RAPID COMMUNICATIONS IN MASS SPECTROMETRY Rapid Commun. Mass Spectrom. 13, 1515–1521 (1999) Internal Energy Content of n-Butylbenzene, Bromobenzene, Iodobenzene and Aniline Molecular Ions Generated by Two-photon Ionization at 266 nm. A Photodissociation Study Oh Kyu Yoon1, Wan Goo Hwang1, Joong Chul Choe2 and Myung Soo Kim1* 1 National Creative Research Initiative Center for Control of Reaction Dynamics and Department of Chemistry, Seoul National University, Seoul 151–742, Korea 2 Department of Chemistry, University of Suwon, Suwon 440–600, Korea A technique to investigate photodissociation kinetics on a nanosecond time scale has been devised for molecular ions generated by multiphoton ionization (MPI) using mass-analyzed ion kinetic energy spectrometry. The branching ratio or rate constant has been determined for the photodissociation of the nbutylbenzene, bromobenzene, iodobenzene, and aniline molecular ions generated by MPI at 266 nm. The ion internal energies have been estimated by comparing the measured kinetic data with the previous energy dependence data. The analysis has shown that only those molecular ions generated by two-photon ionization contribute to the photodissociation signals. Around half of the available energy has been found to remain as molecular ion internal energy in the two-photon ionization process. Copyright # 1999 John Wiley & Sons, Ltd. Received 26 April 1999; Revised 14 May 1999; Accepted 18 May 1999 A variety of techniques have been used to investigate unimolecular dissociation of ions. Direct measurements of rate constant and kinetic energy release provide invaluable information for understanding ionic dissociation dynamics. State-selective experimental results would be the most useful for the theoretical analysis of the dissociation process.1 However, such data are difficult to obtain, especially for ionic cases. Obtaining energy-selective data is not as difficult. These data, which are the averages over many quantum states, are usually compared with statistical theories such as the Rice Ramsperger Kassel Marcus (RRKM) theory2 to gain dynamical insight into the process. One of the most powerful techniques to measure dissociation rates of ions with well-defined internal energy is photoelectron-photoion coincidence spectrometry (PEPICO).3–9 Rates of dissociation occurring on the microsecond time scale can be determined reliably using this technique. Dissociations occurring on a time scale longer than a microsecond have been investigated by photodissociation ion cyclotron resonance spectrometry.10 In this laboratory, a technique has been devised to measure photodissociation rate constants and kinetic energy release distributions on the nanosecond time scale using mass-analyzed ion kinetic energy spectrometry (MIKES).11–15 Multiphoton ionization (MPI) has also been used to measure the dissociation rates on the microsecond time scale.16–19 Reports of rate constants measured by MPI have been limited to a few ionic systems such as the molecular *Correspondence to: M. S. Kim, National Creative Research Initiative Center for Control of Reaction Dynamics and Department of Chemistry, Seoul National University, Seoul 151–742, Korea. Contract/grant sponsor: CRI, the Ministry of Science and Technology, Republic of Korea. CCC 0951–4198/99/141515–07 $17.50 ions of benzene,16 chlorobenzene17,18 and aniline.19 In a standard MPI experiment the mechanism for the production of fragment ions is often complicated.20 Molecular ions generated by MPI may absorb further photon(s) and dissociate to fragment ions (MPID process). Or, neutral fragments may be formed by multiphoton absorption, which are then ionized by further absorption of photon(s) (MPDI process). Additional complications of this technique arise from the fact that it is difficult to control the number of photons absorbed. An extremely low level of laser intensity can be used to avoid the absorption of more photons than intended. Then, the nonlinear intensity dependence of the technique often results in extremely poor signal levels, which renders the technique useless. Theoretically, the main drawback of this technique in the study of ion dissociation dynamics is the uncertainty in the internal energy content of the molecular ions generated by MPI. This occurs because the photoelectrons ejected carry a range of kinetic energy. In this paper, we report a new technique to study the photodissociation of molecular ions generated by MPI on the nanosecond time scale. The two technical difficulties mentioned above are more or less avoided by separating the ionization and dissociation steps, spatially and temporally. To discover the influence of the third factor, namely that molecular ions with a range of internal energy is generated by MPI, the present technique has been applied to ionic systems with well-established kinetic information. These include the m/z 91/92 branching ratio in the dissociation of the n-butylbenzene molecular ion5,12,21 and the rate-energy relations for the losses of Br, I, and HNC from molecular ions of bromobenzene,6,7,13,22,23 iodobenzene,8,14,24 and aniline,9 respectively. Based on the experimental findings, the overall utility of the present technique for the ion dissociation study will be discussed. Copyright # 1999 John Wiley & Sons, Ltd. 1516 INTERNAL ENERGY CONTENT IN TWO-PHOTON IONIZATION Figure 1. Schematic diagram of the VG ZAB-E mass spectrometer modified for MPI-PD study. EXPERIMENTAL A double-focusing mass spectrometer with reversed geometry (VG ZAB-E; Micromass Plc, Manchester, UK) was used in this work with some modification (Fig. 1). The fourth harmonic (266 nm) from an Nd:YAG laser (QuantaRay GCR-150, MPI laser supplied by Spectra Physics Lasers Inc, Mountain View, USA) was irradiated into a homemade MPI source along the z-axis (corresponding to the direction of the magnetic field in the mass spectrometer). The spot size of the laser beam was 10 mm at the focus. The laser pulse energy was 10–15 mJ, pulse duration was 4–5 ns, and repetition rate was 50 Hz. In a typical experiment, the ion source was maintained at room temperature. The source temperature was raised to 200 °C for the temperature dependence study. Sample was introduced into the source via a septum inlet. Sample pressure in the source was 10ÿ4 Torr. Variation in the sample pressure by an order of magnitude did not affect the experimental results indicating that bimolecular processes were not important. The ions generated by MPI were accelerated to 8 keV. MPI mass spectra were obtained under the normal doublefocusing conditions. To observe photodissociation, a molecular ion beam was selected by the magnetic sector and then crossed perpendicularly with another Nd:YAG laser (Continuum Powerlite 6050, PD laser Continuum, Sauta Clara, CA, USA) inside an electrode assembly located near the intermediate focal point of the instrument.13 The PD laser beam was irradiated along the z-axis. A Pellin-Broca prism (CVI Inc, Albuquerque, NM, USA) was employed to separate the third (355 nm) or fourth (266 nm) harmonics from the unconverted visible beam. Laser pulse duration was 6–8 ns and repetition rate was 50 Hz. Laser pulse energy was reduced to 0.1 mJ using a half-wave plate and a Rochon (CVI Inc.) prism. Then, the beam was focused by a cylindrical lens with a focal length of 30 cm. The width of the laser beam along the ion-optical axis is estimated to be smaller than 60 mm in the laser beam - ion beam crossing region. Photodissociation (PD) yield was measured as a function of the laser beam intensity. The PD laser intensity was set such that the multiphoton process was not important. The translational kinetic energy of fragment ions produced by photoexcitation was analyzed by the electric sector. Recording the kinetic energy of fragment ions generated by the dissociation of mass-selected molecular Rapid Commun. Mass Spectrom. 13, 1515–1521 (1999) ions is called mass-analyzed ion kinetic energy spectrometry (MIKES). A schematic diagram for data acquisition is shown in Fig. 1. It takes a few tenths of a microsecond for the molecular ions generated in the MPI source to arrive at the electrode assembly where photodissociation occurs. Hence, for example, a time delay of 28 ms between the photoionization (PI) and PD laser pulses was used in the case of the n-butylbenzene molecular ion accelerated to 8 keV. The delay generator (SRS DG535 Standford Research Systems, Sunnyvale, CA, USA) also triggers the boxcar integrator (SRS SR250). The boxcar analog output was sent to a personal computer, which serves dual purposes of acquiring a MIKE spectrum and triggering the electronics for scanning the electric sector voltages. To improve the quality of a MIKE or mass spectrum, signal averaging was carried out for repetitive scans. The principle used to investigate photodissociation kinetics on the nanosecond time scale is similar to the previous technique using a continuous-wave Ar ion laser.11–15 To determine the rate constant, high voltages are applied to some electrodes such that an electric field is present in the dissociation region. With the electrode assembly employed previously,13 two different modes of operation are possible. The length of the field region is 1cm in the short-field mode, which was used in the study of bromobenzene and iodobenzene ions. In the case of the aniline molecular ion which dissociates more slowly, the long-field mode with a 4cm field length was used. The translational kinetic energy of a fragment ion after exiting the field region depends on the position of its formation. Hence, the time dependence of dissociation is reflected in the MIKE spectrum. The method to analyze the MIKE spectrum to obtain the PD rate constant or its distribution is well established.11,13 A rate constant in the range of 1 107–8 108 sÿ1 can be determined reliably with the present method. In the study of the aniline molecular ion, the unimolecular dissociation or metastable ion decomposition (MID) appeared together with the photodissociation. This is due to the metastable decay of the aniline ion generated by three-photon absorption in the source. This MID contamination was eliminated as follows. The PD laser pulse repetition rate was reduced to 25 Hz. The MIKE signals for two successive MPI pulses were recorded, one with and the other without the PD pulse. Then, the latter was subtracted from the former. RESULTS AND DISCUSSION In the MPI mass spectra of n-butylbenzene, bromobenzene, iodobenzene and aniline at 266 nm, several fragment ions appeared (Fig. 2). The ionization energies5,25 (IE) of all the investigated molecules, listed in Table 1, are smaller than 2hn1, where n1 is the frequency of the MPI laser. The fragment ions might be produced via both MPID and MPDI processes, as mentioned earlier. Appearance energies (AE) of most of the fragment ions from the molecules are higher than 2hn1. This means that absorption of more than two photons also occurred under the present MPI conditions. When the molecular ions generated by MPI are selected by the magnetic sector and dissociated by the absorption of PD photon(s), as is the case in the present experiment, complications due to MPDI can be eliminated. When a high intensity laser is used for photodissociation, the neutrals generated by PD may undergo MPI, resulting in Copyright # 1999 John Wiley & Sons, Ltd. INTERNAL ENERGY CONTENT IN TWO-PHOTON IONIZATION 1517 added to the ion internal energies, as described previously.5,9,13,14 n-Butylbenzene MIKE spectra of photodissociation products at 355 and 266 nm of the n-butylbenzene molecular ion generated by MPI, namely MPI-PD-MIKES, are shown in Fig. 3. The profile was resolved to m/z 91 and 92 components assuming a Gaussian profile for each, and the 91/92 ratio was determined using the areas of the resolved peaks. Based on the ion-optical calculations,26 the instrumental discrimination for these peaks were assumed to be the same. The ratios of 91:92 are 1.2 and 2.9 for the PD experiments at 355 and 266 nm, respectively. The internal energy of the molecular ion undergoing photodissociation was estimated from the energy dependence of the branching ratio obtained previously using PEPICO.5 The branching ratios of 1.2 and 2.9 correspond to molecular ion internal energies of 4.15 and 5.24 eV, respectively. Assuming that the molecular ion is generated by twophoton ionization at 0 K, the energy available as its internal energy is given by E0 avail 2h1 ÿ IE 1 Since the electron ejected in the ionization carries some kinetic energy, KEe, the internal energy of the molecular ion becomes E0 2h1 ÿ IE ÿ KEe Figure 2. MPI mass spectra at 266 nm of (a) n-butylbenzene, (b) bromobenzene, (c) iodobenzene and (d) aniline. another type of MPDI signal. This will be negligible compared with the PD signal itself, especially when the PD laser intensity is not excessively high. Then, the remaining problem with regards to the energetics and dynamics of the dissociation is the number of photons absorbed in the generation of molecular ions which arrive at the PD region 20–30 ms after their formation. One obvious technique to increase the relative abundance of the molecular ions formed by the absorption of two photons is to use a low MPI laser intensity. This technique was utilized in the present work only as a test that the change in the MPI laser intensity did not affect the kinetic data. According to the previous kinetic studies of n-butylbenzene,5,12,21 bromobenzene6,7,13,22,23 and iodobenzene8,14,24 molecular ions, those ions generated by the absorption of 2hn1 and excited by hn1 dissociate with rate constants of 108 sÿ1 or larger. Similar results were observed in this work also. Since these ions will dissociate rapidly in the ion source, it can be assumed that the molecular ion beam arriving at the PD region consists of ions generated by two-photon ionization only. For convenience of explanation, the thermal vibrational energies were Copyright # 1999 John Wiley & Sons, Ltd. 2 In this work 2hn1 is fixed at 9.32 eV. At room temperature, the internal energy would be higher than the above due to the thermal energy. The difference (Eth) may be approximated as the thermal energy of the corresponding neutral. Its average value can be estimated with the vibrational frequencies. The average thermal energies evaluated for nbutylbenzene and other molecules studied in this work are summarized in Table 1. Then, the internal energy content of the molecular ion after the absorption of hn2 becomes: E E0 h2 Eth 3 Once E* has been determined from the 91/92 branching ratio, E0 can be estimated with the knowledge of hn2 and Eth. Average values of E0 thus estimated are 0.46 and 0.38 eV for the PD experiments at 355 and 266 nm, respectively. The small difference reflects the error limit of the present experiment, which has been quoted as 0.1 eV.15 The internal energies estimated in various forms are summarized in Table 1. E0 of 0.42 eV, the average of the above two, is 64% of the available energy (E0avail, 0.66 eV). In the above analysis, we assumed that the internal energy of the molecular ion generated by MPI has two origins, one from the thermal energy of the neutral and the other from the ionization process, and that the two can be treated separately. To test this idea, we measured the 91/92 ratio in 355 nm photodissociation and estimated the corresponding internal energy (E*) at various MPI source temperatures, 25–200 °C. E* values thus obtained are plotted as a function of the average Eth in Fig. 4. E* increases with Eth with a slope of 1.08. The linear interpolation results in the intercept of 3.94 eV at 0 K. Subtracting hn2 from this intercept results in a E0 value of 0.45 eV, in agreement with that from the room temperature experiment. This supports Rapid Commun. Mass Spectrom. 13, 1515–1521 (1999) 1518 INTERNAL ENERGY CONTENT IN TWO-PHOTON IONIZATION Table 1. Energetics and measured branching ratios and rate constantsa Molecular ion n-Butylbenzene n-Butylbenzene Bromobenzene Iodobenzene Aniline PD- (nm) 91/92 ratio kc (sÿ1) E*b (eV) IEc (eV) E0availd (eV) Ethe (eV) E0f (eV) % E0g 355 266 266 355 266 1.2 0.1 2.9 0.1 — — — — — (3.1 0.3) 108 (1.8 0.3) 108 (4 2) 105 4.15 0.08 5.24 0.06 4.83 0.05 4.00 0.05 5.5 0.1 8.66 8.66 8.98 8.69 7.72 0.66 0.66 0.34 0.63 1.60 0.20 0.20 0.04 0.04 0.03 0.46 0.08 0.38 0.06 0.13 0.05 0.47 0.05 0.8 0.1 70 12 58 9 38 15 75 8 50 6 a See text for the definitions of the internal energies in various forms (Eqns (1–3)). Errors quoted were estimated from several duplicate measurements at the 95% confidence limit except those for aniline . See text for aniline . b Internal energies of molecular ions undergoing dissociation determined by the kinetic data. c Ionization energy in Ref. 3 for n-butylbenzene and Ref. 25 for others. d The energy available as the molecular ion internal energy in the two-photon ionization, 2hn1 ÿ IE. e Average (n-butylbenzene) and most probable (others) thermal internal energy calculated with vibrational frequencies in Refs 12–14, and 30 for n-butylbenzene, bromobenzene, iodobenzene and aniline, respectively. f Internal energies of molecular ions generated by two-photon ionization estimated with the kinetic data. g 0 0 E /E avail in %. our separate treatment of the thermal internal energy. Also of importance is the fact that the thermal internal energy participates actively in the dissociation process. Bromobenzene The MPI-PD-MIKE spectrum of bromobenzene was obtained with the 355 nm PD laser. Loss of bromine was the only dissociation channel. A time-resolved PD-MIKE spectrum is shown in Fig. 5(a). The spectrum was obtained under the condition that photodissociation occurred in the presence of the electric field of 2 kV/cm. The asymmetric Figure 3. MPI-PD-MIKE spectra of the n-butylbenzene molecular ion with PD at (a) 355 and (b) 266 nm. Dotted lines are the m/z 91 and 92 components resolved assuming a Gaussian profile for each. Rapid Commun. Mass Spectrom. 13, 1515–1521 (1999) profile indicates that the dissociation occurs on a nanosecond time scale. The method to determine the PD rate constant or its distribution by analyzing a time-resolved PDMIKE profile has been previously described in detail.11,13 The most probable rate constant (kc) determined from the time-resolved profile (Fig. 5(a)) is 3.2 108 sÿ1. The profile calculated from the best-fit rate constant distribution is also shown in the figure. Several duplicate experiments resulted in an average kc of 3.1 0.3 108 sÿ1. In the photodissociation at 266 nm, the MIKE profile appeared symmetric indicating that the rate constant was larger than 8 108 sÿ1, which is the upper limit that can be detected by the present technique. Rate-energy dependence for the Br loss of the bromobenzene ion was determined by several different techniques.6,7,13,22,23 All the experimental data obtained over the time range of nanoseconds to milliseconds could be fit to a single theoretical model calculation. The data were summarized in our previous report.13 Based on the data, the ion internal energy corresponding to the rate constant measured is 4.83 eV. E0 estimated with this value is 0.13 eV which is 38 % of the available energy (0.34 eV) in the twophoton ionization (2PI) process (see Table 1). Figure 4. Internal energy (E*) of the n-butylbenzene molecular ion photoexcited at 355 nm versus average thermal internal energy. Filled circles represent experimental data. The linear regression of the experimental data results in the solid line with the slope and intercept of 1.08 0.14 and 3.94 0.05, respectively. Copyright # 1999 John Wiley & Sons, Ltd. INTERNAL ENERGY CONTENT IN TWO-PHOTON IONIZATION Figure 5. Time-resolved MPI-PD-MIKE spectra of molecular ions of (a) bromobenzene with 266 nm PD laser and an electric field of 2kV/cm, (b) iodobenzene with 355 nm PD laser and an electric field of 2kV/cm and (c) aniline with 266 nm PD laser and an electric field of 0.5kV/cm. Experimental and calculated results are shown as filled circles and solid curves, respectively. Iodobenzene Dietz et al. reported that no ions were observed when a nanosecond laser, in the range 259–272 nm, irradiated an iodobenzene sample.27 This is due to dissociation in the S1 state which occurs with a lifetime less than 5ps, as reported by Wilkerson and Reilly.28 In this work, however, the molecular and fragment ions were observed as shown in the MPI mass spectrum. (Fig. 1(c)) The main difference between the previous27 and present MPI studies is in the MPI laser intensity. The fact that a very high MPI laser intensity can be used and that only those ions which are Copyright # 1999 John Wiley & Sons, Ltd. 1519 generated by the absorption of two MPI photons can be selected for photodissociation study, with the present technique, are particularly advantageous in this regard. Loss of iodine was the only dissociation channel found in the MPI-PD-MIKE spectrum at 355 nm. A time-resolved MPI-PD-MIKE spectrum profile obtained with an electric field of 2 kV/cm is shown in Fig. 5(b). The most probable rate constant determined by analyzing the profile is 1.8 108 sÿ1. The rate-energy dependence of this dissociation is also well established and was summarized in our previous report.14 The ion internal energy corresponding to the measured rate constant here can be read from the data, which is 4.00 eV. E0 estimated using Eqn. (3) is 0.47 eV which is 75% of the available energy (0.63 eV) in the 2PI process (see Table 1). To summarize the discussion made so far, the internal energies of the molecular ions generated by MPI and excited by a PD laser have been estimated from the experimental data. Thus the average internal energies (E0) deposited to the molecular ions in the ionization processes have been estimated assuming two-photon ionization (2PI) and onephoton dissociation (1PD). E0 values thus estimated were 38–75% of the available internal energies in 2PI. This result is in agreement with our assumption of 2PI and 1PD. An accurate knowledge of the internal energy distribution for molecular ions generated by MPI can be obtained by recording the photoelectron spectrum. MPI-photoelectron spectra have been reported for several substituted benzenes. The MPI-photoelectron spectra show a few common features.29,30 One is the ‘Dn = 0 propensity rule’ and another is that unless 000 S1 S0 transition is involved, the internal energy distribution continues up to the available energy. The present result that E0 values are around 50% of the available energies in 2PI is in general agreement with the conclusion from the MPI-photoelectron studies. In the multiphoton ionization dissociation study of 2,4-hexadiyne by Szaflarski and co-workers,31 it was reported that the internal energy of the molecular ion undergoing dissociation increased linearly with the photon energy. If the MPID mechanism is responsible for the reaction observed, the above result means that the internal energy content of the molecular ion generated by two-photon ionization remains the same regardless of the laser wavelength. The present result is not in general agreement with the above, even though the approaches taken in the two studies are different. It is to be pointed out that kinetic properties of the systems chosen in this work are better established than that of the 2,4-hexadiyne molecular ion. In our previous PD-MIKE studies of ion dissociation, efforts were made to obtain kinetic data with an internal energy accuracy of 0.1 eV. Taking 50% of the available energy in 2PI as the average ion internal energy is a decent estimate when the difference between the ionization energy and 2hn1 is not large as are the cases for the systems investigated above. As a check of the 50% rule, we also investigated the MPI-PD of aniline (IE = 7.72 eV25) for which the difference between IE and 2hn1 is large (1.60 eV). Aniline In the MPI-PD of aniline with the 266 nm PD laser, HNC loss was the only observed channel. A time-resolved PDMIKE spectrum obtained with the electric field of 0.5 kV/ cm is shown in Fig. 5(c) The spectrum consists of two components, an asymmetrically broadened peak and a sharp Rapid Commun. Mass Spectrom. 13, 1515–1521 (1999) 1520 INTERNAL ENERGY CONTENT IN TWO-PHOTON IONIZATION one. The broad and sharp peaks are the results of dissociations inside and outside the field region, respectively. The high abundance of the sharp component means that the dissociation occurred very slowly. Even though the reaction was a little too slow for its rate constant to be determined reliably with the present technique, an attempt was made to analyze the data. It was found that the timeresolved profile could be fit with a distribution of rate constant with the most probable value (kc) in the range of 2– 6 105 sÿ1. The PD-MIKE profile calculated with a rate constant distribution (kc = 4 105 sÿ1) is also shown in Fig. 5(c). The rate constant measurement for the same reaction using MPI at 266 nm was reported by Proch et al.19 Experimental data were analyzed assuming a single rate constant with 2 106 sÿ1 resulting in the best fit. Our data fits with the same rate constant. Considering that the available energy is very large in this case (1.60 eV), it is likely that the present approach of using a broad rate constant distribution is better than the use of a single rate constant. We do not claim high accuracy with the present results, however, as the rate is beyond the reliable range for the technique. The rate-energy dependence for the same reaction was obtained using PEPICO.9 The internal energy of the molecular ions undergoing photodissociation estimated by comparing the present and PEPICO data is 5.4– 5.6 eV. This results in an E0 value of 0.7–0.9 eV, which is 50% of the available energy (1.60 eV) in 2PI (see Table 1). The above estimate is likely to be an upper limit because the dissociation of aniline ions with much lower internal energy would not be detected at all by the present technique. It is gratifying, however, to note that the 50% rule applies for a system with a large available energy in MPI even though only approximately. The slow decay of the aniline molecular ion after the absorption of a 266 nm photon is useful to explain the observation of the metastable ion decomposition (MID) of the aniline molecular ions generated by MPI. If these ions are generated by the absorption of two 266 nm photons and excited by an additional 266 nm photon, the most probable rate constant for their dissociation would be around 4 105 sÿ1, as determined by MPI-PD. Then, observation of their dissociation after a time delay of around 20ms is not surprising at all. If the rate constant is larger than the above, say 2 106 sÿ1 as obtained by the single rate constant analysis, we would expect hardly any dissociation after the experimentally defined time delay. A simple kinetic analysis with the rate constant of 4 105 sÿ1 shows that only a fraction (0.03%) of molecular ions associated with three-photon absorption remains after a time delay of 20 ms. If these ions absorb one more 266 nm photon in the photodissociation step, fast dissociation is expected. The fact that such a fast dissociation component was not detected in the time-resolved PD-MIKE spectrum indicates that their contribution to MPI-PD is negligible, in agreement with the above kinetic analysis. CONCLUSIONS A technique based on MIKES has been devised to investigate the photodissociation kinetics of molecular ions generated by MPI on a nanosecond time scale. From the measurement of the branching ratio or rate constant for the photodissociation of the ionic systems with well-established kinetic information, the ion internal energies were estimated. The results show that only those molecular ions Rapid Commun. Mass Spectrom. 13, 1515–1521 (1999) generated by two-photon ionization in the source make important contributions to the photodissociation signals. Spatial (277 cm) and temporal ( 20 ms) separation between ionization and dissociation are responsible for the above observations, which is an important aspect of the present technique. The average internal energies of the molecular ions generated by two-photon ionization were around 50% of the available energies (2hn1 ÿ IE). This result is in agreement with the usual patterns of the reported MPI-photoelectron spectra. In addition, it has been demonstrated that the thermal internal energy of the molecule may be assumed to be conserved in the ionization process. Hence, adding thermal internal energy to half of the available energy provides a reasonable estimate for the internal energy of molecular ions generated by MPI. This estimate will be especially reliable for most of the substituted benzene ions since their ionization energies are usually close to 9.3 eV, which corresponds to the two-photon energy at 266 nm. 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