Circular Dichroism in the Photoelectron Angular ...€¦ · depictedinFigure 1cwheretheregionoftheB...

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Chirality DOI: 10.1002/anie.201109035 Circular Dichroism in the Photoelectron Angular Distributions of Camphor and Fenchone from Multiphoton Ionization with Femtosecond Laser Pulses** Christian Lux, Matthias Wollenhaupt, Tom Bolze, Qingqing Liang, Jens Kçhler, Cristian Sarpe, and Thomas Baumert* Chiral recognition in the gas phase using light is a challenge because of the low particle densities involved. However, such collision free conditions offer great promise for highly sensitive analytical applications as well as for unraveling fundamental aspects of the light–matter interaction. [1] Often ionizing radiation is used for such investigations, as charged particles offer nearly unit detection efficiencies. In addition, highly differential detection schemes have been developed to measure the photoelectron angular distribution (PAD), which contains rich information about the photoionization dynamics and intramolecular dynamics. [2] An efficient and relatively simple method to measure the three-dimensional PAD is to project the complete distribution onto a two-dimensional detector plane. The so-called velocity map imaging tech- nique [3] (VMI) is a prominent example of this approach. Based on certain symmetry assumptions concerning the PAD, the three-dimensional PAD can be reconstructed from the two-dimensional image by inversion techniques, as for example, described in Ref. [4]. If there are no symmetries in the PAD, tomographic reconstruction methods have been employed. [5] More sophisticated coincidence techniques are available, for instance, when PADs from the molecular frame of dissociating molecules are of interest. [6, 7] Making use of vacuum ultraviolet (VUV) synchrotron ionization, a striking forward/backward asymmetry in the electron ejection with respect to the light propagation was found in one-photon ionization of randomly oriented small chiral molecules with circularly polarized light [8–10] and reviewed in chapter one of Ref. [1] by Nahon and Powis and also in Ref. [11]. This effect was termed photoelectron circular dichroism (PECD) and, based on theoretical pre- dictions, [12] was attributed to an electric dipole interaction [11] PECD shows a effect several orders larger than that of conventional circular dichroism (CD) techniques and is therefore attractive for chiral recognition in the gas phase. A wide-spread implementation of this effect in analytics has been hampered to date as the use of a synchrotron facility to deliver the required radiation seems to be a prerequisite. Herein we show, that PECD is also accessible using femtosecond laser pulses from a standard setup. We make use of resonance enhanced multiphoton ionization (REMPI) and measure PAD images from randomly oriented chiral mole- cules with a VMI setup. Camphor and fenchone were chosen as prototypes, as these molecules have also been used in benchmark experiments on normal CD as well as in the pioneering work on PECD using VUV one-photon ionization and VMI detection. [13] PADs from one-photon ionization of randomly oriented molecules in the laboratory frame can be expanded in Legendre polynomials P l (cos q) where the energy distribution can be accounted for by a sum of Gaussians and q is the angle of the ejected electron with respect to the direction of light propagation for the circularly polarized light. [4] Expressions for multiphoton ionization with different polarizations can be found for example in Refs. [2, 14, 15]. PECD in VUV one- photon ionization manifests itself in a change of sign of the first-order Legendre polynomial when changing from left- circularly polarized light (LCP) to right-circularly polarized light (RCP) when a specific enantiomer is ionized. A change of sign is also obtained by keeping the helicity of the light and changing from the S to the R enantiomer. In our case we ionize with three photons out of the highest occupied orbital of the neutral molecules. The ionization is enhanced by a resonance after the absorption of two photons (2+1 REMPI). In our measured PAD images, we find asymmetries in all the contributing odd Legendre polyno- mials up to the seventh order when changing the helicity or when changing from the S to the R enantiomers but keeping the helicity. Looking at the PECD effect obtained by subtraction of the RCP image from the LCP image measured on one specific enantiomer we find a complete asymmetry in the corresponding odd Legendre polynomials. The effect is in the 10 % regime on both substances studied and is even clearly visible in the difference of the raw data. In the following we will first briefly address our experimental approach followed by our data evaluation procedure includ- ing discussion before we conclude. The experimental setup is shown in Figure 1a and the polarization characterization is shown in Figure 1b. Details are given in the Supporting Information. Camphor and fenchone were purchased at Sigma–Aldrich with an enantio- meric purity of over 95%. The 2+1 REMPI [17] scheme is [*] C. Lux, Prof.Dr. M. Wollenhaupt, T. Bolze, Dr. Q. Liang, J. Kçhler, C. Sarpe, Prof. Dr. T. Baumert Institut fɒr Physik und Center for Interdisciplinary Nanostructure Science and Technology (CINSaT), UniversitȨt Kassel Heinrich-Plett-Strasse 40, 34132 Kassel (Germany) E-mail: [email protected] Homepage: http://www.physik.uni-kassel.de/exp3.html [**] Financial support by the EU ITN FASTQUAST and the DFG is gratefully acknowledged. We also thank Manuel Gerlach for help in the initial stage of the project. Supporting information for this article is available on the WWW under http://dx.doi.org/10.1002/anie.201109035. A ngewandte Chemi e 5001 Angew. Chem. Int. Ed. 2012, 51, 5001 –5005 # 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim

Transcript of Circular Dichroism in the Photoelectron Angular ...€¦ · depictedinFigure 1cwheretheregionoftheB...

Page 1: Circular Dichroism in the Photoelectron Angular ...€¦ · depictedinFigure 1cwheretheregionoftheB band[18] actsas the resonant intermediate state. The vertical ionization potential

ChiralityDOI: 10.1002/anie.201109035

Circular Dichroism in the Photoelectron Angular Distributions ofCamphor and Fenchone from Multiphoton Ionization withFemtosecond Laser Pulses**Christian Lux, Matthias Wollenhaupt, Tom Bolze, Qingqing Liang, Jens Kçhler, Cristian Sarpe,and Thomas Baumert*

Chiral recognition in the gas phase using light is a challengebecause of the low particle densities involved. However, suchcollision free conditions offer great promise for highlysensitive analytical applications as well as for unravelingfundamental aspects of the light–matter interaction.[1] Oftenionizing radiation is used for such investigations, as chargedparticles offer nearly unit detection efficiencies. In addition,highly differential detection schemes have been developed tomeasure the photoelectron angular distribution (PAD), whichcontains rich information about the photoionization dynamicsand intramolecular dynamics.[2] An efficient and relativelysimple method to measure the three-dimensional PAD is toproject the complete distribution onto a two-dimensionaldetector plane. The so-called velocity map imaging tech-nique[3] (VMI) is a prominent example of this approach.Based on certain symmetry assumptions concerning the PAD,the three-dimensional PAD can be reconstructed from thetwo-dimensional image by inversion techniques, as forexample, described in Ref. [4]. If there are no symmetries inthe PAD, tomographic reconstruction methods have beenemployed.[5] More sophisticated coincidence techniques areavailable, for instance, when PADs from the molecular frameof dissociating molecules are of interest.[6, 7]

Making use of vacuum ultraviolet (VUV) synchrotronionization, a striking forward/backward asymmetry in theelectron ejection with respect to the light propagation wasfound in one-photon ionization of randomly oriented smallchiral molecules with circularly polarized light[8–10] andreviewed in chapter one of Ref. [1] by Nahon and Powisand also in Ref. [11]. This effect was termed photoelectroncircular dichroism (PECD) and, based on theoretical pre-dictions,[12] was attributed to an electric dipole interaction[11]

PECD shows a effect several orders larger than that ofconventional circular dichroism (CD) techniques and istherefore attractive for chiral recognition in the gas phase.

A wide-spread implementation of this effect in analytics hasbeen hampered to date as the use of a synchrotron facility todeliver the required radiation seems to be a prerequisite.

Herein we show, that PECD is also accessible usingfemtosecond laser pulses from a standard setup. We make useof resonance enhanced multiphoton ionization (REMPI) andmeasure PAD images from randomly oriented chiral mole-cules with a VMI setup. Camphor and fenchone were chosenas prototypes, as these molecules have also been used inbenchmark experiments on normal CD as well as in thepioneering work on PECD using VUV one-photon ionizationand VMI detection.[13]

PADs from one-photon ionization of randomly orientedmolecules in the laboratory frame can be expanded inLegendre polynomials Pl(cos q) where the energy distributioncan be accounted for by a sum of Gaussians and q is the angleof the ejected electron with respect to the direction of lightpropagation for the circularly polarized light.[4] Expressionsfor multiphoton ionization with different polarizations can befound for example in Refs. [2, 14,15]. PECD in VUV one-photon ionization manifests itself in a change of sign of thefirst-order Legendre polynomial when changing from left-circularly polarized light (LCP) to right-circularly polarizedlight (RCP) when a specific enantiomer is ionized. A changeof sign is also obtained by keeping the helicity of the light andchanging from the S to the R enantiomer. In our case weionize with three photons out of the highest occupied orbitalof the neutral molecules. The ionization is enhanced bya resonance after the absorption of two photons(2+1 REMPI). In our measured PAD images, we findasymmetries in all the contributing odd Legendre polyno-mials up to the seventh order when changing the helicity orwhen changing from the S to the R enantiomers but keepingthe helicity. Looking at the PECD effect obtained bysubtraction of the RCP image from the LCP image measuredon one specific enantiomer we find a complete asymmetry inthe corresponding odd Legendre polynomials. The effect is inthe � 10% regime on both substances studied and is evenclearly visible in the difference of the raw data. In thefollowing we will first briefly address our experimentalapproach followed by our data evaluation procedure includ-ing discussion before we conclude.

The experimental setup is shown in Figure 1a and thepolarization characterization is shown in Figure 1b. Detailsare given in the Supporting Information. Camphor andfenchone were purchased at Sigma–Aldrich with an enantio-meric purity of over 95%. The 2+1 REMPI[17] scheme is

[*] C. Lux, Prof. Dr. M. Wollenhaupt, T. Bolze, Dr. Q. Liang, J. Kçhler,C. Sarpe, Prof. Dr. T. BaumertInstitut f�r Physik und Center for Interdisciplinary NanostructureScience and Technology (CINSaT), Universit�t KasselHeinrich-Plett-Strasse 40, 34132 Kassel (Germany)E-mail: [email protected]: http://www.physik.uni-kassel.de/exp3.html

[**] Financial support by the EU ITN FASTQUAST and the DFG isgratefully acknowledged. We also thank Manuel Gerlach for help inthe initial stage of the project.

Supporting information for this article is available on the WWWunder http://dx.doi.org/10.1002/anie.201109035.

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depicted in Figure 1c where the region of the B band[18] acts asthe resonant intermediate state. The vertical ionizationpotential (IP) of camphor is 8.7 eV[19] and 8.6 eV[13] forfenchone. The total energy for three photons from our laser isabout 9.35 eV, thus ionization can only occur from the highestoccupied orbital.[13, 19] The Keldysh g parameter at I0 is largerthan two, indicating a multiphoton regime. Measured powerlaws ranging from 0.3 I0 to 1.2 I0 on the photoelectron yield forall polarizations in an energy interval from approximately0.02 to 0.78 eV gave a multiphoton exponent of about 3 forfenchone and 2.2 to 2.5 for camphor, supporting the 2+1excitation scheme although the results for camphor indicatethe onset of saturation effects. The low-energy photoelectronsbelow 0.02 eV did not stem from residual gas and showeda power-law exponent about 0.5 larger than the numbersgiven above indicating the occurrence of ionization processes.This contribution is thus not included in the data analysis. Atypical ion time-of-flight (TOF) spectrum for (S)-(�)-cam-phor using LCP light at I0 is displayed in Figure 1d. Note that

the spectrum is dominated by the parent ion at 152 atomicunits. With decreasing intensity we observe that the relativeparent-ion yield increases with respect to the fragments atlower masses. This is a typical behavior for dissociativeionization, that is, ionization precedes fragmentation.[20] Thatthe process is dissociative ionization is also supported by themeasured and analyzed PAD images as they do not changetheir shape as a function of intensity. The CD effect in the ionyield—as observed on chiral molecules when dedicatedREMPI schemes are employed using nanosecond[21, 22] orfemtosecond[23,24] laser sources in the visible and near UV—was not detectable under our experimental conditions oncamphor and fenchone.

We now turn to the main result of our experiment, that is,the large PECD effect. PAD images from camphor andfenchone for differently polarized laser pulses are shown inFigure 2. All the PAD images were obtained under theexperimental conditions described above (detailed in theSupporting Information) and averaged over the same numberof laser pulses (665000). To eliminate potential small drifts inthe setup, a fast stepper motor was used to rotate the quarterwave plate (QWP) to switch between RCP and LCPmeasurements back and forth 100 times (i.e. every 6650pulses). A 2D Fourier filter was applied to the 1024 � 1024pixels image to remove high-frequency noise. Differences inthe total signal (excluding the low energy part, i.e. that under0.02 eV) for RCP measurements compared to LCP measure-ments were within a range of 0.5%. The PAD images werenormalized to the corresponding total signal and finally—tofacilitate comparison—a scaling factor was defined forcamphor and another for fenchone. This scaling factor wasapplied to all the data within one set and chosen so that theregion with the highest signal in the RCP and LCP PADimages corresponds to unity in the color coding. The top rowin Figure 2a shows PAD images for (R)-(+)-camphor result-ing from ionization with LIN, LCP, and RCP light. The laserpropagation is from left to right as indicated with the arrow.For ionization with LIN light the PAD image is symmetricwith respect to the light propagation. A perpendicular linethrough the center of the PAD image is the mirror axis andcoincides with the direction of the linear polarization. Incontrast, the PAD image resulting from ionization with LCPlight exhibits an asymmetry with respect to the lightpropagation: more signal is observed in the forward directionthan the backward direction. The opposite result is obtainedby ionization with RCP light, with more signal found in thebackward direction than the forward direction. Qualitativelythe same behavior is observed in the PAD images on (R)-(�)-fenchone displayed in the top row of Figure 2b. The secondrow in Figure 2a shows the results when changing from (R)-(+)-camphor to (S)-(�)-camphor. In this case the ionizationwith LIN light also results in a symmetric PAD image withrespect to the light propagation, however, for LCP light moresignal is seen in the backward direction and for RCP lightmore signal is detected in the forward direction. Again thesame behavior is seen in the second row of Figure 2b where(R)-(�)-fenchone was exchanged to (S)-(+)-fenchone. Thisobserved change in the PAD images either by mirroring thehelicity of the light or by mirroring the molecule is expected

Figure 1. a) Experimental setup with beam path, spectrometer, andmultichannel plate (MCP) detector: Laser pulses with a pulse durationof 25 fs centered at 398 nm are focused into an energy-calibratedimaging spectrometer.[16] An average laser power of 2.5 mW at 1 kHzrepetition rate results in a peak intensity I0 of about 5 � 1013 Wcm�2.The spectrometer is used to record images of PADs and also ion time-of-flight (TOF) spectra. P: polarizer, QWP: quarter wave plate togenerate either LCP or RCP light (F: fast axis), L: lens, EG: effusivegas inlet. b) Degree of polarization for linearly (LIN) and circularlypolarized (LCP and RCP) laser pulses. The Stokes parameter S3 forthe circularly polarized light is jS3 j =99%. c) Excitation and ionizationscheme of camphor and fenchone adapted from Ref. [18] and IPstaken from Refs. [13,19]. A–E are labels for absorption bands. d) Typ-ical ion TOF spectrum for (S)-(�)-camphor using left-circularly polar-ized light.

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from a CD effect. Because it is already visible in the raw datathe effect is significantly larger than other CD effects. In thethird row of Figure 2a we plot the PECD signal for (R)-(+)-camphor (left image) and (S)-(�)-camphor (middleimage) following the convention suggested by Powis,[11] thatis, taking the LCP–PAD image minus the RCP–PAD image.The data for fenchone are displayed in the correspondingparts of Figure 2b. Pronounced asymmetries with respect tothe forward/backward direction are detected for both mole-cules, changing direction when changing from right-handed toleft-handed molecules. The asymmetries are in the range of� 10% and slightly larger for fenchone. However, the PECDsignals are not perfectly antisymmetric. For a pure PECDeffect we expect that only odd Legendre polynomialscontribute as only odd Legendre polynomials show antisym-metry with respect to the forward/backward direction,whereas even Legendre polynomials are symmetric withthat respect (see left columns of Figure 3). For further detailson the symmetry properties of the PECD signals see Fig-ure S1 in the Supporting Information. The residual deviationfrom complete asymmetry could be due to remaining smalldifferences in the ellipticity for LCP and RCP light. Thesedifferences can be removed by subtracting the PECD signal ofthe S-enantiomer from the PECD signal of the R-enantiomer.The resulting difference of the PECD signals is displayed inFigure 2 (right image of the third row).

Looking at the PECD signals of camphor, the thirdLegendre polynomial seems to contribute most, whereas forfenchone the first Legendre polynomial is dominant. Toobtain quantitative information for the different contribu-tions we performed an Abel inversion assuming a cylindrically

symmetric photoelectron distribution projected onto a twodimensional detector plane where the symmetry axis is thelight-propagation axis and is parallel to the detector plane. Weemployed the pBasex approach.[4] to speed up the calculationwe downscaled our PAD images shown in Figure 2 to 200 �200 pixels. Our pBasex algorithm expands a PAD(R,q) in100 spherical Gaussian distributions in steps of 2 pixels. EachGaussian has a width s of 2 pixels, is centered at Rk and ismultiplied by a sum of 4 even and 4 odd Legendre polyno-mials. Higher-order Legendre polynomials were considered inaddition but did not contribute significantly. The offset istaken care of by the zero-order Legendre polynomial where q

is measured with respect to the light propagation [Eq. (1)].

PADðR; qÞ ¼Xk¼100; l¼8

k; l¼0

ckl e�ðR�Rk Þ2

s Pl ðcos qÞ ð1Þ

The radius R is proportional to the square root of the kineticenergy in a VMI setup. Abel-inverted and energy-calibratedPAD images for (R)-(+)-camphor are displayed in the toprow of Figure 3 a and for (R)-(�)-fenchone in the top row ofFigure 3b. To visualize the expected antisymmetry we derivedthe symmetric and the antisymmetric component from theAbel-inverted PECD signal. The antisymmetric part wasobtained by subtracting the symmetrized part, obtained by1808 back-folding. An analogous decomposition of the PECDsignals from camphor and fenchone is shown in Figure S1 inthe Supporting Information. The main contribution to thesignal for camphor is centered at an excess energy ofapproximately 0.52 eV, and for fenchone at approximately

Figure 2. a) Top row: PAD images from (R)-(+)-camphor resulting from ionization with LIN, LCP, and RCP light, respectively. The laserpropagation as indicated by an arrow is from left to right. For ionization with LIN light the PAD image is symmetric with respect to the lightpropagation. The PAD image resulting from ionization with LCP light exhibits an asymmetry with respect to the light propagation (more signal inforward direction) whereas for RCP light more signal is observed in the backward direction. Second row: PAD images for (S)-(�)-camphor. Notethe change in signal asymmetry in forward/backward direction. Third row, left image: PECD signal—taking LCP-PAD image minus RCP-PADimage—for (R)-(+)-camphor; middle image: PECD signal for (S)-(�)-camphor; note the reversed asymmetry in forward/backward direction onchanging the enantiomer; right image: the difference of the PECD signals of the R- and S-enantiomers shows the complete antisymmetry in ourexperiment by removing residual instrumental asymmetries; for comparison, the numbers in the color scale were multiplied by 0.5 in the latterimage. b) Same as (a) for fenchone.

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0.56 eV, both with a full-width at half maximum (FWHM) ofapproximately 0.23 eV. These values are 200 meV lower thanexpected from the above mentioned vertical ionizationpotentials from synchrotron experiments but in reasonableagreement considering the 2+1 REMPI process. In additiondynamic resonances can modify the excess energy[25] andmultiphoton resonances are likely to be shifted by strongfields.[26] The involved Legendre coefficients ckl out of thepBasex are summarized in Figure 3a for camphor and inFigure 3b for fenchone. The coefficients are averaged overabout 17 Gaussian basis sets within the FWHM of the kinetic-energy distribution. The expected main contribution of thethird Legendre polynomial to the PECD on camphor and thedominance of the first Legendre polynomial in the fenchonedata are clearly visible. It is also seen that all odd Legendrepolynomials change sign either on changing the helicity of thelight or the handedness of the molecule whereas the evencontributions do not. The coefficients ckl are tabulated inTable S1 and S2 in the Supporting Information. The reportedvalues are robust within� 0.3 (absolute value) with respect topressure variations between 1 � 10�6 and 6 � 10�6 mbar rulingout contributions from space charge effects and also withrespect to intensity variations from 0.3 I0 to 1.2 I0 ruling outa significant change of ionization processes in this intensityinterval. Also no fundamental change of the PECD signal wasobserved when changing the chirp (i.e. a linear variation offrequency with respect to time) from �500 fs2 to +2000 fs2.At the highest intensities, electrons with an additional energyof one photon are also observed originating from abovethreshold ionization (ATI). These ATI electrons also showasymmetries with respect to the forward/backward direction

of the light propagation, however, the low signal-to-noiseratio has so far prevented us from providing quantitativeinformation about this contribution.

In summary we have demonstrated a circular dichroismeffect in the � 108% regime derived from images of photo-electron angular distributions resulting from resonanceenhanced multiphoton ionization of randomly orientedchiral molecules in the gas phase. Camphor and fenchonewere chosen as prototypes. So far this circular dichroismeffect was only observed in one-photon ionization experi-ments at synchrotron facilities. We believe that our table-toplaser-based approach opens the door to many analyticalapplications. In the future we will explore the nuclear andelectron dynamics of the intermediate resonance with thehelp of coherent control techniques.[27] In addition to a pos-sible enhancement of the effect, such studies may also help todetermine the absolute configuration by comparison withab initio quantum-dynamic calculations.

Received: December 21, 2011Published online: February 20, 2012

.Keywords: chirality · circular dichroism ·femtosecond laser pulses · multiphoton ionization ·photoelectron spectroscopy

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Figure 3. a) Upper row: Abel-inverted PECD signal for (R)-(+)-camphor and decomposition into symmetric and antisymmetric components. Themain contribution to the photoelectron signal is at 0.52 eV. Lower part: Retrieved averaged Legendre coefficients ckl from the different orders ofLegendre polynomials Pl schematically shown on the left side. Red bars: LCP amplitudes, green bars: RCP amplitudes. All odd Legendrepolynomials change sign either on changing the helicity of the light or the handedness of the molecule (difference indicated with blue arrows)whereas the even contributions do not. b) Same as (a) for fenchone. The maximum of the kinetic energy distribution is at 0.56 eV.

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Supporting Information

� Wiley-VCH 2012

69451 Weinheim, Germany

Circular Dichroism in the Photoelectron Angular Distributions ofCamphor and Fenchone from Multiphoton Ionization withFemtosecond Laser Pulses**Christian Lux, Matthias Wollenhaupt, Tom Bolze, Qingqing Liang, Jens Kçhler, Cristian Sarpe,and Thomas Baumert*

ange_201109035_sm_miscellaneous_information.pdf

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Supporting Information

Details of experimental setup: The experimental setup is displayed in Figure 1 a. Femtosecond laser pulses from an amplified 1 kHz Ti:sapphire laser system

(Femtolasers Femtopower Pro) are frequency doubled in a 0.2 mm thick β-BBO crystal resulting in pulses at a central wavelength of 398 nm and 9 nm FWHM. In situ dispersion compensation on multi photon ionization of Xe atoms resulted in bandwidth limited pulses of 25 fs duration (FWHM) assuming a Gaussian temporal profile. In the beam path in front of the spectrometer a dichroitic UV-polarizer (CODIXX) is used to ensure linearly polarized light (LIN) in a horizontal plane coplanar to the multi channel plate (MCP) detector plane, followed by an achromatic quarter wave plate (QWP) (B. Halle Nachfl.) to generate either left- (LCP) or right-circularly polarized (RCP) light where the optical convention is used.[11] The degree of polarization was measured with an additional polarizer after the QWP for LIN, LCP and RCP light. The result is shown in Figure 1 b. The power ratio of the semiaxes with respect to 0° and 90° directions is ~ 1.25, the derived value of the Stokes S3 parameter is |S3| = 99 %. No stress-induced birefringence was observed in the entrance window of the spectrometer. The pulses were focused with a lens of 200 mm focal length. At 2.5 mW average laser power we obtain a peak intensity I0 of about 5×1013 W/cm2 (maximum in time and space for Gaussian profiles). A home-built imaging spectrometer[16] is used in VMI mode to record the images of the PADs and also in Wiley-McLaren mode to record ion time of flight (TOF) spectra. For energy calibration a 3+1 REMPI process on Xe atoms by the third harmonic of a nanosecond Nd:YAG laser was employed. A resolution of 60 meV FWHM at an energy of about 0.5 eV was determined. The ion TOF spectrometer was calibrated with Xe isotopes and water. Instrumental asymmetries of the VMI spectrometer due to perturbing magnetic fields were corrected for by Helmholtz coils adjusted to yield symmetric PAD images from MPI of xenon with LIN light pulses from our frequency doubled femtosecond laser. Camphor and fenchone were purchased at Sigma-Aldrich with an enantiomeric purity > 95 %. Both substances were appropriately heated over the complete gas inlet and effusively expanded through a small copper tube with an inner diameter of 0.3 mm to obtain the same chamber pressure of about 3×10-6 mbar for all measurements. Without gas inlet the chamber pressure was an order of magnitude lower. The interaction region was 5 mm downstream from the exit of the copper tube.

Page 8: Circular Dichroism in the Photoelectron Angular ...€¦ · depictedinFigure 1cwheretheregionoftheB band[18] actsas the resonant intermediate state. The vertical ionization potential

Decomposition of the PECD signals into symmetric and antisymmetric parts

Figure S1. a) Top row: PAD images from (R)-(+)-camphor resulting from ionization with LIN, LCP and RCP light, respectively. The laser propagation indicated by an arrow is from left to right. For ionization with LIN light the PAD image is symmetric with respect to the light propagation. The PAD image resulting from ionization with LCP light exhibits an asymmetry with respect to the light propagation (more signal in forward direction) whereas for RCP light more signal is observed in the backward direction. Second row: PAD images for (S)-(-)-camphor. Note the change in signal asymmetry in forward / backward direction. Third row: left image: PECD signal for (R)-(+)-camphor from LCP-PAD image minus RCP-PAD image; note the asymmetry in forward / backward direction. Middle and right image: In order to visualize the antisymmetry, a decomposition of the PECD signal in its symmetric part and antisymmetric part was performed. The antisymmetric part was obtained by subtracting the symmetrized part (derived by 180° back-folding) from the original PECD signal. The antisymmetric part of the PECD signal exhibits the two expected symmetry properties: (1) it changes sign in forward / backward direction and (2) it also changes sign upon substitution of the enantiomer as displayed in the fourth row: PECD signal for (S)-(-)-camphor and corresponding decomposition. The remaining smaller signals in the symmetric parts could be due to remaining small differences in the ellipticity for LCP and RCP light. Last row: the difference of the PECD signals of the (R)- and (S)-enantiomers. Note that the direct difference (left image) and the difference from the antisymmetrization (right image) are very similar, demonstrating the complete antisymmetry in our experiment by removing these residual instrumental asymmetries. b) Same as a) for fenchone.

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Retrieved Legendre coefficients Table S1. Retrieved Legendre coefficients ckl averaged over ~ 17 Gaussian basis sets within the FWHM of the kinetic energy distribution from camphor, resulting from ionization with LCP and RCP light, respectively.

Legendre Polynomial[a]

ckl (R)-(+)-Camphor LCP[a]

ckl (R)-(+)-Camphor RCP[a]

ckl (S)-(−)-Camphor LCP[a]

ckl (S)-(−)-Camphor RCP[a]

L0 60.8 63.5 61.0 63.5 L1 2.1 -1.0 -1.3 1.9 L2 -10.1 -7.6 -9.7 -6.8 L3 -2.7 2.8 3.2 -2.6 L4 -14.6 -14.4 -15.1 -14.9 L5 -0.8 0.4 0.3 -0.6 L6 7.7 8.8 7.7 8.8 L7 0.0 -0.4 -0.4 0.1 L8 -0.3 0.1 -0.3 0.0

[a] At an excess energy of 0.52 eV with an FWHM of ~ 0.23 eV.

Table S2. Retrieved Legendre coefficients ckl averaged over ~ 17 Gaussian basis sets within the FWHM of the kinetic energy distribution from fenchone, resulting from ionization with LCP and RCP light, respectively.

Legendre Polynomial

ckl (R)-(−)-Fenchone LCP[a]

ckl (R)-(−)- Fenchone RCP[a]

ckl (S)-(+)- Fenchone LCP[a]

ckl (S)-(+)- Fenchone RCP[a]

L0 66.9 66.6 65.0 66.9 L1 2.4 -6.0 -7.4 2.6 L2 -3.9 -2.6 -3.4 -2.8 L3 1.7 -0.5 -0.1 2.4 L4 -17.4 -16.7 -17.0 -17.0 L5 0.2 0.0 -0.1 -0.1 L6 6.4 6.5 6.2 6.6 L7 0.2 -0.3 -0.1 0.6 L8 0.3 0.4 0.1 0.3

[a] At an excess energy of 0.56 eV with an FWHM of ~ 0.23 eV