Inner-shell excitation of alkali-metal atoms
|
|
- Stephen Osborne
- 5 years ago
- Views:
Transcription
1 Pram~na - J. Phys., Vol. 35, No. 1, July 1990, pp Printed in India. Inner-shell excitation of alkali-metal atoms S N TIWARY* International Centre for Theoretical Physics, Miramare, Trieste, Italy * Permanent address: Department of Physics, L. S. College, Bihar University, Muzaffarpur , India MS received 23 January 1990 Abstract. Inner-shell excitation of alkali-metal atoms, which leads to auto-ionization, is investigated. Comparison is made with other available data. Basic difficulties in making accurate calculations for inner-shell excitation process are discussed. Suggestions are made for further study of inner-shell process in atoms and ions. Keywords, R-matrix; auto-ionization. PACS No Studies of the electron impact excitation of the inner-shell of alkali-metal atoms and alkali-like ions have been of growing interest for both theorists and experimentalists. One of the primary reasons for this interest stems from the fact that inner-shell excitation may lead to auto-ionization which plays a very important role in explaining the structure observed in the total ionization cross section curve. In recent years, a number of theoretical calculations (Tiwary 1976, 1981, 1982, 1983a-g, 1985, 1986, 1989, 1990; Tiwary et al 1983a, b, 1985, 1988; Tiwary and Rai 1973, 1975, 1976; Tiwary and Nicolaides 1983; Faisal and Tiwary I980; Hibbert et al 1982; Kingston et al 1987; Srivastava and Rai 1977; Berrington et al 1978; Peterkop 1977) and experimental observations (Nygaard (1975) and Pejcev and Ross (1977)) have been made but there are striking discrepancies between the prediction of various theoretical methods in both qualitative as well as quantitative behaviour. Consequently, the existing theoretical situations are of special interest from both scattering and structure point of view in order to resolve the discrepancies. Over the past decade, several quantum-mechanical approximations, e.g. plane wave Born approximation (PWBA), modified plane wave Born approximation (MPWBA), Vainshtein approximation (VPSA), Glauber approximation (GA), Coulomb Born approximation (CBA), asymptotic Green function approximation (AGFA), distortedwave Born approximation (DWBA), quantum defect theory (QDT), Fano method, diagonalization method, close-coupling (CC); hyperspherical coordinate method, complex-rotation method, R-matrix method etc., have been employed to study the inner-shell process in atoms and ions. Nygaard (1975) and Pejcev and Ross (1977) have measured the total ionization cross sections for the alkali-metal atoms by electron impact and have observed the structure in the results. This structure has been attributed to the excitation of the inner-shell electron which leads to auto-ionization. We have investigated extensively the inner-shell process in alkali-metal atoms and 89
2 90 S N Tiwary Li ~,.I DWB lsa 2s2 S~"~'ts 2sa zs T O %{ with exchange) N'-o o 30- c o CBA. - "ow8...,. {without exchonge)... 8 \ u~ 10 - PWBA R- Matrix I Electron impact energy {ev) Figare I. Electron impact excitation cross section for the I s2s z auto-ionizing level in lithium atomic system. alkali-like ions from both scattering and structure points of view. For the case of the simplest alkali-metal atom i.e. lithium (Li), the following scattering reaction has been studied e- + Li(ls22s)~e - + Li(ls2sZ). (1) Figure 1 displays the present R-matrix results obtained using single-configuration Hartree-Fock were function from Clementi and Roetti (1974) along with other available results. It is clear from the figure that DWB with exchange and R-matrix methods agree with each other qualitatively but differ significantly in nature from PWBA and DWB without exchange and similar other approximations (not shown in the figure). DWB with exchange and R-matrix cross sections are still rising in the close vicinity of the threshold and decrease monotonically at high impact energies, whereas the PWBA and DWB without exchange and similar other approximations show a broad and flat maximum away from threshold. Unfortunately, no direct experimental evidence is available for inner-shell excitation which leads to autoionization in the alkali-metal atoms by electron impact but from the results of Nygaard, Pejcev and Ross, it is clear that the rise is abrupt in the cross section. Figure 2 shows the angular distribution of electrons in the case of lithium in the DWB with exchange at different impact energies. At 70 ev, the differential cross section decreases with the increasing scattering angle and reaches a minimum value at about 60 and then rises in the backward scattering region. It is interesting to note that the cross section in the backward direction is considerably larger than the forward direction. At 80eV, the cross section is almost the same in the forward and backward directions. At high energies, the forward scattering dominates over the backward which is the usual behaviour. From this pattern of angular distribution as well as the abrupt rise in the integrated cross section obtained in the distorted-wave Born approximation with exchange and the R-matrix method, it is well established that
3 Inner-shell excitation of alkali-metal atoms 91 '0 X I t. U') NO O C O,4- " I\ Li Z 1 s22s 2 S ---~+s 2s" 2S 1 DWB 7(~ t'\i / t. U C (ev) ~ 121 o I I I I Scattering angle (de<j) Figure 2. Angular distribution of inelastically scattered electrons at incident energies 70, 80, 100 and 120eV. 7 - x % 5 - C.o O.4-- o 1 I I I EleCtron impact energy tev) Figure 3. Total electron impact excitation cross section for the lowest-lying auto-ionizing level in sodium. Curve A, R-matrix results; Curve B, first Born approximation results; Curve C, Glauber approximation results. the exchange is significantly important for the resonance type character in the cross section. It also reflects that inclusion of exchange is essential. Figures 3 and 4 exhibit the low-energy electron impact integrated cross sections of the lowest-lying auto-ionizing levels generated due to the inner-shell excitation 1 s 2 2s 2 2p 6 3s -~ 1 s 2 2s 2 2p ~ 3s 2 and 1 s 2 2S 2 2p 6 3S 23p ~ 1 s 2 2s 2 2p ~ 3s2 3p5 4s 2 complex transition in sodium and potassium respectively, obtained using single configuration
4 92 S N Tiwary N lo -- 5 X ~0 o 83,q I I I I 20 O0 IO0 Electron impact energy (ev) Figure 4. Integrated cross section for the excitation of the auto-ionizing level in potassium. Curve A, R-matrix results; Curve B, first Born approximation results; Curve C, Glauber approximation results. Hartree-Fock wave functions for both initial and final states within the R-matrix. The present R-matrix results are compared with other available PWBA and GA results which have been also obtained using Hartree-Fock functions. The general features of these results are similar to those of lithium. From the above considerations, we conclude that PWBA, GA, VPSA and similar approximations are not useful for inner-shell processes in atoms. Only the DWB with exchange, R-matrix or similar approximations are reliable for such study. It is interesting to note that DWB without exchange supports the PWBA behaviour, whereas with exchange it follows the R-matrix predictions. It indicates that the exchange plays an extremely important role for the inner-sheu process in atoms. We propose a new mechanism for the exchange operation as follows: e- + ls22s~ ls22s2 ~ ls2s 2 +e-. (2) The incident electron penetrates the lithium electron charge cloud configuration ls 22s and the R-matrix sees the scattering system ls22s 2 within the boundary and finally the one core electron is ejected. In recent years, we have performed extensive calculations for the theoretical excitation energies and optical oscillator strengths of elements for the inner-shell excitation transitions in the potassium iso-electronic sequence using the Hartree-Fock (HF) and configuration interaction (CI) wave functions. Our investigation shows that the Hartree-Fock length and velocity (fl and f~ respectively) forms of the oscillator strengths may differ by a factor of two and the effect of correlation decreases with the increasing atomic number (Z). The CI fl and f~ are in satisfactory agreement in all systems (see table 1). A large number of the configurations with all sorts of correlations e.g. external correlations, semi-internal and internal correlations may be included. The general form of our configuration interaction wave functions is as follows: M ~P(LS) = ~ aidpi(~ils) (3) i=1 where all quantities are defined elsewhere (see our Tiwary et al 1983).
5 Inner-shell excitation of alkali-metal atoms 93 Table 1. Comparison of excitation energies (AE in atomic unit) and optical oscillator strengths of length (f~) and velocity (f~) forms for transitions 3p63d 2D--*3p53d2 2pO, 2Do ' 2FO obtained using Hartree-Foek (HF) and configuration-interaction (C1) wave function. Sc 2 + Ti3 + V 4 + Wave Transition function AE fl f~ AE fl f~ AE fl f~ 2D~2p HF " "855 1" CI 1" " " D-'}2D HF "31 1' " CI '16 1, I' D-'}2F HF 1"455 1"80 1"14 1"695 1"69 1"06 1"917 1"56 0"98 CI These results demonstrate that the inclusion of correlations is indispensable to obtain reliable results. They also indicate that if HF wave functions are used for the calculations of cross sections the result may be off by as much as a factor of two. There are numerous practical difficulties associated with accurate scattering as well as structure calculations for the inner-shell excitation process in many electron atoms or ions. For the scattering calculation reliable wave functions are needed for both the initial and final target states. HF wave functions are not adequate for heavy atoms or ions because of complexity, for multi-dectron atoms, or ions, a huge number of configurations are required which make the computational problem cumbersome and calculations become very expensive and in many cases not feasible. For example, Tiwary et al (1983b) have found that a single configuration yielded 68 states which are very close to each other and interact strongly. We have to solve 68 coupled second order integro-differential equations. Another challenging situation is how to handle double continuum electrons which interact via the Coulomb operator 1/r12 which play an important role in the threshold behaviour. This situation occurs in the excitation of the inner-shell followed by auto-ionization. Experimental study of such process is very limited since the third generation (e, 2e) coincidence experiment must be used. Finally, we would like to make some constructive and fruitful suggestions for obtaining reliable results for auto-ionization. 1. PWBA, GA, VPSA and similar approximations are not appropriate where DWB with exchange, R-matrix and similar methods can yield reliable results. 2. Hartree-Fock description for the atomic states involved in the transitions is not adequate especially for complex systems. Configuration interaction wave functions, which include all types of correlations, are suitable for accurate calculations. Correlations must be included same amount in both states otherwise imbalance of correlations can destroy the results. Our experience also suggests that the inclusion of the pseudo-orbitals in the basis set is essential for obtaining reliable results. 3. Interactions between the auto-ionizing state and the associated continuum, radiative and non-radiative processes between the scattered and the ejected electrons should also be incorporated in elaborate calculations.
6 94 S N Tiwary Acknowledgements The author would like to thank Professor Abdus Salam, the International Atomic Energy Agency and UNESCO for hospitality at the International Centre for Theoretical Physics, Trieste. He would also like to thank Professors J Macek, D H Madison, B Crasemann, G Dujardin, H Le Rouzo, L Hellner and M Gaillard for their encouragement and fruitful suggestions. He is also grateful to referees for valuable suggestions and finally to Bihar University, India, for leave. References Berrington K A, Burke P G, Dourneuf M Le, Robb W D, Taylor K T and Ky Lan Vo 1978 Comput. Phys. Commun Clementi E and Roetti C 1974 At. Data Nucl. Data Table Faisal F H M and Tiwary S N 1980 I/erh. Dtsh Ges Hibbert A, Kingston A E and Tiwary S N 1982 J. Phys. BI5 L643 Kingston A E, Hibbert A and Tiwary S N 1987 J. Phys Nygaard K J 1975 Phys. Rev. All 1475 Pejcev V and Ross K J 1977 J. Phys. BI0 L291 Peterkop R 1977 Theory of ionization of atoms by electron impact (Trans.) Ed. D G Hummer (JILA, Colorado Associated University Press) Srivastava R and Rai D K 1977 J. Phys. BI0 269 Tiwary S N 1976 Studies of excitation, auto-ionization and ionization of atoms Ph.D. Thesis, Banaras Hindu University Tiwary S N 1981 J. Phys. BI Tiwary S N 1982 Chem. Phys. Lett Tiwary S N 1983a Chem. Phys. Lett Tiwary S N 1983b J. Phys. BI6 L459 Tiwary S N '1983c Phys. Reo. A Tiwary S N 1983d d. Phys. B16 L247 Tiwary S N 1983 Chem. Phys. Lett Tiwary S N 1983f Astrophys. J Tiwary S N 1983g Astrophys. J Tiwary S N 1985 Phys. Rev. A Tiwary S N 1986 National workshop, Banaras Hindu University Tiwary S N 1989 Structure and scattering calculations of atoms and ions, Ph.D. thesis, Bihar University Tiwary S N 1990 Can. J. Phys. (to be published) Tiwary S N, Burke P G and Kingston A E 1983a XIII ICPEAC, Berlin, West Germany, p. 20 Tiwary S N, Kingston A E and Hibbert A 1983b J. Phys. BI Tiwary S N, Macgk J and Madison D H 1985 Phys. Rev. A Tiwary S N and Nicolaides C A 1983 Che~ Phys. Lett Tiwary S N and Rai D K 1973 Phys. Lett. A Tiwary S N and Rai D K 1975 J. Phys.!! Tiwary S N and Rai D K 1976 J. Phys.! Tiwary S N, Singh A P, Singh D D and Sharma R J 1988 Can. J. Phys
Photoionization of excited states of neon-like Mg III
PRAMANA cfl Indian Academy of Sciences Vol. 58, No. 4 journal of April 2002 physics pp. 639 646 Photoionization of excited states of neon-like Mg III NARENDRA SINGH and MAN MOHAN Department of Physics
More informationIonization Potentials and Quantum Defects of 1s 2 np 2 P Rydberg States of Lithium Atom
Commun. Theor. Phys. (Beijing, China) 50 (2008) pp. 733 737 c Chinese Physical Society Vol. 50, No. 3, September 15, 2008 Ionization Potentials and Quantum Defects of 1s 2 np 2 P Rydberg States of Lithium
More informationABSTRACT Electron collision excitation strengths of inelastic transitions among the 52 Ðne-structure levels of the
THE ASTROPHYSICAL JOURNAL, 530:1091È1104, 2000 February 20 ( 2000. The American Astronomical Society. All rights reserved. Printed in U.S.A. ELECTRON COLLISION EXCITATION OF FINE-STRUCTURE LEVELS IN S
More informationElectron impact single ionization of copper
PRAMANA cfl Indian Academy of Sciences Vol. 55, No. 3 journal of September 2000 physics pp. 447 453 Electron impact single ionization of copper LKJHA Λ,OPROY y and B N ROY z Λ Department of Physics, L.N.T.
More informationCoulomb phase interferences for small-angle inelastic scattering from ions
J. Phys. B: At. Mol. Opt. Phys. 21 (1988) L25-L30. Printed in the UK LETTER TO THE EDITOR Coulomb phase interferences for small-angle inelastic scattering from ions Jim Mitroy Joint Institute for Laboratory
More informationT-matrix calculations for the electron-impact ionization of hydrogen in the Temkin-Poet model
T-matrix calculations for the electron-impact ionization of hydrogen in the Temkin-Poet model M. S. Pindzola, D. Mitnik, and F. Robicheaux Department of Physics, Auburn University, Auburn, Alabama 36849
More informationAtomic data from the IRON project ABSTRACT
A&A 446, 361 366 (26) DOI: 1.151/4-6361:253631 c ESO 26 Astronomy & Astrophysics Atomic data from the IRON project LX. Electron-impact excitation of n = 3, 4 levels of Fe 17+ M. C. Witthoeft 1,N.R.Badnell
More informationProperties of doubly-excited states of Li- and Be: The study of electron correlations in hyperspherical coordinates
J. Phys. B: At. Mol. Phys. 16 (1983) 723-736. Printed in Great Britain Properties of doubly-excited states of Li- and Be: The study of electron correlations in hyperspherical coordinates C D Lin Department
More informationThe validity of classical trajectory and perturbative quantal methods for electron-impact ionization from excited states in H-like ions
INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS B: ATOMIC, MOLECULAR AND OPTICAL PHYSICS J. Phys. B: At. Mol. Opt. Phys. 38 (25) L199 L26 doi:1.188/953-475/38/12/l1 LETTER TO THE EDITOR The validity
More informationAtomic Data for Astrophysics. II. New Analytic Fits for Photoionization Cross Sections of Atoms and Ions
Atomic Data for Astrophysics. II. New Analytic Fits for Photoionization Cross Sections of Atoms and Ions D. A. Verner 1, G. J. Ferland, and K. T. Korista Department of Physics and Astronomy, University
More informationTime-dependent close-coupling calculations for the electron-impact ionization of carbon and neon
Time-dependent close-coupling calculations for the electron-impact ionization of carbon and neon M. S. Pindzola, J. Colgan, and F. Robicheaux Department of Physics, Auburn University, Auburn, Alabama 36849
More informationPhotoionization of Fe
J. Phys. B: At Mol. Opt. Phys. 26 (1993) LlLL6. Printed in the UK LETIXR TO THE EDITOR Photoionization of Fe Maryvonne Le Doumeuf?, Sultana N NaharS and Ani1 K F radhans t Laboratoire de ThCorie des Processus
More informationEffective collision strengths for fine-structure transitions for the electron impact excitation of N II. C. E. Hudson and K. L.
A&A 43, 725 729 (25) DOI: 1.151/4-6361:241969 c ESO 25 Astronomy & Astrophysics Effective collision strengths for fine-structure transitions for the electron impact excitation of N II C. E. Hudson and
More informationScattering theory II: continuation
TALENT: theory for exploring nuclear reaction experiments Scattering theory II: continuation Filomena Nunes Michigan State University 1 What we learnt? Scattering amplitude nuclear only Coulomb+nuclear
More informationSHAPE RESONANCE IN PHOTOELECTRON SPECTROSCOPY
SHAPE RESONANCE IN PHOTOELECTRON SPECTROSCOPY Pradipta Sankar Maiti (CY05C012) Sandip Mukherjee (CY05C017) Sanjib Saha (CY05C020) Shreyasi Dutta (CY05C022) Suman Ghorai (CY05C026) 1 Contents Introduction
More informationThe Doubly Excited States Description of the Negative Hydrogen Ion Using Special Forms of the Hylleraas Type Wave Functions
CHINESE JOURNAL OF PHYSICS VOL. 47, NO. 2 APRIL 2009 The Doubly Excited States Description of the Negative Hydrogen Ion Using Special Forms of the Hylleraas Type Wave Functions M. Biaye, 1, M. Dieng, 2
More informationInternational Atomic Energy Agency, Vienna, Austria. Charge Transfer in Collisions of Ions with atoms and molecules.
International Centre for Theoretical Physics (ICTP), Trieste, Italy International Atomic Energy Agency, Vienna, Austria Training Workshop on Atomic and Molecular Data for Fusion Energy Research Charge
More informationOne and Two Photon Ionization along the Fe Isonuclear Sequence
I R A M P 8(), December 017, pp. 81-91 One and Two Photon Ionization along the Fe Isonuclear Sequence International Science Press ISSN: 9-3159 One and Two Photon Ionization along the Fe Isonuclear Sequence
More informationarxiv: v2 [nucl-th] 28 Aug 2014
Pigmy resonance in monopole response of neutron-rich Ni isotopes? Ikuko Hamamoto 1,2 and Hiroyuki Sagawa 1,3 1 Riken Nishina Center, Wako, Saitama 351-0198, Japan 2 Division of Mathematical Physics, arxiv:1408.6007v2
More informationAbsolute differential cross sections for electron elastic scattering and vibrational excitation in nitrogen in the angular range from 120 to 180
J. Phys. B: At. Mol. Opt. Phys. 33 (2000) L527 L532. Printed in the UK PII: S0953-4075(00)50902-X LETTER TO THE EDITOR Absolute differential cross sections for electron elastic scattering and vibrational
More informationULTRAVIOLET BANDS OF POTASSIUM DIMER
IC/2001/36 United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS ULTRAVIOLET BANDS OF POTASSIUM
More informationIndirect methods for nuclear astrophysics: reactions with RIBs. The ANC method
Indirect methods for nuclear astrophysics: reactions with RIBs. The ANC method 1 Cyclotron Institute, Texas A&M University College Station, TX 77843-3366, USA E-mail: livius_trache@tamu.edu Abstract. Indirect
More informationTotal ionization cross-sections of atmospheric molecules due to electron impact
Indian Journal of Pure & Applied Physics Vol. 48, September 010, pp. 61-65 Total ionization cross-sections of atmospheric molecules due to electron impact Yogesh Kumar 1, * Neelam Tiwari, Mano Kumar 3
More informationBohr-Coster diagrams for multiply ionized states of light elements in the range Z--10 to 20
Pramhn.a-J. Phys., Vol. 29, No. 3, September 1987, pp. 253-260. Printed in India. Bohr-Coster diagrams for multiply ionized states of light elements in the range Z--10 to 20 LAKSH'MI NATARAJAN, A V TANKHIWALE
More informationTitleAnalytical Expression of the Hartre Author(s) Mukoyama, Takeshi; Yasui, Jun Citation Bulletin of the Institute for Chemi University (1992), 70(4): 385-391 Issue Date 1992-11-30 URL http://hdl.handle.net/2433/77474
More informationUncertainty in Molecular Photoionization!
Uncertainty in Molecular Photoionization! Robert R. Lucchese! Department of Chemistry! Texas A&M University Collaborators:! At Texas A&M: R. Carey, J. Lopez, J. Jose! At ISMO, Orsay, France: D. Dowek and
More informationElectron impact ionization of diatomic molecules
Eur. Phys. J. D 8, 5 5 (8) DOI:./epjd/e8-- Electron impact ionization of diatomic molecules I. Tóth, R.I. Campeanu, V. Chiş and L. Nagy Eur. Phys. J. D 8, 5 5 (8) DOI:./epjd/e8-- THE EUROPEAN PHYSICAL
More informationProtonium Formation in Antiproton Hydrogen Collisions
WDS'8 Proceedings of Contributed Papers, Part III, 168 172, 28. ISBN 978-8-7378-67-8 MATFYZPRESS Protonium Formation in Antiproton Hydrogen Collisions J. Eliášek Charles University in Prague, Faculty of
More informationTheoretical approaches to electronimpact
Theoretical approaches to electronimpact ionization James Colgan, C. J. Fontes, D. P. Kilcrease, J. Abdallah, Jr., M. E. Sherrill, P. Hakel, and M. S. Pindzola 2 Los Alamos National Laboratory, Los Alamos,
More informationCalculations of electron-molecule scattering cross sections using the Rmatrix method
Calculations of electron-molecule scattering cross sections using the Rmatrix method Jimena Gorfinkiel Department of Physical Sciences The Open University Milton Keynes, UK Jimena.Gorfinkiel@open.ac.uk
More informationPUBLICATIONS IN REFEREED JOURNALS
PUBLICATIONS IN REFEREED JOURNALS 1. R. Shakeshaft, The Analytical and Recursive Evaluation of Two-Center Integrals, J. Computational Phys. 5, 345-349 (1970). 2. J. Macek and R. Shakeshaft, Possibility
More informationElectron-helium scattering within the S-wave model
PHYSICAL REVIEW A, VOLUME 65, 032701 Electron-helium scattering within the S-wave model Chris Plottke, 1 Igor Bray, 1 Dmitry V. Fursa, 2 and Andris T. Stelbovics 1 1 Centre for Atomic, Molecular and Surface
More informationELECTRONIC STRUCTURE OF MAGNESIUM OXIDE
Int. J. Chem. Sci.: 8(3), 2010, 1749-1756 ELECTRONIC STRUCTURE OF MAGNESIUM OXIDE P. N. PIYUSH and KANCHAN LATA * Department of Chemistry, B. N. M. V. College, Sahugarh, MADHIPUR (Bihar) INDIA ABSTRACT
More informationShells Orthogonality. Wave functions
Shells Orthogonality Wave functions Effect of other electrons in neutral atoms Consider effect of electrons in closed shells for neutral Na large distances: nuclear charge screened to 1 close to the nucleus:
More informationEVEN AND ODD PARITY STATES IN y Be
. t-j) IC/68/27 c INTERNATIONAL ATOMIC ENERGY AGENCY INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS EVEN AND ODD PARITY STATES IN y Be M. BOUTEN M.C. BOUTEN H. DEPUYDT AND L. SCHOTSMANS 1968 PIAZZA OBERDAN
More informationThe LANL atomic kinetics modeling effort and its application to W plasmas
The LANL atomic kinetics modeling effort and its application to W plasmas James Colgan, Joseph Abdallah, Jr., Christopher Fontes, Honglin Zhang Los Alamos National Laboratory IAEA CRP December 2010 jcolgan@lanl.gov
More informationAtomic structure and dynamics
Atomic structure and dynamics -- need and requirements for accurate atomic calculations Analysis and interpretation of optical and x-ray spectra (astro physics) Isotope shifts and hyperfine structures
More informationEnergy levels and radiative rates for Ne-like ions from Cu to Ga
Pramana J. Phys. (2017) 89:79 DOI 10.1007/s12043-017-1469-x Indian Academy of Sciences Energy levels and radiative rates for Ne-like ions from Cu to Ga NARENDRA SINGH and SUNNY AGGARWAL Department of Physics,
More informationFundamentals of Spectroscopy for Optical Remote Sensing. Course Outline 2009
Fundamentals of Spectroscopy for Optical Remote Sensing Course Outline 2009 Part I. Fundamentals of Quantum Mechanics Chapter 1. Concepts of Quantum and Experimental Facts 1.1. Blackbody Radiation and
More informationAb-initio Calculations for Forbidden M1/E2 Decay Rates in Ti XIX ion
EJTP 3, No. 11 (2006) 111 122 Electronic Journal of Theoretical Physics Ab-initio Calculations for Forbidden M1/E2 Decay Rates in Ti XIX ion A. Farrag Physics Department,Faculty of Science, Cairo University,
More informationEFFECTIVE CROSS SECTIONS FOR THE EXCHANGE EXCITATION OF ATOMS AND IONS BY ELECTRON IMPACT
SOVET PHYSCS JETP VOLUME 25, NUMBER 1 JULY, 1967 EFFECTVE CROSS SECTONS FOR THE EXCHANGE EXCTATON OF ATOMS AND ONS BY ELECTRON MPACT. L. BEGMAN and L. A. VANSHTEN P. N. Lebedev Physics nstitute, Academy
More informationSECTION A Quantum Physics and Atom Models
AP Physics Multiple Choice Practice Modern Physics SECTION A Quantum Physics and Atom Models 1. Light of a single frequency falls on a photoelectric material but no electrons are emitted. Electrons may
More informationElectron impact ionization of Ar 10+
M.J. CONDENSED MATTER VOUME 3, NUMBER JUY Electron impact ionization o Ar + A. Riahi, K. aghdas, S. Rachai Département de Physique, Faculté des Sciences, Université Chouaib Douali, B.P., 4 ElJadida, Morocco.
More informationR. Clark, D. Humbert, K. Sheikh Nuclear Data Section
Calculation of Atomic Data for Plasma Modeling: Introduction and Atomic Structure Part 1 R. Clark, D. Humbert, K. Sheikh Nuclear Data Section Overview Plasmas in fusion research Data needs for plasma modeling
More informationElectron Spettroscopies
Electron Spettroscopies Spettroscopy allows to characterize a material from the point of view of: chemical composition, electronic states and magnetism, electronic, roto-vibrational and magnetic excitations.
More informationAuger decay of excited Ar projectiles emerging from carbon foils
J. Phys. B: Atom. Molec. Phys., Vol. 9, No. 15, 1976. Printed in Great Britain. @ 1976 LETTER TO THE EDITOR Auger decay of excited Ar projectiles emerging from carbon foils R A Baragiola?, P Ziem and N
More informationJoint ICTP-IAEA Workshop on Fusion Plasma Modelling using Atomic and Molecular Data January 2012
2327-4 Joint ICTP- Workshop on Fusion Plasma Modelling using Atomic and Molecular Data 23-27 January 2012 Atomic Processes Modeling in Plasmas Modeling Spectroscopic Observables from Plasmas Hyun-Kyung
More informationMultielectron Atoms and Periodic Table
GRE Question Multielectron Atoms and Periodic Table Helium Atom 2 2m e ( 2 1 + 2 2) + 2ke 2 2ke 2 + ke2 r 1 r 2 r 2 r 1 Electron-electron repulsion term destroys spherical symmetry. No analytic solution
More informationPt L X-RAYS PRODUCTION CROSS SECTIONS BY 12 C, 16 O, 32 S AND 48 Ti ION-BEAMS IN THE MeV/u ENERGY RANGE *
Pt L X-RAYS PRODUCTION CROSS SECTIONS BY 12 C, 16 O, 32 S AND 48 Ti ION-BEAMS IN THE MeV/u ENERGY RANGE * M.M. GUGIU, C. CIORTEA, D.E. DUMITRIU, D. FLUERAŞU, A. ENULESCU, I. PITICU, A.C. SCAFEŞ, M.D. PENA
More informationHighly accurate Gaussian basis sets for low-lying excited states of some positive and negative ions
Indian Journal of Chemistry Vol. 46A, September 2007, pp. 1383-1387 Papers Highly accurate Gaussian basis sets for low-lying excited states of some positive and negative ions P J P de Oliveira & F E Jorge*
More informationTime-dependent close-coupling calculations of the triple-differential cross section for electron-impact ionization of hydrogen
PHYSICAL REVIEW A, VOLUME 65, 471 Time-dependent close-coupling calculations of the triple-differential cross section for electron-impact ionization of hydrogen J. Colgan, M. S. Pindzola, and F. J. Robicheaux
More informationFormation of H-atom in 2s excited state of proton-lithium and proton-sodium scattering
PRAMANA c Indian Academy of Sciences Vol. 70, No. 4 journal of April 008 physics pp. 753 758 Formation of H-atom in s excited state of proton-lithium and proton-sodium scattering Y N TIWARI Department
More informationPositronium formation from valence and inner shells in noble gas atoms
Nucl. Instrum. and Methods B, accepted for publication, January 26 Positronium formation from valence and inner shells in noble gas atoms L. J. M. Dunlop, G. F. Gribakin Department of Applied Mathematics
More informationElectron-loss and capture cross sections of W and its ions colliding with H and He atoms
Electron-loss and capture cross sections of W and its ions colliding with H and He atoms I.Yu. Tolstikhina and V.P. Shevelko P.N. Lebedev Physical Institute, Moscow September 5, 2012 In collaboration with:
More informationDiagrammatic Representation of Electronic Correlations in Photoionization Process: Application to Scandium
Commun. Theor. Phys. 56 (2011) 312 316 Vol. 56, No. 2, August 15, 2011 Diagrammatic Representation of Electronic Correlations in Photoionization Process: Application to Scandium LIU Meng-Meng ( ) and MA
More information(e, 2e) spectroscopy of atomic clusters
J. Phys. B: At. Mol. Opt. Phys. 30 (1997) L703 L708. Printed in the UK PII: S0953-4075(97)86235-9 LETTER TO THE EDITOR (e, 2e) spectroscopy of atomic clusters S Keller, E Engel, H Ast and R M Dreizler
More informationPHYSICAL REVIEW C 70, (2004)
PHYSICAL REVIEW C 70, 014307 (2004) Giant resonances in 112 Sn and 124 Sn: Isotopic dependence of monopole resonance energies Y.-W. Lui, D. H. Youngblood, Y. Tokimoto, H. L. Clark, and B. John* Cyclotron
More informationOverlapping photo-ionized doubly excited resonances series for Li + atom. Abstract
Overlapping photo-ionized doubly excited resonances series for Li + atom T. K. Fang, 1, X. Gao, 2 and T. N. Chang 3 1 Department of Physics, Fu Jen Catholic University, New Taipei City, Taiwan 24205, ROC
More informationConstraints on Neutrino Electromagnetic Properties via Atomic Ionizations with Germanium Detectors at sub-kev Sensitivities
Constraints on Neutrino Electromagnetic Properties via Atomic Ionizations with Germanium Detectors at sub-kev Sensitivities Chih-Pan Wu National Taiwan University Collaborators: Jiunn-Wei Chen, Chih-Liang
More informationLecture 12 Multiplet splitting
Lecture 12 Multiplet splitting Multiplet splitting Atomic various L and S terms Both valence and core levels Rare earths Transition metals Paramagnetic free molecules Consider 3s level emission from Mn2+
More informationEMISSION SPECTRA OF WARM DENSE MATTER PLASMAS
EMSION SPECTRA OF WARM DENSE MATTER PLASMAS G. Miloshevsky ξ, A. Hassanein Center for Materials under Extreme Environment, School of Nuclear Engineering, Purdue University, West Lafayette, IN 47907, USA
More informationAGN Physics of the Ionized Gas Physical conditions in the NLR Physical conditions in the BLR LINERs Emission-Line Diagnostics High-Energy Effects
AGN Physics of the Ionized Gas Physical conditions in the NLR Physical conditions in the BLR LINERs Emission-Line Diagnostics High-Energy Effects 1 Evidence for Photoionization - continuum and Hβ luminosity
More information(Multi-)nucleon transfer in the reactions 16 O, 3 32 S Pb
Journal of Physics: Conference Series Related content (Multi-)nucleon transfer in the reactions 16 O, 3 32 S + 208 Pb To cite this article: M Evers et al 2013 J. Phys.: Conf. Ser. 420 012129 - Quantum
More informationSCA calculations of the proton induced alignment using relativistic Hartree-Fock wavefunctions
SCA calculations of the proton induced alignment using relativistic Hartree-Fock wavefunctions Z.Halabuka, W.Perger and D.Trautmann Physics Department, University of Fribourg, CH-1700 Fribourg, Switzerland
More informationDynamical (e,2e) Studies of Bio-Molecules
Dynamical (e,2e) Studies of Bio-Molecules Joseph Douglas Builth-Williams Submitted in fulfillment for the requirements of the degree of Masters of Science March 2013 School of Chemical and Physical Sciences
More informationinduced cross-sections up to 3 GeV. The obtained results have been discussed in detail.
STUDYING ANGULAR DISTRIBUTION OF NEUTRON FOR (p, n) REACTION FROM 0.5 GeV TO 1.5 GeV ON SOME HEAVY TARGETS 238 U, 206 Pb, 197 Au, 186 W Nguyen Mong Giao Physics Institute-1 Mac Dinh Chi Street, District
More informationRelativistic Calculations for Be-like Iron
Commun. Theor. Phys. (Beijing, China) 50 (2008) pp. 468 472 Chinese Physical Society Vol. 50, No. 2, August 15, 2008 Relativistic Calculations for Be-like Iron YANG Jian-Hui, 1 LI Ping, 2, ZHANG Jian-Ping,
More informationAtomic data from the IRON Project
ASTRONOMY & ASTROPHYSICS JANUARY II 1999, PAGE 369 SUPPLEMENT SERIES Astron. Astrophys. Suppl. Ser. 134, 369 375 (1999) Atomic data from the IRON Project XXX. Collision data for the 2 P o 1 2 P o 3 2 2
More informationJack Simons, Henry Eyring Scientist and Professor Chemistry Department University of Utah
1. Born-Oppenheimer approx.- energy surfaces 2. Mean-field (Hartree-Fock) theory- orbitals 3. Pros and cons of HF- RHF, UHF 4. Beyond HF- why? 5. First, one usually does HF-how? 6. Basis sets and notations
More informationSolar Fusion Cross Sections for the pp chain and CNO cycles
Solar Fusion Cross Sections for the pp chain and CNO cycles Working Group 10: Theoretical Issues (Wick Haxton, Stefan Typel) status of theory at 1997 meeting (Rev. Mod. Phys. 70 (1998) 1265) progress during
More informationOscillator strengths and E1 radiative rates for Ca-like titanium, Ti III
Int. J. New. Hor. Phys. 2, No. 1, 25-31 (2015) 25 International Journal of New Horizons in Physics http://dx.doi.org/10.12785/ijnhp/020105 Oscillator strengths and E1 radiative rates for Ca-like titanium,
More informationVarious problems in electron-atom collision theory
Various problems in electron-atom collision theory I. Bray, K. Bartschat, D. V. Fursa, A. S. Kadyrov and A. T. Stelbovics Centre for Atomic, Molecular, and Surface Physics, Murdoch University, Perth 615
More informationDominance of short-range correlations in photoejection-induced excitation processes
J. Phys. B: At. Mol. Opt. Phys. 30 (1997) L641 L647. Printed in the UK PII: S0953-4075(97)86594-7 LETTER TO THE EDITOR Dominance of short-range correlations in photoejection-induced excitation processes
More informationAb initio asymptotic-expansion coefficients for pair energies in Møller-Plesset perturbation theory for atoms
Ab initio asymptotic-expansion coefficients for pair energies in Møller-Plesset perturbation theory for atoms K. JANKOWSKI a, R. SŁUPSKI a, and J. R. FLORES b a Nicholas Copernicus University 87-100 Toruń,
More informationDIFFUSENESS OF WOODS SAXON POTENTIAL AND SUB-BARRIER FUSION
Modern Physics Letters A Vol. 26, No. 28 (20) 229 234 c World Scientific Publishing Company DOI: 0.42/S0277303654 DIFFUSENESS OF WOODS SAXON POTENTIAL AND SUB-BARRIER FUSION MANJEET SINGH, SUKHVINDER S.
More informationP. W. Atkins and R. S. Friedman. Molecular Quantum Mechanics THIRD EDITION
P. W. Atkins and R. S. Friedman Molecular Quantum Mechanics THIRD EDITION Oxford New York Tokyo OXFORD UNIVERSITY PRESS 1997 Introduction and orientation 1 Black-body radiation 1 Heat capacities 2 The
More informationOther electrons. ε 2s < ε 2p ε 3s < ε 3p < ε 3d
Other electrons Consider effect of electrons in closed shells for neutral Na large distances: nuclear charge screened to 1 close to the nucleus: electron sees all 11 protons approximately:!!&! " # $ %
More informationAuthor(s) Mukoyama, Takeshi; Sarkadi, Citation University (1987), 64(5-6):
Title Approximate Continuum Wave Function Ionization in Ion-Atom Collisions Author(s) Mukoyama, Takeshi; Sarkadi, Lászlo Citation Bulletin of the Institute for Chemi University (1987), 64(5-6): 307-311
More informationProbability and Normalization
Probability and Normalization Although we don t know exactly where the particle might be inside the box, we know that it has to be in the box. This means that, ψ ( x) dx = 1 (normalization condition) L
More informationNIST Research on Spectroscopy and Collisional-Radiative Modeling of Highly-Charged Ions of Tungsten
NIST Research on Spectroscopy and Collisional-Radiative Modeling of Highly-Charged Ions of Tungsten Yuri Ralchenko National Institute of Standards and Technology Gaithersburg, USA Vienna, Austria, Dec
More informationarxiv: v1 [physics.chem-ph] 29 Jul 2010
Dissociative Electron Attachment to Polyatomic Molecules - V : Formic Acid and n-propyl Amine N. Bhargava Ram 1, and E. Krishnakumar 1, 1 Tata Institute of Fundamental Research, Mumbai 400005, India Abstract
More informationAtom-molecule molecule collisions in spin-polarized polarized alkalis: potential energy surfaces and quantum dynamics
Atom-molecule molecule collisions in spin-polarized polarized alkalis: potential energy surfaces and quantum dynamics Pavel Soldán, Marko T. Cvitaš and Jeremy M. Hutson University of Durham with Jean-Michel
More informationAbnormal pulse duration dependence of the ionization probability of Na atoms in intense laser fields
INSTITUTE OF PHYSICSPUBLISHING JOURNAL OFPHYSICSB: ATOMIC, MOLECULAR AND OPTICAL PHYSICS J. Phys. B: At. Mol. Opt. Phys. 36 (2003) 1121 1127 PII: S0953-4075(03)53141-8 Abnormal pulse duration dependence
More informationDIFFERENTIAL SCATTERING CROSS SECTIONS FOR ELASTIC ELECTRON-MAGNESIUM SCATTERING
DIFFERENTIAL SCATTERING CROSS SECTIONS FOR ELASTIC ELECTRON-MAGNESIUM SCATTERING C.V. PANDYA, P.M. PATEL 2, K.L. BALUJA 3 Department of Physics, M.G. Science Institute, Navrangpura, Ahmedabad-38009, India.
More informationLow-energy electron collisions with sulfur hexafluoride, SF 6
JOURNAL OF CHEMICAL PHYSICS VOLUME 121, NUMBER 12 22 SEPTEMBER 2004 Low-energy electron collisions with sulfur hexafluoride, SF 6 C. Winstead and V. McKoy A. A. Noyes Laboratory of Chemical Physics, California
More informationMeasurements for 44 Ti at TRIUMF-ISAC 40
Measurements for Ti at TRIUMF-ISAC 40 Ca(, ) Ti and future RIB experiments (ETH Zurich) for the DRAGON collaboration Vancouver, B.C., Canada Role of Ti in Astrophysics laboratory half-life of 58.9 +/-
More informationPhotodetachment of He - in the vicinity of the He* (n=3, 4, and 5) thresholds
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Anthony F. Starace Publications Research Papers in Physics and Astronomy December 1999 Photodetachment of He - in the vicinity
More informationAtomic Spectroscopy II
Applied Spectroscopy Atomic Spectroscopy II Multielectron Atoms Recommended Reading: Banwell And McCash Chapter 5 The Building-Up (aufbau) Principle How do the electrons in multi-electron atoms get distributed
More informationTransition Probabilities for the Dipole Allowed Fine Structure Transitions in Sll
Physica Scripta., Vol.55, 200-238, 1997 ISSN: 1402-4896/55/2/012 (print) doi: 10.1088/0031-8949/55/2/012 IOP Publishing http://journals.iop.org/ http://www.iop.org/ej/journal/physscr Transition Probabilities
More informationExam 4 Review. Exam Review: A exam review sheet for exam 4 will be posted on the course webpage. Additionally, a practice exam will also be posted.
Chem 4502 Quantum Mechanics & Spectroscopy (Jason Goodpaster) Exam 4 Review Exam Review: A exam review sheet for exam 4 will be posted on the course webpage. Additionally, a practice exam will also be
More informationUpdate on the study of the 14 C+n 15 C system. M. McCleskey, A.M. Mukhamedzhanov, V. Goldberg, and R.E. Tribble
Update on the study of the 14 C+n 15 C system M. McCleskey, A.M. Mukhamedzhanov, V. Goldberg, and R.E. Tribble The 14 C+n 15 C system has been used to evaluate a new method [1] to obtain spectroscopic
More informationFine Structure Calculations of Atomic Data for Ar XVI
Journal of Modern Physics, 2015, 6, 1609-1630 Published Online September 2015 in SciRes. http://www.scirp.org/journal/jmp http://dx.doi.org/10.4236/jmp.2015.611163 Fine Structure Calculations of Atomic
More informationNuclear contribution into single-event upset in 3D on-board electronics at moderate energy cosmic proton impact
Nuclear contribution into single-event upset in 3D on-board electronics at moderate energy cosmic proton impact N. G. Chechenin, T. V. Chuvilskaya and A. A. Shirokova Skobeltsyn Institute of Nuclear Physics,
More informationSpin Wave Dynamics of 2D and 3D Heisenberg Antiferromagnets
Vol. 115 (2009) ACTA PHYSICA POLONICA A No. 1 Proceedings of the European Conference Physics of Magnetism (PM 08), Poznań 2008 Spin Wave Dynamics of 2D and 3D Heisenberg Antiferromagnets R.A. Cowley, D.A.
More informationElectron Spectroscopy
Electron Spectroscopy Photoelectron spectroscopy is based upon a single photon in/electron out process. The energy of a photon is given by the Einstein relation : E = h ν where h - Planck constant ( 6.62
More informationKirori Mal College, University of Delhi
Kirori Mal College, University of Delhi Title Dr. First Designation Address Phone No Office Residence ALOK ASSISTANT PROFESSOR Middle KUMAR SINGH Last E-175, DOUBLE STOREY,RAMESH NAGAR,NEW DELHI 011-25106889
More informationAtomic and nuclear physics
Chapter 4 Atomic and nuclear physics INTRODUCTION: The technologies used in nuclear medicine for diagnostic imaging have evolved over the last century, starting with Röntgen s discovery of X rays and Becquerel
More informationCalculation of electron-impact total-ionization cross sections
PHYSICAL REVIEW A 66, 012707 2002 Calculation of electron-impact total-ionization cross sections Philip L. Bartlett* and Andris T. Stelbovics Centre for Atomic, Molecular and Surface Physics, School of
More informationFEB RUARY 15, 1933 PH YSI CAL REVI EW -VOLUME 43
FEB RUARY 5, 933 PH YSI CAL REVI EW -VOLUME 43 The Interaction of Configurations: sd p' R. F. BAcHER, * University of 3fichigan (Received December 6, 932) It does not seem possible to account for the presence
More informationNew T=1 effective interactions for the f 5/2 p 3/2 p 1/2 g 9/2 model space: Implications for valence-mirror symmetry and seniority isomers
PHYSICAL REVIEW C 70, 044314 (2004) New T=1 effective interactions for the f 5/2 p 3/2 p 1/2 g 9/2 model space: Implications for valence-mirror symmetry and seniority isomers A. F. Lisetskiy, 1 B. A. Brown,
More information