also be resolved, but only if the range of the lifetimes were fivefold or greater. To reliably determine closely-spaced decay times, the data were measured at multiple emission wavelengths so that the fractional intensities of the components could be varied. Also, independent knowledge of any of the parameters substantially increased the accuracy with which the remaining parameters could be determined. In the subsequent paper we present experimental results that broadly confirm the predicted resolving potential of variable-frequency phase-modulation fluorometry.