Thesis (Ph.D.)--Texas Christian University, 2008. / Title from dissertation title page (viewed Aug. 25, 2008). Includes abstract. Includes bibliographical references.

Thesis (M. Sc.)--York University, 2001. Graduate Programme in Physics and Astronomy. / Typescript. Includes bibliographical references (leaves 119-126). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://wwwlib.umi.com/cr/yorku/fullcit?pMQ66411.

This thesis is concerned with the measurement and interpretation of isotope shifts. The first part describes an experimental determination of isotope shifts in the 4s^{2 1}S<subo</sub> - 4s5s¹ S_o transition of neutral calcium. This measurement was performed using the method of Doppler-free two-photon absorption spectroscopy in an atomic beam of the natural mixture of calcium isotopes. The laser was stabilized and scanned by means of an external, pressure-swept etalon, and its scan was calibrated by recording the transmission fringes of the laser through a confocal etalon, 2m in length. This calibration etalon was stabilized with reference to an I₂-stabilized Helium- Neon laser. The isotope shifts of all the stable isotopes of calcium were measured; the results are believed to be free from systematic error and so the standard deviations are derived from the scatter of the results. A Isotope Shift ^δv^A-44/MHz 40 -1169.99(28) 42 -563.66(7) 43 -263.67(6) 46 534.34(70) 48 1023.50(7) These results are compared with other accurate measurements of isotope shifts in calcium by laser spectroscopy, by means of the King plot. All the measurements are consistent except for the only odd isotope ⁴³Ca, which, in this transition, unlike those in the other experiments, is free from hyperfine structure. The best values of the isotope shifts are thus determined by a least squares procedure. The mass and field shifts are separated using the values of δ<r²> determined from muonic isotope shifts, and this leads to more accurate values of δ<r²>. The second part of the thesis concerns the interpretation of anomalous isotope shifts in samarium. Pairs of spectral lines had been found for which the shifts of even-even isotopes did not lie on a straight line on a King plot. These deviations are interpreted as evidence for the insufficiency of first-order perturbation theory for the treatment of isotope shifts in a number of levels of the samarium spectrum. By comparing shifts in transitions connecting these levels with shifts in transitions connecting levels for which first-order perturbation theory appears to be a good approximation, values of off-diagonal matrix elements are found. These are not required to be unreasonably large to explain the observed deviations.

We perform high precision measurements of an isotope shift between the two stable isotopes of helium. We use laser excitation of the 2^3 S_1-2^3 P_0 transition at 1083 nm in a metastable beam of 3He and 4He atoms. A newly developed tunable laser frequency selector along with our previous electro-optic frequency modulation technique provides extremely reliable, adaptable, and precise frequency and intensity control. The intensity control contributes negligibly to overall experimental uncertainty by stabilizing the intensity of the required sideband and eliminating the unwanted frequencies generated during the modulation of 1083 nm laser carrier frequency. The selection technique uses a MEMS based fiber switch and several temperature stabilized narrow band (~3 GHz) fiber gratings. A fiber based optical circulator and an inline fiber amplifier provide the desired isolation and the net gain for the selected frequency. Also rapid (~2 sec.) alternating measurements of the 2^3 S_1-2^3 P_0 interval for both species of helium is achieved with a custom fiber laser for simultaneous optical pumping. A servo-controlled retro-reflected laser beam eliminates residual Doppler effects during the isotope shift measurement. An improved detection design and software control makes negligible subtle potential biases in the data collection. With these advances, combined with new internal and external consistency checks, we are able to obtain results consistent with the best previous measurements, but with substantially improved precision. Our measurement of the 2^3 S_1-2^3 P_0 isotope shift between 3He and 4He is 31 097 535.2 (5) kHz. The most recent theoretic calculation combined with this measurement yields a new determination for nuclear size differences between 3He and 4He: ∆r_c=0.292 6 (1)_exp (8)_th (52)_exp fm, with a precision of less than a part in 〖10〗^4 coming from the experimental uncertainty (first parenthesis), and a part in 〖10〗^3 coming from theory. This value is consistent with electron scattering measurement, but a factor of 10 more precise. It is inconsistent (4 sigma) with a recent isotope shift measurement on another helium transition (2^1 S_0-2^3 S_1). Comparisons with ongoing muonic helium measurements may provide clues to the origin of what is currently called the proton puzzle: electronic and muonic measurements of the proton size do not agree. In the future, the experimental improvements described here can be used for higher precision tests of atomic theory and quantum electrodynamics, as well as an important atomic physics source of the fine structure constant.

At present several groups are analysing quasar absorption spectra to search for variation of the fine structure constant, alpha, across space and time. These studies compare the wavelengths of several transitions observed in the absorption clouds with those seen in the laboratory, and interpret anomalies as variation in alpha. One group has already presented evidence that alpha may have been smaller at an early epoch. Other groups using different telescopes see no variation. These studies use the ???many-multiplet??? method, which relies on the utilisation of many transitions in many ions to enhance the size of the effects and remove sources of systematic error. While this method offers an order-of-magnitude improvement in sensitivity over the previously used alkali-doublet method, the alpha-dependence (relativistic shift) of every transition used in the analysis must be calculated ab initio. In this thesis we present a method for the precise calculation of relativistic shifts, based on an energy calculation involving combination of the configuration interaction method and many-body perturbation theory. The many-multiplet method also introduces a potential systematic error: if the relative isotope abundances of the absorbers differ from terrestrial abundances then there can be spurious shifts in the measured wavelengths, which may be incorrectly interpreted as variation of alpha. A ???conspiracy??? of several isotopic abundances may provide an alternative explanation for the observed spectral anomalies. To account for these systematic errors we need accurate values of the isotope shift. We calculate these shifts using the finite-field method to reduce the problem to that of an energy calculation, which in turn is done using the same method used for the relativistic shift. We present the results of our calculations for a variety of atoms and ions seen in quasar absorption spectra. The results of this research should allow astrophysicists to measure isotope abundances in the absorbers directly. This can provide a test for models of nuclear reactions in stars and supernovae, and of the chemical evolution of the Universe. Our calculations can also be used in conjunction with measurements to extract changes in nuclear charge radii between isotopes.

At present several groups are analysing quasar absorption spectra to search for variation of the fine structure constant, alpha, across space and time. These studies compare the wavelengths of several transitions observed in the absorption clouds with those seen in the laboratory, and interpret anomalies as variation in alpha. One group has already presented evidence that alpha may have been smaller at an early epoch. Other groups using different telescopes see no variation. These studies use the ???many-multiplet??? method, which relies on the utilisation of many transitions in many ions to enhance the size of the effects and remove sources of systematic error. While this method offers an order-of-magnitude improvement in sensitivity over the previously used alkali-doublet method, the alpha-dependence (relativistic shift) of every transition used in the analysis must be calculated ab initio. In this thesis we present a method for the precise calculation of relativistic shifts, based on an energy calculation involving combination of the configuration interaction method and many-body perturbation theory. The many-multiplet method also introduces a potential systematic error: if the relative isotope abundances of the absorbers differ from terrestrial abundances then there can be spurious shifts in the measured wavelengths, which may be incorrectly interpreted as variation of alpha. A ???conspiracy??? of several isotopic abundances may provide an alternative explanation for the observed spectral anomalies. To account for these systematic errors we need accurate values of the isotope shift. We calculate these shifts using the finite-field method to reduce the problem to that of an energy calculation, which in turn is done using the same method used for the relativistic shift. We present the results of our calculations for a variety of atoms and ions seen in quasar absorption spectra. The results of this research should allow astrophysicists to measure isotope abundances in the absorbers directly. This can provide a test for models of nuclear reactions in stars and supernovae, and of the chemical evolution of the Universe. Our calculations can also be used in conjunction with measurements to extract changes in nuclear charge radii between isotopes.

The energy density formalism (EDF) is used to investigate two problems. The EDF is a phenomenological method that incorporates as much knowledge of infinite nuclear matter as possible. In this formalism the energy of the nucleus is expressed as a functional of its density. The nucleus energy is obtained by minimizing the function, with respect to the density. In this report, the EDF is used to investigate the mercury isotope shift anomaly following the aforementioned suggestion. Specifically, nucleon densities with different degrees of central depression are generated. Energies corresponding to these densities are obtained. The density with the minimum energy is the preferred one. Based on the findings of the present work, it can be concluded that a central depression in the lighter mercury isotopes does not-appear- to be a possible explanation for the isotope shift anomaly. And the anomaly remains unresolved.

Quand les effets de la masse finie du noyau et de la distribution de charge spatiale sont pris en compte dans l’Hamiltonien décrivant un système atomique, les isotopes d’un élément, caractérisés par le même nombre de protons mais un nombre différent de neutrons, ont des niveaux d’énergie électronique différents. Le déplacement entre les niveaux d’énergie (pour un même état quantique) de deux isotopes différents est appelé le déplacement isotopique de niveau. De manière générale, on peut distinguer les déplacements isotopiques de champ (field shift) et les déplacements isotopiques de masse (mass shift). Pour les systèmes à plus d’un électron, le specific mass shift (SMS) apparaît. Grâce à sa faible pondération, le paramètre SMS peut être traité comme une perturbation de l’Hamiltonien ;son estimation fait appel aux intégrales de Vinti [5].<p>Dans un contexte relativiste, les programmes grasp2K [2] et mcdf-gme [1] permettent de résoudre les équations de Dirac-Fock associées à un état multiconfigurationnel et d’en fournir l’énergie ainsi que la représentation numérique des orbitales monoélectroniques. Nous avons créé et introduit dans le programme mcdf-gme une sous-routine capable d’estimer les paramètres de masse et de champ à partir des fonctions d’onde multiconfigurationnelles. Pour le programme GRASP2K, un module indépendant à été créé. <p>Par ailleurs, un opérateur plus complet impliquant des corrections en αZ, a été dérivé par Shabaev [4] et, de manière indépendante, par Palmer [3]. Nous avons déduit la forme tensorielle de cet opérateur et avons également implémenté dans les programmes cités ci-dessus le calcul de ses éléments de matrice.<p>Grâce à ces outils nous avons pu étudier la détérioration de l’opérateur d’énergie cinétique pour estimer le normal mass shift et travailler divers systèmes comme le lithium neutre et sa séquence isoélectronique. Par la suite nous avons également travaillé sur les séquences isoélectroniques du bore, du béryllium, du carbone et de l’azote. Enfin, certains effets isotopiques ont été étudiés pour plusieurs transitions dans le baryum neutre.<p>Bibliographie<p>[1] J. P. Desclaux. A relativistic multiconfiguration Dirac-Fock package. In E. Clementi, editor, Methods and Techniques in Computational Chemistry - vol. A :Small Systems of METTEC, page 253. STEF, Cagliari, 1993.<p>[2] P. Jönsson, X. He, C. Froese Fischer and I. P. Grant. The GRASP2K relativistic atomic structure package. Comput. Phys. Commun. 177 :597–622, 2007.<p>[3] C. W. P. Palmer. Reformulation of the theory of the mass shift. J. Phys. B :At. Mol. Phys. 20 :5987–5996, 1987.<p>[4] V. M. Shabaev and A. N. Artemyev. Relativistic nuclear recoil corrections to the energy levels of multicharged ions. J. Phys. B :At. Mol. Phys. 27 :1307–1314, 1994.<p>[5] J. P. Vinti. Isotope shift in magnesium. Phys. Rev. 56 :1120–1132, 1939. / Doctorat en Sciences de l'ingénieur / info:eu-repo/semantics/nonPublished

The first aim of this thesis is to perform relativistic calculation of atomic and ionic polarizabilities and two-photon decay rates. Hydrogenic systems are treated by the Lagrange-mesh method. The extension to alkali-like systems is realized by means of a semiempirical-core-potential approach combined with the Lagrange-mesh method. The studied systems are partitioned into frozen-core electrons and an active valence electron. The core orbitals are defined by a Dirac-Hartree-Fock (DHF) calculation using the GRASP2K package. The valence electron is described by a Dirac-like Hamiltonian involving a core-polarization potential to simulate the core-valence electron correlation. Polarizabilities appear in a large number of fields and applications, namely in cold atoms physics, metrology and chemical physics. Two-photon transitions are part of a priori highly unlikely processes and are therefore called forbidden radiative processes. Experimental situations report decays from metastable excited states through these channels. Long lifetimes were measured for highly charged Be-like ions in recent storage-ring experiments, but their interpretation is problematic. The study of the competition between forbidden (one-photon beyond the dipole approximation, or multi-photon) and unexpected (hyperfine-induced or induced by external magnetic fields) radiative processes is all obviously relevant. The second aim of this thesis is to perform relativistic ab initio calculations of electronic isotope-shift (IS) factors by using the multiconfiguration DHF (MCDHF) method implemented in the RIS3/GRASP2K and RATIP program packages. Using the MCDHF method, two different approaches are adopted for the computation of electronic IS factors for a set of transitions between low-lying levels of neutral systems. The first one is based on the estimate of the expectation values of the one- and two-body nuclear recoil Hamiltonian for a given isotope, including relativistic corrections derived by Shabaev, combined with the calculation of the total electron densities at the origin. In the second approach, the relevant electronic factors are extracted from the calculated transition shifts for given triads of isotopes. These electronic quantities together with observed ISs between different pairs of isotopes provide the changes in mean-square charge radii of the atomic nuclei. Within this computational approach for the estimation of the mass- and field-shift factors, different models for electron correlation are explored in a systematic way to determine a reliable computational strategy, and to estimate theoretical error bars of the IS factors. / Doctorat en Sciences de l'ingénieur et technologie / info:eu-repo/semantics/nonPublished

<p>Cette thèse est consacrée à l'étude des effets isotopiques dans les atomes neutres et ions négatifs. En particulier, nous ciblons notre recherche sur le calcul ab initio des déplacements isotopiques (DI) sur les électroaffinités des éléments des blocs p des deuxième et troisième périodes (B à F et Al à Cl). Ces derniers sont les systèmes les plus susceptibles d'être l'objet d'études expérimentales de haute précision.</p><p><p><p>Le premier chapitre se concentre sur une étude didactique du problème atomique et des effets isotopiques. Nous concluons par une description détaillée des motivations de notre thèse.</p><p><p><p>Le second chapitre présente le modèle Hartree-Fock (HF) et son extension multi-configurationelle (MCHF). Nous y énonçons le théorème de Brillouin et sa généralisation à un ansatz MCHF. Pour ce faire, nous formulons de manière originale le principe d'invariance d'une fonction d'onde CAS (Complete Active Set) par rapport aux rotations d'états d'orbitales. De cette formulation, nous caractérisons la famille des solutions CAS n'interagissant pas avec une fonction d'état de configuration (CSF) particulière et démontrons sa multiplicité. Finalement, nous appliquons notre technique d'analyse à l'étude de modèles concrets et prédisons l'apparition de minima locaux correspondant à chacune de ces solutions GBT. Introduisant le concept de quasi-symétrie de la fonctionnelle d'énergie, nous expliquons l'origine de fortes perturbations du "coeur" atomique dans des modèles particuliers.</p><p><p><p>Les troisième et quatrième chapitres fournissent les outils méthodologiques de base utilisés dans la deuxième partie de notre thèse qui présente des résultats quantitatifs originaux.</p><p><p><p>Le cinquième chapitre traite des DI et structures hyperfines des termes les plus bas de S, S-, Cl, Cl-, Si et Si-.</p><p><p><p>Dans le sixième chapitre, nous rapportons un profond désaccord entre théorie et expérience au sujet de la structure hyperfine de transitions de l'azote dans le infrarouge lointain. Nous montrons que les simulations basées sur nos valeurs de constantes isotopiques sont compatibles avec les spectres enregistrés moyennant une réassignation des raies faibles à des signaux de "cross-overs". Sur cette base, nous déduisons un nouvel ensemble de constantes hyperfines pour les états considérés, en bon accord avec nos valeurs théoriques, en nous basant uniquement sur les données expérimentales.</p><p><p><p>Le septième chapitre est une étude globale des configurations de plus basse énergie du C et C- (i.e. tous les états liés de ce dernier). Par une étude détaillée de nos incertitudes, nous obtenons des estimations très fiables et de grande précision pour un ensemble de propriétés. En particulier, nous présentons les valeurs de structure fine et hyperfine du C-, ainsi que les probabilités de transitions intra-configurationelles fournissant une base solide pour l'étude spectroscopique de ce système.</p><p><p><p>Dans le huitième chapitre, nous étudions la périodicité du déplacement spécifique de masse sur l'électroaffinité dans le Tableau Périodique des Eléments. Nous avançons les contributions dominantes qui interviennent dans cette grandeur et analysons les principales limitations des techniques de calcul actuelles dans ce contexte.</p><p><p><p>Nous présentons nos conclusions générales et les perspectives de notre travail dans le neuvième chapitre.</p><p><p><p> / Doctorat en Sciences / info:eu-repo/semantics/nonPublished