Fluorescence Anisotropy: Theory and Applications of Rotational Depolarization

Abstract This review article presents the principal problems of fluorescence emission anisotropy in rigid and liquid isotropic solutions, as well as in partially ordered fluid systems (membranes), and indicates possible practical uses of these phenomena in physicochemical and biophysical investigations. It has been shown that fluorescence anisotropy provides a quantity of information on photophysical processes that occur in complex molecules. Thus, conclusions can be drawn with respect to molecular structure and properties, e.g., shapes, dimensions and conformational changes, electric dipole moments in excited states, relaxation of local temperature of excited molecules, as well as on the structure and internal dynamics of molecular systems.

[1]  J. Szubiakowski Ground state transient linear dichroism for molecules with level-dependent rotational diffusion , 1990 .

[2]  W. L. Lewschin Über polarisiertes Fluoreszenzlicht von Farbstofflösungen. III , 1924 .

[3]  A. Szabó Theory of polarized fluorescent emission in uniaxial liquid crystals , 1980 .

[4]  L. Stryer,et al.  Effect of cholesterol on the rotational mobility of diphenylhexatriene in liposomes: a nanosecond fluorescence anisotrophy study. , 1977, Journal of molecular biology.

[5]  L. Johansson Limiting fluorescence anisotropies of perylene and xanthene derivatives , 1990 .

[6]  E. Small,et al.  The use of moment index displacement in analyzing fluorescence time‐decay data , 1976 .

[7]  K. Kinosita,et al.  A theory of fluorescence polarization decay in membranes. , 1977, Biophysical journal.

[8]  G. Weber Polarization of the Fluorescence of Solutions Subjected to an Electric Field , 1965 .

[9]  J. Huster Notizen: Die Kristallstruktur von BaTiS3/Crystal Structure of BaTiS3 , 1980 .

[10]  George Porter,et al.  Picosecond fluorescence depolarisation measured by frequency conversion , 1981 .

[11]  F. Dörr,et al.  Pulsfluorimetrie unter Anwendung der Laplace‐Transformation I. Messung von Fluoreszenzlebensdauern II. Rotationsrelaxation von Rhodamin 6 G und von Perylen in optisch angeregten Zuständen in Abhängigkeit von der Anregungsenergie , 1975 .

[12]  R. Kapral,et al.  Molecular theory of translational diffusion: Microscopic generalization of the normal velocity boundary condition , 1979 .

[13]  S. N. Timasheff,et al.  Polarized fluorescence decay curves for beta-lactoglobulin A in various states of association. , 1969, Biochemistry.

[14]  Shozaburo Hiratsuka,et al.  Studies of micro‐brownian motion of a polymer chain by the fluorescence polarization method. II. Segmental motions in concentrated polymer solutions , 1967 .

[15]  M. Wirth,et al.  Behavior of the rotational diffusion tensor of tetracene under subslip conditions , 1991 .

[16]  E Gratton,et al.  Resolution of mixtures of fluorophores using variable-frequency phase and modulation data. , 1984, Biophysical journal.

[17]  G. Weill Polarized Fluorescence in an Electric Field , 1981 .

[18]  G. Weill,et al.  Polarization of fluorescence of an oriented solution of rodlike particles bearing a fluorescent label , 1971 .

[19]  J. Lakowicz Gigahertz Frequency-Domain Fluorometry: Resolution of Complex Intensity Decays, Picosecond Processes and Future Developments , 1989 .

[20]  Z. Gryczynski,et al.  On the Determination of Transition-Moment Directions from Absorption Anisotropy Measurements , 1986 .

[21]  Graham R. Fleming,et al.  Subpicosecond fluorescence anisotropy studies of tryptophan in water , 1990 .

[22]  J. Lakowicz,et al.  Effects of temperature on the fluorescence intensity and anisotropy decays of staphylococcal nuclease and the less stable nuclease-conA-SG28 mutant. , 1991, Biochemistry.

[23]  G. Edelman,et al.  Fluorescence polarization of human gamma-G-immunoglobulins. , 1967, Biochemistry.

[24]  J. Lakowicz Principles of fluorescence spectroscopy , 1983 .

[25]  G. Weber Theory of Fluorescence Depolarization by Anisotropic Brownian Rotations. Discontinuous Distribution Approach , 1971 .

[26]  L. Stryer,et al.  Segmental flexibility in an antibody molecule. , 1970, Journal of molecular biology.

[27]  O. Kandler,et al.  Über den Zusammenhang zwischen Phosphathaushalt und Photosynthese , 1963 .

[28]  Joseph R. Lakowicz,et al.  2-GHz frequency-domain fluorometer , 1986 .

[29]  R. S. Moog,et al.  Viscosity dependence of the rotational reorientation of rhodamine B in mono- and polyalcohols. Picosecond transient grating experiments , 1983 .

[30]  A. Zewail,et al.  Picosecond saturation spectroscopy of cresyl violet: rotational diffusion by a , 1979 .

[31]  B. Maliwal,et al.  Time-resolved fluorescence anisotropies of diphenylhexatriene and perylene in solvents and lipid bilayers obtained from multifrequency phase-modulation fluorometry. , 1985, Biochemistry.

[32]  A. Kawski,et al.  Anisotropic Fluorescence of Polar Molecules in External Electric Field, Dipole Moments of Para-Disubstituted Transstilbenes in the First Excited Singlet State , 1991 .

[33]  F. Perrin La fluorescence des solutions - Induction moléculaire. – Polarisation et durée d'émission. – Photochimie , 1929 .

[34]  J. Lakowicz,et al.  Distance distributions in native and random‐coil troponin I from frequency‐domain measurements of fluorescence energy transfer , 1988, Biopolymers.

[35]  V. W. Burns Fluorescence polarization characteristics of the complexes between ethidium bromide and rRNA, tRNA, and DNA. , 1971, Archives of biochemistry and biophysics.

[36]  W. Huntress Nuclear magnetic resonance study of anisotropic molecular rotation in liquid chloroform and in chloroform-benzene solution , 1969 .

[37]  G. Weill,et al.  Polarized fluorescence in an electric field: comparison with other electrooptical effects for rodlike fragments of DNA and the problem of the saturation of the induced moment in polyelectrolytes. , 1979, Biophysical chemistry.

[38]  D. Waldeck,et al.  Influence of viscosity and temperature on rotational reorientation. Anisotropic absorption studies of 3,3'-diethyloxadicarbocyanine iodide , 1981 .

[39]  G. Guilbault Fluorescence: Theory, Instrumentation and Practice , 1968 .

[40]  Y. K. Levine,et al.  A theory of fluorescence depolarization in macroscopically ordered membrane systems , 1982 .

[41]  L. Johansson Order parameters of fluorophores in ground and excited states. Probe molecules in a lyotropic liquid crystal , 1985 .

[42]  A. Jablonski Virtual oscillators in the metallic model of luminescent molecules , 1955 .

[43]  A. Jablonski Zur Theorie der Polarisation der Photolumineszenz von Farbstofflösungen , 1935 .

[44]  D. Waldeck,et al.  Ultraviolet picosecond pump-probe spectroscopy with a synchronously pumped dye laser. Rotational diffusion of diphenyl butadiene , 1982 .

[45]  N. Ellerton,et al.  Fluorescence polarization study of DNA–proflavine complexes , 1969, Biopolymers.

[46]  J. Lakowicz,et al.  Enhanced resolution of fluorescence anisotropy decays by simultaneous analysis of progressively quenched samples. Applications to anisotropic rotations and to protein dynamics. , 1987, Biophysical journal.

[47]  D. Corda,et al.  ROTATIONAL DIFFUSION OF RHODOPSIN IN MEMBRANES AS DETERMINED BY STEADY‐STATE POLARIZED PHOTOCHROMISM , 1981 .

[48]  J. Lakowicz,et al.  Analysis of fluorescence decay kinetics from variable-frequency phase shift and modulation data. , 1984, Biophysical journal.

[49]  Graham R. Fleming,et al.  Chemical applications of ultrafast spectroscopy , 1986 .

[50]  R. Memming Theorie der Fluoreszenzpolarisation für nicht kugelsymmetrische Moleküle , 1961 .

[51]  George Porter,et al.  Picosecond rotational diffusion in kinetic and steady state fluorescence spectroscopy , 1977 .

[52]  F. Perrin Polarisation de la lumière de fluorescence. Vie moyenne des molécules dans l'etat excité , 1926 .

[53]  J. Fisz Fluorescence depolarization in macroscopically ordered uniaxial molecular samples. I , 1985 .

[54]  J. Lakowicz,et al.  Differential polarized phase fluorometric investigations of diphenylhexatriene in lipid bilayers. Quantitation of hindered depolarizing rotations. , 1979, Biochemistry.

[55]  J. Lakowicz,et al.  Conformation heterogeneity in proteins as an origin of heterogeneous fluorescence decays, illustrated by native and denatured ribonuclease T1. , 1988, Biochimica et biophysica acta.

[56]  D. F. Bocian,et al.  NMR Studies of Membrane Structure and Dynamics , 1978 .

[57]  G. Fleming,et al.  Analysis of time-resolved fluorescence anisotropy decays. , 1984, Biophysical journal.

[58]  P. P. Feofilov,et al.  The physical basis of polarized emission , 1961 .

[59]  E. Sackmann Flüssig‐kristalline Zustände in künstlichen und biologischen Membranen , 1974, Berichte der Bunsengesellschaft für physikalische Chemie.

[60]  N. Mataga,et al.  Electronic structures of carbazole and indole and the solvent effects on the electronic spectra , 1964 .

[61]  F. Jähnig Structural order of lipids and proteins in membranes: evaluation of fluorescence anisotropy data. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[62]  L. Favro,et al.  Theory of the Rotational Brownian Motion of a Free Rigid Body , 1960 .

[63]  H. Lessing,et al.  Rotational-diffusion anomalies in dye solutions from transient-dichroism experiments , 1979 .

[64]  B. Valeur,et al.  RESOLUTION OF THE FLUORESCENCE EXCITATION SPECTRUM OF INDOLE INTO THE 1La AND 1Lb EXCITATION BANDS * , 1977, Photochemistry and photobiology.

[65]  K. Eisenthal,et al.  Studies of excited state charge‐transfer interactions with picosecond laser pulses , 1975 .

[66]  J. I. Brauman,et al.  Depolarized Rayleigh scattering and orientational relaxation of molecules in solution. I. Benzene, toluene, and para‐xylene , 1973 .

[67]  D. Walther,et al.  Aktivierung von CO2 an Übergangsmetallzentren: Struktur und Reaktivität eines C-C-Kopplungsproduktes von CO2 und 2.3-Dimethylbutadien am elektronenreichen Nickel(O) / Activation of CO2 at Transition Metal Centers: Structure and Reactivity of a C-C-Coupling Product of CO2 and 2,3-Dimethylbutadiene at , 1983 .

[68]  J M Beechem,et al.  Time-resolved fluorescence of proteins. , 1985, Annual review of biochemistry.

[69]  P. Wahl Mesure de la décroissance de la fluorescence polarisée de la γ-globuline-1-sulfonyl-5-diméthylaminonaphtalène , 1969 .

[70]  A. Jablonski Über die Abklingungsvorgänge polarisierter Photolumineszenz , 1961 .

[71]  H. Lessing,et al.  Separation of rotational diffusion and level kinetics in transient absorption spectroscopy , 1976 .

[72]  R. Steiner,et al.  Anisotropy decay of fluorescence as an experimental approach to protein dynamics. , 1988, Biophysical chemistry.

[73]  T. Tao Time‐dependent fluorescence depolarization and Brownian rotational diffusion coefficients of macromolecules , 1969 .

[74]  A. C. Albrecht,et al.  Assignment of Excited Electronic States of the Benzyl Radical by the Method of Three‐Step Photoselection , 1968 .

[75]  Bruno H. Zimm,et al.  Theory of twisting and bending of chain macromolecules; analysis of the fluorescence depolarization of DNA , 1979 .

[76]  J. Lakowicz,et al.  End-to-end distance distributions of flexible molecules from steady state fluorescence energy transfer and quenching-induced changes in the Förster distance , 1988 .

[77]  Seymour H. Koenig,et al.  Brownian motion of an ellipsoid. A correction to Perrin's results , 1975 .

[78]  M. Shinitzky,et al.  Lipid fluidity at the submacroscopic level: Determination by fluorescence polarization , 1982 .

[79]  A. Kawski EXCITATION ENERGY TRANSFER AND ITS MANIFESTATION IN ISOTROPIC MEDIA , 1983 .

[80]  J. Lakowicz,et al.  Intensity and anisotropy decays of the tyrosine calmodulin proteolytic fragments, as studied by GHz frequency-domain fluorescence. , 1991, Biophysical chemistry.

[81]  Joseph R. Lakowicz,et al.  A 10‐GHz frequency‐domain fluorometer , 1990 .

[82]  P. Wahl,et al.  Fluorescence depolarization of rabbit gamma globulin conjugates. , 1967, Journal of molecular biology.

[83]  A. Penzkofer,et al.  Photoinduced dichroism and vibronic relaxation of rhodamine dyes , 1976 .

[84]  T. Litovitz,et al.  Raman Scattering: Orientational Motions in Liquids , 1972 .

[85]  Jeanne Rudzki Small,et al.  Molecular Shapes From Rotational Diffusion: Dye Molecules, Proteins And Nucleosomes , 1988, Photonics West - Lasers and Applications in Science and Engineering.

[86]  D. Waldeck,et al.  Time resolved polarization spectroscopy: Level kinetics and rotational diffusion , 1983 .

[87]  D. Phillips,et al.  Time-resolved fluorescence anisotropy of perylene , 1986 .

[88]  R. Alicki,et al.  Theory of Fluorescence Depolarization by Anisotropic Brownian Rotations , 1983 .

[89]  E. Small,et al.  Hydrodynamic properties of a rigid molecule: Rotational and linear diffusion and fluorescence anisotropy , 1977, Biopolymers.

[90]  R. Newman,et al.  Anisotropic molecular rotation in solution: the interpretation of carbon-13 T 1 data for triptycene and 9H-fluorene , 1979 .

[91]  D. J. Cowley Fluorescence of some dipolar N,N-disubstituted 4-(dichloro-1,3,5-triazinyl)anilines. Part 4. Internal and molecular rotations in homogeneous and inhomogeneous media , 1984 .

[92]  R. Zwanzig Rotational friction coefficients of a bumpy cylinder with slipping and sticking boundary conditions , 1978 .

[93]  C. Cantor,et al.  Conformational studies on transfer ribonucleic acid. Fluorescence lifetime and nanosecond depolarization measurements on bound ethidium bromidee. , 1970, Biochemistry.

[94]  J. Le Pecq,et al.  Decay of fluorescence emission anisotropy of the ethidium bromide-DNA complex. Evidence for an internal motion in DNA. , 1970, Proceedings of the National Academy of Sciences of the United States of America.

[95]  D. O'connor,et al.  Time-Correlated Single Photon Counting , 1984 .

[96]  J. Lakowicz,et al.  Analysis of excited-state processes by phase-modulation fluorescence spectroscopy. , 1982, Biophysical chemistry.

[97]  K. Kinosita,et al.  Dynamic structure of lipid bilayers studied by nanosecond fluorescence techniques. , 1977, Biochemistry.

[98]  G. Lindblom,et al.  Orientation and mobility of molecules in membranes studied by polarized light spectroscopy , 1980, Quarterly Reviews of Biophysics.

[99]  J. M. Morris,et al.  Time dependent fluorescence depolarization studies of BBOT , 1977 .

[100]  J. Czekalla,et al.  Die Beeinflussung der Fluoreszenz von Molekülen durch ein äußeres elektrisches Feld II. Bestimmung von Dipolmomenten angeregter Moleküle , 1963 .

[101]  L. Stryer,et al.  The interaction of a naphthalene dye with apomyoglobin and apohemoglobin. A fluorescent probe of non-polar binding sites. , 1965, Journal of molecular biology.

[102]  Stephen A. Rice,et al.  Time-resolved fluorescence depolarization studies of rotational relaxation in viscous media , 1980 .

[103]  G. Scheibe Theodor Förster: Fluoreszenz organischer Verbindungen. 312 Seiten mit 81 Abbildungen. Göttingen 1951, Vandenhoeck & Ruprecht, Verlagsbuchhandlung, Preis DM 26,— , 1952 .

[104]  A. Szabó Theory of fluorescence depolarization in macromolecules and membranes , 1984 .

[105]  Y. Barenholz,et al.  Fluidity parameters of lipid regions determined by fluorescence polarization. , 1978, Biochimica et biophysica acta.

[106]  Satoshi Suzuki,et al.  The fluorescent level inversion of dual fluorescences and the motional relaxation of excited state molecules in solutions , 1977 .

[107]  M. Kawasaki,et al.  Effect of rotational relaxation on the intensity and polarization of fluorescence emission caused by sequential two-photo excitation , 1984 .

[108]  Y. Barenholz,et al.  Dynamics of the hydrocarbon layer in liposomes of lecithin and sphingomyelin containing dicetylphosphate. , 1974, The Journal of biological chemistry.

[109]  H. Eichler,et al.  Measurement of orientational relaxation times of rhodamine 6G with a streak camera , 1979 .

[110]  C. Zannoni A theory of fluorescence depolarization in membranes , 1981 .

[111]  R. D. Spencer,et al.  Influence of Brownian Rotations and Energy Transfer upon the Measurements of Fluorescence Lifetime , 1970 .

[112]  W. Szymanowski Einfluß der Rotation der Moleküle auf die Messungen der Abklingzeit der Fluoreszenzstrahlung , 1935 .

[113]  R. Dale,et al.  Nanosecond time-dependent fluorescence depolarization of diphenylhexatriene in dimyristoyllecithin vesicles and the determination of "microviscosity". , 1977, The Journal of biological chemistry.

[114]  A. Kawski,et al.  Rotational Depolarization of Fluorescence of Prolate Molecules , 1990 .

[115]  A. C. Albrecht,et al.  Electronic States of Benzene by Photoselection. The Polarization of Luminescence in Benzene, Perdeuterobenzene, and Perchlorobenzene , 1964 .

[116]  K. Spears,et al.  Rotational diffusion in aprotic and protic solvents , 1978 .

[117]  J. Lakowicz,et al.  Anisotropy decays of indole, melittin monomer and melittin tetramer by frequency-domain fluorometry and multi-wavelength global analysis. , 1991, Biophysical chemistry.

[118]  J. Lakowicz,et al.  A 4-GHz frequency-domain fluorometer with internal microchannel plate photomultiplier cross-correlation. , 1991, Analytical biochemistry.

[119]  R. Dale,et al.  Rotational relaxation of the "microviscosity" probe diphenylhexatriene in paraffin oil and egg lecithin vesicles. , 1977, The Journal of biological chemistry.

[120]  G. Uhlenbeck,et al.  On the Theory of the Brownian Motion , 1930 .

[121]  R. Alicki,et al.  Theory of Rotational Motion of Prolate Luminescent Molecules in Solution , 1981 .

[122]  D. Tildesley,et al.  Time correlation functions for a model of liquid carbon disulphide , 1983 .

[123]  A. Wright,et al.  Numerical inversion of the Perrin equations for rotational and translational diffusion constants by iterative techniques. , 1976, Biophysical journal.

[124]  W. Steele Molecular Reorientation in Liquids. I. Distribution Functions and Friction Constants , 1963 .

[125]  J. I. Brauman,et al.  Depolarized Rayleigh scattering and orientational relaxation of molecules in solution. II Chloroform and nitrobenzene , 1973 .

[126]  A. Morita The rotational Brownian motion of a nonspherical body and its application to the theory of dielectric relaxation , 1982 .

[127]  W. Mantulin,et al.  Rotational anisotropy and solvent–fluorophore bonds: An investigation by differential polarized phase fluorometry , 1977 .

[128]  B. Witholt,et al.  [87] Fluorescence measurements , 1967 .

[129]  H. Shimizu Effect of Molecular Shape on Nuclear Magnetic Relaxation , 1962 .

[130]  H. Lessing,et al.  Rotational Diffusion of Prolate and Oblate Molecules from Absorption Relaxation , 1979 .

[131]  James H. Schulman,et al.  Fluorescence and Phosphorescence , 1949 .

[132]  G. Weber,et al.  Dimer formation from 1-anilino-8-naphthalenesulfonate catalyzed by bovine serum albumin. Fluorescent molecule with exceptional binding properties , 1969 .

[133]  K. Berndt,et al.  Picosecond phase fluorometry by mode-locked cw lasers , 1982 .

[134]  J. Lakowicz,et al.  Quantitation of hindered rotations of diphenylhexatriene in lipid bilayers by differential polarized phase fluorometry. , 1978, Science.

[135]  W. Liptay Die Beeinflussung der Fluoreszenz von Molekülen durch ein äußeres elektrisches Feld. 1. Theorie , 1963 .

[136]  P. D. Hyde,et al.  Rotational dynamics of anthracene and 9,10‐dimethylanthracene in polyisoprene , 1990 .

[137]  W. Steele,et al.  A model for strongly hindered molecular reorientation in liquids , 1984 .

[138]  H. Lessing,et al.  Rotational diffusion of dyes in micellar media from transient absorption , 1979 .

[139]  G. Radda,et al.  Can fluorescent probes tell us anything about membranes , 1972 .

[140]  Raymond J. Seeger,et al.  Lectures in Theoretical Physics , 1962 .

[141]  R. Steiner,et al.  Use of the fluorescence technique as an absolute method for obtaining mean relaxation times of globular proteins , 1957 .

[142]  Karl‐Friedrich Tebbe,et al.  Die Kristallstruktur des Bis (1,2-diaminoethan)-kupfer(II)-diiodocuprats (I), [Cu(H2NCH2CH2NH2)2(CuI4/2)2] / The Crystal Structure of [Cu(H2NCH2CH2NH2)2(CuI4/2)2] , 1980 .

[143]  Michael Kasha,et al.  Characterization of electronic transitions in complex molecules , 1950 .

[144]  S. J. Wawilow,et al.  Beiträge zur Frage über polarisiertes Fluoreszenzlicht von Farbstofflösungen. II , 1923 .

[145]  A. C. Albrecht Polarizations and assignments of transitions: The method of photoselection , 1961 .

[146]  D. Malencik,et al.  Fluorescence polarization studies of the self-association of beef liver glutamate dehydrogenase. , 1972, Biochemistry.

[147]  G. Weber,et al.  Fluorescence depolarization measurements on pyrene butyric-bovine serum albumin conjugates. , 1967, The Journal of biological chemistry.

[148]  K. Eisenthal,et al.  Theory of Fluorescence Depolarization by Anisotropic Rotational Diffusion , 1972 .

[149]  H. Asai,et al.  On the rotational brownian motion of a bacterial idle motor. I. Theory of time-dependent fluorescence depolarization. , 1984, Biophysical chemistry.

[150]  Y. K. Levine,et al.  Determination of orientational order parameters in oriented lipid membrane systems by angle-resolved fluorescence depolarization experiments , 1983 .

[151]  Shozaburo Hiratsuka,et al.  Studies of micro‐brownian motion of a polymer chain by the fluorescence polarization method. I. Fluorescent conjugates of polyacrylamide , 1967 .

[152]  I. Gryczynski,et al.  Detection of three rotational correlation times for a rigid asymmetric molecule using frequency-domain fluorometry , 1988 .

[153]  R. Cundall,et al.  Time dependent fluorescence polarization studies using isotropic and liquid crystal media , 1974 .

[154]  H. Labhart,et al.  Influence of excess excitation energy on rotational relaxation of molecules in solution , 1973 .

[155]  F. Perrin,et al.  Mouvement brownien d'un ellipsoide - I. Dispersion diélectrique pour des molécules ellipsoidales , 1934 .

[156]  Joseph R. Lakowicz,et al.  Detection Of Three Rotational Correlation Times For A Rigid Asymmetric Molecule Using Frequency-Domain Fluorometry , 1988, Photonics West - Lasers and Applications in Science and Engineering.

[157]  A. Szabó,et al.  Effect of librational motion on fluorescence depolarization and nuclear magnetic resonance relaxation in macromolecules and membranes. , 1980, Biophysical journal.

[158]  J. Lombardi,et al.  Anisotropic Rotational Relaxation in Rigid Media by Polarized Photoselection , 1966 .

[159]  A. Kawski,et al.  Influence of Quenching upon the Rotational Depolarization of Fluorescence , 1985 .

[160]  Graham R. Fleming,et al.  Direct observation of rotational diffusion by picosecond spectroscopy , 1976 .

[161]  D. Wallach Effect of Internal Rotation on Angular Correlation Functions , 1967 .

[162]  C. Zannoni A theory of time dependent fluorescence depolarization in liquid crystals , 1979 .

[163]  G. Weber Polarization of the fluorescence of macromolecules. I. Theory and experimental method. , 1952, The Biochemical journal.

[164]  L. D. Maeyer,et al.  Picosecond rotational diffusion by differential single-photon fluorescence spectroscopy , 1981 .

[165]  J. Lakowicz,et al.  Detection of hindered rotations of 1,6-diphenyl-1,3,5-hexatriene in lipid bilayers by differential polarized phase fluorometry. , 1978, Biophysical journal.

[166]  P. Wahl,et al.  Étude théorique de la polarisation de fluorescence des macromolécules portant un groupe émetteur mobile autour d'un axe de rotation , 1963 .

[167]  L. Monnerie,et al.  SOLID‐STATE POLYMERS AS STUDIED BY FLUORESCENCE POLARIZATION: MOBILITY AND ORIENTATION MEASUREMENTS , 1981 .

[168]  R. Zwanzig,et al.  Rotational friction coefficients for spheroids with the slipping boundary condition , 1974 .

[169]  J. Lakowicz,et al.  Theory of phase-modulation fluorescence spectroscopy for excited-state processes. , 1982, Biophysical chemistry.

[170]  I Munro,et al.  Subnanosecond motions of tryptophan residues in proteins. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[171]  G. Weber,et al.  Fluorescence polarization of the complexes of 1-anilino-8-naphthalenesulfonate with bovine serum albumin. Evidence for preferential orientation of the ligand. , 1969, Biochemistry.

[172]  L. Holleck,et al.  [INHIBITORY EFFECTS OF SURFACE-ACTIVE AGENTS ON POLAROGRAPHIC AZO GROUP REDUCTION]. , 1964, Zeitschrift fur Naturforschung. Teil B, Chemie, Biochemie, Biophysik, Biologie und verwandte Gebiete.

[173]  P. Pringsheim,et al.  Influence de la viscosité et de la nature du solvant sur le degré de polarisation de la lumière de fluorescence , 1937 .

[174]  J. Lakowicz,et al.  Measurement of subnanosecond anisotropy decays of protein fluorescence using frequency-domain fluorometry. , 1986, The Journal of biological chemistry.

[175]  J. I. Brauman,et al.  MOLECULAR REORIENTATION IN LIQUIDS, EXPERIMENTAL TEST OF HYDRODYNAMIC MODELS , 1975 .

[176]  A. Laubereau,et al.  Ultrafast polarization spectroscopy of dye molecules , 1982 .

[177]  D. Webb,et al.  Photoluminescence of solutions , 1969 .

[178]  J. Lakowicz,et al.  Transient Effects in Fluorescence Quenching Measured by 2-GHz Frequency-Domain Fluorometry. , 1987, The Journal of physical chemistry.

[179]  M. Barkley,et al.  Fluorescence decay studies of anisotropic rotations of small molecules , 1981 .

[180]  A. Saupe Kernresonanzen in kristallinen Flüssigkeiten und in kristallinflüssigen Lösungen. Teil I , 1964 .

[181]  Rudolf Rigler,et al.  Polarized fluorescence and rotational brownian motion , 1972 .

[182]  G. Fleming,et al.  Internal dynamics and overall motion of lysozyme studied by fluorescence depolarization of the eosin lysozyme complex. , 1983, Journal of biomolecular structure & dynamics.

[183]  Th. Förster Fluoreszenz organischer Verbindungen , 1951 .

[184]  G. Belford,et al.  Dynamics of fluorescence polarization in macromolecules. , 1972, Proceedings of the National Academy of Sciences of the United States of America.

[185]  J. Lakowicz,et al.  Demonstration of an associated anisotropy decay by frequency-domain fluorometry. , 1987, Biophysical chemistry.

[186]  H. Benoǐt Contribution à l’étude de l’effet Kerr présenté par les solutions diluées de macromolécules rigides , 1951 .

[187]  K. Eisenthal,et al.  Studies of effects of hydrogen bonding on orientational relaxation using picosecond light pulses , 1971 .

[188]  H. Labhart,et al.  Anisotrophy of rotational diffusion of excited molecules in solution , 1973 .

[189]  J. Yguerabide,et al.  Nanosecond fluorescence spectroscopy of macromolecules. , 1972, Methods in enzymology.

[190]  S. D. Groot,et al.  Thermodynamics of Irreversible Processes , 2018, Principles of Thermodynamics.

[191]  G. Weber Polarization of the fluorescence of labelled protein molecules , 1953 .

[192]  J. Czekalla Elektrische Fluoreszenzpolarisation: Die Bestimmung von Dipolmomenten angeregter Moleküle aus dem Polarisationsgrad der Fluoreszenz in starken elektrischen Feldern , 1960, Zeitschrift für Elektrochemie, Berichte der Bunsengesellschaft für physikalische Chemie.

[193]  T. Bopp Magnetic Resonance Studies of Anisotropic Molecular Rotation in Liquid Acetonitrile‐d3 , 1967 .

[194]  P. E. Zinsli,et al.  Anisotropic rotation and libration of perylene in paraffin , 1977 .

[195]  W. Winter Die Molekiilstruktur von 11-Oxo-1.11-diphenyl-dibenzo [b.g] -indeno [2.3-d] -11.15 b-dihydrophosphocin / The Molecular Structure of / 11-Oxo-1,11-diphenyl-dibenzo[b,g]-indeno[2,3-d]-11,15 b-dihydrophosphocin , 1977 .

[196]  E. Gratton,et al.  A continuously variable frequency cross-correlation phase fluorometer with picosecond resolution. , 1983, Biophysical journal.

[197]  M. R. Topp,et al.  Low quantum-yield molecular fluorescence: excitation energy dependence and fluorescence polarisation in xanthene dyes , 1977 .

[198]  A. Acrivos,et al.  Rotational friction coefficients for ellipsoids and chemical molecules with the slip boundary condition , 1975 .

[199]  U. Klein,et al.  Picosecond time dependent rotational diffusion of rhodamine 6G in micellar solution , 1978 .