Indirect Deexcitation. Of 84 Rb in a Plasma Created at PHELIX. G. Gosselin M. Comet V. Méot P. Morel CEA,DAM,DIF. D. Denis-Petit

Size: px
Start display at page:

Download "Indirect Deexcitation. Of 84 Rb in a Plasma Created at PHELIX. G. Gosselin M. Comet V. Méot P. Morel CEA,DAM,DIF. D. Denis-Petit"

Transcription

1 Indirect Deexcitation G. Gosselin M. Comet V. Méot P. Morel CEA,DAM,DIF Of 84 Rb in a Plasma Created at PHELIX D. Denis-Petit F. Gobet F. Hannachi M. Tarisien M. Versteegen Université Bordeaux 1

2 The Final Experiment? γ detector Phelix kev GSI 11 B 76 Ge 1 hour γ : E= kev 76 Ge( 11 B,3n) 84 Rb m CEA-CENBG-GSI Collaboration

3 The Preliminary Experiment Phelix 84 Rb Bragg Cristal CEA-CENBG-GSI Collaboration

4 Spectrum Evaluation! NEET Evaluation! Nuclear Transition Energy : 3.05 kev now 3.50 kev! Requires precise knowledge of atomic transition energy! MCDF (Multi-Configuration Dirac-Fock)! Hamiltonian diagonalization for each J! Precise atomic energies ΔE E 10! Very Long Calculation Times! Not the best way to get a spectrum! Is probably best to get line energies for NEET calculations 3 SEPTEMBER 2, 2014

5 Spectrum Evaluation! Spectrum Γ S( E) = P Q Pi 2 Q i 2 Γ ( E ΔEi ) + 4! Configuration Probability : Grand Canonical Partition Function P Q P i = ( 2j + 1) ( 2jk + 1) k i e Ei Qη kt e Ek Qη kt η : reduced chemical potential SEPTEMBER 2, 2014

6 Configuration Interaction Configuration Interaction (CI) With Without Definition (n,l) (not j) (n,l,j) (1s) 2 (2s) 1 (4p) 1 è (1s) 2 (2s) 2 (1s 1/2 ) 2 (2s 1/2 ) 1 (4p 3/2 ) 1 è (1s 1/2 ) 2 (2s 1/2 ) 2 Calculation Time Long (very long ) Long (much less so ) Configuration Number Not so Huge Huge Precision Even Better Quite Good SEPTEMBER 2, 2014

7 Spectrum Evaluation! Configuration Numbers! Electrons from n=1 to n=6! Transitions : n=3,4,5,6 è n=2! Initial Configurations : 1s filled Charge State With CI (All Transitions) Without CI (3s 1/2 to 2p 1/2 only) Configuration Selection is mandatory 32+ 1, ,220 6, ,699 57, , , ,310 2,591, ,395,835 14,049, ,026,185 68,016,688 SEPTEMBER 2, 2014

8 Configuration Selection! Goal : Eliminate the less probable configurations! Problem : Partition function cannot be evaluated yet Ø Configurations probabilities are unknown! Configuration probability estimation: Bernoulli Ø Sub-shells occupation from average atom model P i k C n D k k n k ( p ) ( 1 p )! Configurations are ordered by decreasing probability P > 1 > P2 > P3 >... PN k k D k n k! Configurations selection under cumulated P threshold N sel k= 1 P k P threshold SEPTEMBER 2, 2014

9 Configuration Selection T e = 270 ev SEPTEMBER 2, 2014

10 Configuration Selection! Configuration Numbers! Initial Configurations : 1s full, electrons from n=1 to n=6 With CI Without CI Charge State (All Transitions) (3s 1/2 to 2p 1/2 only) Total Selected (99,9 %) Total Selected (99 %) , , , ,699 1,529 57, ,956 1, , ,310 1,704 2,591, ,395,835 2,821 14,049, ,026,185 5,225 68,016, SEPTEMBER 2, 2014

11 Bernoulli vs Partition Function T e = 270 ev Fondamental Configurations SEPTEMBER 2, 2014

12 Charge States under Non LTE Conditions Ionic Fraction Q P Q % % % % % T z = 270 ev T HETL = 1.4 kev From AVERROES & FlyCHK SEPTEMBER 2, 2014 Gilbert GOSSELIN Flash 11 AVRIL 2014

13 Experimental Spectrum vs MCDF Spectrum (no CI) SEPTEMBER D. Denis-Petit 2, 2014 et al., JQSRT 148 (2014) 70-89

14 Experimental Spectrum vs MCDF Spectrum (no CI) D. Denis-Petit et al., JQSRT 148 (2014) SEPTEMBER 2, 2014

15 Spectrum Analysis! Most lines have been identified! Energy, initial configuration, angular momentum! More than 50 new lines previously unidentified! Charge states distribution! Ionization temperature model is fine! Line intensities are globally good within a factor of 2 or 3! Exception around 7 Ǻ SEPTEMBER 2, 2014

16 Spectrum with CI vs without CI T e = 270 ev SEPTEMBER 2, 2014

17 Spectrum with CI vs without CI T e = 270 ev SEPTEMBER 2, 2014

18 Alternative Atomic Physics Models! AVERROES! Superconfigurations approach! Native non-lte! Partial LTE within superconfigurations! SCO-RCG! Combines statistical and detailed approach! SOSA (Spin Orbit Split Array)! Transition arrays subdivided into sub arrays (SO effect) SEPTEMBER 2, 2014 Gilbert GOSSELIN Flash 11 AVRIL 2014

19 Spectrum T e = 270 ev AVERROES SEPTEMBER and SCO-RCG 2, 2014 : Courtesy of F. Gilleron & J. C. Pain

20 What about the new transition energy? ΔE=3,05 kev ΔE=3,50 kev T e = 270 ev n=3 n=2 n=4 n=2 n=5 n=2 n=6 n=2

21 Conclusion & Perspectives! Experimental spectrum is well restituted! MCDF calculations with or without CI! Very time consuming! Agreement with AVERROES calculations! Rubidium 84 is probably not the best candidate! n=4,5,6 è n=2 nearly impossible with ΔE=3,50 kev! Higher transition energy than expected! Optimum Charge state for NEET is now 30 + /32 +! Future NEET calculations! Will require MCDF with CI! Alternate ADAM model (see next talk with M. Comet) SEPTEMBER 2, 2014

22 Thank you for your attention Questions are welcome SEPTEMBER 2, 2014

Configuration interaction effect on open M shell Fe and Ni LTE spectral opacities, Rosseland and Planck means

Configuration interaction effect on open M shell Fe and Ni LTE spectral opacities, Rosseland and Planck means Journal of Physics: Conference Series PAPER OPEN ACCESS Configuration interaction effect on open M shell Fe and Ni LTE spectral opacities, Rosseland and Planck means To cite this article: D Gilles et al

More information

Calculations of nuclear excitation by electron capture (NEET) in nonlocal thermodynamic equilibrium plasmas

Calculations of nuclear excitation by electron capture (NEET) in nonlocal thermodynamic equilibrium plasmas PHYSICAL REVIEW C 81, 034609 (2010) Calculations of nuclear excitation by electron capture (NEET) in nonlocal thermodynamic equilibrium plasmas P. Morel, V. Méot, G. Gosselin, G. Faussurier, and C. Blancard

More information

Lecture 9. Hartree Fock Method and Koopman s Theorem

Lecture 9. Hartree Fock Method and Koopman s Theorem Lecture 9 Hartree Fock Method and Koopman s Theorem Ψ(N) is approximated as a single slater determinant Φ of N orthogonal One electron spin-orbitals. One electron orbital φ i = φ i (r) χ i (σ) χ i (σ)

More information

Atomic Structure, Periodic Table, and Other Effects: Chapter 8 of Rex and T. Modern Physics

Atomic Structure, Periodic Table, and Other Effects: Chapter 8 of Rex and T. Modern Physics Atomic Structure, Periodic Table, and Other Effects: Chapter 8 of Rex and T Modern Physics 11/16 and 11/19/2018 1 Introduction In Chapter 7, we studied the hydrogen atom. What about other elements, e.g.,

More information

Constraints 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 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 information

R. Clark, D. Humbert, K. Sheikh Nuclear Data Section

R. 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 information

Joint ICTP-IAEA Workshop on Fusion Plasma Modelling using Atomic and Molecular Data January 2012

Joint 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 information

Atomic Structure Ch , 9.6, 9.7

Atomic Structure Ch , 9.6, 9.7 Ch. 9.2-4, 9.6, 9.7 Magnetic moment of an orbiting electron: An electron orbiting a nucleus creates a current loop. A current loop behaves like a magnet with a magnetic moment µ:! µ =! µ B " L Bohr magneton:

More information

Neutrino and Dark Matter Detections via Atomic Ionizations at sub-kev Sensitivities

Neutrino and Dark Matter Detections via Atomic Ionizations at sub-kev Sensitivities Neutrino and Dark Matter Detections via Atomic Ionizations at sub-kev Sensitivities Chih-Pan Wu Dept. of Physics, National Taiwan University Collaborators: Jiunn-Wei Chen, Chih-Liang Wu (NTU) Chen-Pang

More information

The LANL atomic kinetics modeling effort and its application to W plasmas

The 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 information

arxiv: v1 [physics.atom-ph] 2 Dec 2015

arxiv: v1 [physics.atom-ph] 2 Dec 2015 J. Phys. B: At. Mol. Opt. Phys. arxiv:1512.657v1 [physics.atom-ph] 2 Dec 215 Theoretical investigation of spectroscopic properties of W 26+ in EBIT plasma V. Jonauskas, A. Kynienė, P. Rynkun, S. Kučas,

More information

Single Particle and Collective Modes in Nuclei. Lecture Series R. F. Casten WNSL, Yale Sept., 2008

Single Particle and Collective Modes in Nuclei. Lecture Series R. F. Casten WNSL, Yale Sept., 2008 Single Particle and Collective Modes in Nuclei Lecture Series R. F. Casten WNSL, Yale Sept., 2008 TINSTAASQ You disagree? nucleus So, an example of a really really stupid question that leads to a useful

More information

PHYS852 Quantum Mechanics II, Spring 2010 HOMEWORK ASSIGNMENT 8: Solutions. Topics covered: hydrogen fine structure

PHYS852 Quantum Mechanics II, Spring 2010 HOMEWORK ASSIGNMENT 8: Solutions. Topics covered: hydrogen fine structure PHYS85 Quantum Mechanics II, Spring HOMEWORK ASSIGNMENT 8: Solutions Topics covered: hydrogen fine structure. [ pts] Let the Hamiltonian H depend on the parameter λ, so that H = H(λ). The eigenstates and

More information

Auxiliary-field Monte Carlo methods in Fock space: sign problems and methods to circumvent them

Auxiliary-field Monte Carlo methods in Fock space: sign problems and methods to circumvent them Auxiliary-field Monte Carlo methods in Fock space: sign problems and methods to circumvent them Introduction Yoram Alhassid (Yale University) Finite-temperature auxiliary-field Monte Carlo methods in Fock

More information

Atomic Spectroscopy II

Atomic 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 information

Auxiliary-field quantum Monte Carlo methods in heavy nuclei

Auxiliary-field quantum Monte Carlo methods in heavy nuclei Mika Mustonen and Yoram Alhassid (Yale University) Introduction Auxiliary-field quantum Monte Carlo methods in heavy nuclei Auxiliary-field Monte Carlo (AFMC) methods at finite temperature Sign problem

More information

Investigation of the surrogate-reaction method via the simultaneous measurement of gamma-emission and fission probabilities

Investigation of the surrogate-reaction method via the simultaneous measurement of gamma-emission and fission probabilities Investigation of the surrogate-reaction method via the simultaneous measurement of gamma-emission and fission probabilities B. Jurado, P. Marini, M. Aiche, S. Czajkowski, D. Denis-Petit, L. Mathieu, R.

More information

Fine Structure Calculations of Atomic Data for Ar XVI

Fine 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 information

Detailed diagnostics for a hot bromine plasma by the open M-shell opacity

Detailed diagnostics for a hot bromine plasma by the open M-shell opacity PHYSICAL REVIEW E 72, 016404 2005 Detailed diagnostics for a hot bromine plasma by the open M-shell opacity Fengtao Jin and Jianmin Yuan* Department of Physics, National University of Defense Technology,

More information

13 Synthesis of heavier elements. introduc)on to Astrophysics, C. Bertulani, Texas A&M-Commerce 1

13 Synthesis of heavier elements. introduc)on to Astrophysics, C. Bertulani, Texas A&M-Commerce 1 13 Synthesis of heavier elements introduc)on to Astrophysics, C. Bertulani, Texas A&M-Commerce 1 The triple α Reaction When hydrogen fusion ends, the core of a star collapses and the temperature can reach

More information

CENBG, Bordeaux, France 2. CEA/DAM-DIF, Arpajon,France 3. CEA/DEN, Saint Paul Lez Durance, France 4. IPN Orsay, Orsay France 5

CENBG, Bordeaux, France 2. CEA/DAM-DIF, Arpajon,France 3. CEA/DEN, Saint Paul Lez Durance, France 4. IPN Orsay, Orsay France 5 D. Denis-Petit 1, B. Jurado 1, P. Marini 2, R. Pérez-Sanchez 1, M. Aiche 1, S. Czajkowski 1, L. Mathieu 1, I. Tsekhanovich 1,V. Méot 2,O. Roig 2,B. Morillon 2, P. Romain 2, O. Bouland 3, L. Audouin 4,

More information

only two orbitals, and therefore only two combinations to worry about, but things get

only two orbitals, and therefore only two combinations to worry about, but things get 131 Lecture 1 It is fairly easy to write down an antisymmetric wavefunction for helium since there are only two orbitals, and therefore only two combinations to worry about, but things get complicated

More information

Final Exam Practice Solutions

Final Exam Practice Solutions Physics 390 Final Exam Practice Solutions These are a few problems comparable to those you will see on the exam. They were picked from previous exams. I will provide a sheet with useful constants and equations

More information

IV. Surface analysis for chemical state, chemical composition

IV. Surface analysis for chemical state, chemical composition IV. Surface analysis for chemical state, chemical composition Probe beam Detect XPS Photon (X-ray) Photoelectron(core level electron) UPS Photon (UV) Photoelectron(valence level electron) AES electron

More information

Bohr s Correspondence Principle

Bohr s Correspondence Principle Bohr s Correspondence Principle In limit that n, quantum mechanics must agree with classical physics E photon = 13.6 ev 1 n f n 1 i = hf photon In this limit, n i n f, and then f photon electron s frequency

More information

(b) The wavelength of the radiation that corresponds to this energy is 6

(b) The wavelength of the radiation that corresponds to this energy is 6 Chapter 7 Problem Solutions 1. A beam of electrons enters a uniform 1.0-T magnetic field. (a) Find the energy difference between electrons whose spins are parallel and antiparallel to the field. (b) Find

More information

Chapter 6. Atomic Physics and Process in Partially Ionized Plasma

Chapter 6. Atomic Physics and Process in Partially Ionized Plasma Chapter 6 Atomic Physics and Process in Partially Ionized Plasma 6.1 Fundamentals of Atomic Physics Hydrogen Atom E 2 1 1 2 2 2m a n Photon(Radiation) Emission from H Atom Opacity Photon Energy Energy

More information

AMO at FLASH. FELs provide unique opportunities and challenges for AMO physics. due to essentially three reasons:

AMO at FLASH. FELs provide unique opportunities and challenges for AMO physics. due to essentially three reasons: Experience at FLASH AMO at FLASH FELs provide unique opportunities and challenges for AMO physics due to essentially three reasons: AMO at FLASH 1. huge integrated flux dilute samples Highly charged ions

More information

ELECTROMAGNETICALLY INDUCED TRANSPARENCY IN RUBIDIUM 85. Amrozia Shaheen

ELECTROMAGNETICALLY INDUCED TRANSPARENCY IN RUBIDIUM 85. Amrozia Shaheen ELECTROMAGNETICALLY INDUCED TRANSPARENCY IN RUBIDIUM 85 Amrozia Shaheen Electromagnetically induced transparency The concept of EIT was first given by Harris et al in 1990. When a strong coupling laser

More information

Effective collision strengths for fine-structure transitions for the electron impact excitation of N II. C. E. Hudson and K. L.

Effective 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 information

High-energy collision processes involving intense laser fields

High-energy collision processes involving intense laser fields High-energy collision processes involving intense laser fields Carsten Müller Max Planck Institute for Nuclear Physics, Theory Division (Christoph H. Keitel), Heidelberg, Germany EMMI Workshop: Particle

More information

Energy levels and radiative rates for Ne-like ions from Cu to Ga

Energy 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 information

It is seen that for heavier atoms, the nuclear charge causes the spin-orbit interactions to be strong enough the force between the individual l and s.

It is seen that for heavier atoms, the nuclear charge causes the spin-orbit interactions to be strong enough the force between the individual l and s. Lecture 9 Title: - coupling Page- It is seen that for heavier atoms, the nuclear charge causes the spin-orbit interactions to be strong enough the force between the individual l and s. For large Z atoms,

More information

CHAPTER 6 : LITERATURE REVIEW

CHAPTER 6 : LITERATURE REVIEW CHAPTER 6 : LITERATURE REVIEW Chapter : LITERATURE REVIEW 77 M E A S U R I N G T H E E F F I C I E N C Y O F D E C I S I O N M A K I N G U N I T S A B S T R A C T A n o n l i n e a r ( n o n c o n v e

More information

P E R E N C O - C H R I S T M A S P A R T Y

P E R E N C O - C H R I S T M A S P A R T Y L E T T I C E L E T T I C E I S A F A M I L Y R U N C O M P A N Y S P A N N I N G T W O G E N E R A T I O N S A N D T H R E E D E C A D E S. B A S E D I N L O N D O N, W E H A V E T H E P E R F E C T R

More information

Probing properties of the nuclear force in extreme conditions

Probing properties of the nuclear force in extreme conditions Probing properties of the nuclear force in extreme conditions O. Sorlin (GANIL, Caen, rance) PART 1: Testing the spin-orbit force with a bubble nucleus PART 2: Proton-neutron forces at the drip-line May

More information

The Electronic Structure of Atoms

The Electronic Structure of Atoms The Electronic Structure of Atoms Classical Hydrogen-like atoms: Atomic Scale: 10-10 m or 1 Å + - Proton mass : Electron mass 1836 : 1 Problems with classical interpretation: - Should not be stable (electron

More information

Overview of FRC-related modeling (July 2014-present)

Overview of FRC-related modeling (July 2014-present) Overview of FRC-related modeling (July 2014-present) Artan Qerushi AFRL-UCLA Basic Research Collaboration Workshop January 20th, 2015 AFTC PA Release# 15009, 16 Jan 2015 Artan Qerushi (AFRL) FRC modeling

More information

Study of the spin orbit force using a bubble nucleus O. Sorlin (GANIL)

Study of the spin orbit force using a bubble nucleus O. Sorlin (GANIL) Study of the spin orbit force using a bubble nucleus O. Sorlin (GANIL) I. General introduction to the atomic nucleus Charge density, nuclear orbits Shell gaps-> magic nuclei II. The spin orbit force History

More information

5.80 Small-Molecule Spectroscopy and Dynamics

5.80 Small-Molecule Spectroscopy and Dynamics MIT OpenCourseWare http://ocw.mit.edu 5.80 Small-Molecule Spectroscopy and Dynamics Fall 008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. MASSACHUSETTS

More information

Fine structure in hydrogen - relativistic effects

Fine structure in hydrogen - relativistic effects LNPhysiqueAtomique016 Fine structure in hydrogen - relativistic effects Electron spin ; relativistic effects In a spectrum from H (or from an alkali), one finds that spectral lines appears in pairs. take

More information

ABSTRACT Electron collision excitation strengths of inelastic transitions among the 52 Ðne-structure levels of the

ABSTRACT 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 information

Potential energy, from Coulomb's law. Potential is spherically symmetric. Therefore, solutions must have form

Potential energy, from Coulomb's law. Potential is spherically symmetric. Therefore, solutions must have form Lecture 6 Page 1 Atoms L6.P1 Review of hydrogen atom Heavy proton (put at the origin), charge e and much lighter electron, charge -e. Potential energy, from Coulomb's law Potential is spherically symmetric.

More information

3: Many electrons. Orbital symmetries. l =2 1. m l

3: Many electrons. Orbital symmetries. l =2 1. m l 3: Many electrons Orbital symmetries Atomic orbitals are labelled according to the principal quantum number, n, and the orbital angular momentum quantum number, l. Electrons in a diatomic molecule experience

More information

CHAPTER 2: ENERGY BANDS & CARRIER CONCENTRATION IN THERMAL EQUILIBRIUM. M.N.A. Halif & S.N. Sabki

CHAPTER 2: ENERGY BANDS & CARRIER CONCENTRATION IN THERMAL EQUILIBRIUM. M.N.A. Halif & S.N. Sabki CHAPTER 2: ENERGY BANDS & CARRIER CONCENTRATION IN THERMAL EQUILIBRIUM OUTLINE 2.1 INTRODUCTION: 2.1.1 Semiconductor Materials 2.1.2 Basic Crystal Structure 2.1.3 Basic Crystal Growth technique 2.1.4 Valence

More information

A more comprehensive theory was needed. 1925, Schrödinger and Heisenberg separately worked out a new theory Quantum Mechanics.

A more comprehensive theory was needed. 1925, Schrödinger and Heisenberg separately worked out a new theory Quantum Mechanics. Ch28 Quantum Mechanics of Atoms Bohr s model was very successful to explain line spectra and the ionization energy for hydrogen. However, it also had many limitations: It was not able to predict the line

More information

Chemistry 120A 2nd Midterm. 1. (36 pts) For this question, recall the energy levels of the Hydrogenic Hamiltonian (1-electron):

Chemistry 120A 2nd Midterm. 1. (36 pts) For this question, recall the energy levels of the Hydrogenic Hamiltonian (1-electron): April 6th, 24 Chemistry 2A 2nd Midterm. (36 pts) For this question, recall the energy levels of the Hydrogenic Hamiltonian (-electron): E n = m e Z 2 e 4 /2 2 n 2 = E Z 2 /n 2, n =, 2, 3,... where Ze is

More information

Atomic structure and dynamics

Atomic 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 information

Lecture 10. Transition probabilities and photoelectric cross sections

Lecture 10. Transition probabilities and photoelectric cross sections Lecture 10 Transition probabilities and photoelectric cross sections TRANSITION PROBABILITIES AND PHOTOELECTRIC CROSS SECTIONS Cross section = = Transition probability per unit time of exciting a single

More information

Physics 100 PIXE F06

Physics 100 PIXE F06 Introduction: Ion Target Interaction Elastic Atomic Collisions Very low energies, typically below a few kev Surface composition and structure Ion Scattering spectrometry (ISS) Inelastic Atomic Collisions

More information

Basic Principles of Light Emission in Semiconductors

Basic Principles of Light Emission in Semiconductors Basic Principles of Light Emission in Semiconductors Class: Integrated Photonic Devices Time: Fri. 8:00am ~ 11:00am. Classroom: 資電 06 Lecturer: Prof. 李明昌 (Ming-Chang Lee) Model for Light Generation and

More information

Spectral Line Intensities - Boltzmann, Saha Eqs.

Spectral Line Intensities - Boltzmann, Saha Eqs. Spectral Line Intensities - Boltzmann, Saha Eqs. Absorption in a line depends on: - number of absorbers along the line-of-sight, and -their cross section(s). Absorp. n a σl, where n a is the number of

More information

Radiation and the Atom

Radiation and the Atom Radiation and the Atom PHYS Lecture Departamento de Física Instituto Superior de Engenharia do Porto cav@isep.ipp.pt Overview SI Units and Prefixes Radiation Electromagnetic Radiation Electromagnetic Spectrum

More information

Optical pumping and the Zeeman Effect

Optical pumping and the Zeeman Effect 1. Introduction Optical pumping and the Zeeman Effect The Hamiltonian of an atom with a single electron outside filled shells (as for rubidium) in a magnetic field is HH = HH 0 + ηηii JJ μμ JJ BB JJ μμ

More information

One and Two Photon Ionization along the Fe Isonuclear Sequence

One 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 information

Benchmarking the Hartree-Fock and Hartree-Fock-Bogoliubov approximations to level densities. G.F. Bertsch, Y. Alhassid, C.N. Gilbreth, and H.

Benchmarking the Hartree-Fock and Hartree-Fock-Bogoliubov approximations to level densities. G.F. Bertsch, Y. Alhassid, C.N. Gilbreth, and H. Benchmarking the Hartree-Fock and Hartree-Fock-Bogoliubov approximations to level densities G.F. Bertsch, Y. Alhassid, C.N. Gilbreth, and H. Nakada 5th Workshop on Nuclear Level Density and Gamma Strength,

More information

Phys 622 Problems Chapter 5

Phys 622 Problems Chapter 5 1 Phys 622 Problems Chapter 5 Problem 1 The correct basis set of perturbation theory Consider the relativistic correction to the electron-nucleus interaction H LS = α L S, also known as the spin-orbit

More information

Fine Structure of the metastable a 3 Σ u + state of the helium molecule

Fine Structure of the metastable a 3 Σ u + state of the helium molecule Fine Structure of the metastable a 3 Σ u + state of the helium molecule Rui Su and Charles Markus 12/4/2014 Abstract The original article written by Lichten, McCusker, and Vierima reported the measurement

More information

Chapter 10: Multi- Electron Atoms Optical Excitations

Chapter 10: Multi- Electron Atoms Optical Excitations Chapter 10: Multi- Electron Atoms Optical Excitations To describe the energy levels in multi-electron atoms, we need to include all forces. The strongest forces are the forces we already discussed in Chapter

More information

LS coupling. 2 2 n + H s o + H h f + H B. (1) 2m

LS coupling. 2 2 n + H s o + H h f + H B. (1) 2m LS coupling 1 The big picture We start from the Hamiltonian of an atomic system: H = [ ] 2 2 n Ze2 1 + 1 e 2 1 + H s o + H h f + H B. (1) 2m n e 4πɛ 0 r n 2 4πɛ 0 r nm n,m Here n runs pver the electrons,

More information

Surrogate-reaction studies by the CENBG collaboration: status and perspectives

Surrogate-reaction studies by the CENBG collaboration: status and perspectives Surrogate-reaction studies by the CENBG collaboration: status and perspectives Beatriz Jurado, Centre d Etudes Nucleaires de Bordeaux-Gradignan (CENBG), France The CENBG collaboration M.Aiche, G. Barreau,

More information

Testing the validity of the Spin-orbit force Nuclear forces at the drip-line O. Sorlin (GANIL, Caen, France) PART 1:

Testing the validity of the Spin-orbit force Nuclear forces at the drip-line O. Sorlin (GANIL, Caen, France) PART 1: Testing the validity of the Spin-orbit force Nuclear forces at the drip-line O. Sorlin (GANIL, Caen, France) PART : The 34 Si a bubble nucleus? Probing the neutron SO interaction using the 34 Si nucleus

More information

Inelastic Dark Matter and DAMA

Inelastic Dark Matter and DAMA Inelastic Dark Matter and DAMA Spencer Chang (UC Davis) work in collaboration with hep-ph:0807.2250 G. Kribs, D. Tucker-Smith, N. Weiner Also see David Morrissey's talk Dark Matter Mystery Dark matter

More information

Ab-initio Calculations for Forbidden M1/E2 Decay Rates in Ti XIX ion

Ab-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 information

Yingwei Wang Computational Quantum Chemistry 1 Hartree energy 2. 2 Many-body system 2. 3 Born-Oppenheimer approximation 2

Yingwei Wang Computational Quantum Chemistry 1 Hartree energy 2. 2 Many-body system 2. 3 Born-Oppenheimer approximation 2 Purdue University CHM 67300 Computational Quantum Chemistry REVIEW Yingwei Wang October 10, 2013 Review: Prof Slipchenko s class, Fall 2013 Contents 1 Hartree energy 2 2 Many-body system 2 3 Born-Oppenheimer

More information

Old and new quantum theory

Old and new quantum theory Old and new quantum theory Faults of the Bohr model: - gives only position of the lines and not the intensity - does not explain the number of electrons on each orbit - gives innacurate results for atoms

More information

Theoretical study of forbidden unique and non-unique beta decays of medium-heavy nuclei. Nael Soukouti

Theoretical study of forbidden unique and non-unique beta decays of medium-heavy nuclei. Nael Soukouti Theoretical study of forbidden unique and non-unique beta decays of medium-heavy nuclei Nael Soukouti Thesis Presented For The Degree of Master s In Theoretical Nuclear Physics Department Of Physics Finland

More information

High efficiency 3 He neutron detector TETRA for DESIR.

High efficiency 3 He neutron detector TETRA for DESIR. DESIR workshop, May 2010 High efficiency 3 He neutron detector TETRA for DESIR. Yuri Penionzhkevich Joint Institute for Nuclear Research, Dubna Beta Decay of Exotic Nuclei: Goal to study Neutron emission

More information

Theoretical study on the K α transition properties of F-like ions

Theoretical study on the K α transition properties of F-like ions J. At. Mol. Sci. doi: 10.4208/jams.013010.022010a Vol. 1, No. 2, pp. 134-142 May 2010 Theoretical study on the K α transition properties of F-like ions X. L. Wang, J. J. Wan, Y. J. Wang, and C. Z. Dong

More information

Concepts for Specific Heat

Concepts for Specific Heat Concepts for Specific Heat Andreas Wacker 1 Mathematical Physics, Lund University August 17, 018 1 Introduction These notes shall briefly explain general results for the internal energy and the specific

More information

Atomic Physics 3 rd year B1

Atomic Physics 3 rd year B1 Atomic Physics 3 rd year B1 P. Ewart Lecture notes Lecture slides Problem sets All available on Physics web site: http:www.physics.ox.ac.uk/users/ewart/index.htm Atomic Physics: Astrophysics Plasma Physics

More information

Math Questions for the 2011 PhD Qualifier Exam 1. Evaluate the following definite integral 3" 4 where! ( x) is the Dirac! - function. # " 4 [ ( )] dx x 2! cos x 2. Consider the differential equation dx

More information

Magnetism in Condensed Matter

Magnetism in Condensed Matter Magnetism in Condensed Matter STEPHEN BLUNDELL Department of Physics University of Oxford OXFORD 'UNIVERSITY PRESS Contents 1 Introduction 1.1 Magnetic moments 1 1 1.1.1 Magnetic moments and angular momentum

More information

Presented at the Michigan Institute for Plasma Science and Engineering

Presented at the Michigan Institute for Plasma Science and Engineering Presented at the Michigan Institute for Plasma Science and Engineering March 11, 2015 LLNL-PRES-XXXXXX This work was performed under the auspices of the U.S. Department of Energy by under contract DE-AC52-07NA27344.

More information

Atomic Term Symbols and Energy Splitting. λ=5890 Å

Atomic Term Symbols and Energy Splitting. λ=5890 Å Chemistry 362 Spring 2018 Dr. Jean M. Standard April 18, 2018 Atomic Term Symbols and Energy Splitting 1. Atomic Term Symbols and the Sodium D-Line The sodium D-line is responsible for the familiar orange

More information

Preliminary Quantum Questions

Preliminary Quantum Questions Preliminary Quantum Questions Thomas Ouldridge October 01 1. Certain quantities that appear in the theory of hydrogen have wider application in atomic physics: the Bohr radius a 0, the Rydberg constant

More information

Today: general condition for threshold operation physics of atomic, vibrational, rotational gain media intro to the Lorentz model

Today: general condition for threshold operation physics of atomic, vibrational, rotational gain media intro to the Lorentz model Today: general condition for threshold operation physics of atomic, vibrational, rotational gain media intro to the Lorentz model Laser operation Simplified energy conversion processes in a laser medium:

More information

Atomic Data for Lowly-Charged Tungsten Ions

Atomic Data for Lowly-Charged Tungsten Ions Atomic Data for Lowly-Charged Tungsten Ions Patrick Palmeri patrick.palmeri@umons.ac.be ADAS 2012 (Cadarache, France) 1 Outline Introduction HFR+CPOL Method Results: W 0, W 3-5+ Conclusions & Perspectives

More information

Descriptions of triaxial band structures in 133 La

Descriptions of triaxial band structures in 133 La Nov 6 th 12 nd, 2016, Orsay, France SSNET Workshop 2016 Descriptions of triaxial band structures in 133 La Qibo Chen ( 陈启博 ) School of Physics, Peking University Reference: Accepted by PRC@20161107 Outline

More information

6. Stellar spectra. excitation and ionization, Saha s equation stellar spectral classification Balmer jump, H -

6. Stellar spectra. excitation and ionization, Saha s equation stellar spectral classification Balmer jump, H - 6. Stellar spectra excitation and ionization, Saha s equation stellar spectral classification Balmer jump, H - 1 Occupation numbers: LTE case Absorption coefficient: κ ν = n i σ ν$ à calculation of occupation

More information

Studying microquasars with X-ray polarimetry

Studying microquasars with X-ray polarimetry Studying microquasars with X-ray polarimetry extp Andrea Marinucci IXPE Congresso Nazionale Oggetti Compatti X Padova 14 September 2017 Outline - Introduction - Polarimetry and microquasars: Coronal geometry

More information

Nuclear Spin and Stability. PHY 3101 D. Acosta

Nuclear Spin and Stability. PHY 3101 D. Acosta Nuclear Spin and Stability PHY 3101 D. Acosta Nuclear Spin neutrons and protons have s = ½ (m s = ± ½) so they are fermions and obey the Pauli- Exclusion Principle The nuclear magneton is eh m µ e eh 1

More information

Saturation Absorption Spectroscopy of Rubidium Atom

Saturation Absorption Spectroscopy of Rubidium Atom Saturation Absorption Spectroscopy of Rubidium Atom Jayash Panigrahi August 17, 2013 Abstract Saturated absorption spectroscopy has various application in laser cooling which have many relevant uses in

More information

Ayan Chattopadhyay Mainak Mustafi 3 rd yr Undergraduates Integrated MSc Chemistry IIT Kharagpur

Ayan Chattopadhyay Mainak Mustafi 3 rd yr Undergraduates Integrated MSc Chemistry IIT Kharagpur Ayan Chattopadhyay Mainak Mustafi 3 rd yr Undergraduates Integrated MSc Chemistry IIT Kharagpur Under the supervision of: Dr. Marcel Nooijen Associate Professor Department of Chemistry University of Waterloo

More information

Part 1. Answer 7 of the following 8 questions. If you answer more than 7 cross out the one you wish not to be graded. 12 points each.

Part 1. Answer 7 of the following 8 questions. If you answer more than 7 cross out the one you wish not to be graded. 12 points each. Physical Chemistry Final Name Spring 2004 Prof. Shattuck Constants: h=6.626x10-34 J s h =1.054x10-34 J s 1Å=1x10-8cm=1x10-10m NA=6.022x1023 mol-1 R=8.314 J/mol K 1eV= 96.485 kj/mol Part 1. Answer 7 of

More information

SPIRAL 2 phase 1+/DESIR

SPIRAL 2 phase 1+/DESIR SPIRAL 2 phase 1/DESIR Laurent Serani On behalf of SFRE Outline Perimeter of PHASE1 Development program Status of Design of equipment Status of building definition Time schedule Perimeter of SPIRAL2 /

More information

Relativistic corrections of energy terms

Relativistic corrections of energy terms Lectures 2-3 Hydrogen atom. Relativistic corrections of energy terms: relativistic mass correction, Darwin term, and spin-orbit term. Fine structure. Lamb shift. Hyperfine structure. Energy levels of the

More information

Lisheng Geng. Ground state properties of finite nuclei in the relativistic mean field model

Lisheng Geng. Ground state properties of finite nuclei in the relativistic mean field model Ground state properties of finite nuclei in the relativistic mean field model Lisheng Geng Research Center for Nuclear Physics, Osaka University School of Physics, Beijing University Long-time collaborators

More information

Nuclear Effects in Electron Capture into Highly Charged Heavy Ions

Nuclear Effects in Electron Capture into Highly Charged Heavy Ions Nuclear Effects in Electron Capture into Highly Charged Heavy Ions W. Scheid 1,A.Pálffy 2,Z.Harman 2, C. Kozhuharov 3, and C. Brandau 3 1 Institut für Theoretische Physik der Justus-Liebig-Universität

More information

T i t l e o f t h e w o r k : L a M a r e a Y o k o h a m a. A r t i s t : M a r i a n o P e n s o t t i ( P l a y w r i g h t, D i r e c t o r )

T i t l e o f t h e w o r k : L a M a r e a Y o k o h a m a. A r t i s t : M a r i a n o P e n s o t t i ( P l a y w r i g h t, D i r e c t o r ) v e r. E N G O u t l i n e T i t l e o f t h e w o r k : L a M a r e a Y o k o h a m a A r t i s t : M a r i a n o P e n s o t t i ( P l a y w r i g h t, D i r e c t o r ) C o n t e n t s : T h i s w o

More information

A.1 Alkaline atoms in magnetic fields

A.1 Alkaline atoms in magnetic fields 164 Appendix the Kohn, virial and Bertrand s theorem, with an original approach. Annex A.4 summarizes elements of the elastic collisions theory required to address scattering problems. Eventually, annex

More information

Joint ICTP-IAEA Workshop on Nuclear Structure Decay Data: Theory and Evaluation August Introduction to Nuclear Physics - 1

Joint ICTP-IAEA Workshop on Nuclear Structure Decay Data: Theory and Evaluation August Introduction to Nuclear Physics - 1 2358-19 Joint ICTP-IAEA Workshop on Nuclear Structure Decay Data: Theory and Evaluation 6-17 August 2012 Introduction to Nuclear Physics - 1 P. Van Isacker GANIL, Grand Accelerateur National d'ions Lourds

More information

CHAPTER 8 Atomic Physics

CHAPTER 8 Atomic Physics CHAPTER 8 Atomic Physics 8.1 Atomic Structure and the Periodic Table 8.2 Total Angular Momentum 8.3 Anomalous Zeeman Effect What distinguished Mendeleev was not only genius, but a passion for the elements.

More information

The No-Core Shell Model

The No-Core Shell Model The No-Core Shell Model New Perspectives on P-shell Nuclei - The Shell Model and Beyond Erich Ormand Petr Navratil Christian Forssen Vesselin Gueorguiev Lawrence Livermore National Laboratory Collaborators:

More information

Lecture 32: The Periodic Table

Lecture 32: The Periodic Table Lecture 32: The Periodic Table (source: What If by Randall Munroe) PHYS 2130: Modern Physics Prof. Ethan Neil (ethan.neil@colorado.edu) Announcements Homework #9 assigned, due next Wed. at 5:00 PM as usual.

More information

Electronic Structure Models

Electronic Structure Models Electronic Structure Models Hückel Model (1933) Basic Assumptions: (a) One orbital per atom contributes to the basis set; all orbitals "equal" (b) The relevant integrals involving the Hamiltonian are α

More information

Alpha inelastic scattering and cluster structures in 24 Mg. Takahiro KAWABATA Department of Physics, Kyoto University

Alpha inelastic scattering and cluster structures in 24 Mg. Takahiro KAWABATA Department of Physics, Kyoto University Alpha inelastic scattering and cluster structures in 24 Mg Takahiro KAWABATA Department of Physics, Kyoto University Introduction Contents Alpha cluster structure in light nuclei. Alpha condensed states.

More information

α Particle Condensation in Nuclear systems

α Particle Condensation in Nuclear systems Particle Condensation in Nuclear systems A. Tohsaki, H. Horiuchi, G. Röpke, P. Sch. T. Yamada and Y. Funaki -condensation in matter 8 Be and Hoyle state in 12 C -condensate wave function Effective GPE

More information

Investigation of Pygmy Dipole Resonance in neutron rich exotic nuclei

Investigation of Pygmy Dipole Resonance in neutron rich exotic nuclei Investigation of Pygmy Dipole Resonance in neutron rich exotic nuclei R.Avigo 1,2, O.Wieland 1, A.Bracco 1,2, F.Camera 1,2 on behalf of the AGATA and DALI2 collaborations 1 INFN, sezione di Milano 2 Università

More information

ACTAR TPC: an active target and time projection chamber for nuclear physics. 17/09/2015 T. Roger COMEX 5 1

ACTAR TPC: an active target and time projection chamber for nuclear physics. 17/09/2015 T. Roger COMEX 5 1 ACTAR TPC: an active target and time projection chamber for nuclear physics 17/09/2015 T. Roger COMEX 5 1 Nuclear structure through transfer reactions Past: structure of nuclei close to stability in direct

More information