Preface
The Jablonski Centennial Conference on Luminescence and Photophysics
was held on the campus of Nicholas Copernicus University in Torun (Poland)
from July 23rd to July 27th, 1998 to commemorate the 100th anniversary
of the birth of Aleksander Jablonski (1898-1980), one of the pioneers
of molecular photophysics.
The Conference program covered a wide range of subjects emphasizing the
physical processes associated with luminescence phenomena in liquids,
vapors, and bulk solids. The topics included photoluminescence in liquids
and solids, spectroscopy of excited states, excitation energy transfer,
polarization of luminescence, ultrafast and coherent processes, photophysical
effects, and biophysical applications.
The Conference was attended by 220 scientists and 33 accompanying persons
from 28 countries. Its format included 13 Invited Plenary Lectures,
210 contributed papers presented in two Poster Sessions and three Panel Discussions
initiated by the Keynote Lectures. The list of invited talks and
chairmen of the panel discussions were suggested by the International
Program Committee, with particular emphasis on newly emerging results and
techniques.
On July 26th the important event took place, when the annual International
Jablonski Award was given to Professor Michael Kasha. The Award conceived
in commemoration of Professor Aleksander Jablonski, recognizes
the outstanding fundamental accomplishments in fluorescence spectroscopy
On July 27th, Professor Michael Kasha delivered a special Award Lecture.
These Proceedings contain the full-length text of 10 invited lectures
and one of the Keynote Lectures for the Panel Discussions. Some of the papers
presented during the Poster Sessions will be published in a special
issue of the Journal of Fluorescence and in several forthcoming issues
of Acta Physica Polonica A.
We would like to thank many people who helped in organizing the Conference,
especially the members of the International Programme Committee, Local
Organizing Committee and the members of the staff of the Institute of
Physics of Nicholas Copernicus University who were involved in the organization
of the Conference. Special thanks are due to the invited speakers and chairmen
of Panel Discussions for their unique contributions to the
success of the meeting and for their cooperation in completing these Proceedings.
J.S. Kwiatkowski
J. Prochorow
ALEKSANDER JABLONSKI (1898-1980)
Proofessor Aleksander Jablonski, the founder of physical researches
at Nicholas Copernicus University at Torun, was born on February 26th,
1898 in Voskresenovka, Ukraine, which at that time was a part of Russia.
In 1916 he entered the University of Kharkov to study physics. His study
at Kharkov was interrupted by his military service first in Russia and
later, during World War I in the newly organized Polish Army.
At the end of 1918, when Poland was recreated after more than 120 years
of occupation by neighbouring powers, Jablonski left Kharkov and arrived
in Warsaw, where he entered Warsaw University to continue his study
of physics. His study at Warsaw was again interrupted in 1920 by his military
service during the Polish-Bolshevik war.
As enthusiastic musician, Jablonski played the first violin at the
Warsaw Opera from 1921 to 1926, in parallel with his studies at the University
under Stefan Pienkowski for his doctorate, which he received in 1930 with
a thesis On the influence of the wavelength of excitation light on the
fluorescence spectra. Although Jablonski left Opera in 1926
and devoted himself entirely to scientific work, music remained his great
passion until the last days of his life.
After receiving his doctorate, Jablonski spent two years (1930-1931)
as a fellow of the Rockefeller Foundation in Germany working first with
Peter Pringsheim in Berlin at the Physikalisches Institut der Universitat
and later with Otto Stern in Hamburg. In 1934 he acquired his habilitation
from Warsaw University with the thesis On the influence of in
termolecular interactions on the absorption and emission of light.
Throughout the 1920s and 30s the Department of Experimental Physics at
Warsaw University was an active centre for studies on luminescence, under
S. Pienkowski. During most of this period Jablonski worked both theoretically
and experimentally on fundamental problems of photoluminescence of liquid
solutions as well as on the pressure effects on atomic spectral lines in gases.
His early work at Warsaw included measurements of absorption spectra
of liquid solutions and the experimental proof that in typical cases in the
fluorescence spectra the intensity distribution is independent of the
wavelength of the exciting light. He introduced then the concept of a
luminescent centre, i.e., the system composed of the excited molecule
and its closest neighbourhood. Using the Franck-Condon principle generalized
to such centres, Jablonski explained the main features of the fluorescence
phenomena in liquid solutions. In 1933 he suggested the famous diagram,
commonly known under his name, which makes it possible to explain
both the kinetics and the spectra of fluorescence, phosphorescence, and
delayed fluorescence. In this diagram, which now serves as the starting point
of all modern textbooks on photochemistry, a very essential role is
played by a metastable state later identified as the triplet state by
G.N. Lewis and M. Kasha and independently by A.N. Terenin. This identification
was finally shown to be correct in experiments done by C.A. Hutchison,
B.W. Mangun, J.H. Van der Waals, and M.S. de Groot in the late 1950s who
used the electron paramagnetic resonance techniques.
The problem that intrigued Jablonski for many years was the polarization
of photoluminescence of solutions. To explain the experimental facts he
distinguished the transition moments in absorption and in emission and
analyzed various factors responsible for the depolarization of luminescence.
In 1934 Jablonski proposed a method for the orientation of molecules in
anisotropic matrices which serves now as an important tool in studies of
linear dichroism and polarization caused by oriented molecules. In particular,
this method is now widely applied in biophysical investigat ions.
In 1931 Jablonski started to work in his second main field of resea
rch, namely the collisional broadening and shift of atomic spectral lines.
In that year as the very first person he recognised the analogy between
the pressure broadening phenomena and the production of molecular spectra.
This analogy was the starting point of the quantum-mechanical pressure
broadening theory developed by him in the late 1930s and early 1940s.
The Jablonski theory is based on two assumptions:
(1) the validity of the Born-Oppenheimer approximation for the wave functions
of the quasimolecule formed by the radiating and perturbing atoms during
a collision, and (2) the Franck-Condon principle in its quantum-mechanical
formulation. Starting from these two assumptions Jablonski has derived from
quantum mechanics the quasistatic expression for the intensity
distribution in far wings of spectral lines derived earlier on classical
ground by H. Holtsmark, H.G. Kuhn and H. Margenau.
In April 1938 Jablonski accepted a faculty appointment at the Stefan
Batory University at Wilno (Vilnius), where he developed experimental studies
of pressure broadening of atomic spectral lines. In particular, he
initiated there the pioneering investigations of the temperature dependence
of widths of pressure broadened spectral lines. These studies, whose
first results were published by him and H. Horodniczy in two communications
in Nature, were interrupted by the outbreak of World War II on September 1st,
1939 when Poland became attacked from the West and the North by the Nazi Germany.
Being again in the military service Jablonski went through the Polish-German
September campaign. On September 17, 1939 when due to the Ribbentrop-Molotov
agreement Poland was attacked from the East by the Soviet Army, Jab/lo/nski
with his military unit crossed the Polish-Lithuanian border and was sent by
Lithuanian authorities to an internment camp. At the end of 1939 he was released
from the camp and came back to Vilnius. In the meantime Lithuania became occupied
by the Soviet Union and in July 1940 Jablonski was arrested by the Soviet
authorities and sent to Kozielsk, a camp in which a few months earlier several
thousan ds of Polish Army officers were confined until April 1940 when they were
all murdered by the Soviets in a nearby Katyn forest. In June 1941 after
the attack of the Nazi Germany against the Soviet Union Jablonski was
conveyed from Kozielsk to another internment camp in Griazowiec from where
he was eventually released to join the Polish Army organized by the Polish
government in exile in the Soviet territory. Together with the Polish
Army he left the Soviet Union and then through the Middle East he finally
arrived in the summer of 1943 in Great Britain. Being on leave from the
army he became a lecturer of physics at the Polish School of Medicine at
Edinburgh in Scotland until the end of the war.
In Scotland he returned to the scientific work and devoted his attention
to the further extension of his earlier theory of pressure broadening
of spectral lines. The most general form of this theory developed at Edinburgh
was published in his well-known paper in Physical Review in 1945.
In Scotland Jablonski met Max Born and attended Born's Physical Colloquia
at the University of Edinburgh where he delivered seminars on the theory
of spectral line shapes.
After the war in November 1945 Jablonski returned to Poland and started
to work again at the Department of Physics of Warsaw University under Prof.
Stefan Pienkowski. Soon, however, he moved to Torun, where in the fall of
1945 a new University bearing the name of Nicholas Copernicus,
who had been born in that town, was established by the professors of the
former Stefan Batory University who had to leave Vilnius. For many years
it was the only university in Northern Poland. On January 1st, 1946 Jablonski
was nominated as the full professor of Copernicus University and his first
historic lecture for students of science at Torun took place on February 17th,
1946. This date is considered at Torun as the beginning of physics at
Copernicus University. Despite all post-war difficulties Jablonski with great
energy started to organize at Torun a scientific centre for studies in atomic
and molecular physics. First of all, he started to design a building for the
Physics Department, which was finally setup at the Grudziadzka street in 1951.
Since that year the experimental studies in physics at Torun could be performed.
As the chairman of Physics Department from its very beginning in 1946
to his retirement in 1968 Jablonski created a modern laboratory at Torun in
which he developed his own field of research in atomic and molecular optics
as well as he helped to initiate researches in other fields such as those in
solid state physics, in particular magnetic resonance studies of carbon materials.
In 1950s Jablonski developed the theory of concentration quenching
and depolarization of photoluminescence. This theory was used as a basis
for the interpretation of many experiments performed at Torun by his
co-workers in the late 1950s and early 1960s. At that time Jablonski intro
duced instead of the degree of polarization another quantity, called by
him emission anisotropy which is now generally preferred and recommended.
Even after his retirement Jablonski continued his work and gave inspiration to
all his co-workers and pupils at Copernicus University. In 1972 he generalized
his earlier theory of the concentrational depolarization of fluorescence of dye
solutions caused by the energy migration between luminescent molecules.
Professor Aleksander Jablonski died on September 9th, 1980. The stimulus he
has provided and is still providing also now after his death to all his co-workers
and pupils can hardly be overestimated. For all of them and for many atomic and
molecular physicists and photochemists in Poland and around the world Professor
Aleksander Jablonski holds a special place. His papers, his enthusiasm, and strength
of character have led many of them to do more by following his example. Many of his
former students in Torun and in other scientific centres continue and extend his work
in the field of luminescence, photophysics and photochemistry, biophysics, chemical
physics, and atomic and molecular spectroscopy.
Jozef Szudy
OPENING LECTURE
FROM JABLONSKI TO FEMTOSECONDS. EVOLUTION OF MOLECULAR PHOTOPHYSICS
M. KashaInstitute of Molecular Biophysics, Florida State University
451 MBB-4380, Tallahassee FL 32306-4380, U.S.A.
A presentation is given, with retrospective commentary, on the experimental
and theoretical contributions to key steps in the evolution of the framework of
contemporary molecular photophysics from the Jablonski Diagram to femtosecond range
excitation phenomena. The distinctive features of polyatomic molecules separating
their behavior from atomic and diatomic molecules are emphasized. Justification is
given for the statement that spin-orbital coupling with its relativistic component
commonly dominates the molecular excitation dynamics of light-(low-Z)-atom molecules.
The paper deals with single-photon, single-molecule excitations. Some examples of
single-photon, multi-molecule and multi-photon, single-molecule excitation phenomena
are listed. A selection of these is made to illustrate the prevalence of femtosecond
excitation modes. PACS numbers: 33.50.-j, 33.50.Dq
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RECENT DEVELOPMENTS IN ULTRAFAST TIME-RESOLVED VIBRATIONAL SPECTROSCOPY
OF ELECTRONICALLY EXCITED STATES
H. HamaguchiDepartment of Chemistry, School of Science, The University
of Tokyo 7-3-1 Hongo, Tokyo 113-0033, Japan
Developments of three new time-resolved vibrational spectroscopies and their
applications to electronically excited states are reviewed. Transformlimited picosecond
time-resolved Raman spectroscopy has been used to study the vibrational dynamics of
trans-stilbene in the lowest excited singlet state. Picosecond time-frequency
two-dimensional multiplex Coherent Antistokes Raman Scattering spectroscopy has been
used to probe the structure of diphenylacetylene in the lowest and the second lowest
excited singlet states. Nanosecond time-resolved dispersive infrared spectroscopy has
detected the singlet and triplet intramolecular charge transfer states
of 4-(di-methylamino)benzonitrile. Strong evidence for a charge transfer structure
has been obtained. PACS numbers: 39.30.+w, 42.65.Dr
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LIGHT-INDUCED TAUTOMERIZATION IN PORPHYRIN ISOMERS
J. WalukInstitute of Physical Chemistry, Polish Academy of Sciences
Kasprzaka 44/52, 01-224 Warsaw, Poland
Double proton tautomerization occurring in porphyrin and its structural isomers
represents a special case of a chemical transformation in which the substrate and the
product are form ally the same. The methods used for the investigation of this kind
of processes are based on polarized spectroscopy and high-resolution techniques,
such as matrix isolation. Their combined use results in obtaining information
pertinent to the mechanism of proton transfer, regarding e.g., the values of proton
transfer rates, structure of the tautomeric forms or the shape of the potential energy
surfaces. In addition, these procedures provide a way of obtaining spectral,
photophysical and structural data that would be otherwise difficult to gain.
The examples include determination of transition moment directions, assignment of
electronic and vibrational states, elucidation of the character of the substitutional
replacement of the rare gas matrix atoms by the chromophore, and the analysis of the
nature of the symmetry lowering due to the matrix
cage. PACS numbers: 33.20.-t, 33.50.-j, 78.55.-m, 78.60.-b
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THE LIGHT HARVESTING PROCESS IN PURPLE BACTERIA
B.P. Krueger, G.D. Scholes, J.-Y. Yu and G.R. FlemingDepartment of Chemistry,
University of California at Berkeley and Physical Biosciences Division, Lawrence
Berkeley National Laboratory, Berkeley, CA 94720-1460 U.S.A.
We present and review the results of fluorescence upconversion and photon
echo experiments, and $ab initio$ calculations performed in our group within the
last few years with respect to the light harvesting process in purple bacteria.
Carotenoids transfer energy to bacteriochlorophyll (BChl)
mainly via the carotenoid S2 -> BChl Qx
pathway on a ~100 fs timescale. This transfer is reasonably reproduced by considering
the Coulombic coupling calculated using the transition density cube method which
is valid at all molecular separations. Carotenoids may also serve a role in
mediating B800 -> B850 energy transfer in LH2 by perturbing the transition
density of the B850 as shown by ab initio calculations on a supermolecule of
two B850 BChls, one carotenoid and one B800 BChl. Further calculations on dimers of
B850 BChl estimate the intra- and interpolypeptide coupling to be 315 and
245 cm-1, respectively. These interactions are dominated by Coulombic
coupling, while the orbital overlap dependent coupling is ~20% of the total.
Photon echo peak shift experiments (3PEPS) on LH1 and the B820 subunit are
quantitatively simulated with identical parameters aside from an energy transfer
time of 90 fs in LH1 and \infty in B820, suggesting that excitation is
delocalized over roughly two pigments in LH1. 3PEPS data taken at room and low
temperature (34 K) on the B800-B820 suggest that static disorder is the dominant
mechanism localizing excitation in LH1 and LH2. We suggest that the competition
between the delocalizing effects of strong electronic coupling and the localizing
effects of disorder and nuclear motion results in excitation in the B850 and B875
rings being localized on 2-4 pigments within approximately
60 fs. PACS numbers: 87.15.Mi, 82.20.Rp, 42.50.Md
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EXCITED-STATE EQUILIBRATION AND THE FLUORESCENCE-ABSORPTION RATIO
R.S. KnoxDepartment of Physics and Astronomy and Rochester Theory Center
for Optical Sciences and Engineering, University of Rochester Rochester, NY
14627-0171 USA
In any complex system at temperature T the absorption cross-section
and fluorescent power at a given photon energy are connected by a simple relation
if the system is in thermal equilibrium while occupying one particular electronic
excited state. Although this situation is impossible in principle because of finite
excited-state lifetimes, it is often approximated to the extent that the simple relation,
which is expressed as a linear function of energy with slope -1/kBT, holds in
a variety of cases. (The usual symbols for Boltzmann's constant and absolute temperature
are used.) Observed deviations are of two principal kinds: a slope characteristic of some
temperature T* other than ambient, and departures from a single pure straight
line. The latter may include seemingly random variations and in some cases multiple
regions of straight-line behavior. We have recently introduced an effective temperature
T*(E), derived from the actual local slope of the putative straight line at
energy E, which turns out to be a very sensitive detector of deviations from the
ideal and, we believe, from equilibrium in the excited state. Plots of T*(E)
display a variety of features. An anomaly in the T*(E) spectrum of chlorophyll
a can be analyzed on this model, indicating a second weakly fluorescent state about
70 meV below the well-known Qy band. The cases of chlorophyll and many
others are included in a selective review of applications of the universal relation to
fluorescent systems. PACS numbers: 42.50.Md, 33.70.Jg, 32.50.+d, 31.70.Hq
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ULTRAFAST ENERGY RELAXATION AND EXCITATION DELOCALIZATION IN EXCITED STATES
OF ZINC PORPHYRIN DIMERS AND TRIMER
I. Yamazaki, S. Akimoto, T. Yamazaki Graduate School of Molecular Chemistry,
Faculty of Engineering, Hokkaido University Sapporo 060-8628, Japan
H. Shiratori and A. OsukaGraduate School of Chemistry, Kyoto University,
Sakyo-ku, Kyoto 606-8224, Japan
Ultrafast excited-state relaxation process
has been studied with zinc porphyrin dimers and circular trimer. Following 80 fs
excitation at Soret band (420 nm) or Q band (580 nm) of zinc porphyrin, the
fluorescence decay curves exhibit ultrafast decays with lifetimes of 80 fs in
o-dimer, 450 fs in trimer and 540 fs in m-dimer. The timeresolved
fluorescence spectra show that the fast decay process correspond to disappearance
of monomer-like emission followed by red-shifted and broaden spectra. These ultrafast
processes are assigned as due to excitation transfer among monomers and delocalization
of excitation yielding excitonic states. PACS numbers: 31.50.+w, 78.47.+p
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PHOTOINDUCED ELECTRON TRANSFER IN JET COOLED MOLECULAR COMPLEXES
F. Piuzzia, D. Uridata,
I. Dimicolia, M. Monsa,
A. Tramerb, K. LeBarbub, F. Lahmanib
and A. Zehnacker-Rentienba CEA-CEN Saclay, DRECAM,
SPAM, Bat 522, 91191, Gif sur Yvette Cedex, France
b Laboratoire de Photophysique Moleculaire du CNRS Bat 213,
Universite de Paris Sud, 91405 Orsay, France
Exciplex and excimer formation have been probed in several jet cooled
complexes using mass selective two-photon ionisation and fluorescence excitation
spectroscopy as well as ground state depletion spectroscopy (hole burning):
(i) In the anthracene-dimethyl-ortho-toluidine system, it has been found
that the ionisation step takes place with a much higher efficiency from the charge
transfer state responsible for the exciplex emission than from the locally excited
state giving rise to the resonant fluorescence. (ii) The dimer, trimer, and higher
clusters of anthracene all show only excimer emission.
When compared to the dimer, the trimer exhibits a peculiar behaviour (structured
fluorescence excitation and hole burning spectra, short lifetime and low ionisation
efficiency) which has been related to a significant locally excited character of
the initially prepared state of the species excited state. (iii) The influence of
an intermolecular hydrogen bond on the electron transfer process has been studied
in the 2,2,2-trifluoro-1-(9-anthryl)ethanol- dimethylaniline system. A threshold
for exciplex formation higher than in the case of the anthracene-dimethylaniline
complex is observed. PACS numbers: 31.50.+w, 32.30.-r, 33.15.-e, 33.20.-t
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PHYSICS OF STIMULATED EMISSION IN BLUE SEMICONDUCTOR LASERS
A.V. NurmikkoDivision of Engineering and Department of Physics Brown
University, Providence RI 02912, USA
In this article an overview is given about the special properties of the new
blue and green semiconductor lasers, with emphasis on those basic processes that
power the stimulated emission in these compact devices. Of special interest are
the strong electron-hole Coulomb correlations which can be spectroscopically
identified as unique features in quantum wells of wide band gap
semiconductors. PACS numbers: 42.55.Px, 42.55.Sa, 71.55.Eq
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RECENT DEVELOPMENTS IN InGaN-BASED BLUE LEDS AND LDS
S. NakamuraDepartment of Research and Development, Nichia Chemical
Industries, Ltd. 491 Oka, Kaminaka, Anan, Tokushima 774, Japan
UV/blue/green/amber InGaN quantum-well structure light-emitting
diodes with an external quantum efficiency of 7.5%, 11.2%, 11.6%, and 3.3%
were developed. The localization in the InGaN well layer induced by the In
composition fluctuations seems to be a key role of the high efficiency of
those InGaN-based light-emitting diodes. When the electrons and holes are
injected into the InGaN active layer of the light-emitting diodes, these
carriers are captured by the localized energy states before they are captured
by the nonradiative recombination centers caused by the large number of threading
dislocations. InGaN multi-quantum-well structure laser diodes with modulation
doped strained-layer superlattice cladding layers grown on the epitaxially
lateral overgrown GaN substrate were demonstrated to have an estimated lifetime
of more than 10000 hours under room temperature continuouswave operation. When
the laser diode was formed on the GaN layer above the SiO$_2$ mask region without
any threading dislodations, the threshold current density was as low as
2.7 kA cm-2. When the laser diode was formed on the window region with
the high threading dislocation density, the threshold current density was as high
as 4.5 to 9 kA cm-2. A leakage current due to a large number of threading
dislocations caused the high threshold current density on the window
region. PACS numbers: 68. 55.Ce, 72.80.Ey, 73.60.Br, 71.55.Eq
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SOME ASPECTS OF SOLID STATE RADIOLUMINESCENCE
A.J. WojtowiczInstitute of Physics, N. Copernicus University,
Grudziadzka 5, 87-100 Torun, Poland and Boston University, Chemistry Department
590 Commonwealth Ave., Boston, MA 02215, USA
In this paper we review results of radioluminescence studies on two scintillator
materials, LuAlO3 and YAlO3, activated with Ce. The experiments
include measurements of ther moluminescence, isothermal phosphorescence decays,
scintillation light yield as function of temperature, and scintillation time profiles
under gamma excitation. Experimental results are interpreted in the frame of a simple
kinetic model that includes a number of electron traps. We have identified and
characterized a number of deep and shallow traps and demonstrated that traps in
LuAlO3:Ce are deeper than corresponding traps in YAlO3:Ce. Unlike
deep traps which are responsible for some scintillation light loss but otherwise do not
have any impact on generation of scintillation light, shallow traps are shown to actively
interfere with the process of radiative recombination via Ce ions. We demonstrate that
shallow traps are responsible for some as yet unexplained observations including a higher
room temperature light yield of YAlO3:Ce and its longer scintillation decay
time, as well as a longer scintillation rise time in
LuAlO3:Ce. PACS numbers: 78.60.Ya, 78.30.Hv, 78.60.Kn, 29.40.Mc
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ADVANCES IN FLUORESCENCE SPECTROSCOPY: MULTI-PHOTON EXCITATION, ENGINEERED PROTEINS,
MODULATION SENSING AND MICROSECOND RHENIUM METALLIG AND COMPLEXES
J.R. Lakowicza, I. Gryczynskia, L. Tolosaa,
J.D. Dattelbauma, F.N. Castellanoa, L. Lia and
G. Raoba University of Maryland, School of Medicine 725
West Lombard Street, Baltimore, Maryland 21201, USA
b Medical Biotechnology Center, Department of Chemical and Biochemical
Engineering 725 West Lombard Street, Baltimore, Maryland 21201, USA
The technology and applications of fluorescence spectroscopy are rapidly advancing.
In this overview presentation we summarize some recent developments from this laboratory.
Two and three-photon excitation have been observed for a wide variety of intrinsic and
extrinsic fluorophores, including tryptophan, tyrosine, DNA stains, membrane probes,
and even alkanes. It has been possible to observe multi-photon excitation of biopolymers
without obvious photochemical or photo-thermal effects. Although not described in our
lecture, another area of increasing interest is the use of engineered proteins for chemical
and clinical sensing. We show results for the glucose-galactose binding protein from
E. coli. The labeled protein shows spectral changes in response to micromolar
concentrations of glucose. This protein was used with a novel sensing method based on the
modulated emission of the labeled proteins and a long lifetime reference fluorophore.
And finally, we describe a recently developed rhenium complex which displays a lifetime
near 3µs in oxygenated aqueous solution. Such long lifetime probes allow detection
of microsecond dynamic processes, bypassing the usual nanosecond timescale limit
of fluorescence. The result of these developments in protein engineering, sensing
methods, and metal-ligand probe chemistry will be the increased use of fluorescence
in clinical chemistry and point-of-care
analyses. PACS numbers: 34.50.Gb, 87.64.-t, 87.64.Ni
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