two-color threshold photoionization of jet-cooled aniline: vibrationally selective autoionization
TRANSCRIPT
Twocolor threshold photoionization of jetcooled aniline: Vibrationally selectiveautoionizationJames Hager, Mark A. Smith, and Stephen C. Wallace Citation: The Journal of Chemical Physics 84, 6771 (1986); doi: 10.1063/1.450680 View online: http://dx.doi.org/10.1063/1.450680 View Table of Contents: http://scitation.aip.org/content/aip/journal/jcp/84/12?ver=pdfcov Published by the AIP Publishing Articles you may be interested in Two-color resonantly enhanced multiphoton ionization and zero-kinetic-energy photoelectronspectroscopy of jet-cooled indan J. Chem. Phys. 122, 244302 (2005); 10.1063/1.1938927 Observation of torsional motion in the groundstate cation of jetcooled tolane by twocolor thresholdphotoelectron spectroscopy J. Chem. Phys. 97, 1649 (1992); 10.1063/1.463153 Autoionizing Rydberg structure observed in the vibrationally selective, twocolor, threshold photoionizationspectrum of jetcooled aniline J. Chem. Phys. 83, 4820 (1985); 10.1063/1.449010 Two color photoionization spectroscopy of jet cooled aniline: Vibrational frequencies of the aniline X̃2 B 1radical cation J. Chem. Phys. 80, 3097 (1984); 10.1063/1.447124 Twocolor photoionization of naphthalene and benzene at threshold J. Chem. Phys. 75, 2118 (1981); 10.1063/1.442315
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Two-color threshold photoionization of jet-cooled aniline: Vibrationally selective autoionization
James Hager, Mark A. Smith,a) and Stephen C. Wallace Department of Chemistry, University of Toronto, Toronto, Ontario Canada M5S IAI
(Received 6 February 1986; accepted 14 March 1986)
We report the re~ul~s o~investiga~ions of the autoionization of jet-cooled aniline-h7 and -d7• Using two-color p~~tOlomzatton techmques, we have observed autoionization of high lying Rydberg levels contammg quanta of the nontotally symmetric vibrational modes lOb, I, and 15. No autoionization is observed for Rydberg states containing only totally symmetric vibrational excitation. In all of the spectra in which autoionization is found, the mechanism is vibrationalelectronic coupling (vibrational autoionization) with a characteristic Av = - 1 propensity. An upper limit for the autoionization rate of 2 X 1012
S -I has been determined from linewidth measurements. Possible explanations are presented and discussed for the activity of only nontotally symmetric vibrational modes in the autoionization process.
I. INTRODUCTION
The study of high lying Rydberg states of aromatic systems has been of considerable interest to spectroscopists for many years. 1 It has been only recently however that, by combining supersonic expansion technology and intense laser light sources, detailed spectroscopic and dynamic information has been obtained for Rydberg states of molecules such as benzene1 and toluene.3 Of particular interest is that Rydberg states lying above the adiabatic ionization potential can couple with the ionization continuum and autoionize.4 A Rydberg level at such energies is often considered to consist of an excited ion core with various amounts of electronic, vibrational, and rotational energy and a Rydberg electron. Transfer of energy from the excited core to the Rydberg electron often leads to autoionization. The most comon mechanism for autoionization of a polyatomic molecule is vibrational autoionization.s This process involves conversion of vibrational energy of the ion core to additional excitation of the Rydberg electron producing an ion with less vibrational excitation than that characteristic of the Rydberg state. In the present paper, we report the results of a comprehensive investigation of autoionization of high lying Rydberg states of the aniline molecule prepared by a two-color excitation process. By preparing an intermediate vibronie level with one laser and tuning the second laser near the ionization threshold, we have identified ions produced by a vibrational autoionization mechanism.
In addition to ion intensity due to autoionization, photoionization spectra contain substantial intensity from direct ionization processes. Direct ionization is characterized by immediate ejection of an electron upon the absorption of an ionizing photon.4 At threshold, photoionization spectra displaying direct ionization can be described by a step function corresponding to the ionization onset with a relatively slow variation in ion production as the ionizing light is tuned to higher energies.6 One may also observe subsequent steps corresponding to the production of an ion in higher vibrational states. For direct ionization of aniline, we? and others8 have
a) Permanent address: Department of Chemistry, University of Arizona, Tucson, Arizona.
shown that the Franck-Condon factors for ionizing transitions originating from the IBl excited state show a strong propensity for Av = 0 transitions. In the present study, our results show the same Av = 0 propensity for the excitation from I Bl vibronic levels to the highly excited Rydberg states. This fact has proven to be very important in the analysis of the autoionization mechanism.
We have reported9 preliminary results demonstrating vibrational autoionization in the two-color threshold photoionization spectra of jet-cooled aniline. The two-color technique is extremely useful for investigations of vibrational autoionization. In this experimental scheme,lo the pump laser selects a specific vibrational level of the first excited singlet state eB1 ) and the second laser further excites the molecules to energies near the first ionization potential. Thus, one has access to molecular transitions lying in the vacuum ultraviolet. By exciting different intermediate vibronie states and then photoionizing from these prepared states, one is not limited to a single set of Franck-Condon factors for the ionization step. Furthermore, one can investigate the role of specific vibrational modes in the ionization process.
In this paper we present photoionization efficiency (PIE) spectra of jet-cooled aniline and discuss the assignments of the direct and autoionization signal. In general, we observe vibrational autoionization only in two-color spectra corresponding to ionization from vibronic levels characterized by quanta of nontotally symmetric vibrations. From these spectra, we have been able to assign four Rydberg series, all bands of which are located within one ionic ground state vibrational quantum of the direct ionization threshold. The results are discussed within the framework of a simple model of vibrational autoionization based on the breakdown of the Bom-Oppenheimer approximation.
II. EXPERIMENTAL DETAILS
The supersonic beam/quadrupole mass spectrometer employed for these two-color photoionization studies has been described in detail in previous publicationsY I Consequently, only a brief description will be given here. The inter-
J. Chern. Phys. 84 (12), 15 June 1986 0021-9606/86/126771-10$02.10 @ 1986 American Institute of Physics 6771
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6772 Hager, Smith, and Wallace: Photoionization of aniline
mediate vibronic level was prepared using the frequency doubled light from a Nd:YAG pumped dye laser (Quanta Ray-IA and PDL-t). The linewidth of the UV light was found to be approximately 0.2 cm - 1 with pulse energy of > 4 mJ which was reduced with neutral density filters to approximately 100-200 pJ in order to minimize one-color ionization signal. For the ionization laser, we have used a XeCl (Lumonics 860-T) pumped dye laser (Lumonics EPD-330) operating on the UV dyes DMQ, TMQ, or PTP. This laser produced pulses of 3-8 mJ, 7 ns in duration, with a bandwidth of approximately 0.2 cm -I. The interaction region in the supersonic jet is defined by the spatial overlap of the two counterpropagating lasers. Due to the high ionization efficiency of aniline, only slight focusing of the laser beams is required. Temporal overlap of the lasers, power normalization, and data acquisition were done as earlier published.7
•11
In certain instances it was necessary to prepare the intermediate IB2 1evel by excitation of a hot transition. This was accomplished by reducing the backing pressure of the expansion, and in some cases, saturating the hot transition.
The ions produced in the supersonic expansion are accelerated into the quadrupole mass spectrometer with a very small voltage « 1 V /cm) where they are focused and analyzed. This small accelerating voltage was found not to affect the position of the direct ionization thresholds reported here. In several spectra we have investigated, larger electric fields (1-4 V /cm) in the laser interaction region were found to result in broadened autoionization peaks as well as an increase in a two-color ionization background immediately above the aniline adiabatic ionization potential. Consequently, the voltage on the accelerating plate was maintained at < 1 V /cm for all the spectra reported here.
In these experiments, the identity of the ionized molecule was determined initially with the quadrupole mass filter. In each case only the parent aniline-h7 or -d7 cation was observed with no fragmentation evident. This allows a more sensitive technique to be used for recording PIE spectra, namely using the quadrupole as a total ion accelerating region by turning off the ac fields associated with the mass spectrometer. All band positions and ionization thresholds
(0) 0-0
(b)
62.000 62,500
Two-color Energy/cm-I
reported here are in vacuum wave numbers. Experimental uncertainties are obtained from the deviation from the average value of at least three spectra.
The aniline samples used in these studies were obtained commercially and used without further purification. Aniline-h7 (99 + %) was obtained from Aldrich and the fully deuterated sample (98%) was obtained from MSD Isotopes.
III. RESULTS A. Anlllne-h7
When aniline is ionized from the band origin of the A ( 1 B2 ) electronic level, one observes a single sharp ionization onset corresponding to the adiabatic ionization potential measured7 to be at 62 265 ± 18 cm - I. Figure 1 (a) displays such a PIE spectrum. As one can see from this figure, there is no resolvable pre- or post-threshold structure. This is characteristic of an ionization process dominated by direct ionization. Indeed, the PIE spectra of most of the vibronic bands we have examined show similar behavior. Figure 1 (b) illustrates the spectrum obtained when the intermediate level corresponds to the oo~ vibronic band. Here, the ionization onset is shifted from that obtained for the 0-0 PIE spectrum by an energy equivalent to the value of the one quantum excitation of the 00 mode in the ground ionic state (545 ± 10 cm -1). From this spectrum and others we have reported,7
one can see that there is a strong propensity for au = 0 ionizing transitions from the IB2 vibronic levels which has enabled us to determine vibrational frequencies of the ground state of the aniline radical cation. Our earlier study7 also indicated that, for most of the bands investigated, direct ionization is the dominant process reflecting the similarity of the neutral I B2 and ground ionic state potential surfaces. In fact, direct ionization is the only observable process for photoionization from IB2 vibrational modes: 00, 12, 1, 13, and their overtones and intercombinations. The present results, however, show conclusively that this is not the case for ionization from many other IB2 vibrational levels. The normal modes of interest in this investigation are displayed in Fig. 2.
63,000
FIG. 1. The two-color PIE spectra obtained withAl fixed at (a) and IB2 origin and (b) the 6a~ transition.
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Hager, Smith, and Wallace: Photoionization of aniline 6773
~~~ $
~ * 0 cS FIG. 2. Pictorial representation of select
ed aniline normal modes in the C 2. point group. The inversion mode includes some movement of the ring atoms which is not shown in the figure.
°1 °2 bl
1. Inversion mode; I
Figure 3 shows the PIE spectra we have obtained when aniline is photoionized from the I 1, I ~, and I ~ I B2 transitions. In these spectra there are two distinct photoionization processes: one marked by the direct ionization onset, similar to that illustrated for the 0-0 and 6a~ bands, and one characterized by sharp band structure. We shall consider the direct ionization thresholds first. The ionization onsets exhibiting step-function behavior are located at 655 ± 10 cm -I [I:, Fig. 3(a)], 1320 ± 15 cm- I [I~, Fig. 3(b)], and 1980 ± 15 cm - I [I ~ , Fig. 3 ( c )] above the aniline adiabatic I. P. These values are in excellent agreement with the recently determined inversion mode intervals in the ionic ground state. Using MPI photoelectron techniques, Meek et al.s have measured the first three members of the aniline radical cation inversion mode progression to be 645, 1315, and 1960 cm-I, respectively. Thus, the av = 0 propensity for the direct ionization process is maintained for low energy excitation in the inversion normal mode despite the large changes in vibrational frequency in going from the excited neutral (I~ = 0 + 760 cm- I
) to the ground state ion. In addition, the aniline radical cation is characterized by a harmonic potential for the inversion normal mode through v = 3 compared to a quartic potential (IB2 state) and a double minimum potential (X state) for the two lowest energy electronic states ofthe neutral molecule. 12,13
62,:DO 63,CXYJ 63.:DO Two-color Energy/em-I
b2
The band structure in each of the two-color PIE spectra displayed in Fig. 3 is identified9 with the autoionization of highly excited states of neutral aniline, in this case, Rydberg states with high principle quantum numbers. Assignment of the Rydberg bands was carried out using the Rydberg equation
E= I.P. -R(n - c5) -2.
From analysis of the bands in the I I PIE spectrum, we have been able to assign four Rydberg series with quantum defects of c5 = 0.78 ± 0.04 (n = 14-21), c5 = 0.45 ± 0.02 (n = 13-25), c5 = 0.41 ± 0.02 (n = 13-17), and c5 = 0.22 ± 0.02 (n = 13-24) each converging to the I.P. associated with the radical cation with the same number of quanta in the inversion mode as that of the intermediate state.
The values of these quantum defects implyl that the c5 = 0.78 series belongs to an s series, the c5 = 0.45 and c5 = 0.41 bands to p series, and the c5 = 0.22 bands to a d series. The only other investigation of aniline Rydberg states that we are aware of is that of Fuke and Nagakural4 who have reported series quantum defects of 0.53 and 0.19 based on observation of n = 3-5. Table I provides the band positions for the Rydberg series observed in the PIE spectra of the I I band and Table II is a summary of the quantum defects observed for the Rydberg series in other PIE spectra we have measured.
Examination of each of the three spectra in Fig. 3 shows
64,CXYJ
FIG. 3. The two-color PIE spectra obtained with A,I fixed at (a) the n transition. (b) the I~ transition, and (c) the n transition.
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6774 Hager, Smith, and Wallace: Photoionization of aniline
TABLE I. Band positions and assignments of autoionization features observed in the PIE spectrum of the /: I B2 transition.
Observed (calculated) band positions/cm- I
n 8=0.22 8 = 0.41 8 = 0.45 8 = 0.78
13 62251(62248) 62230(62228) 62224(62222) 14 62343(62342) 62329(62326) 62324(62322) 62295(62292) 15 62418(62418) 62400(62404) 62400(62402) 62378(62377) 16 62480(62479) 62469(62468) 62463(62466) 62445(62446) 17 62530(62530) 62520(62521) 62512(62519) 62502(62503) 18 62570(62573) 62565(62564) 62550(62550) 19 62610(62609) 62602(62601) 62586(62589) 20 62640(62640) 62631(62633) 62620(62623) 21 62669(62666) 62660(62660) 62650(62652) 22 62690(62689) 62684(62684) 23 62709(62709) 62706(62704) 24 62726(62726) 62724(62722) 25 62738(62738)
that this structure begins at approximately the same energy relative to the direct ionization onset ( - 660 cm -1) regardless of the number of inversion quanta characterizing the intermediate IB2 state. In addition, one should note that all of the Rydberg structure lies within the ionization continuum. Using the value of an ionic ground state inversion mode quantum of -655 cm-I, one can identify the beginning of the autoionization bands with the energy corresponding to one quantum less excitation in the ion than that produced by direct ionization. This implies that the autoionization process shown in these spectra are characterized by a Av = - 1 propensity. Thisis in accord with Berry'sl5 vibrational autoionization propensity rule for harmonic oscillator behavior.
We have also investigated the photoionization behavior of intermediate vibronic states that are combination vibrations of inversion and totally symmetric modes. Figure 4 displays the PIE spectrum of the 601
11 and the 601/2 IB2
levels. The direct ionization thresholds in these two spectra again correspond to Av = 0 ionizing transitions and give the values of the 6a(v = 1 )/(v = 1) and 6a(v = 1 )/(v = 2) excitations in the ground state of the radical cation (1512 and 2045 cm-I, respectively). In addition, there is some rather weak autoionization structure which begins at approximately - 660 cm -1 with respect to the direct ionization thresholds. This interval is much closer to the ionic ground state value of one quantum ofinversion than 60 (545 cm -1). Consequently, we have assigned this structure to vibrational autoionization in which the propensity is to lose one quan-
TABLE II. Summary of quantum defect values for aniline PIE spectra.
IB2 Level Quantum defect
60 1/
2
602/
2
11[2
lOb 2
601 lOb 2
152
0.22 ± 0.02, 0.41 ± 0.02, 0.45 ± 0.03, 0.78 ± 0.04 0.21 ± 0.02, 0.41 ± 0.02, 0.46 ± 0.03, 0.80 ± 0.04 0.22 ± 0.03, 0.40 ± 0.03, 0.43 ± 0.02, 0.47 ± 0.03, 0.81 ± 0.03 0.20 ± 0.02, 0.45 ± 0.03 0.21 ± 0.03, 0.46 ± 0.03 0.22 ± 0.03, 0.42 ± 0.03 0.38 ±0.04 0.40 ± 0.04 0.22 ± 0.03, 0.40 ± 0.03, 0.46 ± 0.04
tum of the inversion mode rather than the 60 mode. Similar results have been obtained for the combination
vibration 1112 which shows very weak autoionizing structure commencing at approximately 650 cm -1 below the direct ionization threshold as is shown in Fig. 5. This is again close to the value of one quantum of the inversion mode in the ground ionic state (in the ionic ground state 11 = 837 ± 15 cm -1). Photoionization of several other inversion combination modes failed to reveal any autoionization structure. The 12112 and the 60212 vibronic levels were found to be characterized by multiple thresholds devoid of any reproducible band structure.
We have made a survey of the linewidths of the autoionization structure in these spectra. Unfortunately, because of the relatively high principle quantum numbers (n = -14-30) and the four different Rydberg series present, there are only a few examples ofisolated spectral bands which contain no contribution from adjacent transitions. Typical linewidths are found to be approximately 9-10 cm -1 which is considerably larger than the < 1 cm - 1 band width of the ionizing laser or the 4 cm -1 rotational band contour in the IB2 intermediate state. If these linewidths are due solely to lifetime broadening, we can place an upper limit on the rate of autoionization of approximately 2 X 1012 S -1.
2. Out-of-plane modes; 16a and 10b
Figure 6 provides examples of the PIE spectra obtained for the 16a~ (0 + 352 cm- I
) and lOb~ (0 + 348 cm- 1)
vibronic excitations. 16 In Fig. 6 (a) one can see that for 16a~, direct ionization is the dominant photoionization mechanism. However, there are two distinct ionization thresholds: one at + 361 ± 10 cm -I and the other at + 712 ± 15 cm - I
with respect to the aniline adiabatic J.P. This is in contrast to the results for most of the PIE spectra we have investigated which typically exhibit a very strong propensity for Av = 0 direct ionization. Here, the Franck-Condon factors for the Av = 0 and Av = 1 processes are comparable. In addition, there is no evidence for any autoionization in the PIE spectra of the 16a~ band. Since there is only a minimal frequency change in the 160 mode upon ionization, we suggest that the high intensity of the t::.v = 1 direct ionization process is due to a shift in the origin of this normal coordinate in the ion with respect to that of the IB2 state.
In Fig. 6 (b), the PIE spectrum of the lOb ~ vibronic transition is presented. As was observed in the case of the PIE spectra of the inversion progression (v' = 1,2,3), there is both direct ionization and autoionization. The direct threshold was measued to be at 352 ± 10 cm -I above the aniline adiabatic I.P.; this interval being assigned to the two quanta excitation ofthe lOb mode in the ground state of the radical cation.
At energies between the adiabatic and vertical I.P.'s there is again band structure indicating autoionization. Here, the structure commences approximately 180 cm- 1
above the adiabatic I.P. or at the energy corresponding to the one quantum excitation of lOb in the ionic ground state. Thus, the vibrational autoionization propensity for t::.v = - 1 is maintained for photoionization from the lOb 2
level.
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Hager, Smith, and Wallace: Photoionization of aniline 6775
(0)
63,000
(b)
63,500
Two-color Energy /cm- I
Investigation of the combination band 606 lOb ~ has also revealed signs of vibrational autoionization [Fig. 6 ( c) ] . The direct ionization threshold was found to be 877 + 15 cm- I above the adiabatic J.P. This value correspondsto a ll.v = 0 ionizing transition from the 60 11 Ob 2 excited state level. Weak autoionization structure begins approximately 170 cm -I to lower energy with respect to the direct ionization onset. This energy is about that expected for the ground ionic level 6a(v = 1)10b(v = 1), and consequently the obervation of a ll.v = - 1 vibrational autoionization process. Note that, in this example of vibrational autoionization, the core preferentially gives up a quantum of lOb rather than 60.
3. In-plsne mode; 15
We have also observed autoionization in the two-color PIE spectrum of aniline photoionized from the 152 level. The normal mode 15 is of b2 symmetry in the C 2V point group and involves tangential motion ofthe amino substituent relative to the phenyl ring as shown in Fig. 2. The PIE spectrum
63,500 64,000 Two-color Energy / cm- I
64,000
FIG. 4. The two-color PIE spectra obtained withAl fixed at (a) the6a~ n transition and (b) the 6a~ I~ transition.
obtained upon photoionization from this level is shown in Fig. 7. This spectrum again displays both direct ionization and autoionization. The direct ionization threshold in this spectrum is located 724 ± 15 cm - I above the aniline adiabatic J.P. Assignment of this threshold is made difficult by the nature of the structural changes between the neutral excited and ionic ground states. Calculations suggest that removal of an electron from the highest occupied biorbital introduces a degree of double bond character in the N-C bond. 17
The strengthening of this bond leads to the pronounced increase in the frequency of the inversion mode upon photoionization. Since the N-C bond strength is an important factor in determining the frequency of the 15 mode, one also expects a similar increase in this frequency in the ionic ground state compared with neutral electronic states. Using this argument, we assign the 724 cm -I interval in the PIE spectrum to the one quantum excitation of 15 in the ground electronic state of the aniline radical cation. Accordingly, the direct ionization threshold corresponds to the ionizing
64,500
FIG. 5. The two-color PIE spectra obtained withAl fixed at the 1~ 1~ transition.
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6776 Hager, Smith, and Wallace: Photoionization of aniline
(0)
62,500 63,000 Two-color Energy / cm- I
(b)
FIG. 6. The two-color PIE spectra obtained with A I fixed at the (a) the 16a~ band, (b) the IDb~ band, and (c) the 6ab 1 Db ~ transition.
(c) I 2 600 lObo
I I 62,400 62,600 62f3(XJ 63,000 63,200
Two- color Energy/cm- I
transition from 15\.:4' lB2 ) to 15 1(X+ 2BI). The autoionizing structure in this spectrum is found to
begin at the adiabatic I.P. If the assignment of the direct ionization threshold is correct, the vibrational autoionization in this PIE spectrum is characterized by Ilu = - 1.
B. Anlllne-d,.
We have also investigated the PIE spectra of several A state vibrational levels of aniline-d7 in order to confirm the assignments of the autoionizing Rydberg series observed in the undeuterated molecule. As an example, we present the two-color PIE spectrum of the I: excitation in Fig. 8. The direct ionization threshold in this spectrum is located at 62 673 ± 10 em -I, or 465 em -I above the aniline-d7 adiabatic J.P. (62208 ± 10 em-I). This interval corresponds to the single quantum excitation of the inversion mode in the ground state of the aniline-d7 radical cation. There is, in addition to the direct ionization pathway, also significant ion intensity in the autoionizing Rydberg band structure
between the adiabatic and vertical ionization potentials. Analysis of this structure using the Rydberg formula allows us to identify the quantum defects of each series. As was observed for the undeuterated molecule, the most intense series is characterized by 8 = 0.44 ± 0.02. Other observed Rydberg series have quantum defects of8 = 0.80 ± 0.04 and 8 = 0.22 ± 0.03 in good agreement with the results for aniline-h7• Table III provides a summary of the band positions and assignments of the Rydberg levels observed in the PIE spectrum of the I: band of aniline-d7•
Photoionization from the I 2 and 1 3 excited state vibrations results in almost exclusive direct ionization signal. Using the fact that for direct ionization we see almost dominating Ilu = 0 processes, these spectra have allowed us to determine values for the inversion mode progression (u = 1-3) in the ground state of fully deuterated aniline. These values are 940 ± 15 em-I (u = 2) and 1400 ± 15 cm- 1
(u = 3). Combining these measurments with the interval for I( u = 1), one can see that the inversion potential of aniline-
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Hager, Smith, and Wallace: Photoionization of aniline 6777
62,000 I I I
62,500 Two-color Energy / cm- I
d7 radical cation is quite harmonic at lower energies consistent with a planar geometry. 7,8
C. Search for collision-Induced autolonlzatlon
Under much higher sensitivity, we have investigated possible contributions to the autoionization signal from collision-induced sources. All of the autoionization intensity reported above is seen within the ionization continuum, and only one vibrational quantum lower in energy than the direct ionization onset. Ito and co-workers,18 however, have recently observed autoionizing Rydberg structure at energies lower than the adiabatic I.P. of jet-cooled trans-stilbene. They explain this result in terms of autoionization of highlying Rydberg states of the neutral molecule induced by the
I I 62,200 62,400 62.600
Two-color Energy / cm- I
63,000
FIG. 7. The two-color PIE spectrum obtained with ,.1.1 fixed at the 1 S~ transition.
very low energy collisions taking place in their free-jet expansion. We have also searched for such phenomena in the two-color photoionization spectra of aniline-h7 and -d7 ionized from the 1 B2 electronic state origin. Considering the ll.v = 0 propensity for direct ionization, any autoionization observed in these spectra would be below the adiabatic I.P. and likely due to collisional processes. We have carefully searched for such behavior in our aniline spectra but have not been able to observe collision-induced autoionization. This has been found to be the case independent of variations in the nozzle position and backing pressure behind the expansion orifice. This, together with the fact that only specific vibrational modes are found to exhibit autoionization, confirms that this process occurs by a "collision-free" mechanism.
FIG. 8. The two-color PIE spectrum obtained with ,.1.1 fixed at the I: transition of
aniline-d7•
62.800
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6778 Hager, Smith, and Wallace: Photoionization of aniline
TABLE III. Band positions and assignments of autoionization features in the PIE spectrum of the I l I B2 transition of aniJine-d7 •
Observed (calculated) band positions/ cm - I
n {j=0.22 {j = 0.44 {j = 0.80
16 62222(62219) 17 62285(62283) 62273(62272) 62257(62256) 18 62327(62326) 62317(62317) 62300(62303) 19 62364(62362) 62353(62354) 62341(62342) 20 62392(62393) 62387(62386) 62376(62376) 21 62419(62419) 62412(62413) 22 62441(62442) 62437(62437) 23 62462(62462) 62459(62457) 24 62479(62479) 62476(62475)
IV. DISCUSSION
In the previous section, we identified four Rydberg series converging to ionization thresholds corresponding to vibrationally excited levels in the ground electronic state of the aniline radical cation. Our studies show that when aniline is photoionized near threshold from the] I, ] 2, ] 3, 60 I] I, 6a l
]2, 11]2, lOb 2, 60 1 lOb 2, and 152vibroniclevels, autoionizing structure is observed between the adiabatic and vertical ionization potentials. In all these cases, the vibrational autoionization is characterized by a au = - 1 propensity. We have not observed autoionization in the PIE spectra involving solely totally symmetric vibrations 60, 1, 12, or 13. Thus, it appears that the presence of the nontotally symmetric modes lOb,], and 15 in the highly excited Rydberg states has a profound influence on the competition between direct ionization and autoionization processes. This involvement of specific normal modes in the autoionization process is quite unlike the recent observations of Ito and co-workers in their investigations of the higher excited states of the tertiary amines DABCOl9 and ABCO.20 These workers have demonstrated the rich autoionizing structure in the two-color photoionization spectroscopy of all major SI vibronic transitions of these "Rydberg molecules".
Two step, one-color photoionization of aniline from the IB2 excited state has been demonstrated to produce ion currents in the 10-9 range.21 This is due to the extremely large absorption cross section for the ionization step, which is reported to be as large,22 or larger,21 than that characterizing the 1B2 band origin 0-4.5 Mb). This coupled with the fact that the potential surfaces of the keB 1 ) and the 1ctB2 )
electronic states are quite similar, suggests that direct ionization is the dominant process leading to efficient two step ionization. Our two-color studies show that this is indeed the case in photoionization from totally symmetric 1B2 vibrational levels. However, for photoionization from vibronic levels containing quanta of modes lOb,], or 15 significant ion intensity is produced by a vibrational autoionization mechanism.
There are several requirements for the observation of vibrational autoionization in photoionization studies. 15,24 The high lying Rydberg states must be optically accessible with reasonable transition probabilities and Franck-Condon factors. In addition, the rate of autoionization must be
greater than, or comparable to, the rates of other processes of the neutral molecule, i.e., reradiation, predissociation, and nonradiative deexcitation. If these conditions are not fulfilled, autoionization will likely not be observed. The results presented here for aniline photoionization show that autoionization is observable from several specificSl vibronic levels but not others.
Vibrational autoionization occurs through the coupling of electronic and vibrational motion, and therefore, represents a breakdown of the Bom-Oppenheimer approximation. Within the Bom-Oppenheimer limit, the term in the Hamiltonian leading to this dynamic coupling is the nuclear momentum operator. 15 Considering a particular vibrational level of a particular electronic state, the Bom-Oppenheimer approximation to the wave function is t/J(q,Q)cp(Q). For coupling due to a single vibrational mode Q the matrix element ofthe major perturbation can be written asl5,23,24
a a (t/Jf(q,Q) I (CPf(Q) I aQ ICPi (Q» aQ It/Ji (q,Q» , (1)
where t/J(q,Q) is the electronic wave function and cp(Q) is the vibrational wave function within the adiabatic BomOppenheimer basis. The initial states of interest in this expression are the high lying Rydberg states and the final states are levels of the ionic ground state. Neglecting higher order vibronic effects, this matrix element can be rewritten as 15,24
a a (t/Jf(q,Q) I aQ It/Ji (q,Q» (CPf(Q) I aQ ICPi (Q» . (2)
Considering the vibrational part of this matrix element, one can see that for two harmonic potentials, the properties of Hermite polynomials lead to the au = - 1 propensity for autoionization. Deviations from au = - 1 behavior are usually considered to be due to anharmonicity effects.25 Examination of the aniline PIE spectra which display autoionization shows that the av = - 1 propensity is upheld for all of the intermediate states. From these results, we may infer that the potentials for the normal modes lOb,] and 15 of the ion and the Rydberg levels are harmonic in the energy region we are probing.
If the potentials of the high-lying Rydberg state and the positive ion are similar to each other, then the electronic matrix element can be transformed int023
1 a - - (t/Jf(q,Q) I aQ U(q,Q) It/Ji (q,Q» ,
Eif (3)
where E if is the energy gained by the electron during autoionization and U(q,Q) is the total electrostatic interaction, or effective potential felt by the Rydberg electron. For calculations of the autoionization rates of the hydrogen molecule, U(q,Q) is expanded in spherical harmonics with only the spherically symmetric part retained for the calculation. 15
There are several possible explanations for the fact that we do not observe autoionization for vibronic levels containing only quanta of6a, 1, 12, and 13. It is conceivable that the transition probabilities and/or Franck-Condon factors for transitions from the intermediate levels such as 601, II, 121, etc. directly to the ion are much greater than those to the high lying Rydberg states. We do in fact observe extremely
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Hager, Smith, and Wallace: Photoionization of aniline 6779
high two-color photoionization efficiencies for ionization from these levels. For intermediate levels containing quanta of lOb, I, or 15, optical excitation ofthe Rydberg states may be more favorable compared with transitions directly to the ion. It is interesting to note at this point that all three of these normal modes involve deformation (out-of-plane or tangential) of the C-N bond of substantial amplitude. It is this bond that undergoes the most significant change upon ionization, developing double bond character in the ion. I7 This coupled with the fact that the molecular orbital from which the electron is being removed is partially localized on the CN bond 11 may lead to a greater probablity for excitation to the high lying Rydberg states rather than directly to the ion for these nontotally symmetric modes.
Another possibility is that the autoionization rate for the Rydberg states reached from an intermediate state such as 601 and 11 is less than that required to compete with other processes of the neutral molecule such as predissociation, radiative, and nonradiative transitions. Assuming that these deactivation processes of the neutral are approximately independent of the particular vibration excited, this would imply that the magnitude of the electronic matrix element (3) is strongly dependent on the vibrational motion of the core, and that the nontotally symmetric modes lOb, I, and 15, as well as several overtones and combinations, are characterized by substantially greater autoionization rates than for the totally symmetric vibrations.
Our studies of combination vibrations involving modes lOb or I with contributions from a totally symmetric mode (60 or 1) provide indirect information regarding this point. In these instances, the optically excited high energy Rydberg states contain quanta of both totally symmetric and nontotally symmetric modes. Here, there is the possibility of observing autoionization induced by the totally symmetric m9de, the nontotally symmetric mode, or both. This proves to be an excellent opportunity to investigate the role of specific vibrational modes in the electronic matrix element (3). The PIE spectra of these combination modes show that, upon autoionization, the core loses exclusively a single quantum of lOb or I rather than a quantum of a totally symmetric vibration. This indicates that the modes lOb and I are more effective than the totally symmetric modes in coupling the high lying Rydberg states with the ionization continuum.
It is of some interest to compare our photoionization spectra with several predictions of vibrational autoionization theory. As one excites Rydberg levels at high energies, it is expected that the intensity and breadth of the observed autoionization bands decrease1S,23,24 as n-3• This is due to a smaller probability for photoabsorption and for vibrational autoionization as a function of increasing energy. We do, in general, observe a rather dramatic decrease in the intensity of the autoionization bands as the laser is tuned to higher energies. Typically, this decrease is indeed found to go as approximately n-3
• The decrease in linewidth is not observed in our studies due to the fact that there is significant spectral overlap of the bands of the four series at the energy at which this effect is expected, i.e., that corresponding to high n Rydberg bands.
One should note however that the complexity of the real
full molecule dynamics for a large polyatomic species such as aniline necessitates our consideration of the problem in terms of the coupling of a single Rydberg series and one continuum. Of course, this overlooks the multichannel character of such high energy excitation of polyatomic molecules.26
V. CONCLUSIONS
The intense vibrational autoionization signal produced upon optical excitation of high lying aniline Rydberg states with specific vibrational excitation is a demonstration of the strong nuclear coordinate dependence of such processes. Our results put an upper limit on the aniline vibrational autoionization rate of 2 X 1012
S -I. In addition, several predictions for vibrational autoionization such as the av = - I propensity and the n- 3 dependence of the ion signal have been born out in the present work. The most dramatic result however is that excitation of the nontotally symmetric modes I, lOb, or 15 is required for the observation of vibrational autoionization. This suggests that these vibrations serve as "promoting modes" for the aniline vibrational autoionization process.
There is a need for further experimental and theoretical investigations of the phenomenon. Experimental studies currently underway in our laboratory include the measurement of absolute ionization cross sections of aniline twocolor photoionized near threshold. In addition, comparison of the present spectra with studies in which only threshold electrons are produced should show the contribution of autoionization to the total ion signal throughout the spectra.27
Two-color fluorescence-dip spectroscopyl8-20 enables the observation of Rydberg levels at energies below the adiabatic ionization potential. This will aid in studies of interactions between different Rydberg series at high energies.
Development of model potentials of polyatomic Rydberg levels will be useful in understanding the effective potential of the ionic core on the Rydberg electron. At the present time, no such model potentials without adjustable parameters are available.28
Finally, we have undertaken vibronic coupling calculations in order to determine whether a simple picture of the interaction between a single vibrationally excited Rydberg state and a continuum can account for the autoionization of Rydberg states characterized by specific vibrational excitation.
Interaction of a bound state with a continuum is an important area of research in the dynamics of polyatomic molecules and vibrational autoionization represents an excellent example of such dynamic coupling. The results and analysis presented here represent a first step toward the understanding of vibrational autoionization in "vibration-rich" aromatic molecules.
ACKNOWLEDGEMENT
This research was supported by the National Sciences and Engineering Research Council of Canada.
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6780 Hager, Smith, and Wallace: Photoionization of aniline
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J. Chem. Phys., Vol. 84, No. 12, 15 June 1986 This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:
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