Isotope shift measurements in titanium I

The use of an effusive beam of titanium atoms crossed with a CW single-mode tunable dye laser has allowed the high-resolution, Doppler-free study of the isotope shifts between⁵⁰Ti,⁴⁸Ti and⁴⁶Ti, for seven 3d ² 4s ² a³ F _J 3d ² 4s 4p z ⁵ D _J , visible transitions of Ti I. The measurements show without ambiguity the existence of a non-negligible field shift. Using the values of the nuclear radii of titanium (coming from muonic X-ray measurements), it is possible to determine the respective values of the field and mass shifts.     

Isotope shift in hafnium I: Parametric analysis,ab initio calculation,and changes in nuclear charge radii

The isotope shift in the arc spectrum of hafnium was studied in 10 lines for the isotopes¹⁷⁶Hf,¹⁷⁸Hf, and¹⁸⁰Hf by means of a photoelectric recording Fabry-Perot spectrometer with digital data processing. The observed shifts together with results from an earlier study were analyzed by means of the parametric method. The field shift difference between the terms 5d ³(⁴ F) 6s ⁵ F and³ F resulted in 17(2) mK for the isotope pair^178,180Hf. This reflects the influence of a second-order effect which is described by the parameterg ₂=?4.4(6) mK. The parameterz _5d , displaying the magnitude of spin-dependent effects in the isotope shift of 5d ³6s, was found to be 0.8(2) mK for the same isotope pair. The experimental data are compared with results obtained from the non-relativistic Hartree-Fock method. The calculated electron densities describe the experimental field shifts with good accuracy. Hartree-Fock screening ratios for various types of transitions were used to evaluate changes in mean-square nuclear charge radii. The mean value ofλ ^178,180≈δ〈r ²〉^178,180 equals 0.069(10) fm².     

Optical isotope shifts and changes in nuclear charge radii of stable Ti isotopes

Isotope shifts and hyperfine structures in three optical transitions of TiI have been investigated by using laser induced resonance fluorescence in a collimated atomic beam. From the isotope shifts data, changes of the mean square charge radii of the stable titanium isotopes have been determined for the first time. Using a combined analysis with muonic atom data on root mean square nuclear charge radii, improved model independent r ^21/2 values for the odd-even Ti isotopes have been obtained.     

Study of the hyperfine structure of Titanium atom by laser induced fluorescence on an atomic beam

Within the framework of systematic hyperfine structure (hfs) investigation of titanium atom the hfs splitting of 3d ³4s ³H_4,5,6 levels for two stable isotopes ⁴⁷Ti and ⁴⁹Ti have been measured by laser induced fluorescence. Experimental hfs constants A _exp and B _exp have been determined. The hfs measurements confirm an existence of a significant spin-dependent interaction effect on hfs structure of the level 3d ³ 4s ³H₄.     

Optical isotope shifts in titanium I: new measurements

The optical isotope shifts between ⁴⁶Ti, ⁴⁸Ti and ⁵⁰Ti have been measured for eight 3d ³ 4s a ⁵F-3d ² 4s 4p y ³ F lines of titanium by use of a Doppler-free experiment. By contrast with the positive shifts previously measured for 3d ² 4s ² a ³ F-3d ² 4s 4p z ⁵ D lines, these shifts are negative and reveal the presence of large negative specific mass shifts attributed to a d-p electron jump. The interpretation of the present measurements and of former ones is made by means of Hartree-Fock calculations.     

Hyperfine structure investigation on the (3d 4)3 G 4,5 levels of47Ti

Using two-step laser spectroscopy with the sideband technique the hyperfine structure (hfs) splittings of the levels (3d ⁴)³ G _4,5 in⁴⁷Ti have been measured. These are the first hfs measurements of the levels belonging to the 3d ^N+2 configuration of the system (3d+4s) ^N+2. The experimental results indicate a strong increase of the core polarization effect due to excitation of both 4s-electrons to the open 3d-shell.     

Lifetime measurements and stark mixing of autoionizing Cu I-states

Using a combination of collisional and laser excitation the lifetimes of 17 autoionizing Cu I states in the configurations 3d ⁹ 4s 6s and 3d ⁹ 4s4d were measured. The lifetimes are in the range of 1–50 ps and depend strongly on the coupling properties, the mixing with different configurations, and the radial integrals of the discrete with the continuum states. For the level 3d ⁹ 4s 4d ⁴ S _3/2 the influence of an electric field via Stark mixing of 3d ⁹ 4s 5p ⁴ P _1/2 on the autoionizing rate was investigated. The experimental values are compared with theoretical results which follow from ab initio calculations for the transition probabilities and least square fit values deduced from the experimental positions. Good agreement is found only for theJ=3/2 levels of both configurations 3d ⁹ 4s 4d and 3d ⁹ 4s 6s.     

Precise determination of the ground state hyperfine structure splitting of43Ca II

Within the framework of systematic hyperfine structure (hfs) investigation of titanium atom the hfs-splittings of 3d ³(² G)4s b ¹ G ₄ levels for two stable isotopes⁴⁷Ti and⁴⁹Ti have been studied. 5 hfs intervals for each isotope have been measured using ABMR-LIRF method (atomic beam magnetic resonance detected by laser induced resonance fluorescence) with an accuracy of about 300 Hz. TheJ-off-diagonal second order perturbation effects have been taken into account in the interpretation. Upper limit of the contributions from octupole and hexadecapole hyperfine structure interaction to hfs intervals of this level have been estimated to be about 400 Hz. However, for most of hfs intervals these contributions are almost within experimental error and in order to study such effects a more precise experimental method should be used.     

Isotope shift in titanium atom

Isotope shifts in ten optical transitions of Ti atom have been investigated by using laser induced fluorescence on a collimated atomic beam. From the isotope shifts data, using a combined analysis with muonic atom data, specific mass shifts and field shifts have been determined and corrected values of changes of the mean square nuclear charge radii have been obtained.     

Hyperfinestructure and isotope shift in the configuration 4f 7 6s8s of Eu I

The investigation of the isotope shift (IS) and hyperfine structure (hfs) is extended from Eu 4f ⁷ 6s7s to the complete configuration 4f ⁷ 6s8s, by means of the transitions 432.3, 456.5, 463.0 and 493.8 nm to 4f ⁷ 6s6p. A thorough experimental and theoretical analysis — including two further lines 492.8 and 498.7 nm from 4f ⁷ 5d ² — is carried out which e.g. confirms former fine structure calculations of one of us (J.F.W.) concerning some reclassifications. The discussion of the IS of the four levels (4f ⁷)6s8s with the sharing rule manifests again the need for inclusion of crossed-second-order effects. For the parameters we evaluated:g ₃(4f, 6s)=?1, 2(2) mK andd=79, 3(1.0) mK. The ratiog ₃/G ₃=?5, 9(1.0)·10^?6 is again in full agreement with those found by us in other Eu configurations. The single electron hfs splitting constantsa _4f ¹⁰ =?2, 3(4) mK,a _6s ¹⁰ =389(4) mK anda _8s ¹⁰ =49 (4) mK were also evaluated and compared to those found in 4f ⁷ 6s7s.     

Hyperfine structure in 5s 4d 3 D —5snf transitions of87Sr

The hyperfine spectra of the 5s4d ³ D ₁-5s20f, 5s4d ³ D ₂-5s23f, and 5s 4d ³ D ₃-5s32f transitions of⁸⁷Sr (I=9/2) have been measured by collinear fast beam laser spectroscopy. The structure in the upper configurations is highly perturbed by fine structure splitting that is of comparable size to the hyperfine interaction energy. These perturbations can be adequately treated with conventional matrix diagonalization methods, using the 5s-electron magnetic dipole interaction terma _5s and the unperturbed fine structure splittings as input parameters. Additionally, hyperfine constants for the lower 5s4d ³ D configurations, including theA- andB-factors and a separation of the individuals- andd-electron contributions to these factors, are derived.     

On the hyperfine structure and isotope shift of radium

The hyperfine structure and isotope shift of the heaviest known alkaline earth element radium (Z=88) have been studied in both the atomic Ra I and ionic Ra II spectra. The measurements, carried out by on-line collinear fast-beam laser spectroscopy, yield the hyperfine constantsA andB of the 7s and 7p _1/2 states in Ra II, of all states of the excited 7s 7p configuration and the 7s 7d ³ D ₃ state in Ra I. The data allow a consistent evaluation of the nuclear moments for eight odd-A radium isotopes. In particular, a complete analysis of the hyperfine structure of thesp configuration in the two-electron system provides a stringent test of the validity of the semi-empirical modified Breit-Wills theory. It is shown that the effective operator formalism is equivalent, if relativistic correction functions are used to reduce the number of parameters. The semi-empirical hyperfine fields are evaluated and found to agree generally with those from ab-initio calculations. The isotope shifts in thes?p,s ²?sp,sp?sd transitions are analysed semi-empirically and compared with ab-initio calculations. The consistency of the different analyses proves their validity and classifies the spectrum of Ra I as a model case for a simple and clean two-electron spectrum.     

Field shifts in hafnium II

By means of classical interference spectroscopy, using enriched isotope samples, the isotope shift between¹⁷⁸Hf and¹⁸⁰Hf has been measured for 33 transitions in the Hf II spectrum. For the pure Russell-Saunders terms 5d ²6s ⁴ F and² F the parametric analysis yields a field-shift difference of 17(2) mK produced by the second-order interaction of the electrostatic operator and the field-shift operator. Semi-empirical calculations based on the non-relativistic Hartree-Fock method reproduce this value as well as the experimental field shifts if a factor of 1.68(6) is used to scale theab initio electron densities at the nucleus. The corresponding factor for the Hf atom is much smaller. This leads to a re-evaluation of screening ratios for Hf and to a more accurate value of the nuclear parameter λ^178,180 (Hf)=0.072(4) fm².     

Collision energy dependence of He and Ne capture by C 60 +

The hyperfine structure and the isotope shifts in the optical transition of HfI with λ=5903 Å have been investigated using high resolution laser spectroscopy. The magnetic dipole and electric quadrupole hyperfine splitting constants of the lower 5d ² 6s ² a ³ F ₃ and upper 5d ² 6s 6p z ⁵ G ₃ ⁰ levels have been determined for the two stable odd hafnium isotopes¹⁷⁷Hf and¹⁷⁹Hf.     

Crossed-second-order-effects of the isotope shift and hyperfine-structure parameters in the Eu I configuration 4f 7 6s6d

In the Eu I configuration 4f ⁷ 6s6d the isotope shift (IS) and hyperfine-structure (hfs) of the termse ⁶ D ande ¹⁰ D were determined from fourteen transitions (4f ⁷ 6s6d-4f ⁷ 6s6p) with computer supported interference spectroscopy. From the IS of altogether nine levels of 4f ⁷ 6s6d the crossed-second-order-parameterg ₃(4f,6s)=?0.90(6)mK was evaluated. The ratiog ₃/G ₃=?4.4(3)·10^?6 (G ₃: Slater Integral of the fine structure) is of the same size as that from five other independent investigations and one theoretical value. The single electron hfs splitting constantsa _4f ¹⁰ =?1.9(3)mK,a _6s ¹⁰ =391(3)mK, anda _6d ¹² =0.9(3)mK were also evaluated and are compared with those of other Eu 4f ⁷ 6snl configurations.     

Parametric analysis andab initio calculation of isotope shifts in rhenium I

The isotope shift in the arc spectrum of rhenium was studied in 12 lines for the highly enriched isotopes¹⁸⁵Re and¹⁸⁷Re by means of a photoelectric recording Fabry-Perot spectrometer with digital data processing. The observed shifts together with results from earlier studies were analyzed by means of the parametric method. The field shift difference between the terms 5d ⁶(⁵ D)6s ⁶ D and⁴ D was found to be 40 (5) mK, showing the influence of second-order effects. The parameterz _5d , displaying the magnitude of spin-dependent effects in 5d ⁶6s, was found to be 1.3 (8) mK. The experimental data are compared with results from non-relativistic Hartree-Fock calculations. The calculated electron densities describe the measured isotope shifts with good accuracy.     

High resolution spectroscopy of iridium in a hollow cathode discharge

We demonstrate the possibility of performing high resolution laser spectroscopy of iridium atoms produced by sputtering in a hollow cathode discharge. By resolving the hyperfine structure of ultraviolet transitions from the ground state, we measure the magnetic dipole and electric quadrupole constants of the 5d ⁷ 6s 6p ⁶ G _11/2 and 5d ⁷ 6s 6p ⁶ F _7/2 excited levels and we obtain accurate values for the isotope shifts. Iridium is also discussed as possibly providing reference spectra in the 243 nm region, close to the wavelength of the 1s–2s two-photon transition of hydrogen.     

Case studies in multiphoton ionisation and dissociation of Na2

Dissociative ionisation of Na₂ via the 3s 3d ¹Σ _g and¹Π _g states has been studied in the near threshold energy regime up to 120 meV above the three particle (Na⁺ + Na(3s) +e ^?) break up limit. A pulsed, cold molecular beam, pulsed laser 2 colour 3 photon resonantly enhanced multiphoton ionisation, and kinetic energy analysis of the fragments by a time of flight method (KETOF) is used. As series of vibrational levels in the two intermediate 3s 3d Rydberg states are excited, slow Na⁺ fragments are observed with a maximum kinetic energy given by the excess energy of the 2 + 1 photon process above threshold, thus confirming a direct dissociative ionisation process. The intensity distribution of the Na⁺ fragments shows a very pronounced maximum at zero kinetic energy, its shape differing somewhat for the¹Σ _g and¹Π _g intermediate states. Also observed is a strong signal of fast fragments arising from a typical 4 photon process which leads to dissociation of Na ₂ ⁺ molecules in their electronic ground state.     

Sternheimer free determination of the47Ti nuclear quadrupole moment from hyperfine structure measurements

The hyperfine structure (hfs) of 12 metastable states of⁴⁷Ti has been measured by laser induced fluorescence. 11 of these states have been measured additionally very precisely by a laser-rf double resonance method. Taking into account results of earlier hfs measurements, the hfs of altogether 17 fine structure states has been analyzed by the simultaneous parametrization of the one- and two-body interactions in the atomic hfs for the model space (3d+4s) ^N+2 (N=2). This gives 16 parameters for the magnetic dipole interaction and 12 parameters for the electric quadrupole interaction. From the model space parameters, obtained from the hfs fit, the nuclear quadrupole momentQ(⁴⁷Ti)=0.303(24b), has been evaluated at the first time; it is free of Sternheimer corrections up to second order.