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Lawrence Berkeley National Laboratory Recent Work Title MOLECULAR PHOTOELECTRON SPECTROSCOPY AT 132.3 ev. METHANE, THE FLUORNATED METHANES AND HYDROGEN FLUORDE Permalink https://escholarship.org/uc/item/59g9b1k6 Authors Banna, M.S. Shirley, D.A. Publication Date 1975-01-01 escholarship.org Powered by the California Digital Library University of California

Submitted to Chemical Physics Letters LBL-3452 / Preprint ('.0 MOLECULAR PHOTOELECTRON SPECTROSCOPY AT 132.3 ev. METHANE, THE FLUORNATED METHA.NES AND HYDROGEN FLUORDE M. S. Banna and D. A. Shirley January 1975 Prepared for the U. S. Atomic Energy Commission under Contract W -7405-ENG -48 TWO-WEEK LOAN COPY This is a Library Circulating Copy which may be borrowed for two weeks. For a personal retention copy, call Tech. nfo. Division, Ext. 5545

DSCLAMER This document was prepared as an account of work sponsored by the United States Government. While this document is believed to contain correct information, neither the United States Government nor any agency thereof, nor the Regents of the University of California, nor any of their employees, makes any warranty, express or implied, or assumes any legal responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by its trade name, trademark, manufacturer, or otherwise, does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof, or the Regents of the University of California. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof or the Regents of the University of California.

LBL-3452 MOLECULAR PHOTOELECTRON SPECTROSCOPY AT 132.3 ev. METHANE, THE FLUORNATED METHANES AND HYDROGEN FLUORDE M. S. Banna and D. A. Shirley Department of Chemistry and Lawrence Berkeley Laboratory University of California Berkeley, California 94720 ABSTRACT: MOlecular photoemission spectra of the valence orbitals of HF, CH 4, CH 3 F, CH 2 F 2, CHF 3, and CF 4 were taken using the 132.3 ev Mr;; line of yttrium. Dramatic decreases of relative intensity were observed, in comparison to higher-energy photoemission spectra, for molecular orbitals with substantial atomic 2s character, thereby facilitating orbital assignments.

-1- W. C. Price et al. 1 ) have emphasized the importance of the variation with photon energy of photoernission cross section ratios as a diagnostic device for establishing the atomic orbital (AO) composition of molecular orbitals ~'s). They compared cross section ratios obtained by ultraviolet photoemission spectroscopy oups) with those from x-ray photoemission (XPS, or ESCA) for a number of molecules. t is also advantageous for a variety of reasons to vary the photon energy substantially (i.e., by an order of magnitude) within the context of an XPS experiment. To this end Wuilleurnier and Krause used the YMr. line 2 3 ) (132.3 ev), and a number of other x-ray sources, to study the photoionization of neon gas. 4 ) by their work we have constructed an yttrium source and utilized it to study the XPS-MJ spectra of HF, rn 4 and the fluorinated methanes. nspired These spectra are reported and contrasted with the MgKa 1 2 (1253.6 ev) spectra 5 ' reported earlier. ) elsewhere. Design and operation details of the YMr. line source will be given built by Krause: Briefly, the x-ray tube possesses the main features of the one a) an anode maintained at a positive potential and a filament near ground, and b) a window capable of transmitting YMr. x-rays. Forrnvar films of "' 20 ~grns/ crn 2 thickness were used because they formed a better seal than polystyrene (used by Krause) in our particular experimental arrangement. Krause reported a FWHM of 0.6 ev for Ne 2p. 3 ) We were unable to maintain rnaxinrum resolution in most cases, probably due to anode contamination. However, the CF 4 spectrum discussed below should illustrate the resolution capabilities of the new source. All gases were purchased commercially and studied in the Berkeley 6 ' -1 ron-free Spectrometer ) at pressures of ca. 10 tor.r. A right-angle

-2- geometry was used between the unpolarized x-ray beam and the analyzed electrons. No correction was made for the possible change in detector efficiency (Bendix Channeltron) with electron kinetic energy. However, such a correction must be small, as there was no noticeable drop in background counts with decreasing kinetic energy. Lorentzian lines were nonlinear-least-squares fitted to the experimental data. A pol.nt by point correction was made for the change in spectrometer transmission with electron kinetic energy. All area ratios reported below were computed after subtracting the contributions due to the x-ray satellites accompanying the main ~) exciting line. 3 ) The essential features of the cross section ratios studied here depend on a single physical factor. The photoemission transition probability is proportional to the square of a one-electron momentum matrix element, >- (1) -+ He~e ~i(j), Xf(j), and pj denote, respectively, the initial bound state, final continutun state, and momentum operator for electron j. The matrix element corresponds very roughly to a Fourier transform of ~i(j). tends, therefore, to be largest when the curvature of ~. (j) is such as 1 to yield large Fourier components at the debroglie wavelength of the outgoing electron continuum state X. t For second-row elements the inner radial nodes of the atomic 2s functions have curvatures that match the wavelength of valence electrons ejected by high-energy C~ 10 3 ev) photons, but not by those of low energies (~ 10 2 ev). (The wavelength of electrons

-3- with these two kinetic energies are 0.39 A and 1.2 A respectively.) On the other hand, 2p functions have no nodes and their size matches the low energy electrons better. Thus o(2s)/o(2p) would be expected to decrease dramatically from excitation by MgKa 12 to YM~; and as a result of such a change these XPS-MO spectra should reflect atomic orbital composition of each MD. nspection of Fig. 1, which compares the YM~ and M.gKa 12 spectra of CH 4 and HF, shows clearly that these expectations are fulfilled. The intensity ratio (2a 1 )/(lt 2 ) in CH 4 drops by a factor of"' 22 from Mg to Y energies, confirming the C2s character of the a 1 orbital and the C2p character of the t 2 orbital. Three Lorentzians were used to give a good overall fit of the experimental points corresponding to the lt 2 peak on the assumption that this state is fully Jahn-Teller split. This is consistent with the UPS spectrum. 10 ) However, the area ratios and separations of these peaks cannot both be uniquely determined. The changes in peak intensities in HF are equally dramatic, and the spectrum is cleaner. We need consider only the fluorine atomic orbitals. The l1r orbital is made up entirely of p functions, with no s admixture, by synunetry. Using the 11T peak as a reference, we note that the 2o peak intensity drops significantly in going from the magnesium to the yttrium spectrum. This confirms the s character of the 2o orbital. t sets a very low limit on the atomic 2po contribution. The 3a/11T intensity ratio also drops, indicating some 2sa character, but the decrease is much less dramatic, showing that this orbital is mainly 2po in nature.

-4- The major result of this research is the dramatic variation in photoelectric cross section ratios with photon energy, both in the above molecules and in the fluorinated methane, discussed below. These variations are in every case in good qualitative agreement with expectations based on previous molecular orbital symmetry assignments, and they confirm those assignments. A rigorous interpretation of the photoemission cross section ratios would require a sophisticated calculation that accounted for the properly orthogonalized final-state continuum function of the photoelectron. Rabalais, et al. 7 ) have made such a calculation for methane, finding that the 2a 1 /lt 2 intensity ratio decreases from 20:1 at MgKa energies to 1:7.5 at YM~ energies, in qualitative agreement with our values of 8:1 and 1:2.7, respectively. Unfortunately such calculations are not available for the other molecules studied here. n the discussion below the spectra are tentatively interpreted according to an approximate model given by Gelius. 8 ) According to this model, the photoelectric cross section at high photon energies for electrons in molecular orbital i atomic-orbital cross sections as follows: is related to the a. (K>) 1 P.. a. (AO) 1J J (2) Here P.. is the electron population in AO ~., for molecular orbital i. 1J J. We have used this relation, the waveftmctions of Snyder and Basch, 9 ) and experimental area ratio (2a 1 /lt 2 of CH 4 and 2a/l~ of HF) to calculate the atomic cross-section ratio a(c2p)/a(c2s) and a(f2p)/a(f2s) at yttritnn M~ energies. The 3a 1 and 4a 1 levels of CH 3 F were used to compute

-5- a(f2s)yfa(c2s)y The results are shown in Table. Three types of electronic populations were employed: gross, net, and overlap (gross minus net). The photoelectric cross section of hydrogen ls was taken as zero throughout these calculations. This is reasonable since the calculated differential photoelectric cross section of the hydrogen ls orbital... 7 is an order of magnitude smaller than that of the M)'s of rn 4. ) Furthennore, we have tried unsuccessfully to detect the YM~ photoemission spectrum of H 2. With the three ratios in Table we were able to use the wavefunction of Snyder and Basch 9 ) to make a very rough analysis of the relative intensities of the fluoromethane levels. The results are compared with experiment in Table. n the same Table we also list the binding energies of the MD's in each molecule. The binding energies obtained in earlier work using MgKa x-rays are also listed for comparison. Energy differences are known more accurately than are absolute energies. We have therefore used one orbital as a reference in each molecule and normalized to that orbital. The agreement between peak energy spacings in the MgKa and YM~ spectra is excellent. For methane, Eq. (2) has no predictive value in our analysis, because the 2a 1 /lt 2 intensity ratio was used to deduce o(c2p)/o(c2s). The same is true for the 2o/l1r intensity ratio in HF. The 3a intensity is predicted quite well, however, especially if gross populations are used. Fig. 2. The MgKa and YMr. XPS-MO spectra of rn 3 F and CH 2 F 2 are shown in n fitting the YMr. 3a 1 peak of CH 3 F we have deliberately excluded the structure to the right of the peak. This is probably due to satellite peaks from the outer levels and therefore should not be added to the area

-6- of 3a For CH F, the interference of this structure with the 3a 1 2 2 1 and 2b 1 levels was so bad that these two peaks had to be deconvoluted by hand, yielding only rough estimates of their intensities. The experimentally derived intensity ratios of CH 3 F agree reasonably well with predictions based on either gross or net populations. The large decrease in the 3a 1 peak's relative intensity and a similar but somewhat less pronounced effect in the 4a 1 peak, in going from the MgKa to the YM~ spectrum, is characteristic of the F2s and C2s atomic orbitals, respectively. Although particularly clear in CH 3 F, it is ~lso apparent in the other fluorine derivatives. very The improved energy resolution in the YM~ spectrum makes it even clearer than before 5 ) that the peak at lowest binding energy arises from a single final state (the 2e orbital) while the next peak has two components (the Sa 1 and le orbitals). On fitting this compound peak with two components we found good agreement between the le - Sa spacings as derived 1 from the MgKa and the YM~ spectra (0. 7 ev in both cases). The lower binding-energy component was more intense in each spectrum, and the le peak was predicted to be more intense in each case. Thus on the basis of intensities the lower-energy component of the second peak appears to belong to the le state. n CH 2 F 2 the 3a 1 and 2b 1 (fluorine 2s) states yield a low broad peak as expected. The 4a 1 (carbon 2s) state is also identified by its loss of relative intensity in the YM~ spectrum. The 19-eV peak gains in intensity relative to these three, but loses relative to those at 13 and 15 ev. This is strong evidence for mixed 2s and Zp character, thus strongly supporting the previous assignment of the lb, Sa, and 3b states 2 1 1

-7- to this peak. The YM~ data yield no new information on the order of these three states without the peak: in fact the MgKa spectrum was better in this respect, because only two component peaks were required to fit this peak in the YM~ spectnm1. (The complete deconvolution of the.mgka spectnm1 of CH 2 F 2 is shown in Fig. 3 of reference 5.) / The high relative intensities of the 13- and 15-eV peaks in the YM~ spectrum confirm their 2p character, in agreement with the previous assigrunents. 5 ) The 2b 2 peak at 13 ev is well resolved. The 15-eV peak has a slightly rounded but symmetrical appearance, indicating that the la, 4b, and 6a states lie close in energy. 2 1 1 The CHF 3 and CF 4 spectra are shown in Fig. 3. Their general appearance is similar to that of CH 2 F 2 : tightly-bound compound F(2s) peaks near 40 ev, the 4a 1 (C2s) peak near 25 ev, and two more peaks, of which the one near 22 ev has strongly mixed 2s and 2p character. The CF 4 spectrum has been thoroughly discussed before, and we note only that the YM~ spectrum (see inset) shows a resolution of'the le, 4t 2, and lt 1 peaks that rivals the results obtained by Siegbahn et a1. 11 ) with monochromatic AlKa x-rays. The CHF 3 spectrum illustrates the power of using YM~ radiation. The peak at 21 ev is asymmetric toward high binding energy. Since the 3e component peak is predicted to have at least twice the intensity of the Sa 1 peak, the former appears to have the lower binding energy. The spectral area between 14 and 18 ev requires at least four peaks for a fit: its detailed shape further requires that the peak intensities increase monotonically with binding energy, with the exception that the two most tightly bound peaks can have similar intensities. The fit shown in Fig. 3 was based ori the known UPS (vertical) energy separations 10 ) among the three least tightly bound components. The derived intensities agree

-8- fairly well with predicted values, confirming the listed level ordering. n summary, the spectra presented here confirm the anticipated changes in relative intensities that were expected to accompany this large reduction in photon energy. ntensity ratio predictions based on the simple atomic orbital population model show generally good qualitative agreement with experiment. These results give no basis for choice among gross or net populations. The YMs line appears to possess real diagnostic value for molecular photoelectron spectroscopy. ACKNOWLEDG1ENTS The authors are indebted to J. W. Rabalais for communicating the results of his calculations and to C. W. Bauschlicher, Jr. and to B. E. Mills for help in the computer aspects of this work. This work is performed under the auspices of the U. S. Atomic Energy Conunission.

-9- REFERENCES 1 ) w. C. Price, A. w. Potts, and D. G. Streets,in Electron Spectroscopy, D. A. Shirley, ed., (North-Holland, Amsterdam, 1972) 187. 2 ) M. 0. Krause and F. Wuilleumier, Phys. Letters 3SA (1971) 341. 3 ) M. 0. Krause, Chern. Phys. Letters 10 (1971) 65. 4 ) F. Wuilleumier and M. 0. Krause, Phys. Rev. A 10 (1.9 7 4) 24 2. 5 ) M. S. Banna, B. E. Mills, D. W. Davis, and D. A. Shirley, J. Chern. Phys., 61 (1974) 4 780. 6 ) C. S. Padley, S. B. M. Hagstrom, M. P. Klein, and D. A. Shirley, J. Chern. Phys. 48 (1968) 3779. 7 ) J. W. Rabalais, P. Debies, J. L. Berkosky, J. J. Huang, and F. 0. Ellison, J. Chern. Phys. 61 (1974) 516. 8 ) U. Gelius in Electron Spectroscopy, D. A. Shirley, ed., (North Holland, Amsterdam, 1972) 311. 9 ) L. C. Snyder and H. Basch, MOlecular Wave Functions and Properties, (John Wiley & Sons, New York, 1972). 10 ) C. R. Brundle, M. B. Robin and H. Basch, J. Chern. Phys. 53 (1970) 2196. K. Siegbahn in Atomic Physics 3, Proceedings of the Third nternational Conference on Atomic Physics (Boulder, Colorado, 1972), edited by S. J. Smith and G. K. Walters, 493.

-10- TABLE. Derived relative atomic photoelectric cross sections at 132.3 ev photon energy. 'Ratio, R R (gross)a R (net)a a R (overlap) a(c2p)/a(c2s)b 1.16 1.13 1. 20 a(f2p)/a(f2s)c 1.38 1.22 1.82 a(f2s)/a(c2s)d 3.82 3.67 6.81 apopulations were calculated from the wavefunctions of ref. 9. b, From relative areas of 2a 1 and lt 2 levels of methane. cfrom relative areas of 2a and 1~ levels of hydrogen fluoride. ~rom relative areas of 3a 1 and 4a 1 levels of methyl fluoride.

-11- Table. Relative molecular orbital binding energies and intensity ratios for HF, rn 4 and the fluorinated methanes. b c c lecule M) ~(MgKa)a ~(YMr;) a (MgKa) (YMr;) exp exp G(YMr;) N(YMr;) HF -+ 2o 39.65(2) 39. 65(4) i 1. 1. 1. 1. 3o 19.89 (7) 20.14(5).19 (3) 1.18(4) 1.16 1.08 l'lr 16.12(4) 16.47 (4) 24(2) 2.93(2) 2.94 2.94 rnd -+ 2a 1 23.05(2) 23.05(3)i 1. 1. 1. 1. 4 lt 2 14.2 (2) 14. 5 (1).12 (2) 2.69(8) 2.69 2.69 Q-3F 3a 1 38.41(3) 38.4le. 1. 1. 1. 1. -+ 4a 1 23.48(3) 23.48(6) 1 23 (1).4 (1).40 39 sa 1 17.56(9) 17.55 (8) 08 (2) 9 (1) 1.00 1.00 1e 16.85(7) 16.88(8).11 (2) 1. 2 (1) 1.93 1. 78 2e 13.31 (4) 13.35(6).13(1) 1.52(4) 1.30 1.56 rnzfz 3a 40.13 (7) 40.13e 1 3.18 (5) "'1.3 1.55 1.50 2b 38.20(7) e 3.57(6) "'1.5 1.63 1 38.20. 1.72 -+ 4a 1 23.86(3) 23. 86(3) 1 1. 1. 1. 1. lb 2 19. 76(7).14 (1) g -- 1.41 1.25 Sa 19.07 (3) 1 19. 31(3) 28 (1) 1.13(4) 1. 73 1.61 3bl 18.51(4) 18. 71(3) 28 (1) 1. 81 (4) 1.93 1.91 la 2 15.61 (2) 15.60(5) 32 (1) 2.5 (1) 2.33 2.47 4bl 15. 20(2) 15.19(5) 32 (1) 1. 3 (2) 2.29 2.55 6a 1 14.91(2) 14. 90(5) 25 (1) 1.1 (2) 1. 74 1.98 zb 13.17(2) 2 13.16(4).18 (1~ 1. 02 (6) 1.12 1.45 Q-F3 3a 42. 03(9) 42.03e 1 1. 1. 1. 1. 2e 39.15(4) 39.15 e. 2.38(2) 2.17 (7) 2.12 2.41 -+ 4a 24.38 (3) 1 24.38(3) 1.43(1) 52 (9).89.97 sa 20.89 (3) 20.89(3).14 (1) 78 (7) 1.02 1 r r 1.00 3e 20.25(3) 20.39(3) 21 (1) 1.41 (7) 2.52 2.66 4e 17.03(4) 17.08 (3) 2. 35 (8) 3.02 3.42 Se 15.99(4) 16.00(4).21 2. 3 (1) 2.98 3.59 1a 15. 29(4) 15.30(4) 2.12 1. 8 (1) 1. 53 1.89 6a 14.67(4) 1 14.60(4).071.6 (2).92 1. 28 CF 4 3a 1 43.81(10) 43.81: 1. 1. 1. 1. zt 2 40.30(4) 40.30. 3.45(3) 2.06(7) 3.16 3.73 -+ 4a 1 25.11(2) 25.11 (2) 1 55 (1).61(6) 1.14 1. 30 3t 2 22.14 (2) 22.21(3).59(1) 2.46 (6) 3.69 4.09 lc 18.43(4) 18.55 (3) 28 (1) 2.09(7) 3.07 3.53 4t2 17.41(4) 17.48(3) 38(1) 3.32(7) 4.42 5.49 ltl 16.23(3) 16.28(3).41 (1) 3.66(6) 4.61 5.96 continued

-12- Table (continued) ~B is M) binding energy in electron volts. EB (MgKa) were obtained from reference 5. bfrom reference 5. cig(ym~) is the calculated relative intensity using the atomic cross section ratios in Table and gross populations, Nusing net populations. daika x-rays were used instead of MgKa. eseparation from 4a 1 level obtained from MgKa results of reference 5. Separations from reference 5. garea ratios calculated from the Gelius model using CNDO populations. hseparations obtained from the UPS results of reference 10. ireference value obtained from the XPS results of reference 5. Arrows indicate reference level.

-13- FGURE CAPTONS Fig. 1. High-energy photoemission spectra (top) and YMs spectra (bottom). of CH 4 and HF valence orbitals. Counts were obtained at ~ 0.3 ev (with MgKa) and ~ 0.2 ev (with YM~) kinetic energy increments. Fig. 2. MgKa (1253.6 ev) and YMt (132.3 ev) photoemission spectra of CHF 3 and CF 4 valence orbitals. Counts were obtained at ~ 0.3 ev (with MgKa) and ~ 0.2 ev (with YM~) kinetic energy increments. Fig. 3. MgKa (1253.6 ev) and YMt (132.3 ev) photoemission spectra of CHF 3 arid CF 4 valence orbitals. nset shows the outer three MO's of CF 4 measured at high resolution. Counts were obtained at ~ 0.3 ev (with MgKa) and~ 0.2 ev (with YM~) kinetic energy increments.

-14- CH 4 (AKa) 2cr HF( MgKa) 3 1/) -c J 0 u 4 1.,- 2... 0 1/) '"0 c 0 1/) J 0..c. ~ ( Y M C) (Y M C) 0 3 Binding energy (ev) XBL7411-8328 Fig. 1

/) -c 31-1 3o1 CH 3 F(MgKa) 2b1 C H 2 F 2 (MgKa),, 3atl 1 e ~ 1b 4o 1 2 5o 1 3b1 5 01 4o - 1 1 12b2 1 \ ~ ~ A //A~ A A A 0 1o 2 4b 1 6o 1-1 5 ::::> ~2 0 u!ff - 0 ~ _T ~~\a ~ ~~lo { :: ( \YM~) /) "0 11 c..... u lt 0 /) 5 4L..c - (Y M~) til ~5.J.. ' r ' ~~ 111+' ' 1.11 ~ 3 40 30 20 10 40 30 20 10 0 Binding energy (ev) XBL7411-8329 Fig. 2

50 50 40 30 20 10 1/) -c: :::J 0 u 2e - 3o ' C H F 3 ( Mg Ka) 5e 3e 1 4o 1 1o 2 l5a~ 4 fl6at 1h J)j 1 2t2 CF 4 ( Mg Ka) 1 t 3t 2 1 4t2 41'.'il 4 3 2-0 1/) "'0 c: 0 1/) :::J 0.L:. r-. + ( y M~) :: ~y M C) 8 6 4... 0' 2 40 30 20 10 0 50 40 30 20 10 Binding energy (ev) XBL7411-8327 Fig. 3

P------------------LEGALNOTCE--------------------~ This report was prepared as an account of work sponsored by the United States Government. Neither the United States nor the United States Atomic Energy Commission, nor any of their employees, nor any of. their contractors, subcontractors, or their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness or usefulness of any information, apparatus, product or process disclosed, or represents that its use would not infringe privately owned rights.

TECHNCAL NFORMATON DVSON LAWRENCE BERKELEY LABORATORY UNVERSTY OF CALFORNA BERKELEY, CALFORNA 94720