We studied the rotational motions of tryptophan residues in proteins and peptides by measurement of steady-state fluorescence anisotropies under conditions of oxygen quenching. By fluorescence quenching we can shorten the fluorescence lifetime and thereby decrease the average time for rotational diffusion prior to fluorescence emission. This method allowed measurement of rotational correlation times ranging from 0.03 to 50 ns, when the unquenched fuorescence lifetimes are near 4 ns. A wide range of proteins and peptides were investigated with molecular weights ranging from 200 to 80 000. Many of the chosen substances possessed a single tryptophan residue to minimize the uncertainties arising from a heterogeneous population of fluorophores. In addition, we also studied a number of multi-tryptophan proteins. Proteins were studied at various temperatures, under conditions of self-association, and in the presence of denaturants. A wide variety of rotational correlation times were found. As examples we note that the single tryptophan residue of myelin basic protein was highly mobile relative to overall protein rotation whereas tryptophan residues in human serum albumin, RNase T1, aldolase, and horse liver alcohol dehydrogenase were found to be immobile relative to the protein matrix. These results indicate that one cannot generalize about the extent of segmental mobility of the tryptophan residues in proteins. This physical property of proteins is highly variable between proteins and probably between different regions of the same protein.

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Theory is presented for the analysis of excited-state reactions by fluorescence phase shift and demodulation methods. Initially, a two-state model with spectral overlap is considered to illustrate most simply the effects of excited-state reactions on the expected phase and modulation values. Secondly, a multistate model is described to illustrate the probable effects of a fluorophore interacting with several solvent molecules. We note the following unique features of phase-modulation data expected from a fluorophore whose emission spectrum shifts during the lifetime of the excited state: (1) The modulation frequency dependence of the apparent phase (tau p) and modulation (tau m lifetimes of the reacted species is opposite to that of a heterogeneous population of fluorophores. (2) For the reacted species tau p greater than tau m. For a heterogeneous sample tau p less than tau m. (3) The phase angle of the reacted species can exceed 90 degrees. For a heterogeneous sample phase angles are always less than 90 degrees. Thus, phase and modulation measurements can distinguish between time-dependent processes and spectral heterogeneity by observation of any feature described above. Additionally: (4) The lifetime of the product species can be measured directly. (5) Reverse relaxation can be identified, and the reverse relaxation rates calculated. (6) The wavelength-dependent phase and modulation data can be used to resolve the individual spectra from a two-state reaction. (7) And finally, under favorable conditions, a two-state excited-state process can be distinguished from a continuous multiple-state process. In each instance, model calculations are presented to illustrate the unique potentials of phase-modulation fluorometry for investigations of excited-state processes.

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