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Zurich Open Repository and Archive University of Zurich Main Library Winterthurerstr. 190 CH-8057 Zurich www.zora.uzh.ch Year: 2011 A consistent picture of the proton release mechanism of oNBA in water by ultrafast spectroscopy and ab initio molecular dynamics Donten, M L; Hamm, P; VandeVondele, J http://www.ncbi.nlm.nih.gov/pubmed/21222460. Postprint available at: http://www.zora.uzh.ch Posted at the Zurich Open Repository and Archive, University of Zurich. http://www.zora.uzh.ch Originally published at: Donten, M L; Hamm, P; VandeVondele, J (2011). A consistent picture of the proton release mechanism of oNBA in water by ultrafast spectroscopy and ab initio molecular dynamics. Journal of Physical Chemistry. B, 115(5):1075-1083.

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Page 1: A consistent picture of the proton release mechanism of …...Zurich Open Repository and Archive University of Zurich Main Library Winterthurerstr. 190 CH-8057 Zurich Year: 2011 A

Zurich Open Repository and Archive

University of ZurichMain LibraryWinterthurerstr. 190CH-8057 Zurichwww.zora.uzh.ch

Year: 2011

A consistent picture of the proton release mechanism ofoNBA in water by ultrafast spectroscopy and ab initio

molecular dynamics

Donten, M L; Hamm, P; VandeVondele, J

http://www.ncbi.nlm.nih.gov/pubmed/21222460.Postprint available at:http://www.zora.uzh.ch

Posted at the Zurich Open Repository and Archive, University of Zurich.http://www.zora.uzh.ch

Originally published at:Donten, M L; Hamm, P; VandeVondele, J (2011). A consistent picture of the proton release mechanism ofoNBA in water by ultrafast spectroscopy and ab initio molecular dynamics. Journal of PhysicalChemistry. B, 115(5):1075-1083.

http://www.ncbi.nlm.nih.gov/pubmed/21222460.Postprint available at:http://www.zora.uzh.ch

Posted at the Zurich Open Repository and Archive, University of Zurich.http://www.zora.uzh.ch

Originally published at:Donten, M L; Hamm, P; VandeVondele, J (2011). A consistent picture of the proton release mechanism ofoNBA in water by ultrafast spectroscopy and ab initio molecular dynamics. Journal of PhysicalChemistry. B, 115(5):1075-1083.

Page 2: A consistent picture of the proton release mechanism of …...Zurich Open Repository and Archive University of Zurich Main Library Winterthurerstr. 190 CH-8057 Zurich Year: 2011 A

A consistent picture of the proton release mechanism ofoNBA in water by ultrafast spectroscopy and ab initio

molecular dynamics

Abstract

With a combination of transient pump-probe IR spectroscopy and ab initio moleculardynamics, the controversial pico- and nanosecond steps of the o-nitrobenzaldehyde (oNBA)photoreaction have been investigated in aqueous solution. In this way, the measured reactionkinetics have been complemented with an atomistic picture of the reactive events as obtainedwith unbiased simulations in explicit solvent. Our results allow for a detailed description ofthe oNBA proton photorelease, a process of fundamental importance and relevant to the use ofoNBA as a proton cage in many experiments. In a first step, a stable ketene intermediate isformed on a subpicosecond time scale. This intermediate reacts in a solvent assisted way withan OH transfer to produce nitrosobenzoic acid with a characteristic time of 7 ps. Finally, inpermitting pH conditions, this product molecule dissociates a carboxyl proton with a 21 nstime constant. The particular combination of theory and experiment employed in this workappears to be sufficiently general and powerful to find widespread application in the study ofultrafast reactive systems.

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A consistent picture of the proton release mechanism of

oNBA in water by ultrafast spectroscopy and ab initio

molecular dynamics

Mateusz L. Donten, Peter Hamm, Joost VandeVondele*

University of Zurich, Institute of Physical Chemistry, Winterthurerstrasse 190, 8057 Zurich,

Switzerland

*) [email protected]

ABSTRACT. With a combination of transient pump-probe IR spectroscopy and ab initio molecular

dynamics, the controversial pico- and nano-second steps of the o-Nitrobenzaldehyde photoreaction

(oNBA) have been investigated in aqueous solution. In this way, the measured reaction kinetics have

been complemented with an atomistic picture of the reactive events as obtained with unbiased

simulations in explicit solvent. Our results allow for a detailed description of the oNBA proton photo

release, a process of fundamental importance, and relevant to the use of oNBA as a proton cage in many

experiments. In a first step, a stable ketene intermediate is formed on a subpicoseconds time scale. This

intermediate reacts in a solvent assisted way with an OH transfer to produce nitrosobenzoic acid with a

characteristic time of 7 ps. Finally, in permitting pH conditions, this product molecule dissociates a

carboxyl proton with a 21 ns time constant. The particular combination of theory and experiment

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employed in this work appears to be sufficiently general and powerful to find widespread application in

the study of ultrafast reactive systems.

KEYWORDS. Ortho-Nitrobenzaldehyde, photo acid, caged proton, time resolved vibrational

spectroscopy, reaction kinetics, ab initio molecular dynamics

Introduction

The photochemistry of ortho-Nitrobenzaldehyde (oNBA) is of fundamental interest and practical

importance in modern science. oNBA is a model compound to study the reactivity of nitro aromatic

molecules, and at the same time finds application as caged compound. In this work, we combine time

resolved IR spectroscopy with ab initio molecular dynamics (AIMD) simulations to provide a detailed

picture of the mechanism of the proton release reaction in oNBA. The reactive steps, which happen in

the pico- to nanosecond timescale, have not yet received the same level of attention as the ones

happening directly after the photoexcitation, which have been studied extensively. In order to resolve

the reaction mechanism, which remained controversial over the last decades, significant progress has

been made by the repeated observation of the reactive step in unbiased AIMD simulations that take the

solvent explicitly into account. The presented results demonstrate convincingly that modern

spectroscopic and simulation approaches have reached a level of sophistication that allows for a routine

combination of both techniques.

The oNBA photoreaction was reported by Silber and Ciamician already in 1901[1]. Under irradiation

the oNBA molecule, scheme 1a, transforms to a carboxyl nitroso-acid, scheme 1c, which dissociates a

proton. Currently, this cage molecule is highly important for projects that investigate the kinetics of pH

controlled processes such as protein folding[2,3]. Similarly, nitrobenzyles are used as optically

controlled protection groups[4] in syntheses of great practical biochemical importance [5]. Furthermore,

oNBA is a nitro-aromatic molecule belonging to a wide group of compounds that is recognized as

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common industrial pollutant. Insight in the rich photochemistry of this model is essential to understand

the environmental impact of these molecules.[6,7].

Scheme 1. Molecular structures of (A) oNBA, (B) the established ketene reaction intermediate and (C)

the nitroso-carboxyl photo product.

Starting in the 1980's time resolved spectroscopy and matrix isolation experiments revealed first

details of the reaction mechanisms[6,8,9]. Particularly important was the identification of a ketene

intermediate[10, 11] (scheme 1b). However, a shortcoming of the early work, due to the low solubility

of oNBA in water and the ultrafast character of the initial reaction steps in protic solvents, is that all

experiments were performed in organic or mixed solvents. The following information is now firmly

established: oNBA upon UV irradiation (typically 266nm) is excited to a reactive state [12] from which

two reaction channels were identified. On a sub-picosecond time scale (400fs) the ketene, scheme. 1b,

forms via a singlet state. In aprotic solvents a second reactive path with a time constant of about 200ps

was observed[13,14]. This channel is likely to involve a triplet radical. The ketene intermediate was

observed in cryo-matrices[10] and thoroughly examined in water-ethanol and acetonitrile solvents with

time resolved IR absorption spectroscopy and stimulated Raman scattering[11,14,15]. It was identified

and monitored in the IR by a band transiently appearing at 2100 cm-1

. The ketene was found formed hot,

undergoing a thermalization taking about 1ps and then being consumed with a rate strongly dependent

on the solvent. Lifetimes span a wide range from over 1ns in aprotic solvents [32] down to 13ps in a

water-EtOH mixture[14]. Surprisingly, despite the strong dependence of the rate of the reaction on the

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solvent, the total yield remains close to 50%. This observation is explained by assuming that the

complete yield of the reaction is determined in its first step as a competition between the ketene creation

process and the electronic relaxation of the substrate. With less definite interpretation, the fate of the

ketene intermediate has been discussed based on time resolved stimulated raman data and DFT

calculations. For experiments performed in organic and mixed solvents a second intermediate has been

reported [6, 8, 9, 11]. The proposed structures of this intermediate differ in their details, but all those

possible in water feature a lactone motive with an oxygen bridge between nitrogen and a ketene carbon

atom.

Our goal is to establish the reaction mechanisms and timescales for the decay of the ketene

intermediate and the release of the proton in aqueous solution. This is essential information for

experiments where oNBA is employed as a cage molecule to deliver pH changes, and water is the

natural solvent for experiments aimed at following pH induced dynamics or reactivity, for example, the

folding of peptides[2]. We therefore focus on the spectral signature of the formed carboxyl group, and

investigate the reaction as a function of pH. Modern time resolved IR experiments allow for overcoming

the challenges related to the low solubility of oNBA and the fast character of the reaction. The

experimental effort is rewarded with the unique opportunity to combine the experiments with advanced

theoretical modeling thanks to the match in timescales available to both MD simulations and laser

spectroscopy. Indeed, starting from the well established ketene intermediate, reliable ground state DFT

calculations can be performed to follow the dynamics of the system, in the explicit presence of the

solvent, for several tens of picoseconds. Given the fast reaction dynamics in water, this allows us to

observe the reactive events, unbiased by prior knowledge. Anticipating our results, this approach allows

us to identify a direct pathway from the ketene intermediate to the carboxyl acid.

Experimental methods

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Measurement setup. Experimental data were collected using a transient IR absorption UV pump-IR

probe technique. A 800nm Ti:Sapphire oscillator/amplifier laser system with 1kHz pulse repetition rate

was used. For pumping the third harmonic of the Ti:Sapphire light centered at 266nm was generated

with beta barium borate (BBO) crystals. IR probe pulses covering the range from 1300 cm-1

to 2200 cm-

1 with windows of about 200 cm

-1 bandwidth came from an optical parametric amplifier (OPA)

following the design by Hamm et al. [16]. Spectra were recorded with a 64 channel MCT IR detector

after dispersing the IR pulses in a spectrometer. The overall response time of this setup was 300fs. The

experiments required observation of reaction times reaching tens of nanoseconds. When ultrafast

processes up to 1ns delay time were monitored, one Ti:Saphire laser system was involved and the

pumping beam was delayed on a step-motor controlled delay-stage. In case of measurements exceeding

1ns of probing time the setup was using light coming from two synchronized Ti:Samphire amplifiers.

This solution allows continuous delay scanning from pico to microseconds with a typical jitter of 10 ps

limited by the electronics’ accuracy. The technical details of this specially designed system can be found

in Ref. [17]. The sample was probed in a 150µm diameter IR focus overlaid with a larger spot size of

the pump delivering up to 3µJ of light per pulse. Since the photoreaction is irreversible, the sample was

exchanged by flowing through the probing point. The total sample volume was chosen large enough so

that the accumulation of products could be neglected. Due to the high power of the UV-pump causing

damage to window material the use of flow cells was impossible. Samples were introduced to the setup

in a flowing jet film created with a device inspired by works of Tauber et al. [18]. The sample film was

spanned on 200µm diameter tungsten wires and in its thinnest point measures 25-75µm. The obtained

films were stable for several minutes and rebuild spontaneously and reproducibly after rupture.

Sample material. oNBA was obtained from Sigma Aldrich, puriss. p.a. ≥99.0%, and used as

delivered. Saturated solutions were prepared in 99.8% D2O, reaching concentration of about 8mM,

according to reported solubility [2]. The pH of the solutions was adjusted to desired values of 1 and 3 by

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adding D2O diluted concentrated HCl and to pH 7 and 10 with a D2O solution of NaOH. The addition of

bases and acids was small and the 1H

contamination could be ignored.

Theoretical methods. Ab initio molecular dynamics simulations based on density functional theory

have been performed using the Quickstep module of the CP2K package[19]. Results have been obtained

using the BLYP-D functional, which combines functionals for exchange[20] and correlation[21] with a

correction term for van der Waals interactions[22].Calculations employ pseudo potentials[23], a 280Ry

cutoff for the density grid and a TZV2P basis[19] for all atoms. The orbital transformation (OT)

minimization[24] has been employed for the self consistent field (SCF) procedure with a convergence

criterion of 1E-6. Molecular dynamics is performed using a time step of 0.5 fs. A similar setup yields a

satisfactory structure and density for liquid water[25]. The present system is modeled using a cubic unit

cell (edges of 12.4138Å) containing the solute and 59 water molecules. The initial geometry for the

reactive trajectories has been obtained by 18ps of AIMD equilibration at 330K of the solvent, keeping

the solute fixed at its gas phase optimized geometry. Using an equilibrium temperature for the ketene is

an approximation which will only be accurate if the timescale of cooling is shorter than the timescale of

the reaction. The hot ketene fraction is known to react faster than the thermal population [13]. Forty

reactive trajectories start from this geometry, and are computed in the micro-canonical ensemble using

randomized initial velocities consistent with a temperature of 330K for all atoms. One advantage of MD

over free energy based approaches is that reaction coordinates, which might be complex if for example

the solvent plays an active role, do not need to be specified a priori. Furthermore, the obtained reaction

rates take dynamical effects, such as re-crossing, directly into account.

Results

Vibrational band assignment. A static photolysis experiment has been employed to measure the

difference FT-IR spectrum of the sample while irradiating the oNBA solution with deuterium lamp

light. The spectra were referenced to the fresh solution background and were taken in a 25µm thick cell.

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The result presented in Fig. 1 was used to find marker bands for time resolved measurements. Band

assignment of this spectrum allowed to identify the following vibrational modes related to the reactant:

at 1696 cm-1

ν(C=O), 1533 cm-1

νasNO2, 1353 cm-1

νsym NO2. For the product, vibrational modes arising

from the nitroso and carboxyl groups where found. The position of the second was subjected to

protonation changing the IR fingerprint of the group: for carboxylate (basic solutions) the νas and νsym

are at 1570 cm-1

and 1385 cm-1

respectively. Those bands would disappear giving rise to the protonated

carboxyl group ν(C=O) mode at about 1700cm-1

in acidic environment. The nitroso group appeared in

the spectra at 1605 cm-1

. When comparing spectra of the protonated and dissociated acid an increase in

intensity of the NO vibration is observed when the neighboring carboxylate band is present. Since

protonation of the acid group does not directly change the character of the nitroso group, the pH

dependence of this mode is attributed to a coupling between the nitroso and the carboxylate vibrations.

The band assignment for oNBA was based on values reported by Kalaichelvan et al. and Dunn et al.

[26,27] and supported with DFT calculations. For obtaining the theoretical spectra Gaussian03 [28] was

used at the B3LYP/6-311++g(d,p) level of theory. For the nitroso compound it was based on

comparison with experimentally available FTIR spectra of oNitrobenzoicacid and on DFT calculations

performed at the same level of theory.

Figure 1. oNBA photolysis difference spectra in alkaline and acidic environment

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Time resolved IR spectroscopy. As illustrated in Fig. 2, upon optical pumping, a well separated,

characteristic ketene IR mode is transiently observed at about 2100cm-1

[11,29,30]. The raise and decay

of this signal on picosecond timescales correspond to the first two reaction steps of the mechanism

described in the introduction. Measurements at pH 1, 3, 7 and 10 confirmed the expectation that the

reaction kinetics of these steps is insensitive to pH. Initiation of the photoreaction is as well marked by a

bleaching of the spectral bands associated with oNBA. After just 500fs, the ketene signal is well visible.

Initially the band is rather broad and centered at 2080 cm-1. Within picoseconds the ketene band moves

towards its final position at 2119 cm-1, while at the same time it becomes narrower. These spectral

features indicate the ketene being formed hot, in agreement with earlier experiments [11]. The ketene

signal starts disappearing when cooling ends. For quantitative evaluation the peak intensity (integral)

and the position of the maximum was plotted as a function of time, see Fig 2. These plots were fitted

with a biexponential and an exponential function respectively. As a result the following kinetics were

assigned: ketene creation and disappearance: 0.7ps and 7ps respectively, and cooling: 1ps. In Ref. 13, a

band in the IR spectrum at 1815cm-1 has been attributed to an intermediate biradical species. Also here,

a weak band can be noticed at that position at intermediate timescales (Fig 3a and 4a). The low intensity

of this peak suggests a very minor population of that transient conformer in aqueous solution.

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10-1 100 101 102 103-5

0

5

10

15

20

2070

2080

2090

2100

2110

2120

2040 2080 2120 2160

0.0

0.3

0.6

0.9

1.2

1.5

3.1ps

27.4ps

0.50ps

wavenumber (cm-1)ab

sorb

ance

cha

nge

(mO

D)

abso

rban

ce c

hang

e in

tegr

al (

a.u.

)

peak

pos

ition

(cm

-1)

time (ps)

peak:integral

1ps

7ps

0.7ps

position

R C O

10-1 100 101 102 103-5

0

5

10

15

20

2070

2080

2090

2100

2110

2120

2040 2080 2120 2160

0.0

0.3

0.6

0.9

1.2

1.5

3.1ps

27.4ps

0.50ps

wavenumber (cm-1)ab

sorb

ance

cha

nge

(mO

D)

abso

rban

ce c

hang

e in

tegr

al (

a.u.

)

peak

pos

ition

(cm

-1)

time (ps)

peak:integral

1ps

7ps

0.7ps

position

R C O

Figure 2. Transient difference absorption spectra of the ketene band. Spectra for characteristic

reaction times are presented in the upper panel, the lower panel presents extracted kinetic traces of the

peak integral intensity and maximal intensity position. Extracted reaction and cooling kinetics are

illustrated with fits and indicated with time constants.

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On a similar timescale as the ketene reaction, a process can be observed in the carbonyl region of the

transient spectra. The strong aldehyde bleach at 1700 cm-1

is overlaid with a positive band as the

reaction progresses, Fig 3 a and 4a. We associate the positive band with a C=O bond being formed in

the system. The spectral intensity determined at the wing of the entangled peaks, where the impact of

the bleach is minimal, also rises with a 7ps time constant. This coincidence of timescales suggests that a

product containing a C=O bond is formed in the ketene reaction. The long time scale kinetics of this

positive contribution is strongly pH dependent as can be noticed comparing traces presented in Fig. 3a

and 4a corresponding to acidic and alkaline conditions respectively

100 101 102 103 104 105 106

1520 1560 1600 1640

-2

-1

0

75ps

4.5ps

100ns

0.2ps

100

101

102

103

104

105

106

1640 1680 1720 1760 1800 1840

-2

-1

01.0ns

0.7ps

100ns

20ps

R C

O

H

R C

O

O H

1707 cm-1

1736 cm-1 (-COOH)A

B

wavenumber (cm-1)

abso

rba

nce

cha

nge

(m

OD

)

time (ps)

1543 cm-1 (-NO2)R N

O

O

Figure 3. Transient difference absorption spectra of bands associated with oNBA and the final carboxyl

product recorded in acidic solution conditions (pH=1) – no proton release. Spectra for characteristic

reaction times are presented on the left, extracted kinetic traces are shown on the right. In those traces

kinetics of 7ps, 9ps and 21ns were globally fitted. Full points correspond to measurements performed

with one laser system, for hollow points two synchronized laser systems were used (see experimental

methods).

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Other information about the early steps of the reaction can be extracted from the bleach of the aldehyde

band itself, Fig. 3a and 4a. It appears on a sub-picosecond time scale illustrating the electronic

excitation of the reactant. Similarly instant bleach is observed at the spectral position of the nitro group,

Fig 3 b and 4 b,c. These bleaches recover with time. The extent of this recovery differs, for the nitro

group it is slightly more than 50% while it reaches 80% for the C=O vibration. The recovery of the nitro

bands allows for estimating the recovery of oNBA in a back reaction, while the larger recovery of the

carbonyl stretch band is an effect overlapping C=O modes in oNBA and the product of the ketene

reaction. An exponential fit done globally over the C=O and NO2 normal mode bleaches yields a 9ps

recovery time (see Tab. 1).

1640 1680 1720 1760 1800 1840

-2

-1

0

0.7ps

250ps

100ns

20ps

1520 1560 1600 1640-6

-4

-2

0

2

0.50ps

316ps

3.3ps

100ns

100 101 102 103 104 105 106

1360 1400 1440-3

-2

-1

0

1

0.2ps

100ps

2.0ps

100ns

100 101 102 103 104 105 106

100 101 102 103 104 105 106

R C

O

H

R N

O

O

R N

O

O

R C

O

O

-

R C

O

O

-

1707 cm-1

1736 cm-1 (-COOH)

1575 cm-1 (-COO-)

1545 cm-1 (-NO2)

1402 cm-1 (-COO-)

1361 cm-1 (-NO2)

wavenumber (cm-1)

abso

rban

ce c

hang

e (m

OD

)

time (ps)

A

B

C

1640 1680 1720 1760 1800 1840

-2

-1

0

0.7ps

250ps

100ns

20ps

1520 1560 1600 1640-6

-4

-2

0

2

0.50ps

316ps

3.3ps

100ns

100 101 102 103 104 105 106

1360 1400 1440-3

-2

-1

0

1

0.2ps

100ps

2.0ps

100ns

100 101 102 103 104 105 106

100 101 102 103 104 105 106

R C

O

H

R N

O

O

R N

O

O

R C

O

O

-

R C

O

O

-

1707 cm-1

1736 cm-1 (-COOH)

1575 cm-1 (-COO-)

1545 cm-1 (-NO2)

1402 cm-1 (-COO-)

1361 cm-1 (-NO2)

wavenumber (cm-1)

abso

rban

ce c

hang

e (m

OD

)

time (ps)

A

B

C

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Figure 4. Transient difference absorption spectra of bands associated with oNBA and the final carboxyl

product recorded in alkaline solution conditions (pH=10) –proton release. Same layout as for Figure 3.

When comparing Figures 3 and 4, the intensity of the signals recorded in the ns timescale clearly

reflects the fact that the protonation state of the carboxyl group of the final product depends on the pH

of the solution. The appearing positive carbonyl signal around 1700 cm-1

remains in the spectra for

several hundred picoseconds, independent of the pH, and later disappears in the data collected at pH=10

in the nanosecond time scale. The carboxylate bands behave correspondingly. They are not formed in

acidic solution, while they appear in the alkaline case. Their kinetics matches the nanosecond evolution

of the carbonyl band, and in a global fit, a time constant of 21 ns has been obtained (see Tab. 1).

Table 1. Fitting methods and results.

Process IR Band Figure panel Fitting method Time constant

Ketene creation 0.7 ps

Ketene disappearance

Biexponential,

peak integral 7 ps

Ketene cooling

=C=O 2

Exponential,peak max. 1 ps

Carboxyl creation -COOH 3a and 4a 7 ps*

oNBA regeneration -COH, -NO2 3 b and 4 b, c 9 ps

Carboxyl proton release -COO-

4 a and b

Three exponential

components,

global over all data 21 ns

*) fixed from the ketene disappearance

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Simulation results. Forty independent molecular dynamics simulations, starting from the water

solvated ketene intermediate, have been performed. Each of these simulations yielded, within at most

20ps, a reactive event. The key steps for one such run are depicted in Fig. 5. In all cases the OH group

was transferred and no intermediates or back reaction processes were observed. The transferred OH

group interacts strongly, through a hydrogen bond, with a neighboring water molecule. In 10% of the

reactions the proton was even transferred to the assisting water molecule and a deprotonated acid was

formed. The large majority of the trajectories formed the protonated acid, which did not dissociate for

the remainder of the simulation (up to 33ps). The protonated molecules were formed in two different

conformations, either with the OH group hydrogen bonded to the solvent, or forming an internal

hydrogen bond. The latter case was obtained in only 6 runs (15%), and is not the final product, since in

two cases it interconverted to the solvent bonded conformation within 18ps of additional simulation

time.

Figure 5. Shown are snapshots from an ab initio molecular dynamics simulation starting from the

ketene intermediate in aqueous solution. The formation of the acid takes place after about 5.5ps, and

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leads directly from the ketene to the acid. The transfer of the OH group is assisted by a hydrogen-

bonded water molecule. The corresponding molecular dynamics animation is available as

supplementary material.

The MD snapshots show that the process only requires relatively minor atomic rearrangements, and

that it happens on a fast time scale. This is quantified by the data in Fig. 6, where the time series of the

N-O and O-C distances also indicates that the molecule changes directly from the ketene arrangement to

the carboxyl structure, without a stable intermediate. In a concerted way, the C-C bond lengths in the

ring are equalized, and aromaticity is restored, while bonds in the functional groups change their lengths

according to the expected bond order. All these changes happen within a few bond oscillations

(≈150 fs). The structural data also suggests that a pyramidalization of the protonated nitro group is a

potentially important component of the reaction coordinate as well as bending fluctuations of the ketene.

This appears to bring the molecule in the proper conformation for initiating the transfer.

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Figure 6. Bond lengths as observed during the MD simulation illustrate the rapid and concerted reaction

mechanism in which the ketene directly reacts to the acid product. In order to represent the data clearly,

data has been averaged using a 25fs window to reduce the instantaneous fluctuations.

The MD simulations discussed so far have been performed assuming a closed shell electronic

structure, thus excluding a radical pathway. We have verified with a single additional simulation

allowing for open shell electronic configurations that no significant spin polarization occurs during the

reactive event. The Mulliken partial charges of the transferred oxygen change in a contiguous way from

values typical for the ketene intermediate to values characteristic for the protonated carboxyl group.

This adds further support to the picture of the reaction step as a continuous and fast process with no

distinct intermediates.

Even though the action of the solvent is essential in the reaction process, it is instructive to investigate

the reaction in the gas phase. Using the nudged elastic band (NEB) method [31] a total energy profile

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which ignores entropy, for the reaction has been computed. In Fig. 7, this data is presented together with

selected snapshots.

Figure 7. Gas phase total energy profile as obtained with the NEB method and the corresponding N-O

and O-C distances. The protonated acid is shown in two conformers: with and without internal hydrogen

bond (ACID1 and ACID2 respectively). The energy profile illustrates the low barrier (TS1) to go from

the ketene to the acid product, and the strong exothermic character of this reaction. In the gas phase, the

barrier between ACID1 and ACID2 (TS2) is sizeable.

Clearly, the reaction is highly exothermic, which suggest that it will be irreversible. At the same time

only a small barrier separates the ketene from the acid, and the energy decreases rapidly as a function of

the N-O and O-C distance difference. For a solvent assisted reaction, the barrier could be further

reduced. For this gas phase system, the product side displays two minima, corresponding to two

conformers of the protonated acid in which the carboxyl proton either points towards the vacuum or

hydrogen bonds with the neighboring nitrogen atom. In the presence of a hydrogen bonding solvent, as

demonstrated by our simulations in explicit water, the internal hydrogen bond is not the final

configuration of the product, However, this configuration could be dominant in media such as benzene

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or acetonitrile, and affect the proton release time constant. The barrier between the two conformers is

larger than the barrier between the ketene and he acid, suggesting a longer timescale for interconversion,

consistent with our MD simulations.

Discussion

Early reaction steps. The oNBA reactive state and the first reaction steps can be considered the same

in water solutions as they were identified in other, mainly aprotic, solvents. In water, a single observed

time constant for ketene creation suggests that only one reactive channel is dominantly active to produce

the ketene. The slower reaction channel indicated with the peak at 1820cm-1

can be considered

significantly less favorable.. The picture of the reaction mechanism beyond the ketene intermediate has

been obtained combining the experimental spectral data and computational modeling. Excellent

agreement is obtained between the decay of the ketene population in the forty MD simulations, and of

the ketene signal in the experimental spectral data. Both signals are shown if Fig. 8, together with a

fitted exponential decay with a time constant of 7ps.

Figure 8. Comparison of the time dependence of the ketene population from MD simulation and the

ketene signal from ultrafast spectroscopy. The experimental peak intensity has been normalized to

match the simulation data at 0ps. The MD simulation and the experiment both match very well the fitted

exponential decay with a 7ps time constant

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Our results confirm that the hydrogen bonding character of the solvent will promote the ketene to

react faster. Given that the cooling of the ketene intermediate in aqueous solution takes place on a 1ps

timescale, the 7ps refers to the lifetime of cold molecules. In organic solvents, the thermalized ketene

has nanosecond lifetimes [13]. The role of a protic solvent in accelerating the reaction can be illustrated

by comparing the 7 ps measured now in pure water with the related time constants of tens of

nanoseconds in benzene [8], a few nanoseconds for other aprotic solvents [32], 90ps in EtOH, and 13ps

in a 1:1 EtOH:H2O mixture [11]. Direct observation of the reaction in ab initio MD simulations shows

the role of the solvent in coordinating the transferred OH group via a strong hydrogen bond.

Final reaction steps. The C=O vibrational band, visible as a positive signal around the aldehyde

bleach, is rising as the ketene intermediate is consumed and delivers evidence for a carbonyl residue in

the formed molecule (Fig. 3 a and 4 b, spectra at 20ps). This observation supported by the MD

simulations provides insight into the reaction mechanism in water. Several earlier papers dealing with

the reaction in organic solvents consider bridged intermediates in which one of the oxygen originating

from the nitro group is bonded to both a nitrogen atom and a carbon atom coming from the aldehyde

group to form a lactone ring. This type of bridged structures – their details differ significantly, was

present in the two distinct mechanisms for the oNBA photoreaction that have been proposed: involving

a ketene intermediate and the biracial mechanism. These intermediates were also discussed in more

detail by Laimgruber et al. Ref. 11, where the reaction was studied in a mixture of ethanol and water.

Scheme 2. Hypothetic intermediate structures for the oxygen transfer process

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Here, we discuss why the most commonly proposed intermediates for the second step of the reaction,

shown in scheme 2, are unlikely to be present in the reaction chain:

1) Structure A is characterized by the extra hydrogen atom on the ring, and the corresponding

single C-C bond in the five membered ring. Density functional calculations of the vibrational spectrum

predict a C=O vibration at 1860 cm-1

, which is nearly 100 cm-1

and 50 cm-1

higher than the values

predicted for the C=O stretch in oNBA and carboxyl respectively. This band was searched for in the

experimental spectra without success, and a pathway to this structure was not observed in the MD

simulations. Additionally, the bond lengths observed during the MD simulations (Fig. 6) show that

aromaticity is restored in the ring, as soon as the ketene reacts. We therefore exclude this structure as a

stable intermediate.

2) Structure B should be considered unlikely, since the spectroscopic data clearly shows that a C=O

mode appears while the ketene reacts. Such a mode is not present in the proposed intermediate. Also

this structure is non-aromatic, contrary to what the MD simulations yield.

3) Structure C is in agreement with the spectroscopic signature of a C=O mode. Furthermore, it can

actually be considered as a fully deprotonated equivalent of the structure seen in the MD simulation

(Fig. 5, frame at 5747fs). However, in the calculations this structure only appears transiently. This is

particularly clear in panel A of Fig. 6, where the N-O and O-C bonds are broken and established in a

time of a few bond oscillations. This structure is therefore rather similar to a transition state than to a

stable intermediate with an associated life time.

The most convincing explanation for the dynamics of the carbonyl and carboxylate signals is thus that

the ketene decays to the final product without intermediate stable enough to be accumulated and

detected. The pathway and lifetime are consistent with those observed in the ab initio MD simulations.

The transient nature of the bridged structures seen in MD, the shape of the potential energy profile

computed in the gas phase, and the fact that all observed IR bands can be assigned by the identified

molecules (oNBA, ketene intermediate, nitrosoacid product) are clear arguments against bridged

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intermediates. With the direct mechanism proposed here, the nitrosobenzoic acid will initially form

protonated, which is indicated by the carbonyl band arising with kinetics equivalent to the

disappearance of the ketene. This molecule will further dissociate depending on the pH of its

environment with a characteristic time of about 20ns. This dissociation process can be observed in the

nitrosoacid’s fingerprint directly by seeing the carbonyl band disappear and the carboxylate absorption

grow.

Structural changes in the acid molecule. Careful examination of the C=O band of the protonated

acid, which unfortunately overlaps with the initial aldehyde bleach, provides further fine detail about the

formed molecule. Indeed, the global fit shown in Fig 3a and Fig. 4a, is slightly mismatched in the time

range of a few hundred picoseconds. This mismatch can be improved by fitting an extra exponential

with a 300ps time constant. To understand the origin of this signal, difference transient absorption

spectra (shown in Fig. 9a) have been analyzed. The difference was taken between the spectrum

observed at 26ps and the ones recorded at later times. Employing a reference at 26ps allows for

eliminating contributions from the ketene reaction and the aldehyde bleach recovery, which have

characteristic times below 10ps.

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Figure 9. Protonated carboxyl group C=O mode shift analysis: A) changes in the time resolved

difference spectra relative to the peak shape at 26ps, B) vibrational bands obtained from AIMD for the

two carboxyl conformers, C) original time resolved spectra.

Panel A in fig. 9 shows a red shift of the positive contribution to the convoluted peaks, by yielding a

minimum at 1723 cm-1

and a peak at 1707cm-1

. This shift can be explained by a transition between the

two conformers of the acid as observed in the MD simulations, and predicted with the gas phase

calculations. Rotating the hydroxyl group from nitrogen towards the solvent affects the solvation pattern

of the molecule, and can well induce a spectral shift of the carbonyl. This was confirmed by computing

the C=O stretch spectrum (Fig. 9b) for the two conformers, using a Fourier transform of the

autocorrelation function of the bond lengths as obtained during the MD simulation[33

]. The conformer

with the internal hydrogen bond has the C=O band at higher frequency, and the frequency shift between

the two conformers is approximately 20cm-1

, in agreement with experimental data.

oNBA recovery. The identified reaction mechanism sheds also light on the back reaction channel,

which is known to be nearly solvent-independent with a 50% yield of the photo-process. A hypothetical

back reaction from the only stable intermediate – the ketene – can be excluded based on experimental

data and the theoretical results. Indeed, the ketene lifetime, contrary to the yield, depends strongly on

the solvent. If the ketene would be the starting point for the back reaction, a solvent dependence would

be expected in the yield. Furthermore, no back reaction or rearrangements towards the original substrate

have been observed in the MD simulations, and it can be safely assumed that a back reaction from the

nitroso product is energetically not possible. The current data therefore suggests that the branching

between the effective and back channels happens very early, likely in the electronically excited state.

The recovery of the reactant observed on a time scale of 9ps, slow compared to electronic phenomena

and the ketene formation, can be explained by a back reaction channel bringing oNBA to its vibronic

hot state or a relaxation on an indirect path involving electronic states that do not lead to the reactive

channel.

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Conclusions

The collected experimental and theoretical data combined allow for building a consistent picture of

the final steps of the oNBA photo-reaction mechanism in pure aqueous solution. Indeed, covering the

full reaction timescales with the experimental setup, and the ps timescale with ab initio MD, clear

evidence for a direct transformation of the ketene intermediate to the acid is obtained. Bridged

intermediates, as postulated in earlier works for nonaqueous solutions, were not found. Indeed, the

kinetics observed in the experiment can be interpreted with the five following chemical processes: 1 -

ketene formation, 2- its cooling, 3 - the ketene reacting to the protonated carboxylacid form, 4- the

oNBA recovery back reaction, and 5- acidic dissociation. The latter process is relatively slow - a 21 ns

life time can be associated with the protonated nitroso acid form – and only happens at suitable pH

(Nitrobenzoic acid pKa<4). This information is summarized in scheme 3.

Scheme 3. Reaction mechanism and determined time constants for the oNBA photoreaction in water.

The reaction begins nearly instantly upon photo-excitation with formation of the ketene intermediate

on a time scale measured in hundreds of femtoseconds, comparable with the instrumental time

resolution. The ketene is formed hot and its cooling was well observed in the spectra with a time

constant of 0.9ps. The ketene reacts further with a characteristic time of 7ps. The spectral result of this

step is a C=O normal mode observable in the spectra. Understanding of this observation was assisted by

MD and DFT calculations which show that the ketene intermediate transforms directly into the carboxyl

acid form. The molecular rearrangement, once initiated, occurs within few bond oscillation cycles with

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no intermediate structure stabilized. The created nitrosoacid is initially found in its protonated form and

only later dissociated if the solution pH allows. The dissociation process is clearly observed and has a

characteristic time of 20ns. This step finalizes the reaction dynamics and is directly responsible for the

produced pH jump. Based on spectroscopic data, nitro group bleach, the observed quantum yield of the

reaction reached about 50% of the excited molecules. The recovery occurred fast – 9ps characteristic

time.

Finally, the methodology used in this work, which combines advanced ultrafast spectroscopy and

simulation methods, has proven to be excellent at unraveling the precise sequence of reactive events that

happen after photo excitation. Both tools have been able to fully take the solvent into account, and cover

a significant part of the relevant timescales explicitly. This approach can be straightforwardly applied to

similar ultrafast reactions in the ground state, and is therefore likely to find widespread application.

Acknowledgment. The authors thank Prof. Jay Siegel for discussions about possible reaction

mechanisms and Marco Schade for discussions and performing the Gaussian vibrational analysis. The

work has been supported by the Swiss National Science Foundation under Grant 200021-124463/1 to

PH. Computer resources were provided by the Swiss Center for Scientific Computing (CSCS) and the

university computer center.

Supporting information available: A molecular dynamics animation of the reactive event shown in

Fig. 5 is available free of charge via the Internet at http://pubs.acs.org

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SYNOPSIS TOC

With a combination of transient pump-probe IR spectroscopy and ab initio molecular dynamics, the

controversial pico- and nano-second steps of the o-Nitrobenzaldehyde photoreaction (oNBA) were

investigated in aqueous solution. In this way, the measured reaction kinetics have been complemented

with an atomistic picture of the reactive events as obtained with unbiased simulations in explicit solvent.

Our results allow for a detailed description of the oNBA proton photo release, a process of fundamental

importance, and relevant to the use of oNBA as a proton cage in many experiments. In a first step, a

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stable ketene intermediate is formed on a subpicoseconds time scale. This intermediate reacts in a

solvent assisted way with an OH transfer to produce nitrosobenzoic acid with a characteristic time of

7 ps. Finally, in permitting pH conditions, this product molecule dissociates a carboxyl proton with a

21 ns time constant. The particular combination of theory and experiment employed in this work

appears to be sufficiently general and powerful to find widespread application in the study of ultrafast

reactive systems.