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Time-resolved optical spectroscopy has become an important tool to investigate the dynamics of quantum mechanical processes in matter. In typical applications, a first “pump” pulse excites the system under investigation from the thermal equilibrium to an excited state, and a second variable time-delayed “probe” pulse then maps the dynamics of the excited system. Although advanced nonlinear techniques have been developed to investigate, e.g., coherent quantum effects, all of these techniques are limited in their spatial resolution. The laser focus diameter has a lower bound given by Abbe’s diffraction limit, which is roughly half the optical excitation wavelength—corresponding to about 400nm in the presented experiments. In the time-resolved experiments that have been suggested so far, averaging over the sample volume within this focus cannot be avoided. In this thesis, two approaches were developed to overcome the diffraction limit in optical spectroscopy and to enable the investigation of coherent processes on the nanoscale. In the first approach, analytic solutions were found to calculate optimal polarizationshaped laser pulses that provide optical near-field pump–probe pulse sequences in the vicinity of a nanostructure. These near-field pulse sequences were designed to allow excitation of a quantum system at one specific position at a certain time and probing at a different position at a later time. In the second approach, the concept of coherent two-dimensional (2D) spectroscopy, which has had great impact on the investigation of coherent quantum effects in recent years, was combined with photoemission electron microscopy, which yields a spatial resolution well below the optical diffraction limit. Using the analytic solutions, optical near fields were investigated in terms of spectroscopic applications. Near fields that are excited with polarization-shaped femtosecond laser pulses in the vicinity of appropriate nanostructures feature two properties that are especially interesting in the view of spectroscopic applications: On the one hand, control of the spatial distribution of the optical fields is achieved on the order of nanometers. On the other hand, the temporal evolution of these fields can be adjusted on the order of femtoseconds. In this thesis, solutions were found to calculate the optimal polarizationshaped laser pulses that control the near field in a general manner. The main idea to achieve this deterministic control was to disentangle the spatial and temporal near-field control. First, the spatial distribution of the optical near field was controlled by assigning the correct state of polarization for each frequency within the polarization-shaped laser pulse independently. The remaining total phase—not employed for spatial control—was then used for temporal near-field compression, which, in experimental applications, would lead to an enhancement of the nonlinear signal at the respective location. In contrast to the use of optical near fields, where pump–probe sequences themselves are localized below the diffraction limit and the detection does not have to provide the spatial resolution, a different approach was suggested in this thesis to gain spectroscopic information on the nanoscale. The new method was termed “Coherent two-dimensional (2D) nanoscopy” and transfers the concept of “conventional” coherent 2D spectroscopy to photoemission electron microscopy. The pulse sequences used for the investigation of quantum systems in this method are still limited by diffraction. However, the new key concept is to detect locally generated photoelectrons instead of optical signals. This yields a spatial resolution that is well below the optical diffraction limit. In “conventional” 2D spectroscopy a triple-pulse sequence initiates a four wave mixing process that creates a coherence. In a quantum mechanical process, this coherence is converted into a population by emission of an electric field, which is measured in the experiment. Contrarily, in the developed 2D nanoscopy, four-wave mixing is initiated by a quadruple-pulse sequence, which leaves the quantum system in an electronic population. This electronic population carries coherent information about the investigated quantum system and can be mapped with a spatial resolution down to a few nanometers given by the spatial resolution of the photoemission electron microscope. Hence, 2D nanoscopy can be considered a generalization of time-resolved photoemission experiments. In the future, it may be of similar beneficial value for the field of photoemission research as “conventional” 2D spectroscopy has proven to be for optical spectroscopy and nuclear magnetic resonance experiments. In a first experimental implementation of coherent 2D nanoscopy coherent processes on a corrugated silver surface were measured and unexpected long coherence lifetimes could be determined.
This work brings forward successful implementations of ultrafast chirality-sensitive spectroscopic techniques by probing circular dichroism (CD) or optical rotation dispersion (ORD). Furthermore, also first steps towards chiral quantum control, i.e., the selective variation of the chiral properties of molecules with the help of coherent light, are presented.
In the case of CD probing, a setup capable of mirroring an arbitrary polarization state of an ultrashort laser pulse was developed. Hence, by passing a left-circularly polarized laser pulse through this setup a right-circularly polarized laser pulse is generated. These two pulse enantiomers can be utilized as probe pulses in a pump--probe CD experiment. Besides CD spectroscopy, it can be utilized for anisotropy or ellipsometry spectroscopy also. Within this thesis, the approach is used to elucidate the photochemistry of hemoglobin, the oxygen transporting protein in mammalian blood. The oxygen loss can be triggered with laser pulses as well, and the results of the time-resolved CD experiment suggest a cascade-like relaxation, probably through different spin states, of the metallo-porphyrins in hemoglobin.
The ORD probing was realized via the combination of common-path optical heterodyne interferometric polarimetry and accumulative femtosecond spectroscopy. Within this setup, on the one hand the applicability of this approach for ultrafast studies was demonstrated explicitly. On the other hand, the discrimination between an achiral and a racemic solution without prior spatial separation was realized. This was achieved by inducing an enantiomeric excess via polarized femtosecond laser pulses and following its evolution with the developed polarimeter. Hence, chiral selectivity was already achieved with this method which can be turned into chiral control if the polarized laser pulses are optimized to steer an enhancement of the enantiomeric excess.
Furthermore, within this thesis, theoretical prerequisites for anisotropy-free pump--probe experiments with arbitrary polarized laser pulses were derived. Due to the small magnitude of optical chirality-sensitve signals, these results are important for any pump--probe chiral spectroscopy, like the CD probing presented in this thesis. Moreover, since for chiral quantum control the variation of the molecular structure is necessary, the knowledge about rearrangement reactions triggered by photons is necessary. Hence, within this thesis the ultrafast Wolff rearrangement of an α-diazocarbonyl was investigated via ultrafast photofragment ion spectroscopy in the gas phase. Though the compound is not chiral, the knowledge about the exact reaction mechanism is beneficial for future studies of chiral compounds.
The invention of laser pulse shapers allowed for various quantum control experiments, where a chemical reaction is guided by specifically tailored laser pulses. However, despite of the prominent role of the liquid phase in chemistry, no successful attempt for controlling the selectivity of a bond-fission reaction has yet been reported in this state of matter. Promising candidates for such an experiment are C$_{\infty\mathrm{v}}$-symmetric trihalide anions with two different chemical bonds like $\ce{I2Cl-}$, because these molecules notionally offer the most simplest selectivity-control scenario of breaking either the one or the other bond and they are expected to dissociate under ultraviolet (UV) irradiation like it is known for the most-studied trihalide $\ce{I3-}$.
In order to investigate in this thesis the possibility that the dissociation reaction of such trihalides branches into two different photofragments, the ultrafast photodissociation dynamics of $\ce{I3-}$, $\ce{Br3-}$, $\ce{IBr2-}$ and $\ce{ICl2-}$ (point group D$_{\infty\mathrm{h}}$) as well as of $\ce{I2Br-}$ and $\ce{I2Cl-}$ (point group C$_{\infty\mathrm{v}}$) in dichloromethane solution were measured with broadband transient absorption spectroscopy in magic-angle configuration. The identification of the reaction pathway(s) relies on vibrational wavepacket oscillations, which survive the dissociation process and therefore carry not only informations about the reactant trihalides but also about the fragment dihalides.
These characteristic vibrational wavenumbers were extracted from the measured transient absorption spectra by globally fitting the population dynamics together with the wavepacket dynamics. Until recently, such a combined model function was not available in the well-established fitting tool Glotaran. This made it inevitable to develop a custom implementation of the underlying variable-projection fitting algorithm, for which the computer-algebra software Mathematica was chosen. Mathematica's sophisticated built-in functions allow not only for a high flexibility in constructing arbitrary model functions, but also offer the possibility to automatically calculate the derivative(s) of a model function. This allows the fitting procedure to use the exact Jacobian matrix instead of approximating it with the finite difference method.
Against the expectation, only one of the two thinkable photodissociation channels was found for each of the investigated C$_{\infty\mathrm{v}}$ trihalides. Since the photofragments recombine, their absorption signal as well as the reactant ground state bleach recover. This happens in a biexponential manner, which in the case of $\ce{I3-}$ was interpreted by Ruhman and coworkers with the direct formation of a neutral dihalogen fragment $\ce{I2}$ beside the negatively charged dihalide fragment $\ce{I2-}$. In this thesis, such a direct reaction channel was not found and instead the fast component of the biexponential decay is explained with vibrational excess energy mediating the recombination-preceding electron transfer process $\ce{I2- + I -> I2 + I-}$, while the slow component is attributed to cooled-down fragments.
In addition to the trihalide experiments, the possibility of a magic-angle configuration for polarization-shaping control experiments was theoretically investigated in this thesis by deriving magic-angle conditions for the third-order electric-dipole response signal of arbitrarily polarized laser pulses. Furthermore, the subtleties of anisotropy signals violating the well-known range of \numrange{-0.2}{0.4} were studied.
Pulse-Sequence Approaches for Multidimensional Electronic Spectroscopy of Ultrafast Photochemistry
(2014)
Observing chemical reactions in real time with femtosecond laser pulses has evolved into a very popular field of research since it provides fascinating insights into the nature of photochemical transformations. Nevertheless, many photochemical reactions are still too complex for which reason the underlying mechanisms and all engaged species cannot be identified thoroughly. In these cases, conventional time-resolved spectroscopy techniques reach their technical limits and advanced approaches are required to follow the conversion of reactants to their products including all reaction intermediates.
The aim of this work was therefore the development of novel methods for ultrafast spectroscopy of photoreactive systems. Though the concept of coherent multidimensional spectroscopy has so far exclusively been used to explore photophysical phenomena, it also offers great potential for the study of photochemical processes due to its capability of extracting spectroscopic information along several frequency dimensions. This allows resolving the photochemical connectivity between various interconvertible molecular species with ultrafast temporal resolution on the basis of their absorption and emission properties as the spectral correlations are explicitly visualized in the detected spectra.
The ring-open merocyanine form of the photochromic compound 6-nitro BIPS was studied in Chap. 4 of this work. Merocyanines and their associated ring-closed spiropyrans are promising candidates for future applications as, for instance, molecular electronics or optical data storage due to their unique property of being switchable between two stable congurations via light illumination. Transient absorption with sub-50 fs temporal resolution and broadband probing was employed to characterize the photodynamics of this system with variable excitation wavelengths. Using global data analysis, it could be inferred that two different merocyanine isomers with differing excited-state lifetimes exist in solution. These isomers differ in the cis/trans conguration in the last bond of the methine bridge. The minority of isomers exist in the all-trans conguration (TTT) while the isomer with a cis conguration of the third dihedral angle (TTC) is dominant. A characteristic band, detected after long pump-probe delays, was attributed to the unidirectional cis->trans photoisomerization reaction of the TTC to the TTT form. The quantum yield of the reaction was estimated to be (18+-4) %. In addition, pronounced coherent vibrational wave-packet oscillations were observed and it was concluded that these signatures are related to the product formation.
Coherent two-dimensional electronic spectroscopy was successfully implemented using a partially collinear pump-probe beam geometry in combination with a femtosecond pulse shaper. The use of a whitelight probe continuum enabled us to probe contributions far-off the diagonal over the complete visible range. By properly adjusting the relative phase between the first two laser pulses with the pulse shaper, the principle of phase-cycling was explained and it was demonstrated that the measurement can be carried out in the so-called "rotating frame" in which the observed frequencies detected during the coherence time are shifted to lower values. It was shown that these concepts allow the extraction of the desired background-free photon echo while the amount of necessary data points is highly reduced.
In order to put our proposal of multidimensional spectroscopy of photoreactive systems into practice, third-order two- and three-dimensional spectroscopy was then employed for an in-depth analysis of a photoreactive process, in which the photoisomerization of 6-nitro BIPS served as a model system. The measured two-dimensional spectra revealed the cis->trans photoisomerization after long population times. By collecting a large data set of two-dimensional spectra for short population times and by applying a Fourier transform along the population time axis, the third-order three-dimensional spectrum was obtained. The novelty of this approach compared to coherent two-dimensional spectroscopy is the introduction of a third axis associated with the vibrational frequencies of the molecular system. In this way, the formation of the reaction product was evidenced and it was shown that the product is formed in its first excited singlet state within 200 fs after excitation. This method hence visualizes the photochemical connections between different reactive molecular species in an intuitive manner and further exposes the normal modes connecting reactant and product. Such conclusions cannot be drawn with conventional third-order techniques such as transient absorption since they are
not capable of capturing the full third-order response, but only a subset of it. The reaction mechanism and the role of the observed vibrational modes were uncovered by comparing the experimental data with the results of high-level quantum-chemical calculations performed by our collaborators in the group of Prof. B. Engels from the
theoretical chemistry department at the University of Würzburg. Specific calculated molecular normal modes could be assigned to the experimentally observed vibrational frequencies and potential energy surfaces of the electronic ground state and of the first excited state were computed. The technique implemented in this chapter is general and is applicable for the time-resolved analysis of a wide range of chemical reaction networks.
In the first part of Chap. 5, coherent two-dimensional spectroscopy was employed to track the reaction paths of the related 6,8-dinitro BIPS after S1 excitation. Several differences to the photochemical properties of 6-nitro BIPS were found. From the 2D spectra, the cis-trans isomerization between the two merocyanine isomers could be excluded as a major reaction path for this compound. To explore the dynamics after reexcitation to higher-lying electronic states, pump-repump-probe spectroscopy was implemented and the formation of a new species, a radical cation, was observed. To identify the precursor isomer, triggered-exchange two-dimensional spectroscopy, a fifth-order technique previously only available in the infrared regime for vibrational transitions, was implemented for the first time for electronic excitations in the visible. This approach combines the properties of the pump-repump-probe technique with the potential of coherent two-dimensional spectroscopy. It correlates the absorption frequency of a reactive molecular species with the emission signatures of the product formed from this species after an additional absorption of a photon. Using this method, it was unambiguously proven that only the TTC isomer reacts to the radical cation thus forming the precursor species of the reaction. Electronic triggered-exchange two-dimensional spectroscopy is hence another improved technology for time-resolved spectroscopy with applications in the study of multistep photoreactions and higher-lying electronic states. While in the two preceding chapters third- and fifth-order experiments were discussed that neglect the vectorial character of light-matter interactions, Chap. 6 focused on a novel theoretical formalism enabling the description of light fields optimized for polarization-sensitive higher-order nonlinearities. This formalism is based on the von Neumann time-frequency representation of shaped femtosecond laser pulses which permits the definition of multipulse sequences on a discrete time-frequency lattice. Hence, not only the temporal spacing between subpulses is adjustable, but also the center frequencies may be adapted such that they fit the experimental requirements. This method was generalized to the description of pulse sequences with time-varying polarization states. It was shown that by using this description, the polarization ellipticity, orientation angle, relative phase and intensity, and the time-frequency location of each subpulse is explicitly controllable. The accuracy of the transformations from Fourier space to von Neumann domain and vice versa was demonstrated. Moreover, a strict accordance between the von Neumann polarization parameters with the conventional parameters in time domain was found for well separated subpulses. A potential future application of this approach is polarization-sensitive multidimensional spectroscopy in which hidden cross peaks may be isolated by defining the pulses in the von Neumann picture with suitable polarization sequences. This method could also be used in quantum control experiments in which the polarization of the light field is used as a major control knob.
This thesis summarizes our efforts to open the field of femtochemistry to the concept of coherent multidimensional electronic spectroscopy. Making use of femtosecond pulse shaping, sub-50 fs temporal resolution, broadband spectral probing, higher-order nonlinearities, and new types of laser pulse descriptions, the presented methods might stimulate further future advancements in this research area.
Coherent Multidimensional Spectroscopy in Molecular Beams and Liquids Using Incoherent Observables
(2018)
The aim of the present work was to implement an experimental approach that enables coherent two-dimensional (2D) electronic spectroscopy of samples in various states of matter. For samples in the liquid phase, a setup was realized that utilizes the sample fluorescence for the acquisition of 2D spectra. Whereas the liquid-phase approach has been established before, coherent 2D spectroscopy on gaseous samples in a molecular beam as developed in this work is in fact a new method. It employs for the first time cations in a time-of-flight mass spectrometer for signal detection and was used to obtain the first ion-selective 2D spectra of a molecular-beam sample. Additionally, a new acquisition concept was developed in this thesis that significantly decreases measurement times in 2D spectroscopy using optimized sparse sampling and a compressed-sensing reconstruction algorithm.
Characteristic for the variant of 2D spectroscopy presented in this work is the usage of a phase-coherent sequence of four laser pulses in a fully collinear geometry for sample excitation. The pulse sequence was generated by a custom-designed pulse shaper that is capable of rapid scanning by changing the pulse parameters such as time delays and phases with the repetition rate of the laser. The sample's response was detected by monitoring incoherent observables that arise from the final-state population, for instance fluorescence or cations. Phase cycling, i.e., signal acquisition with different combinations of the relative phases of the excitation pulses, was applied to extract nonlinear signal contributions from the full signal during data analysis.
Liquid-phase 2D fluorescence spectroscopy was established with the laser dye cresyl violet as a sample molecule, confirming coherent oscillations previously observed in literature that are originating from vibronic coherences in specific regions of the 2D spectrum.
The data set of this experiment was used subsequently to introduce optimized sparse sampling in 2D spectroscopy. An optimization algorithm was implemented in order to find the best sampling pattern while taking only one quarter of the regular time-domain sampling points, thereby reducing the acquisition time by a factor of four. Signal recovery was based on a new and compact representation of 2D spectra using the von Neumann basis, which required about six times less coefficients than the Fourier basis to retain the relevant information. Successful reconstruction was shown by recovering the coherent oscillations in cresyl violet from a reduced data set.
Finally, molecular-beam coherent 2D spectroscopy was introduced with an investigation of ionization pathways in highly-excited nitrogen dioxide, revealing transitions to discrete auto-ionizing states as the dominant contribution to the ion signal. Furthermore, the advantage of the time-of-flight approach to obtain reactant and product 2D spectra simultaneously enabled the observation of distinct differences in the multiphoton-ionization response functions of the nitrogen dioxide cation and the nitrogen oxide ionic fragment.
The developed experimental techniques of this work will facilitate fast acquisition of 2D spectra for samples in various states of matter and permit reliable direct comparison of results. Therefore, they pave the way to study the properties of quantum coherences during photophysical processes or photochemical reactions in different environments.
The experimental technique predominantly employed within the scope of this Thesis constitutes one subarea of femtochemistry: the time-resolved spectroscopy of photoin-
duced chemical reactions in the liquid phase by means of molecular signatures in the mid-infrared (MIR) spectral range. Probing transient vibrational states, i.e., dynamic
changes in the vibrational motion of specic molecular subunits or functional Groups allows for a distinct separation and assignment of measured signals to emerging molecular species. For this purpose, one key building block is indispensable, which most of the investigations carried out within the eld of femtochemistry have in common: a coherent light source delivering ultrashort laser pulses with a temporal duration that matches the femtosecond time scale on which molecular motions typically occur. This instrumentation enables the observation of photoinduced chemical reactions from the
starting point|the excitation event to the appearance of intermediates to the nal formation of stable photoproducts after several pico- or nanoseconds.
This work comprises the acquisition and presentation of time-resolved spectroscopic data related to promising molecular systems upon photoexcitation as well as the im-
plementation and testing of experimental optical techniques both for the presented experiments but as well for experiments conceivable in the future. In addition, linear spectroscopy measurements and quantum-chemical simulations on the emerging chemical species have been carried out. In so doing, the primary processes and subse-
quently emerging reaction products of two compounds on a timescale of several nanoseconds after photoexcitation have been elucidated in great detail. Both compounds, the
[Mn(CO)3(tpm)]+ (tpm = tris(2-pyrazolyl)methane) CO-releasing molecule (CORM) and the 5-diazo Meldrum's acid (DMA), are of academic interest but in addition belong
to molecular classes that might be utilized in the near future as dark-stable prodrugs under physiological conditions or that are already utilized in industrial chemistry procedures, respectively. The ndings of both studies gave rise to implement and examine two techniques for prospective transient absorption experiments, namely the shaping and characterization of ultraviolet (UV) laser pulses and the recording of two-photon excitation spectra. Beyond that, since each of the depicted experiments is based on the detection of weak transient absorption signals in the MIR spectral region, two dif-
ferent detection schemes, via chirped-pulse upconversion (CPU) on the one hand and via direct multichannel MCT detection on the other hand, have been juxtaposed at the
conclusion of this work. Since both techniques are suitable in femtosecond pump-probe measurements but thereby exhibit individual strengths and weaknesses, a comparative study provides clarication of the respective pros and cons. The first study introduced within this work investigates the complex photochemistry
of DMA, a photoactive compound used in lithography and industrial chemistry. By femtosecond MIR transient absorption spectroscopy covering several nanoseconds, the
light-induced dynamics and ultrafast formation of several photoproducts from the manifold of reaction pathways have been disclosed to form a coherent picture of the overall
reaction scheme. After UV excitation of DMA dissolved in methanol to the second excited state S2, 70% of excited molecules relax back to the S0 ground state. In compet-
ing processes, they can either undergo an intramolecular Wolff rearrangement to form ketene, which reacts with a solvent molecule to an enol intermediate and further to carboxylate ester, or they rst relax to the DMA S1 state, from where they can isomerize to a diazirine. The third competing reaction channel, having the lowest quantum efficiency with respect to the rst two channels, is the formation of a singlet carbene out of the S1 state. From there an ylide can arise or, via an intersystem crossing, the triplet form of the carbene follows. Whereas the primary reaction steps occur on a picosecond timescale, the subsequently arising intermediates and stable photoproducts are formed
within a few hundreds to thousands of picoseconds. For a reliable identication of the involved compounds, density functional theory calculations on the normal modes and
Fourier-transform infrared spectroscopy of the reactant and the photoproducts in the chemical equilibrium accompany the analysis of the transient spectra. Additional experiments in ethanol and isopropanol led to slight spectral shifts as well as elongated time
constants due to steric hindrance in transient spectra connected with the ester Formation channel, further substantiating the assignment of the occurring reaction pathways and photoproducts.
The study demonstrated that the combination of linear and time-resolved spectroscopic measurements in conjunction with quantum-chemical calculations constitutes a powerful tool to unravel even highly complex photoreactions exhibiting multiple consecutive intermediate states within parallel reaction pathways. Although some of the individual reaction steps, for example the ketene formation via Wolff rearrangement, have been observed on ultrashort time scales before, this work encompassed the Observation of the whole set of appearing photoproducts of DMA in different alcohol solutions within several nanoseconds. In this sense, the ultrafast photochemistry of DMA represents a prototype example for a multisequential reaction scheme, elucidated by the capabilities of femtosecond MIR spectroscopy.
With a modified instrumentation concerning amongst others the system delivering the fundamental laser pulses or the generation of the UV pump pulses, the next ob-
jective within this work was to elucidate the primary processes upon UV Irradiation of a manganese tricarbonyl CORM in aqueous environment. The time-resolved
experiment was performed with two different pump wavelengths and furthermore supported by linear spectroscopy methods and time-dependent density functional theory (TDDFT) calculations on the excited states as well as DFT calculations on the ground
states. The measurements revealed that irradiating the compound with UV excitation pulses primarily leads to ultrafast photolysis of one CO ligand. Geminate recombination may occur within one picosecond but it remains a minor process as the photolyzed CO
group is liberated and the unoccupied coordination site is predominantly filled by an incoming solvent molecule. There was no evidence for hot CO bands, i.e., the remaining CO ligands|in the dicarbonyl photoproduct as well as in the intact CORM are not vibrationally excited through the UV excitation of the CORM. According to this, the excess energy merges into low-frequency vibrational modes associated with the molecule as a whole. Since studies on a macroscopic scale at irradiation times of several minutes prove that UV irradiation eventually leads to the release of two or even all three CO
ligands, further loss of CO most likely necessitates manganese oxidation or another interaction with light. To clarify the latter, a consecutive UV pulse was employed in order to excite the photoproducts subsequent to the initial pump interaction. However, the data obtained was not instructive enough to denitely exclude the manganese oxidation being responsible for the loss of further CO groups. Besides the exchange of a CO Group by a solvent molecule or the geminate recombination, the employment of two different excitation wavelengths in combination with ndings derived from the TDDFT calculations suggested another reaction process, namely the possibility that the excitation does not lead to any bond cleavage at all. As the CORM under investigation is tissue-selective and cytotoxic against cancer cells, knowledge of these rst photoinduced reaction steps is essential for a full understanding of its biological activity. Inspired by these two studies, experimental techniques for prospective transient absorption measurements have been implemented and tested within preparative measure-
ments. First, in the course of a UV-pump-MIR-probe experiment with specically tailored excitation pulses, one could pursue the aim of coherently controlling the outcome of a photoreaction in the liquid phase. Out of the rich photochemistry of DMA the vibrational signature of a particular molecular species might thereby serve as a feedback signal, which is a central part of a learning loop that adaptively determines the pulse shape that steers the quantum mechanical system upon photoexcitation into a desired direction. This motivated the installation and testing of devices by means of which the shaping and characterization of ultrashort laser pulses in the UV could be performed. Second, motivated by the biological applications of CORMs, one can imagine a scenario where a certain amount of CORMs is deposited inside cancerous tissue. Since the activation of CO loss by means of UV pulses is not possible due to the absorption characteristics of biological tissue, the simultaneous excitation via two photons from the visible spectral regime seems appealing. However, success or failure of such an application depends on whether the deposited compound efficiently absorbs two photons simultaneously, i.e., whether the two-photon absorption cross section is large enough. Therefore, a setup to record two-photon excitation spectra under full consideration of
the crucial laser pulse parameters like the pulse duration, energy and central wavelength was arranged and tested. The rst results were obtained with a commercially available reference system (Mn2CO10) but the setup as well as the described measurement and
data analysis procedure can easily be applied to record the two-photon absorption cross section of more promising molecular systems. Third, as the detection of probe pulses
in the MIR spectral region is part of each time-resolved measurement throughout this thesis, a comparison between the newly established technique of CPU and direct multi-
channel MCT detection is presented by means of pump{probe experiments on Mn2CO10 and Co4CO12 with a 1 kHz shot-to-shot data acquisition. It was shown that the CPU detection technique scores with its high spectral resolution and coverage of the easy-to-handle and more cost-effective CCD detectors. On the other hand, in the course of the additional nonlinear upconversion process intensity fluctuations of the chirped fundamental pulses are transferred to the probe spectrum in the visible regime. This entails a lower signal-to-noise ratio than the direct MCT detection, which can be compensated by an additional normalization procedure applied to the CPU probe pulses. As a consequence, the CPU detection scheme offers more flexibility for future investigations
employing MIR probe pulses. This is of great importance for many applications within the presented eld of femtochemistry as a huge variety of time-resolved investigations on a multitude of systems in the liquid phase is based on the detection of weak transient
absorption signals in the MIR spectral region.
In this work, two techniques, based on the established method of pump--probe spectroscopy were used to investigate the properties of molecular systems in the liquid phase within the visible spectral wavelength range.
The first technique is standard transient absorption (TA) spectroscopy which was applied to a diazo-precursor to identify the formation of a biradical in an inert solvent after UV excitation. With the combination of EPR spectroscopy and quantum chemical calculations, the formation of a biradical in an unpolar and non-protic solvent was proven. Besides, in the presence of air or a polar and protic solvent, the biradical reacts ultrafast to various side products.
The second technique is time-resolved circular dichroism (TRCD) spectroscopy, which was performed in two different ways. The first approach based on a pulse-enantiomer (PE) setup, where an initially circularly polarized pulse was split into two pulses, of which one was mirrored under normal incidence, to flip its polarization. The result was two pulses with mirrored polarization states that propagate collinearly to the sample as left and right circularly polarized probe pulses. The alignment procedure as well as the drawbacks of this setup are described in detail.
However, a new TRCD setup was built that used a polarization grating to get left and right circularly polarized pulses. With the experiences of working with the PE setup, the new TRCD setup could be optimized so that TRCD spectra of a chiral squaraine polymer could be measured. With the help of quantum chemical calculations, the signals were assigned to exciton dynamics that describe spatial and energetic rearrangements of the excitation energy. The alignment and the measurement procedures to perform TRCD spectroscopy with the new setup are described in detail for future experiments.
This thesis describes novel concepts for the measurement of the static and dynamic properties of the electronic structure of molecules and nanocrystals in the liquid phase by means of coherent fluorescence-detected spectroscopy in two and three frequency dimensions. These concepts are based on the systematic variation ("phase cycling") of a sequence of multiple time-delayed femtosecond excitation pulses in order to decode a multitude of novel nonlinear signals from the resulting phase-dependent fluorescence signal. These signals represent any permutation of correlations between zero-, one-, two-, and three-quantum coherences. To this end, two new phase-cycling schemes have been developed which can simultaneously resolve and discriminate several nonlinear signals of sixth order, including those of the fourth order of nonlinearity.
By means of the sixth-order signals recorded in this work, static properties of highly excited electronic states in molecules such as their energies, transition dipole moments, and relative displacement of electronic potential surfaces, as well as dynamic properties in terms of their relaxation kinetics, can be ascertained. Furthermore, it was shown that these signals are suitable for the characterization of exciton-exciton correlations in colloidal quantum dots and for the measurement of ultrafast exciton-exciton annihilation in molecular aggregates.
The experiments performed in this thesis mark an important step towards the complete characterization of the nonlinear response of quantum systems. In view of this, the concept of fluorescence-detected multiple-quantum coherence multidimensional spectroscopy introduced here offers a unified, systematic approach.
In virtue of the technical advantages such as the use of a single excitation beam and the absence of nonresonant contributions, the measurement protocols developed here can be directly transferred to other incoherent observables and to sample systems in other states of matter. Furthermore, the approaches presented here can be systematically extended to higher frequency dimensions and higher orders of nonlinearity.
The goal of this thesis was the development and application of higher-order spectroscopic techniques. In contrast to ordinary pump–probe (PP) and two-dimensional (2D) spectroscopy, higher-order coherently detected spectroscopic methods measure a polarization that has an order of nonlinearity higher than three. The key idea of the techniques in this thesis is to isolate the higher-order signals from the lower-order signals either by their excitation frequency or by their excitation intensity dependence. Due to the increased number of interactions in higher-order spectroscopy, highly excited states can be probed. For excitonic systems such as aggregates and polymers, the fifth-order signal allows one to directly measure exciton–exciton annihilation (EEA). In polymers and aggregates, the exciton transport is not connected to a change of the absorption and can therefore not be investigated with conventional third-order techniques. In contrast, EEA can be used as a probe to study exciton diffusion in these isonergetic systems. As a part of this thesis, anisotropy in fifth-order 2D spectroscopy was investigated and was used to study geometric properties in polymers.
In 2D spectroscopy, the multi-quantum signals are separated from each other by their spectral position along the excitation axis. This concept can be extended systematically to higher signals. Another approach to isolate multi-quantum signals in PP spectroscopy utilizes the excitation intensity. The PP signal is measured at specific excitation intensities and linear combinations of these measurements result in different signal contributions. However, these signals do not correspond to clean nonlinear signals because the higher-order signals contaminate the lower-order multi-quantum signals. In this thesis, a correction protocol was derived that uses the isolated multiquantum signals, both from 2D spectroscopy and from PP spectroscopy, to remove the contamination of higher-order signals resulting in clean nonlinear signals. Using the correction on the third-order signal allows one to obtain annihilation-free signals at high excitation intensities, i.e., with high signal-to-noise ratio. Isolation and correction in PP and 2D spectroscopy were directly compared by measuring the clean third-order signals of squaraine oligomers at high excitation intensities. Furthermore, higher-order PP spectroscopy was used to isolate up to the 13th nonlinear order of squaraine polymers.
The demonstrated spectroscopic techniques represent general procedures to isolate clean signals in terms of perturbation theory. The technique of higher-order PP spectroscopy needs only small modifications of ordinary PP setups which opens the field of higher-order spectroscopy to the broad scientific community. The technique to obtain clean nonlinear signals allows one to systematically increase the number of interacting (quasi)particles in a system and to characterize their interaction energies and dynamics.
Contents List of Publications 1 Introduction 2 Basic concepts and instrumentation 2.1 Mathematical description of femtosecond laser pulses 2.2 Optical quantities and measurements 2.2.1 Intensity 2.2.2 Absorbance and Beer-Lambert law 2.3 Laser system 2.4 General software framework for scientific data acquisition and simulation 2.4.1 Core components 2.4.2 Program for executing a single measurement sequence 2.4.3 Scan program 2.4.4 Evolutionary algorithm optimization program 2.4.5 Applications of the software framework 2.5 Summary 3 Generation of ultrabroadband femtosecond pulses in the visible 3.1 Nonlinear optics 3.1.1 Nonlinear polarization and frequency conversion 3.1.2 Phase matching 3.2 Optical parametric amplification 3.3 Noncollinear optical parametric amplifier 3.4 Considerations and experimental design of NOPA 3.4.1 Options for broadening the NOPA bandwidth 3.4.2 Experimental setup 3.5 NOPA pulse characterization 3.5.1 Second harmonic generation frequency-resolved optical gating 3.5.2 Transient grating frequency-resolved optical gating 3.6 Compression and shaping methods for NOPA pulses 3.6.1 Grating compressor 3.6.2 Prism compressor 3.6.3 Chirped mirrors 3.6.4 Detuned zero dispersion compressor 3.6.5 Deformable mirror pulse shaper 3.6.6 Liquid crystal pulse shaper 3.7 Liquid crystal pulse shaper 3.7.1 Femtosecond pulse shapers 3.7.2 Experimental design and parameters 3.7.3 Optical setup of the LC pulse shaper 3.7.4 Calibrations of the pulse shaper 3.8 Adaptive pulse compression 3.8.1 Closed loop pulse compression 3.8.2 Open loop pulse compression 3.9 Conclusions 4 Coherent optical two-dimensional spectroscopy 4.1 Introduction 4.2 Theory of third order nonlinear optical spectroscopies 4.2.1 Response function, electric fields, and signal field 4.2.2 Signal detection with spectral interferometry 4.2.3 Evaluation of two-dimensional spectra and phasing 4.2.4 Selection and classification of terms in induced nonlinear polarization 4.2.5 Oscillatory character of measured signal 4.3 Previous experimental implementations 4.4 Inherently phase-stable setup using conventional optics only 4.4.1 Manipulation of pulse pairs as a basis for stability 4.4.2 Experimental setup 4.4.3 Measurement procedure 4.4.4 Data evaluation 4.5 First experimental results 4.5.1 Demonstration of phase stability 4.5.2 2D spectrum of Nile Blue at room temperature 4.6 Summary and outlook 5 Product accumulation for ultrasensitive femtochemistry 5.1 The problem of sensitivity in femtochemistry 5.2 Accumulation for increased sensitivity 5.2.1 Comparison of conventional and accumulative sensitivity 5.2.2 Schematics and illustrative example 5.3 Experimental setup 5.4 Calibration and modeling of accumulation 5.5 Experiments on indocyanine green 5.5.1 Calibration of the setup 5.5.2 Chirped pulse excitation 5.5.3 Adaptive pulse shaping 5.6 Conclusions 6 Ultrafast photoconversion of the green fluorescent protein 6.1 Green fluorescent protein 6.2 Experimental setup for photoconversion of GFP 6.3 Calibration of the setup for GFP 6.3.1 Model for concentration dynamics of involved GFP species 6.3.2 Estimate of sensitivity 6.4 Excitation power study 6.5 Time-resolved two-color experiment 6.6 Time-delayed unshaped 400 nm – shaped 800 nm pulse excitation 6.6.1 Inducing photoconversion with chirped pulses 6.6.2 Photoconversion using third order phase pulses 6.7 Conclusions 7 Applications of the accumulative method to chiral systems 7.1 Introduction 7.2 Chiral asymmetric photochemistry 7.2.1 Continuous-wave circularly polarized light 7.2.2 Controlled asymmetric photochemistry using femtosecond laser pulses 7.3 Sensitive and fast polarimeter 7.3.1 Polarimeter setup 7.3.2 Detected signal I(t) 7.3.3 Angular amplification 7.3.4 Performance of the polarimeter 7.4 Molecular systems and mechanisms for enantioselective quantum control 7.4.1 Binaphthalene derivatives 7.4.2 Photochemical helicene formation 7.4.3 Spiropyran/merocyanine chiroptical molecular switches 7.5 Summary 8 Summary Zusammenfassung Bibliography Acknowledgements