Measurement and ab initio calculation of the Ne photoabsorption spectrum in the region of the K edge M. Coreno, 1 L. Avaldi, 1 R. Camilloni, 1 K. C. Prince, 2 M. de Simone, 3 J. Karvonen, 4 R. Colle, 5 and S. Simonucci 6 1 IMAI del CNR, Area della Ricerca di Roma, 00016 Monterotondo, Italy 2 Sincrotrone Trieste, 34012 Trieste, Italy 3 Dipartimento di Fisica ‘‘E. Amaldi,’’ III Universita ` di Roma, Roma, Italy 4 Physics Department, University of Oulu, Oulu, Finland 5 Dipartimento di Chimica Applicata, Universita ` di Bologna, 40136 Bologna, Italy and Scuola Normale Superiore, 56100 Pisa, Italy 6 Dipartimento di Matematica e Fisica, Unita ` INFM, Universita ` di Camerino, Camerino (Mc), Italy Received 1 July 1998; revised manuscript received 18 September 1998 The Ne photoabsorption spectrum in the region of the K edge has been measured with unprecedented energy resolution. The results have been interpreted by using an ab initio method that predicts natural linewidths, as well as relative intensities and positions of the different 1 s np (3 n 6) transitions. The remarkable agreement between theory and experiment improves the spectroscopic characterization of these inner-shell excited states in an energy region where only electron-energy-loss spectroscopies were considered to provide accurate and high-resolution data. S1050-29479909002-2 PACS numbers: 32.70.-n, 32.80.Hd, 32.80.Dz In the last decade we have witnessed a tremendous im- provement in the energy resolution in the vacuum ultraviolet vuvand soft x-ray regions. This has been achieved by us- ing new types of monochromators 1,2at beam lines of synchrotron radiation sources, equipped with undulators and wigglers 3–5. Due to this improved energy resolution, that is comparable with or even better than the natural width of inner-shell excited states, the spectroscopic information ob- tained in photoabsorption experiments has significantly su- perseded the quality of the results of previous high- resolution electron-energy-loss studies 6. Such detailed studies are now questioning our knowledge of basic quanti- ties, such as, for example, the natural linewidths, and suggest that thorough investigations are needed, where high- resolution experiments and ab initio calculations of quanti- ties such as transition energies, natural linewidths, relative intensities, and line shapes are combined. Here we present a study in which the combination of high-resolution experi- mental data and theoretical values calculated ab initio pro- vide an accurate spectroscopic characterization of the region near the Ne K edge. While the energy region up to the nitrogen K edge has already been explored at very high resolution 7,8, no com- parable results have been previously reported near the Ne K edge. Moreover, due to the absence of theoretical predictions of the natural linewidths of the 1 s np ( n 3) transitions, reference was made to the measured 90.270.02eV and calculated 100.2410%natural linewidth of the Ne + (1 s -1 ) state in order to evaluate the resolving power of the different experimental setups. Some confusion on the topic has been generated moreover by the fact that, in the first report of a high-resolution x-ray photoelectron spectros- copy XPSspectrum 11, a value of 0.23 eV was incor- rectly quoted for this quantity and was later correctly given 9as 0.27 eV. Furthermore, the low available experimental resolution has caused a large spread in the measured line- widths 4,5,12–19of the 1 s 3 p transitions, anomalous for such a simple system and definitely larger than the Ne + (1 s -1 ) natural width. On the other hand, the calculated natural linewidth of the ionic state is a semiempirical value obtained by combining Scofield’s relativistic relaxed Hartree-Fock calculations of the radiative transition rates 20and fluorescence yield from the evaluation of Krause 21. In this paper we calculate ab initio natural linewidths, relative intensities, and energies of the 1snp (3 n 6) reso- nant states as well as those of the Ne + (1 s -1 )state using a method specifically developed for studying Auger and auto- ionization processes in atoms and molecules 22. The experiments were performed at the gas phase photo- emission beam line of the Elettra storage ring. The radiation from a 4.5-m undulator 2312.5-cm periodis deflected to the monochromator by a prefocusing mirror that focuses the beam at the entrance slit of the monochromator in the verti- cal plane and at the exit slit in the horizontal one. The optical concepts of the variable angle spherical grating monochro- mator 24as well as the calibration procedure 25have been described previously. The monochromator consists of two optical elements: a plane mirror and a spherical grating. This design provides the considerable advantage of a fixed focus in the experimental chamber. Five interchangeable gratings cover the energy region 20–1000 eV. In this experi- ment the fifth grating 1200 lines/mmhas been used. Ac- cording to the ray tracing and depending on the assumed spot size on the monochromator a resolving power of about 7500 is expected near the Ne K edge. A windowless ionization cell located at the end of the beam line has been used for the photoabsorption experiment. The gas cell is housed in a six-way stainless steel cross mounted on an x-y manipulator to enable easy alignment on the incident beam direction. Two plates 100 mm long and 20 mm wide are used to collect ions electrons, depending on the bias voltageproduced by the interaction of the incident radiation with the target gas. During the present experiment the cell was operated typically at a bias voltage of 30 V and at a pressure of 5 10 -2 mbar. A 2-mm bore and 5-mm-long pipe in front of the six-way cross acts as a first differential pumping section, resulting in a pressure drop of about a fac- PHYSICAL REVIEW A MARCH 1999 VOLUME 59, NUMBER 3 PRA 59 1050-2947/99/593/24944/$15.00 2494 ©1999 The American Physical Society