Upload
jasper-j
View
212
Download
0
Embed Size (px)
Citation preview
Subscriber access provided by the Library Service | University of Stellenbosch
The Journal of Physical Chemistry B is published by the American Chemical Society.1155 Sixteenth Street N.W., Washington, DC 20036Published by American Chemical Society. Copyright © American Chemical Society.However, no copyright claim is made to original U.S. Government works, or worksproduced by employees of any Commonwealth realm Crown government in the courseof their duties.
Article
Photoisomerisation and Proton Transfer in the Forwardand Reverse Photoswitching of the Fast-SwitchingM159T Mutant of the Dronpa Fluorescent Protein
Marius Kaucikas, Martijn Tros, and Jasper J. van ThorJ. Phys. Chem. B, Just Accepted Manuscript • Publication Date (Web): 04 Nov 2014
Downloaded from http://pubs.acs.org on November 5, 2014
Just Accepted
“Just Accepted” manuscripts have been peer-reviewed and accepted for publication. They are postedonline prior to technical editing, formatting for publication and author proofing. The American ChemicalSociety provides “Just Accepted” as a free service to the research community to expedite thedissemination of scientific material as soon as possible after acceptance. “Just Accepted” manuscriptsappear in full in PDF format accompanied by an HTML abstract. “Just Accepted” manuscripts have beenfully peer reviewed, but should not be considered the official version of record. They are accessible to allreaders and citable by the Digital Object Identifier (DOI®). “Just Accepted” is an optional service offeredto authors. Therefore, the “Just Accepted” Web site may not include all articles that will be publishedin the journal. After a manuscript is technically edited and formatted, it will be removed from the “JustAccepted” Web site and published as an ASAP article. Note that technical editing may introduce minorchanges to the manuscript text and/or graphics which could affect content, and all legal disclaimersand ethical guidelines that apply to the journal pertain. ACS cannot be held responsible for errorsor consequences arising from the use of information contained in these “Just Accepted” manuscripts.
1
Photoisomerisation and Proton Transfer in the
Forward and Reverse Photoswitching of the
Fast-Switching M159T Mutant of the Dronpa
Fluorescent Protein
Marius Kaucikas, Martijn Tros†, Jasper J. van Thor*
Imperial College London, South Kensington Campus, SW7 2AZ London, United
Kingdom,
†University of Amsterdam, Faculteit der Natuurwetenschappen, Wiskunde en
Informatica (FNWI), Science Park 904, 1098 XH Amsterdam, The Netherlands
*To whom correspondence should be addressed: email [email protected]
KEYWORDS: Dronpa, fluorescent protein, ultrafast infrared spectroscopy, TR-IR,
photoisomerisation, proton transfer, photoswitching
Page 1 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
2
ABSTRACT
The fast-switching M159T mutant of the reversibly photoswitchable fluorescent
protein Dronpa has an enhanced yield for the on-to-off reaction. The forward and
reverse photoreactions proceed via cis-trans and trans-cis photoisomerisation, yet
protonation and deprotonation of the hydroxyphenyl oxygen of the chromophore is
responsible for the majority of the resulting spectroscopic contrast. Ultrafast visible-
pump, infrared-probe spectroscopy was used to detect the picosecond, nanosecond as
well as metastable millisecond intermediates. Additionally, static FTIR difference
measurements of the Dronpa-M159T mutant correspond very closely to those of the
wild type Dronpa, identifying the p-hydroxybenzylidene-imidazolinone chromophore
in the cis anion and trans neutral forms in the bright ‘on’ and dark ‘off’ states,
respectively. Green excitation of the on state is followed by dominant radiative decay
with characteristic time constants of 1.9 ps, 185ps and 1.1ns, and additionally reveals
spectral changes belonging to the species decaying with a 1.1 ns time constant,
associated with both protein and chromophore modes. A 1 ms measurement of the on
state identifies bleach features which correspond to those seen in the static off-minus-
on FTIR difference spectrum, indicating that thermal protonation of the
hydroxyphenyl oxygen proceeds within this time window. Blue excitation of the off
state directly resolves the formation of the primary photoproduct with 0.6 and 14 ps
time constants, which is stable on the nanosecond time scale. Assignment of the
primary photoproduct to the cis neutral chromophore in the electronic ground state is
supported from the frequency positions expected relative to those for the non-planar
distorted geometry for the off state. A 1 ms measurement of the off state corresponds
Page 2 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
3
closely with the on-minus-off FTIR difference spectrum, indicating thermal
deprotonation and rearrangement of the Arg66 sidechain to be complete.
1. Introduction
The ‘Dronpa’ protein from the coral Pectiniidae 1 is one of the most commonly used
reversibly photoconvertable fluorescent proteins. The p-hydroxybenzylidene-
imidazolinone chromophore of Dronpa is derived from the Cys-Tyr-Gly tripeptide
and is present in a cis conformation in the ‘On’ state 2,3
, as in the Aequorea victoria
Green Fluorescent Protein (avGFP) 4,5
. The X-ray structures of the highly fluorescent
‘On’ state were reported by Stiel et al 2
and Wilmann et al 3. Andresen et al
6 were
able to photoaccumulate and cryo-trap a partially occupied off structure, which
supported the trans configuration of the chromophore in the blue-absorbing off state
(λmax = 390 nm for both Dronpa and M159T-Dronpa). In addition to cis-trans
photoisomerisation, the most notable difference included the reorientation of the side
chains of Arg 66 and His 193 6. The blue-shifted absorption maximum at 390nm
indicates protonation of the hydroxyphenyl oxygen in the off state. In addition to
these local structural differences, NMR spectroscopy indicated significant differences
with the on state structure of a number of other residues from 1H-
15N heteronuclear
single-quantum coherence (HSQC) spectra 7. Specifically, chemical shift differences
were seen for seven residues Gly36 (β3), Cys62(β3), Met93(central helix),
Ala160(β8), Cys171(β9), Asp172(β9), Phe173(β9). In addition, 25 further residues
were not observed in the off state due to exchange broadening in the intermediate
regime, indicating substantial structural fluctuations affecting sites in the
Page 3 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
4
β4, β7, β8, β10 and β11 strands7. It is therefore clear that on-off photoswitching
globally affects the equilibrium structure as well as the magnitude and frequencies of
structural fluctuations, which are roughly localized to one half of the protein,
contained within the A-C dimmer interface7. Interestingly, the dimerisation binding
constants are additionally affected and have been exploited for optogenetics
experiments 8.
Several fast-switching mutants have been reported for Dronpa, particularly improving
on the low photochemical quantum yield of on-off switching, which was estimated to
be 3.2*10-4
for the wild type Dronpa1,9
. One of those mutants, Dronpa-M159T, was
selected for showing both an increased quantum yield for on-off photoswitching as
well as for the off-on reaction 2. Stiel et al report a 1143-fold increase of the rate of
the on-off reaction at room temperature for the M159T mutant, implying an absolute
quantum yield of 0.37 based on the 3.2*10-4
value for the wild type 1,2,9
. In addition,
the off-on reaction was found to have increased 2-fold, suggesting a quantum yield of
0.72 relative to the 0.36 value given for the wild type 9.
The fundamental mechanisms and sequence of events were investigated previously
for the reversible photoswitching reactions of the wild type Dronpa fluorescent
protein using visible-pump infrared-probe spectroscopy 10
. Previous proposals for the
off-on switching invoked excited state proton transfer (ESPT) in addition to trans-cis
photoisomerisation 9,11,12
. Furthermore, others proposed a twisted intramolecular
charge transfer state in the photoisomerisation reaction, favoring a mechanism that
included a concerted excited state proton transfer and trans-cis photoisomerisation
process 13
. Additionally, in the very similar asFP595 reversible photoswitchable
fluorescent protein from the sea anemone Anemonia sulcata (which has a Met-Tyr-
Gly derived chromophore) it was proposed that the chromophore is present as a
Page 4 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
5
zwitterion in the trans form and that excited state proton transfer proceeds from the
imidazolinone nitrogen 14,15
. FTIR difference spectroscopy identified the on and off
states as the cis anion and the trans neutral chromophore, respectively 10
. Considering
the high structural and spectroscopic similarities with Dronpa, these assignments
could possibly also apply to the asFP595 on and off states.
Blue excitation of the photoaccumulated off state results in a dominant 9ps
excited state decay component, with formation of a primary photoproduct that was
assigned to the cis neutral chromophore on the basis of TR-IR measurements 10
. The
9 ps time constant, measured in 2H2O at pD 7.8, was also in agreement with
fluorescence measurements, which gave a 14 ps time constant in 1H2O at pH 7.4 with
excitation at 390nm and detection at 440 nm 9. The IR difference spectrum of the
primary photoproduct prominently lacks phenolate modes, thus excluding the
possibility of excited state proton transfer, and was stable up to 100ps of the delays
reported 10
. A recent study reported TR-IR measurements of the off state of the
M159T mutant of Dronpa and came to very different conclusions 16
. Firstly, Lukacs et
al assign the primary photoproduct to an electronic ground state of the trans neutral
chromophore. Second, pump-probe delays beyond 100ps showed an additional phase
with a 459ps time constant and spectral features which were assigned to a relaxation
process. Lukacs et al proposed ground state trans-cis isomerisation to follow the
primary photoproduct thermally on longer time scales, eventually forming the on
state. This interpretation relied on the apparent absence of a frequency upshift for the
C=O stretching mode in the infrared spectrum of the primary photoproduct, which
was expected to result from trans-cis isomeristion 16
.
Due to the very low quantum yield of on-to-off switching in the wild type
Dronpa, green excitation resulted in observation of radiative decay only, as the
Page 5 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
6
amplitude of the photoproduct is too small to be resolved within the available signal
to noise of the TR-IR measurements. However, the excited state vibrational response
was found to include transient absorption features belonging to protein groups, which
were proposed to belong to Arg66 10
. The suggested quantum yield of 0.37 for the
M159T mutant 2 would certainly allow the photoproduct to be resolved, at least on
nanosecond time scale as the product of excited state decay. However, a recent TR-IR
study of the M159T mutant reported only three decay time constants 3ps, 30ps and
300ps with decay associated spectra which represent only radiative decay processes
16.
Here, we present a TR-IR, FTIR and DFT study of the fast switching M159T
mutant of Dronpa, which additionally addresses both the experimental differences as
well as the different assignments made by Lukacs et al. 16
relative to the previously
reported study of the wild type Dronpa 10
. Comparison with wild type Dronpa
measurements should reveal if the fundamental processes are conserved after the
M159T mutation. A number of observations were made that differ from to the
previous M159T TR-IR study16
, in addition to new data revealing intermediate
products of the on and off states. Firstly, TR-IR measurements of the on state with
extended delays reveal spectral evolution occurring with a 185ps rise time and a 1.1
ns decay time constant, signaling modification of the excited state geometry but may
have contributions of induced absorption belonging to the primary photoproduct.
Second, negative pump-probe time delays of the on state reveals the intermediate
product spectrum at 1 ms which clearly signals protonation of the chromophore,
confirming a previous proposal for the wild type Dronpa which was primarily based
on the absence of anionic phenolate modes on picosecond time scale10
, while in this
study we were able to directly reveal the millisecond time resolved protonated
Page 6 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
7
reaction product. Third, Singular Value Decomposition (SVD) of TR-IR of the off
state provides statistical significance for the conclusion that the data collected at 1
KHz repetition rate can not support a 500 ps time constant from our measurements, in
contrast to those reported by Lukacs et al. 16
, possibly due to the transient background
difference at 10KHz and 1 KHz pump-probe repetition rate. Fourth, a 1 ms
measurement of the off state agrees closely with the static FTIR on-minus-off
difference spectrum, showing that deprotonation and structural rearrangements are
completed in this time interval. Finally, the assignment of the primary photoproduct
of the off state is addressed in view of the distorted chromophore geometry, using
redundant coordinates for geometry optimization and frequency calculation using
Density Functional Theory (DFT). These calculations indicate that the experimental
TRIR spectrum of the primary photoproduct of the off state formed with 0.6 and 14ps
time constants can be supported on the basis of the frequency shifts caused by
geometry distortions of the trans neutral chromophore in the ground state relative to in
vacuo optimized coordinates.
2. Materials and Methods
The M159T mutation was introduced into the original expression construct pRESTb-
Dronpa, and was expressed in E.coli, purified by Ni-NTA affinity chromatography
and gel filtration chromatography as previously described 10
. For photoswitching
kinetics measurements the sample was in 1H2O, 50 mM This/HCl pH 7.8. The
macroscopic on-off switching kinetics of Dronpa and M159T-Dronpa were measured
using a continuous wave diode pumped solid state Nd:YAG laser at 473 nm and 15
mW/cm2 power and approximately 1 cm
2 diameter beam diameter using an expander.
Page 7 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
8
The off-on switching was measured by illumination with an LED array at 400 nm
(700mA, 3.9V, 5W, Mouser Electronics 897-LZ110UA00-U8) and 26.7 mW/cm2
power. For both FTIR spectroscopy and TR-IR spectroscopy the samples were
concentrated to approximately 2mM concentration in 2H2O, 10mM Tris/HCl pD 7.8,
in a Harrick cell with a 12 µm spacer, and had an absolute absorption of ~0.8 at 1650
cm-1
and ~ 1.0 at the maximum at 1626 cm-1
. FTIR measurements were recorded on a
Bio-Rad FTS 175C FT-IR spectrophotometer equipped with a mercury cadmium
telluride (MCT) detector, and collected at 2 cm-1
resolution
TR-IR
The femtosecond time resolved pump-probe mid-infrared spectrometer was described
previously 10,17
. In brief, the output of Ti:Sapphire regenerative amplifier (Spitfire
PRO, Spectra Physics, 4W, 70 fs) was divided between two optical parametric
amplifiers (Topas-C, Light Conversion). One of the parametric amplifiers was
equipped with non-colinear difference frequency generation module that produced
mid IR probe pulses. The other used additional frequency mixing stages to generate
UV and visible pump pulses. Detection system consisted of spectrometers (Triax190,
Horiba) with mercury cadmium telluride (MCT) array detectors (128 pixel arrays,
Infrared Systems Development Corp) attached to them.
The measurements were performed at 6.1 µm centre probe wavelength and a
spectrometer resolution of 3.3 cm-1
. The pump beam intensity was adjusted using
reflective neutral density filters and the polarization was rotated to a ‘magic angle’
(54.7 deg) relative to probe beam. The beam was focused on the sample to 300 µm
spot FWHM. This corresponded to an average power density of 1 W/cm2 for
Page 8 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
9
femtosecond excitation at 503 nm (on state) and 2.8 W/cm2 for pumping at 400 nm
(off state).
The sample cell was translated orthogonally to the beam in Lissajous patterns with
average speed of 50 µm ms-1
. 473nm and 400nm background illumination was
provided by the diode laser and LEDs to maintain the off and on states, respectively.
Singular Value Decomposition (SVD) and global analysis was performed as
previously described 18
.
3. Results
3.1 Quantum yield of reversible photoswitching of Dronpa-M159T
Considering the previous report of an increase of the on-off switching rate by three
orders of magnitude of the M159T mutant relative to the wild type, Stiel et al used an
Hg lamp with a 10nm band pass filter at 488 nm and 300mW/cm2 power and
observed 263s and 0.23s half-time constants from fluorescence traces on live
recombinant bacteria for wild type Dronpa and Dronpa-M159T constructs. These
whole-cell measurements therefore correspond to an 1143-fold increased switching
rate in the M159T mutant. In addition, the absorption maximum of Dronpa-M159T is
blue-shifted at 489nm relative to the 503nm value for the wild type, and the extinction
coefficient was reduced from 95,000 M-1
cm-1
to 61,732 M-1
cm-1
2. The cross-
sections of Dronpa and Dronpa-M159T at 488nm are comparable, which would
suggest an absolute quantum yield of 0.37 for the on-off photoswitching (1143
multiplied with 3.2*10-4
) 2, based on the 3.2 x 10
-4 value for the wild type
1,9. Using
continuous illumination at 473nm (with the Dronpa-M159T mutant having ~ 10%
Page 9 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
10
higher cross section at this wavelength compared to Dronpa) and 15 mW/cm2 we
observed 529s and 8.2s time constants for wild type and mutant, at room temperature.
The observed macroscopic kinetics were seen to follow first order behavior with
respect to the incident flux. Considering the much lower illumination power used
here, the observation of only two-fold slower on-to-off conversion suggests that in
purified form the wild type Dronpa switches considerably faster by orders of
magnitude as compared to the in-vivo kinetics previously reported 2. In contrast the
Dronpa-M159T mutant on-to-off switching kinetics observed here are in reasonable
agreement with the faster kinetics seen in-vivo under more intense illumination 2.
Since the thermal on-state recovery half times are 840 and 0.5 minutes for wild type
and mutant, both our measurements of the on-off photoswitching rates and those of
Stiel et al 2 should reflect the ratios of the absolute quantum yields. Thus, in contrast
to Stiel et al, including also the 0.91 ratio of optical cross sections we find a 59-fold
acceleration (0.91*529s/8.2s) of the on-off switching. This different result is cause
mostly from recording a more efficient rate for the wild type, relative to Stiel et al.
Therefore, based on the value of 3.2x10-4
for the on-off photoswitching quantum yield
of the wild type 1,9
, we estimate a value of 0.02 for the M159T mutant.
For the off-on switching reaction Stiel et al reported half times of 100 ms and 50 ms
for wild type and mutant, using UV light source at 405 nm and 10 nm band pass at
200mW cm-2
. Under 400 nm and 26.7 mW/cm2 power illumination we recorded time
constants of 450 ms and 415 ms, for wild type and mutant. Normalised to the reported
power, we thus find a 33-fold and 16-fold relative increased efficiency under our
conditions. Mostly, our measurements indicate only an 8% increase in the off-on
switching rate for the mutant relative to the wild type. Based on the TR-IR
measurements which supported an approximate 30% quantum yield for the off-on
Page 10 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
11
switching 10
, amplitudes for the mutant may be expected to be similar to the wild type
data.
3.2 Static FTIR on-minus-off difference spectroscopy of the M159T mutant
A first approach to evaluating possible differences in the switching mechanisms of the
wild type and the mutant records and compares the static on minus off FTIR
difference spectra. Figure 1 shows a comparison of the previously reported result for
the wild type Dronpa 10
and that for the M159T mutant in 2H2O, pD 7.8. Generally,
nearly all features for the on and off states are conserved, with only small differences
in frequency of local maxima and minima. Based on the frequency positions at 1688
and 1655 cm-1
of the best characterized mode assignment, which is the chromophore
C=O mode, in the M159T mutant spectrum (Figure 1) the off and on states are
likewise assigned to the trans neutral and cis anion chromophore, as for the wild type
previously 10,19-21
.
Following the proposed mode assignments for the wild type Dronpa FTIR difference
spectra 10
, the on state local maxima at 1622, 1577, 1545, 1497 and 1150 cm-1
have
approximate mode characters ν(C=C), Phenol-1, ν(C=N/C=C), Phenol-3 and
phenolate δ(CH). For the off state 1639, 1615, 1557, 1514 and 1176 cm-1
have
approximate mode characters ν(C=C), Phenol-1, ν(C=N/C=C), Phenol-3 and
phenol δ(CH). One clear difference between wild type and mutant is the 1280 – 1380
cm-1
fingerprint region where the amplitudes of phenolate modes of the on state are
visibly modified in the mutant. Whereas the wild type shows local maxima at 1389,
1364, 1349 and 1323 cm-1
all with approximately equal amplitude, the mutant has a
Page 11 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
12
prominent maximum at 1345 cm-1
, with smaller peaks at 1398 and 1322 cm-1
(Figure
1). Interestingly, the 1345/1349 (Dronpa-M159T/Dronpa) on-state bands correspond
to a 1371 cm-1
mode seen in anionic 4’-hydroxybenzylidene-2,3-
dimethylimidazolinone (HBDI) in 1H2O
22, which showed a particular pattern of
isotope shifts. While 5-13
C labeling resulted in a 15 cm-1
downshift of this mode, 13
C
labeling at positions 1-13
C, 4-15
N, 3-13
C, and α-13
C did not result in significant
frequency shifts22
. Contrary to the mode character obtained from harmonic frequency
calculations, He et al 22
concluded that the 5-13
C sensitive mode is more delocalized.
The assignment is thus likely to include skeletal deformations that includes the phenol
ring and displacement of 5-C 22
. The differences observed between the wild type and
M159T samples may indicate a minor equilibrium conformation difference of the on
state, potentially dominated by the non-planar configuration at C5
Bands at 1674/1655 cm-1
and 1609/1594 cm-1
(1H2O/
2H2O) belonging to protein in the
on state were suggested to arise from arginine νasym(CN3H5+) and νsym(CN3H5
+)
modes10
. Considering the altered position of the Arg66 sidechain in the on and off
states 6, a specific assignment to Arg66 was suggested. In the
2H2O spectrum of the
M159T spectrum a 1592 cm-1
peak has become a shoulder on the intense phenolate-1
mode, but is otherwise conserved in the mutant spectrum.
Lukacs et al. 16
assign both the 1688 and 1677 cm-1
off state bands to the
chromophore C=O, whereas Warren et al assigned only the 1688 cm-1
off state band
to the ν(C=O) mode 10
. An apparent double-bleach feature at 1688 and 1677 cm-1
is
more pronounced in the Dronpa-M159T sample recorded at 2 cm-1
as compared to the
wild type Dronpa recorded at 4 cm-1
resolution (Figure 1).
On the basis of the 1H/
2H isotope shift patterns wild type Dronpa FTIR difference
spectra, it was seen that the 1674 cm-1
(Arg νasym(CN3H5+)) and 1665 cm
-1 ν(C=O)
Page 12 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
13
bands in 1H2O combine at 1655 cm
-1 for the on state in
2H2O, judged from the
frequency shift and intensity of the local maximum. Furthermore, subtracting the
2H2O and the
1H2O on-minus-off difference spectra showed a distinct band at 1695cm
-
1 in the double difference spectrum. Therefore, two modes contribute to the 1700-
1655 cm-1
spectral region, of which one is sensitive to 1H/
2H exchange and the
combination of which results in two local minima at 1687 and 1677 cm-1
in 2H2O.
The main conclusion from the comparison of the Dronpa and Dronpa-M159T FTIR
on-minus-off difference spectra in 2H2O is that both protein and chromophore modes
have very similar frequency positions and intensities and, with the exception of the
fingerprint region containing phenolate modes, the on and off states are structurally
highly similar.
3.3 TR-IR measurements of the on state of Dronpa-M159T
In order to evaluate possible differences in the vibrational response of the on state of
the Dronpa-M159T with the wild type Dronpa, pump-probe TR-IR measurements
were made, including an extended spectral window 1480-1750 cm-1
, comparable to
that reported by Lukacs et al 16
. Furthermore, measurements were done for pump-
probe delays up to 1800 ps, observing the majority of population decay to ground
state. In addition, a -100 ps negative time delay was collected extensively in order to
resolve the 1 ms transient absorption, which was also subtracted from the positive
delays. SVD analysis of the TR-IR data up to 1800 ps showed one dominant spectral
contribution having a singular vector describing 88 % of the data. A further two
statistically significant components account for the remaining 12% of the amplitudes
(Figure 2).
Page 13 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
14
Within the time resolution of the instrument and fitting of the response, the
shortest life time found was 1.9 ps. Assuming intramolecular vibrational energy
redistribution (IVR) to be complete within the ~ 150fs instrument response time, the
1.9 ps component is seen to be dominated by the excited state decay process, having
approximately 4.5% amplitude of the total decay. While the alternative assignment
would assume a 1.9 ps ‘dwell’ time, assignment to dominating for excited state decay
is also developed independently from the spectral data analysis. To illustrate, the SVD
decomposition shows that the 1.9ps phase is dominated by the most significant left
singular vector, which has the majority of the spectral differences belonging to the S1
minus S0 contribution (Figure 2). Specifically, the first left singular D(s)U vector
represents 44% of the 1.9ps component within the data matrix ∆A=UD(s)VT. Since
also D(s)UI has approximately 50 times higher peak amplitudes than D(s)UII, both the
1.9 ps and 185 ps phases are represented primarily by the spectrum seen in D(s)UI
(Figure 2A, top,blue). Furthermore, a heterogeneous global fit of the on state
measurements separates the spectrum belonging to the 1.9 ps component (Figure S6).
The largest amplitude of the 1.9 ps spectrum, approximately 0.3 mOD, corresponds to
a re-filling of the 1495 cm-1
band, signalling ground state recovery. It is therefore
concluded that the 1.9 ps phase is dominated by the S1 minus S0 difference spectrum
including also re-filling of the 1570 and 1650 cm-1
bands at the 1 x 10-4
OD level (in
agreement with the SVD results), perhaps with the exception of the induced
absorption band at 1581 cm-1
, which is seen at 1589 cm-1
in the 185 ps spectrum
(Figure S6). The latter may be interpreted to correspond to vibrational cooling of ‘hot’
excited state 23,24
. However, it should be noted that this observation addresses only 10-
4 OD level signals, whereas the 0.3 mOD re-filling of the 1495 cm
-1 band should be
taken as the most significant spectral feature at this level of Signal to Noise Ratio. In
Page 14 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
15
conclusion, the 1.9 ps phase is seen to be dominated by excited state decay,
representing ~ 4.5% recovery of the total ground state bleach amplitude, and shows
smaller, additional, spectral differences of chromophore modes compared to the 185
ps phase.
A global fit of the three D(s)V(t) time traces with a sum of exponentials
determines the fundamental time constants that describe the full dataset with better
accuracy than a global fit of all data with free fitting of both amplitudes and time
constants 25
. Subsequent global fitting using these three time constants was done with
a homogeneous model 18
. The sequential scheme was chosen in order to describe the
spectral evolution and did no assume a physical connectivity scheme. The global fit
minimized the sum of square root of differences to the same level when the time
constants determined from SVD were fixed or when the time constant values were left
free in the optimization, in which case no significant modification of the fitted time
constants was seen. Figure 3 presents the species associated spectra and the
corresponding time traces. The spectra belonging to τ1=1.9 ps and τ2=185 ps are very
similar and are assigned to radiative decay (Figure S6). The spectra of the wild type
Dronpa are characterized by local minima at 1494, 1535, 1574, 1628-1637 and 1666
cm-1
, belonging to phenol-3, ν(C=N/C=C), Phenol-1, ν(C=C), and ν(C=O) and
Arg66. For the wild type Dronpa, the ν(C=C) mode is spectrally broad compared to
the FTIR on-minus-off difference spectrum, which consists of a dominant bleach at
1623 cm-1
with a minor shoulder at ~ 1632 cm-1
. A difference feature 1593(-)/1586(+)
cm-1
assigned to Arg66 νsym(CN3H5+) in the wild type Dronpa with 16ps and 2 ns time
constants 10
, is also seen in both 1.9 ps and 185 ps spectra of the Dronpa-M159T
measurements. A complex signal in the 1640-1670 cm-1
likely contains contributions
from the chromophore v(C=O) as well as Arg66 νasym(CN3H5+), also seen for the wild
Page 15 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
16
type Dronpa 10
. A small but reproducibly observed difference signal in the wild type
at 1684(-)/1679(+) cm-1
is seen at 1694(-)/1688(+) cm-1
in Dronpa-M159T (Figure 3,
S3), likely belonging to protein carbonyl stretching mode. A comparison of Dronpa
and Dronpa-M159T species associated spectra for the on state of the same spectral
regions is shown in Figure S3 (supplementary information). As noted previously, the
frequency positions and intensities for the cis anion in the on state correspond well
with those observed for the Aquorea Victoria Green Fluorescent Protein (GFP) 10,19-21
.
While both 1.9 ps and 185 ps spectra are in agreement with Lucaks et al. 16
, spectral
evolution is observed with longer delays. Specifically, the spectrum belonging to the
third species which has a 1.1 ns decay time constant is associated with small
frequency shifts (Figure 3). The bleach at 1574 cm-1
belonging to anion Phenol-1 at
early time shows a minor shift to 1576 cm-1
in the 1.1 ns decay spectrum.
Interestingly the feature at 1648-1652 cm-1
, having contribution from Arg66
νsym(CN3H5+) is also slightly shifted to 1652 cm
-1 (Figure 3). The spectral evolution at
long delays is further supported by the growing contributions of the minor SVD
components II and III (Figure 2).
It should be noted that the shape of the spectrum that decays with 1.1 ns time constant
is determined by fitting to a reaction model which assumes full recovery to the ground
state, thus disregarding the transient absorption belonging to the primary
photoproduct, which can not be reliably retrieved with observations to 1800 ps
because these are still dominated by radiative state decay. By including a final product
state with ‘infinite’ lifetime and using a homogeneous model, a spectrum with very
small peak amplitudes (below 10-4
∆OD) was retrieved (Figure S5) which resembles
the 1 ms spectrum more than the excited state decay spectra (Figures 3, S5). Accurate
pump-probe measurements with longer delays would be needed to better resolve the
Page 16 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
17
product state spectrum. In summary, the most likely interpretation of the spectral
evolution assumes geometrical modification of both the chromophore and Arg66
within the excited state lifetime and associated with the observed 1.1 ns decay time
constant.
Measurements with a -100 ps negative pump-probe time delay resolved small but
reproducible transient absorption (Figure 4). While the sample was rapidly moved
during data acquisition (average speed of 50 µm ms-1
, probe beam size 75 µm, pump
beam size 300 µm), some overlap with the previous measurements was generally
seen. The measurement therefore also included some contribution of 2, 3 and 4 ms,
but estimation of the overlap taking into account the Gaussian profiles indicates the
measurement to be dominated by the 1 ms pump-probe spectrum. Comparison with
the static off-minus-on FTIR difference spectra shows reasonable agreement, with
negative signals belonging to the on state present at the same frequencies. The
amplitude of the bleach feature at 1622 cm-1
represents ~ 5% of the instantaneous
signal after excitation, in reasonable agreement with the estimated quantum yield of
0.02, considering additionally that the 1 ms measurement only resolved a portion of
the population. It was unclear whether product absorption at 1687 cm-1
was already
developed in this spectrum due to insufficient signal-to-noise (Figure 4), but the
observation of features at 1622 and 1652 cm-1
indicates the likely ground state
bleaching of characteristic phenolate modes 10
, thus suggesting thermal protonation
within the 1ms time delay. These observations are thus in agreement with the
previously proposed time scale of thermal proton transfer 10
.
3.4 TR-IR measurements of the off state of Dronpa-M159T
Page 17 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
18
The off state was photo-accumulated under continuous illumination with a 473nm
laser source (see Materials and Methods). Compared to the wild type Dronpa, the
Dronpa-M159T sample converted more readily and the resulting photoequilibrium
from the defocused 473nm illumination and the scanned pump was ensured to occupy
the off state fully. Subsequent excitation with 400nm femtosecond pulses allow
measurement of the TR-IR spectra in the same frequency range as collected for the on
state, in 2H2O. Figure S2 shows selected spectra for delays up to 1800 ps. The broader
frequency range and the extended delays were chosen to evaluate the possibility of
relaxation processes slower than the maximal 100 ps pump-probe delay which were
previously reported for the wild type Dronpa 10
. Furthermore, Lukacs et al (2013) 16
reported that their measurements of the same sample under the same conditions
required global fitting with three time constants 2.3, 22 and 458ps, for data collected
up to 1000 ps. These measurements were done under similar conditions of optical
excitation except at 10 KHz repetition rate, and 2H2O solvent, although the pH and
experimental temperature was not explicitly mentioned 16
. Comparison of the raw data
shows the off state TR-IR to be generally in agreement with Lukacs et al 16
except a
relatively more intense bleach amplitude at 1688 cm-1
seen in Figure 2 of Lukacs et al
16 compared to our data (Figure 6, S2). An SDV analysis was performed for our
measurements in order to evaluate the number of time constants needed and their
statistical significance. Figure 5 shows the resulting four significant components. A
global fit of the scaled time traces D(s)V(t) required three time constants τ1=0.6 ps,
τ2=14 ps and τ3=17ns, the latter time constant being poorly determined with
measurements up to 1800 ps and modeling a subsequent decay to ground state. It was
noted that no ~ 458 ps could be resolved from the D(s)V(t) time traces. Specifically,
forcing a fixed value at 500 ps increased the sum of residuals from 5.8071 x 10-6
to
Page 18 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
19
8.3499 x 10-6
and visibly resulted in unsatisfactory fit results. Global fitting of the
data with a homogeneous model was done to describe the spectral evolution without
assuming a physical model. The spectra for the 0.6 ps and 14 ps components were
highly similar (Figure 6). The associated time constants could be assigned to excited
state decay in agreement with Warren et al 10
, Habuchi et al. 9, Lucaks et al.
16 and
Fron et al. 11
. The primary photoproduct is characterised by a distinct spectrum with
upshifted induced absorption relative to ground state bands, with local maxima and
minima 1654(+)/1639(-) cm-1
and 1625(+)/1617(-) cm-1
and 1595(+) cm-1
(Figure 6).
Only a very small, but reproducibly observed, minimum at 1685(-) cm-1
was
observed, in agreement with Warren et al 10
and Lucaks et al. 16
, for Dronpa and
Dronpa-M159T, respectively. Figure 6 presents the basis spectra applying a
homogeneous global fit of the on state TR-IR data, which identifies the primary
photoproduct with a 14 ps rise time. Pump-dump-probe measurements evaluating
amplitudes belonging to S1 and photoproduct with sub-ps and few-ps pump-dump
delays would be required to support further ‘target’ analysis evaluating possible
reaction models, which would provide the branching ratios of the excited state decay
phases. The pump-probe data presented here are therefore exclusively analysed by
applying a model-free homogenous global fit (Figure 6). A minus 100 ps negative
(probe-pump) time delay measurements resolved the 1 ms spectrum of the off state,
which had amplitudes comparable to the primary photoproduct. It is noted that the
positive pump-probe data shown used subtraction of the negative time delay, which
significantly altered the spectra. The 17 ns time constant is an estimate of some decay
amplitude observed for delays up to 1800 ps (Figure 5). It is possible that spatial
overlap was partially lost with long delays, causing a small reduction of the transient
absorption signals, in which case the primary photoproduct formed with 0.6 and 14 ps
Page 19 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
20
would be seen to be stable over this time. However, a similar effect was not seen for
the on state measurements (Figure 2). In case this represented genuine decay, this was
modelled by a return to ground state as no data for longer delays was obtained.
Clearly, considering the 1 ms transient absorption (Figure 7), this assumption cannot
be correct, but the resulting amplitude errors are considered to be very small from the
small decay amplitude (Figure 5).
3.5 Geometry optimization and frequency calculation for distorted neutral trans
HBDI using DFT
In order to address the different assignments made to the primary photoproduct
spectrum by Warren et al 10
and Lucaks et al. 16
DFT geometry optimisations and
frequency calculations were performed for chromophore geometries as observed in
the X-ray structure of the off state by Andresen et al 6. Geometry optimization and
frequency calculation was performed using redundant internal coordinates 26
using
Gaussian 09 27
, with removal of internal coordinates including either the dihedral
angle 5-C/α-C/1’-C/2’-C, corresponding to rotation of the phenol ring out of plane, or
the linear bend 3-C/5-C/O/4’-C, corresponding to an out-of-plane bending of the
phenol and imidazolinone rings (Figure 1, 8, 9 ).
The resulting effects on the force constant that determines the frequency position of
the chromophore C=O stretching mode is evaluated from subsequent harmonic
frequency calculations which remove the same redundant coordinates as done for the
geometry optimization. Since the C=O stretching mode must contain also C=C
stretching character due to ring deformation in the mode displacement, both the C=O
Page 20 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
21
and C=C equilibrium bond lengths were evaluated, in addition to the frequency
positions. For out-of-plane bending (while keeping the phenol ring torsion fixed to -
140° as observed in 2POX pdb 6), decreasing of the bending angle (Φ) from 32° as
observed in 2POX pdb increased the C=O equilibrium bond length, while decreasing
the C=C bond length (Figure 8A). The subsequent C=O/C=C frequencies were
however seen to increase, indicating a dominant contribution of the increased force
constant in the C=C displacement when moving to a more planar geometry. For
rotation of the phenol ring by decreasing dihedral torsion angle (Ψ) to a more planar
geometry, while keeping the out-of-plane bending angle fixed to 32°, increased both
the equilibrium bond lengths for the C=O and C=C bonds, and concurrently reduced
the frequency considerably (Figure 8B). It was thus concluded that the main effect of
the distorted geometry seen in the X-ray structure of the off state is a frequency
upshift of the C=O/C=C mode as compared to that calculated for a planar geometry
for neutral HBDI in vacuum. This was already noted previously, on the basis of a
single geometry restrained calculation by Warren et al 10
. Inspection of the Fo-Fc
difference electron density maps for the off state structure indicates negative electron
density on the phenol ring, which is modeled in all four chains in a distorted geometry
as shown in Figure 8. This density is indicative of partial occupancy of the off state,
having some remaining on state present, but furthermore indicates that the dihedral
torsional angle (Ψ) is not very precisely determined from the X-ray data, which could
also support a 5° or 10° larger value. For example, assuming a -130º value (10º larger
than the X-ray coordinates), the frequency difference between the distorted neutral
trans chromophore and the neutral cis chromophore would be very small as a result
(Figure 9). Additionally, frequency positions of ν(C=C) and phenol-1 and those
further reported previously for the distorted neutral trans chromophore Warren et al
Page 21 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
22
from calculations are positioned close to those calculated for the cis neutral structure
(Figure 9 and reference 10
). The calculated absorption in Figure 9 is given as the band
integrated intensity (km / Mole = 1000 m / Mole).
4. Discussion
4.1 Assignments of the carbonyl stretching region 1750- 1650 cm-1
.
The on-minus-off FTIR difference spectra for the wild type Dronpa were reported in
both 1H2O and
2H2O, which clearly supported the contributions of at least two modes
in the off state and two modes in the on state in the carbonyl stretching region 1750-
1670 cm-1
10
(Figure 10). A consistent interpretation of the 1H/
2H isotope shifts in this
region assigns two off-state bands at 1695 and 1690 cm-1
in 1H2O, of which the 1695
cm-1
shifts to 1674 cm-1
in 2H2O, and the local minimum at 1690 cm
-1 in
1H2O is
observed at 1688 cm-1
in 2H2O (Figure 10)
10.
This shows that the 1695/1677 cm-1
(1H2O/
2H2O) bleaches in the off state do not
belong to the chromophore C=O mode, and below we argue the alternative
assignment to Arg66 νasym(CN3H5+). The high resolution FTIR difference spectrum of
the Dronpa-M159T mutant more clearly separates the two minima in the off state
(Figure 1). This assignment contrasts with the assignment of both 1688 and 1677 cm-1
bands to the chromophore C=O mode made by Lucaks et al. 16
. The possible
assignment of the high frequency, 1695 cm-1
, to Arg νasym(CN3H5+) may correspond
to an isolated side chain with no ionic interactions 28,29
. This assignment is also
supported by the X-ray structures 2IOV for the on state 2 and 2POX for the off state
6.
In the on state the Arg66 side chain is hydrogen bonded to the C=O group of the
Page 22 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
23
chromophore, which may stabilise the anionic cis ground state from interaction with
the charged (CN3H5+) group. For the on state, two isotope-sensitive induced
absorption bands in to the on minus off FTIR difference measurements, which were
identified as not originating from chromophore modes, were seen at 1674 and 1609
cm-1
and 1655 and 1594 cm-1
in 1H2O and
2H2O, respectively . An assignment of the
1674/1655 and 1609/1594 cm-1
(1H2O/
2H2O) bands to arginine νasym(CN3H5
+) and
νsym(CN3H5+) are well supported considering the hydrogen bonded structural position
in the on state, and additionally from the well resolved 15 cm-1
downshift for the
arginine νsym(CN3H5+) mode
10. For the off state, corresponding bleach amplitude in
the on minus off FTIR difference spectrum at 1695 cm-1
is additionally supported by
observation of arginine 108 νasym(CN3H5+) at the high frequency position of 1695 cm
-1
in halorhodopsin 29
.
These assignments contrast with those by Lukacs et al., who propose to assign both
the 1688 and 1677 cm-1
off state bands in 2H2O to the chromophore C=O, discussed
further in section 4.3 below. Lucaks et al. 16
however did not take the 1H/
2H isotope
shifts into account, specifically the additional bleach amplitude at seen at 1695/1677
cm-1
(1H2O /
2H2O) (Figure 10)
10. In contrast, the chromophore C=O stretching
frequency should have very small sensitivity to 1H/
2H exchange, and is found at
1690/1688 cm-1
(1H2O /
2H2O) for the off state.
4.2 On state TR-IR measurements
Two fundamentally new observations were made for TR-IR measurements of the on
state of Dronpa-M159T. Firstly, spectral evolution is observed for a 1.1 ns decay time
constant, which includes small shifts of both protein and chromophore modes.
Page 23 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
24
Second, a 1 ms spectrum was resolved which has bleach features corresponding to the
static FTIR difference spectrum. For the 1.1 ns decay associated spectrum of the
globally fitted TR-IR data of the on state, ground state bleach at 1648-1652 cm-1
,
having contribution from Arg66 νasym(CN3H5+) is slightly shifted to 1652 cm
-1 (Figure
3). The bleach at 1574 cm-1
belonging to the chromophore ν(C=C) shows a small shift
to 1576 cm-1
in the 1.1 ns spectrum. The globally fitted spectrum for the 1.1 ns decay
component is expected to have contribution from the induced absorption of the
primary photoproduct, with an estimated quantum yield of 0.02. However, on the
basis of evaluating the amplitudes seen for the 1 ms measurement, and also the low
quantum yield, these are expected to have minor contribution to the shifted features of
the 1.1 ns decay spectrum shown in Figure 3 (see Figure S5C for comparison). The
three statistically significant orthogonal left singular vectors resulting from SVD
factorisation (Figure 2A) are evidence that the data matrix ∆A=UD(s)VT must consist
of linear combinations of basis spectra which have different spectra. Further,
considering the scaled D(s)VII and D(s)VIII time traces (Figure 2B), it is seen that their
contributions maximize and subsequently decay at delays longer than 100 ps.
Therefore, the SVD results (Figure 2) and global fitting (Figure 3) are in agreement to
support with statistical significance the spectral changes which have a 185 ps rise time
and a 1.1 ns decay time constant. This analysis shows that modes belonging to the
protein as well as the chromophore are modified in the spectrum that decays with 1.1
ns time constant: The 1648(-)/1659(+) cm-1
band assigned to νasym(CN3H5+) of Arg66
10 changes to 1652(-)/1659(+) cm
-1 and the 1574(-) cm
-1 local minimum belonging to
Phenol-1 10
changes to 1576(-) cm-1
in the spectrum associated with the 1.1 ns decay
time constant. It may be proposed that these modifications are required for the
photoswitching which includes photoisomerisation and protonation in addition to
Page 24 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
25
rearrangements of aminoacid side chains Arg66 and His192 6. This process may be
distinct to the M159T mutant and necessary for accelerated on-to-off photoswitching,
although previous TR-IR measurements of wild type Dronpa 10
and Dronpa-M159T 16
were both reported for delays up to 1000ps. Compared to the 16 ps and 2 ns excited
state decay time constants for the wild type Dronpa 10
, the shorter 1.9 ps, 185 ps and
1.1 ns time constants reported for the M159T mutant here agree with the reduced 0.23
value for the fluorescence quantum yield of the mutant relative to the 0.85 value for
the wild type 2.
4.3 Off state TR-IR measurements
SVD analysis of pump-probe measurements in the 1750-1575 cm-1
spectral window
of the off state with delays up to 1800 ps supported 0.6ps, 14ps and 17ns time
constants, and could not support a ~ 458 ps time constant which was reported on the
basis of global analysis by Lukacs et al. 16
for the same Dronpa-M159T mutant. While
the determination of the number of time constants and their values is better supported
on the basis of SVD than for global analysis 18
, there appears to be a genuine
difference between the off state measurements. The main difference between the
experimental conditions for the measurements reported here and by Lukacs et al. 16
concerns the repetition rate which were 1 KHz and 10 KHz , respectively. The
possibility of optical pumping with 400 nm excitation of an intermediate may possibly
explain the differences seen, and the observation of an additional time constant for the
10 KHz measurements. For those reported here, the -100 ps negative delays which
represent the 1 ms spectrum, indicate from the very close correspondence with the
FTIR difference spectrum that deprotonation was complete, and therefore the
Page 25 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
26
electronic absorption is expected to have shifted to 480 nm and consequently
significantly reduced the cross section at 400nm. While Lucaks et al (2013) 16
did not
report a 100 µs spectrum, or describe subtraction of negative time point
measurements, the possibility exists that deprotonation was not yet complete. In this
case, remaining cross section at 400nm might explain additional transient absorption
signals seen on the ~500ps time scale by Lucaks et al. 16
. Additionally, moving the
sample by raster scanning at 10 KHz repetition rate would have increased subsequent
spatial overlap as well.
The assignment of both 1688 and 1677 cm-1
bands to the chromophore C=O
mode made by Lucaks et al. 16
contrasts with the analysis of the 1H/
2H shifts of the
FTIR data discussed here. Lucaks et al argue that the X-ray structure of the off state
supports the presence of disorder explaining the two frequencies they assign to the off
state, citing Mizuno et al., 2008 7. Mizuno et al however reported P21, P21212, P212121
crystal forms of the on state of Dronpa and a P43 bright state structure of ‘22G’, the
wild type precursor of Dronpa. The off state structure which was reported by
Andresen et al 6 did indicate disorder but rather at the level of a mixed on and off
state. It is therefore unclear which X-ray crystallographic observation of the off state
Lucaks et al. 16
put forward to support their proposed assignment of the 1677 cm-1
off
state band.
Another assignment made by Lucaks et al. 16
to protein contributions concerns
the bleach feature at ~ 1620 cm-1
in the early time spectra of the off state, on the basis
of its absence in TR-IR measurements of HBDI. In contrast, Warren et al suggested
an assignment to phenol-1, which appeared reasonable on the basis of frequency
calculations and also comparison to FTIR measurements of the Aquorea Victoria
Green Fluorescent Protein 10
. One additional consideration includes the structural
Page 26 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
27
disorder of HBDI in solution, which modeled the optical absorption spectrum that has
increased width 30
. For the cis anion in the on state, geometry optimization using DFT
which results in a planar structure may thus be more indicative for the frequency
positions of the protein spectra relative to the spectra for free HBDI in solution.
A critical point for the mechanistic interpretation concerns the assignment of
the primary photoproduct spectrum which is formed in 14 ps (Figure 7). While
Warren et al 10
assigned the product to the cis neutral chromophore, Lucaks et al. 16
assigned it to a trans chromophore ground state intermediate. In this contribution we
have confirmed that there are no significant differences seen in the TR-IR of the off
state of wild type and M159T mutant (Figure S4). Lucaks et al. 16
propose that ground
state isomerisation is responsible for the formation of the final cis chromophore
structure in the on state. Combined with the observation made here that both
isomerisation and deprotonation is complete within 1 ms, this would require a small
barrier to be created by the initial optical pump. The main argument put forward by
Lucaks et al. 16
is the absence of a frequency upshifted C=O mode in this spectrum.
Alternatively, an assignment of the primary photoproduct spectrum to the cis neutral
ground state 10
may consider two possible reasons why this mode is not seen upshifted
relative to the trans neutral chromophore in the off state. Firstly, hydrogen bonding to
the C=O group may downshift the mode in the primary photoproduct, thereby
compensating for a part of the expected frequency upshift. There may be evidence
that this has indeed occurred. Induced absorption at 1655 cm-1
, assigned to the Arg
νasym(CN3H5+) in the on state is seen also in the primary photoproduct spectrum
(Figure 6,7). As the on state C=O chromophore frequency is observed at 1665 cm-1
in
1H2O in the on-minus-off FTIR difference spectrum of Dronpa
10, and is insensitive to
1H/
2H exchange, the assignment of 1655 cm
-1 to Arg66 is warranted. This in turn
Page 27 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
28
indicates the hydrogen bonding to the chromophore C=O group in both the primary
photoproduct and the on state. Second, DFT calculations presented here (Figure 8 and
9) and previously 10
indicate that the ν(C=O/C=C) frequency is particularly sensitive
to out-of-plane distortions, which can be rationalized on the basis of equilibrium
ν(C=O) and ν(C=C) force constants. While a highly specific geometry for the cis
neutral chromophore cannot be proposed for the primary photoproduct of the off state,
these arguments can explain why a frequency upshifted C=O mode is not included. A
comparison of the primary photoproduct spectrum (Figure 7, top; 17ns) shows
similarities as well as distinct differences relative to the static FTIR difference
spectrum (Figure 7, bottom). The photoproduct spectrum has characteristic bleach
features at 1640 and 1617 cm-1
that correspond to the local minima in the FTIR
spectrum, but their amplitudes relative to induced absorption bands observed at 1655
and 1623 cm-1
are larger in the photoproduct spectrum (Figure 7A). Furthermore,
induced absorption bands at 1595 and 1528 cm-1
, belonging to the chromophore, are
specific to the photoproduct (Figure 7A) and do not correspond to the main induced
absorption bands in the FTIR or 1 ms spectra (Figure 7B, C). The significantly
shifted center frequencies and cross sections support the structural rearrangement of
the chromophore, rather than its protein environment as proposed by Lucaks et al.16
,
thus supporting photoisomerisation in the primary photoproduct instead. It is noted
that the 1595 cm-1
positive band may belong to the phenol-1 mode of neutral cis
HBDI, which could correspond to the calculation shown in Figure 9. A key
observation is the absence of characteristic anion phenolate modes at 1577 and 1497
cm-1
in the product spectrum indicate that thermal deprotonation has not yet occurred
on the nanosecond time scale. This observation also argues against rearrangement of
hydrogen-bonding potential that would result in a charge transfer process developing
Page 28 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
29
partial anionic character, as proposed by Lucaks et al. 16
. Rather, the characteristic
phenolate bands are fully developed with 1 ms, as seen from the correspondence with
the on-minus-off FTIR difference spectrum.
Finally, there are thermodynamic considerations for the proposed ground state
trans-cis isomerisation (which are then followed by another ground state cis-trans
isomerisation later to recover the ground state) by Lucaks et al. 16
. Here, we have
shown that in the time interval between 1800 ps and 1 ms, the primary photoproduct
completely transforms into the final on state product (Figure 7). DFT calculations that
scan the dihedral C=C bond angle from trans configuration at the B3LYP/6-
311+g(d,p) level, estimated a value of 199 kJ/mol, or 2.06 eV, for the electronic
ground state barrier. Given the rate of the reaction reported here, it is unclear how the
thermal barrier crossing proposed 16
could be supported, considering additionally that
the thermal ground state recovery takes place on the minute time scale (840 min and
0.5 min for Dronpa and Dronpa-M159T, respectively) 2. With regard to the
isomerisation state of the primary photoproduct, the following summarises the
available evidence. Firstly, the frequency positions of the ν(C=O/C=C) mode in the
primary photoproduct with cis neutral chromophore may be close to that of the
distorted trans neutral chromophore in the off state, as shown by DFT frequency
calculations (Figure 9). Second, the complete absence of a 500 ps component for
measurements of the off state conducted in the absence of cross-section from
intermediates at 1 KHz repetition rate is in contrast to the spectral dynamics reported
of the same sample with 10 KHz repetition rate16
, thus allowing assignment on the
basis of the primary photoproduct only (Figure 6A). Third, the photoproduct spectrum
having dominant chromophore bleach modes and shifted product bands (Figure 6A) is
characteristic of structural modification of the chromophore rather than being
Page 29 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
30
dominated by protein absorption changes, thus strongly supporting a chromophore
isomerisation. Fourth, the very large, 2eV, ground state barrier between a cis neutral
and trans neutral structure is unlikely to be overcome on microsecond timescales,
driven by protein conformational changes as speculated by Lukacs et al. 16
. It is
therefore concluded from the available evidence that the primary photoproduct of the
off state is assigned to the cis neutral chromophore, in agreement with Warren et al 10
.
The new millisecond measurements for both the on and the off state presented here
for the first time have confirmed the occurrence and the relevant time scale for the
thermal protonation and deprotonation reactions in the photocycle of Dronpa, as
previously proposed 10
.
5. General conclusions
A brief summary of the forward and reverse photoinduced reactions of Dronpa-
M159T are given from the evidence presented. Pumping the on state results in
dominant excited state decay of the anionic cis chromophore with 1.9 ps, 185ps and
1089 ps time constants and includes transient absorption assigned to Arg66, as also
seen for the wild type Dronpa10
. Further modification of modes belonging to protein,
assigned to Arg66, and chromophore are observed on the nanosecond time scale
(belonging to the third species having a 185 ps rise time and 1089 ps decay time
constant), which may be of importance considering the 65-fold acceleration of the on-
to-off photoswitching of the M159T mutant relative to the wild type. A 1 ms
observation shows bleach features corresponding to those in the off-minus-on FTIR
difference spectrum, indicating isomerisation and likely also thermal protonation of
the hydroxyphenyl oxygen, from the comparable bleach frequencies and amplitudes
Page 30 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
31
belonging to characteristic phenolate modes at 1652 and 1622 cm-1
. The final product
as observed in static FTIR difference spectroscopy is the trans neutral chromophore in
the off state, corresponding to that in the Dronpa wild type previously reported 10
.
Blue excitation of the off state results in excited state decay with 0.6 ps and 14 ps time
constants, generating a primary photoproduct with very similar amplitudes, frequency
positions and relative yield as those observed for the wild type Dronpa (Figure 6A and
Supplementary information Figure S4). At 1 KHz repetition rate, having a transient
background of cis anion only (Figure 7, 1 ms spectrum (red)), statistical analysis of
time resolved measurements could not support a ~458 ps time constant previously
reported by Lucaks et al. 16
done at 10 kHz repetition rate. Instead we find the
photoproduct to be stable on nanosecond time scale, yet a 1 ms measurement
corresponds very closely with the on-minus-off FTIR difference spectrum, indicating
a completion of the thermal deprotonation and protein rearrangements between
nanoseconds and 1 ms. Careful analysis of the isotope dependence of the FTIR
difference spectra indicates that bleach amplitude at 1677 cm-1
in 2H2O belonging to
the off state is present at 1695 cm-1
in 1H2O, and is tentatively assigned to arginine 66
νasym(CN3H5+). The resulting conclusion is that only one band, at 1690/1688 cm
-1
(1H2O/
2H2O) is assigned to ν(C=O) of the chromophore in contrast to Lucaks et al.
who assigned both the 1688 and 1677 cm-1
to the ν(C=O) mode 16
. Finally, the
assignment of the primary photoproduct infrared spectrum is supported from DFT
modeling which assess the frequency shifts resulting from distorted geometry seen in
the off state crystal structure. In addition, a contribution to the frequency position of
the chromophore C=O mode is expected to result from hydrogen bonding between
Arg66 and the chromophore C=O, which was independently argued on the basis of
mode assignments to arginine 66 νasym(CN3H5+) and arginine 66 νsym(CN3H5
+)..
Page 31 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
32
FIGURES
Figure 1. A) On-minus-off FTIR difference spectra of Dronpa (black) 10
and Dronpa-
M159T (red) in 2H2O, pD 7.8 and room temperature. Local maxima and minima are
indicated for both wild type and mutant measurements, corresponding to their on and
off states. The wild type measurement was previously reported at 4 cm-1
resolution,
whereas the Dronpa-M159T was recorded at 2 cm-1
resolution. B) Structures of the cis
anionic chromophore, hydrogen bonded to arginine 66 in the on state (top) and in the
trans neutral structure with disrupted hydrogen bonding to arginine 66 in the off state
(bottom).
Page 32 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
33
Figure 2. Singular value decomposition (SVD) analysis of the on state of Dronpa-
M159T. SVD was carried out according to ∆A=UD(s)VT. A) Scaled left singular
vectors D(s)UI-III represent the orthogonal basis spectra weighted by their singular
Page 33 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
34
values. B) Scaled time traces D(s)VI-III(t), representing the concentration profiles of
left singular vectors, were fitted with a sum of three exponentials resulting in τ1=1.9
ps, τ2=185 ps and
τ3=1089ps.
Page 34 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
35
Figure 3. Global analysis of the on state of Dronpa-M159T using a homogeneous
model with three time constants. A) Species associated difference spectra belonging
to τ1=1.9 ps, τ2=185 ps and τ3=1089 ps. B) Concentration profiles for basis spectra
1,2,3 and ground state, up to 1800 ps after excitation.
Page 35 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
36
Figure 4. TR-IR difference spectrum of the on state of Dronpa-M159T at 1 ms. For
comparison the static off-minus-on FTIR difference spectrum is included below.
Page 36 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
37
Figure 5. Singular value decomposition (SVD) analysis of the off state of Dronpa-
M159T. SVD was carried out according to ∆A=UD(s)VT. (A) Scaled D(s)UI-IV basis
Page 37 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
38
spectra. B) Scaled time traces D(s)VI-IV(t) were fitted with a sum of three exponentials
resulting in τ1=0.6 ps, τ2=14 ps and τ3=17ns. Singular values D(s) are given for each
component.
Page 38 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
39
Figure 6. Global analysis of the off state of Dronpa-M159T using a homogeneous
model with three time constants. A) Species associated difference spectra belonging
to τ1=0.6 ps, τ2=14 ps and τ3=17 ns. B) Concentration profiles for basis spectra 1,2,3
and ground state, up to 1800 ps after excitation
Figure 7. Stack plot of the 1 ms spectrum, the 17ns TR-IR primary photoproduct and
the static on-minus-off FTIR difference spectrum of the off state.
Page 39 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
40
Figure 8. Geometry optimization and frequency calculation of neutral HBDI with out-
of-plane bending angle (Φ) (A) and dihedral angle for phenol ring torsion (Ψ) (B).
Geometry optimized bond angles for the chromophore C=O (squares) and C=C
(triangle) modes are plotted on the left Y axis, and harmonic frequencies (circles) for
the chromophore C=O/C=C mode from subsequent harmonic frequency calculations
are plotted on the right Y-axis. Frequencies are unscaled 31
.
Page 40 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
41
Figure 9. Synthetic difference spectrum for a distorted neutral trans chromophore
Φ=32º ; Ψ =-130º) (negative, yellow) and a neutral cis (positive, green) HBDI product
state. Frequencies were scaled by 0.968 31
.
Page 41 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
42
Figure 10. Carbonyl stretching region of the on minus off FTIR difference spectra in
1H2O (black) and
2H2O (red) of Dronpa
10. The double difference
2H2O minus
1H2O
(blue) spectrum shows bleach amplitude belonging to the off state at 1695 cm-1
in
1H2O downshifts to 1671 cm
-1 in
2H2O.
Page 42 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
43
Author information
Corresponding author
Jasper J van Thor: email [email protected]
Author contributions
The manuscript was written through contributions of all authors. All authors have
given approval to the final version of the manuscript
Funding sources
This work was supported by EPSRC via award EP/I003304/1.
Acknowledgements
We thank Jalal Thompson for preparing the M159T mutation.
ABBREVIATIONS
ESPT, Excited State Proton Transfer; MCT, mercury cadmium telluride; FTIR
Fourier Transform Infrared spectroscopy; GFP, Green Fluorescent Protein; DFT,
Density Functional Theory
Page 43 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
44
References
(1) Ando, R.; Mizuno, H.; Miyawaki, A.Regulated fast nucleocytoplasmic
shuttling observed by reversible protein highlighting Science 2004, 306, 1370.
(2) Stiel, A. C.; Trowitzsch, S.; Weber, G.; Andresen, M.; Eggeling, C.;
Hell, S. W.; Jakobs, S.; Wahl, M. C.1.8 A bright-state structure of the reversibly
switchable fluorescent protein Dronpa guides the generation of fast switching variants
Biochem J 2007, 402, 35.
(3) Wilmann, P. G.; Turcic, K.; Battad, J. M.; Wilce, M. C.; Devenish, R.
J.; Prescott, M.; Rossjohn, J.The 1.7 A crystal structure of Dronpa: a photoswitchable
green fluorescent protein J Mol Biol 2006, 364, 213.
(4) Ormo, M.; Cubitt, A. B.; Kallio, K.; Gross, L. A.; Tsien, R. Y.;
Remington, S. J.Crystal structure of the Aequorea victoria green fluorescent protein
Science 1996, 273, 1392.
(5) Yang, F.; Moss, L. G.; Phillips, G. N., Jr.The molecular structure of
green fluorescent protein Nat Biotechnol 1996, 14, 1246.
(6) Andresen, M.; Stiel, A. C.; Trowitzsch, S.; Weber, G.; Eggeling, C.;
Wahl, M. C.; Hell, S. W.; Jakobs, S.Structural basis for reversible photoswitching in
Dronpa Proc Natl Acad Sci U S A 2007, 104, 13005.
(7) Mizuno, H.; Mal, T. K.; Walchli, M.; Kikuchi, A.; Fukano, T.; Ando,
R.; Jeyakanthan, J.; Taka, J.; Shiro, Y.; Ikura, M.; Miyawaki, A.Light-dependent
regulation of structural flexibility in a photochromic fluorescent protein Proc Natl
Acad Sci U S A 2008, 105, 9227.
(8) Zhou, X. X.; Chung, H. K.; Lam, A. J.; Lin, M. Z.Optical control of
protein activity by fluorescent protein domains Science 2012, 338, 810.
(9) Habuchi, S.; Ando, R.; Dedecker, P.; Verheijen, W.; Mizuno, H.;
Miyawaki, A.; Hofkens, J.Reversible single-molecule photoswitching in the GFP-like
fluorescent protein Dronpa Proc Natl Acad Sci U S A 2005, 102, 9511.
(10) Warren, M. M.; Kaucikas, M.; Fitzpatrick, A.; Champion, P.; Sage, J.
T.; van Thor, J. J.Ground-state proton transfer in the photoswitching reactions of the
fluorescent protein Dronpa Nat Commun 2013, 4, 1461.
(11) Fron, E.; Flors, C.; Schweitzer, G.; Habuchi, S.; Mizuno, H.; Ando, R.;
De Schryver, F. C.; Miyawaki, A.; Hofkens, J.Ultrafast excited-state dynamics of the
photoswitchable protein dronpa J. Am. Chem. Soc. 2007, 129, 4870.
(12) Faro, A. R.; Adam, V.; Carpentier, P.; Darnault, C.; Bourgeois, D.; de
Rosny, E.Low-temperature switching by photoinduced protonation in photochromic
fluorescent proteins Photochem Photobiol Sci 2010, 9, 254.
(13) Li, X.; Chung, L. W.; Mizuno, H.; Miyawaki, A.; Morokuma, K.A
Theoretical Study on the Nature of On- and Off-States of Reversibly Photoswitching
Fluorescent Protein Dronpa: Absorption, Emission, Protonation, and Raman J. Phys.
Chem. B 2010, 114, 1114.
(14) Schafer, L. V.; Groenhof, G.; Klingen, A. R.; Ullmann, G. M.; Boggio-
Pasqua, M.; Robb, M. A.; Grubmuller, H.Photoswitching of the fluorescent protein
asFP595: mechanism, proton pathways, and absorption spectra Angew Chem Int Ed
Engl 2007, 46, 530.
(15) Schafer, L. V.; Groenhof, G.; Boggio-Pasqua, M.; Robb, M. A.;
Grubmuller, H.Chromophore protonation state controls photoswitching of the
fluoroprotein asFP595 PLoS Comput. Biol. 2008, 4.
Page 44 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
45
(16) Lukacs, A.; Haigney, A.; Brust, R.; Addison, K.; Towrie, M.;
Greetham, G. M.; Jones, G. A.; Miyawaki, A.; Tonge, P. J.; Meech, S. R.Protein
photochromism observed by ultrafast vibrational spectroscopy J Phys Chem B 2013,
117, 11954.
(17) Kaucikas, M.; Barber, J.; Van Thor, J. J.Polarization sensitive ultrafast
mid-IR pump probe micro-spectrometer with diffraction limited spatial resolution Opt
Express 2013, 21, 8357.
(18) van Wilderen, L. J.; Lincoln, C. N.; van Thor, J. J.Modelling multi-
pulse population dynamics from ultrafast spectroscopy PLoS One 2011, 6, e17373.
(19) van Thor, J. J.; Ronayne, K. L.; Towrie, M.; Sage, J. T.Balance
between ultrafast parallel reactions in the green fluorescent protein has a structural
origin Biophys J 2008, 95, 1902.
(20) van Thor, J. J.; Georgiev, G. Y.; Towrie, M.; Sage, J. T.Ultrafast and
low barrier motions in the photoreactions of the green fluorescent protein J Biol Chem
2005, 280, 33652.
(21) van Thor, J. J.; Pierik, A. J.; Nugteren-Roodzant, I.; Xie, A.;
Hellingwerf, K. J.Characterization of the photoconversion of green fluorescent protein
with FTIR spectroscopy Biochemistry 1998, 37, 16915.
(22) He, X.; Bell, A. F.; Tonge, P.Isotopic Labeling and Normal-Mode
Analysis of a Model Green Fluorescent Protein Chromophore J Phys Chem B 2002,
106, 6056.
(23) van Thor, J. J.; Ronayne, K. L.; Towrie, M.Formation of the early
photoproduct lumi-R of cyanobacterial phytochrome cph1 observed by ultrafast mid-
infrared spectroscopy J Am Chem Soc 2007, 129, 126.
(24) Hamm, P.; Ohline, S. M.; Zinth, W.Vibrational cooling after ultrafast
photoisomerization of azobenzene measured by femtosecond infrared spectroscopy
doi:http://dx.doi.org/10.1063/1.473392 The Journal of Chemical Physics 1997, 106,
519.
(25) van Thor, J. J.; Zanetti, G.; Ronayne, K. L.; Towrie, M.Structural
events in the photocycle of green fluorescent protein J Phys Chem B 2005, 109,
16099.
(26) Pulay, P. F., G.; Pang, F.; Boggs, J.E.Systematic ab initio gradient
calculation of molecular geometries, force constants, and dipole-moment derivatives J
Am Chem Soc 1979, 101, 2550.
(27) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb,
M. A.; Cheeseman, J. R.; Scalmani, G.; Barone, V.; Mennucci, B.; Petersson, G. A.;
et al.. Gaussian 09, Revision A.02; Gaussian, Inc.: Wallingford, CT, USA, 2009.
(28) Barth, A.; Zscherp, C.What vibrations tell us about proteins Q Rev
Biophys 2002, 35, 369.
(29) Rudiger, M.; Haupts, U.; Gerwert, K.; Oesterhelt, D.Chemical
reconstitution of a chloride pump inactivated by a single point mutation Embo J 1995,
14, 1599.
(30) Stavrov, S. S.; Solntsev, K. M.; Tolbert, L. M.; Huppert, D.Probing the
decay coordinate of the green fluorescent protein: arrest of cis-trans isomerization by
the protein significantly narrows the fluorescence spectra J Am Chem Soc 2006, 128,
1540.
(31) Andersson, M. P.; Uvdal, P.New Scale Factors for Harmonic
Vibrational Frequencies Using the B3LYP Density Functional Method with the
Triple- Basis Set 6-311+G(d,p) The Journal of Physical Chemistry A
J. Phys. Chem. A 2005, 109, 2937.
Page 45 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960
46
Table of Content Graphic
Page 46 of 46
ACS Paragon Plus Environment
The Journal of Physical Chemistry
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960