A general program for computing angular integrals of the Breit-Pauli Hamiltonian

Hibbert, A; Glass, R. C.; Fischer, Charlotte Froese

doi:10.1016/0010-4655(91)90138-b

Cited by 144 publications

(109 citation statements)

References 13 publications

Supporting

Mentioning

109

Contrasting

Order By: Relevance

“…For the energy level spectra calculation, we include all two-electron interactions in the same way as it is done in conventional Breit-Pauli approximation. This similarity makes it possible to apply widely used code mchf breit [17] for angular integration of Breit-Pauli Hamiltonian matrix elements. We adopt computer program mchf mltpol [18] to determine the matrix elements of transition operators along with the code mchf lsjtr [19], which has been adopted for use with the quasirelativistic radial orbitals.…”

Section: Calculation Methodsmentioning

confidence: 98%

Significance ofM2andE3transitions for4p54
Karpuškienė¹,
Bogdanovich²,
Kisielius³
2013
Phys. Rev. A
11
1
9
0
View full text Add to dashboard Cite

Magnetic quadrupole and electric octupole transitions from the configurations 4p 5 4d N +1 and 4p 6 4d N −1 4f were calculated along with magnetic dipole, electric dipole and electric quadrupole radiative transitions in quasirelativistic Hartree-Fock approximation. Their significance in determining the metastable level radiative lifetimes was investigated along several isoelectronic sequences for the ions from Z = 50 to Z = 92. Strontium-like ions, zirconium-like ions, molybdenum-like ions and rhodium-like ions were studied comprehensively. Remaining isoelectronic sequences with the ground configuration 4d N (N = 1, 3, 5, 7, 8, 10) were also reviewed albeit in less detail. A systematic trends of determined total radiative lifetimes were studied. The importance of magnetic quadrupole and electric octupole transitions from metastable levels of ions from these isoelectronic sequences was investigated and discussed. Inclusion of such transitions of higher multipole order can change theoretical radiative lifetime values for some levels more than ten times. These cases can not be established in advance, without 'performing detailed calculations.

show abstract

Section: Calculation Methodsmentioning

confidence: 98%

Significance ofM2andE3transitions for4p54
Karpuškienė¹,
Bogdanovich²,
Kisielius³
2013
Phys. Rev. A
11
1
9
0
View full text Add to dashboard Cite

show abstract

“…In the present work we have used the CIV3 code (Hibbert 1975;Hibbert et al 1991) to compute M 1 and E 2 [Fe II] transitions between all levels of 3d 7 , 3d 6 4s and 3d 5 4s 2 configurations. Here we report on a few of them which have attracted observational and laboratory interest.…”

Section: Theoretical Methodsmentioning

confidence: 99%

Importance of level mixing on accurate [Fe II] transition rates

Deb

Hibbert

2010

A&A

View full text Add to dashboard Cite

Context. In a very recent measurement Gurell et al. (2009, A&A, 508, 525) commented that while the theoretical lifetime of a 4 G 5.5 is approximately one tenth of the lifetime of b 2 H 5.5 the corresponding measurement shows this to be close to one fifth. This large discrepancy is attributed to the effect of inadequate level mixing in the theoretical calculations. Aims. The aim of this work is to make a detailed analysis of these level mixing effects on transitions from various lower levels to the a 4 G 5.5 and b 2 H 5.5 levels given in three previous calculations and in the present more extensive CI calculation. Methods. The CIV3 structure codes of Hibbert (1975, Comput. Phys. Commun., 9, 141) and Hibbert et al. (1991, Comput. Phys. Commun., 64, 455) are used in the present work, combined with our "fine-tuning" extrapolation process.Results. The calculated mixing between the upper levels, obtained in previous calculations, is shown to be too weak. The stronger mixing determined in our work gives rise to a calculated lifetime for b 2 H 5.5 within 3% of the measured value. On the other hand our calculated lifetime for a 4 G 5.5 is around 20% lower than the measured value, which has fairly wide error bars. Conclusions. Our enhanced calculations explain the difference between previous calculations of the b 2 H 5.5 lifetime and the recent measured value and confirm the latter. We also suggest a somewhat higher value than experiment for the lifetime of a 4 G 5.5 .

show abstract

“…We have investigated two methods for generating an appropriate basis set expansion of the Ar iii ion. The first is carried out through a Breit-Pauli approach using the computer code civ3 (Hibbert 1975;Hibbert et al 1991), and secondly, using the relativistic computer code grasp0 (Parpia et al 1996). This stage of the calculation is crucially important enabling an accurate representation of both the initial target as well as the residual ion which is then to be constructed and incorporated into the R-matrix method.…”

Section: Structure Modelmentioning

confidence: 99%

Valence and L-shell photoionization of Cl-like argon using R-matrix techniques

Tyndall

Ramsbottom

Ballance

et al. 2015

Mon. Not. R. Astron. Soc.

View full text Add to dashboard Cite

Photoionization cross sections are obtained using the relativistic Dirac Atomic Rmatrix Codes (darc) for all valence and L-shell energy ranges between 27-270eV. A total of 557 levels arising from the dominant configurations 3s 2 3p 4 , 3s3p 5 , 3p 6 , 3s 2 3p 3 [3d, 4s, 4p], 3p 5 3d, 3s 2 3p 2 3d 2 , 3s3p 4 3d, 3s3p 3 3d 2 and 2s 2 2p 5 3s 2 3p 5 have been included in the target wavefunction representation of the Ar iii ion, including up to 4p in the orbital basis. We also performed a smaller Breit-Pauli (bp) calculation containing the lowest 124 levels. Direct comparisons are made with previous theoretical and experimental work for both valence shell and L-shell photoionization. Excellent agreement was found for transitions involving the 2 P o initial state to all allowed final states for both calculations across a range of photon energies. A number of resonant states have been identified to help analyze and explain the nature of the spectra at photon energies between 250 and 270eV.

show abstract

A general program for computing angular integrals of the Breit-Pauli Hamiltonian

Cited by 144 publications

References 13 publications

Significance ofM2andE3transitions for4p54
Karpuškienė¹,
Bogdanovich²,
Kisielius³
2013
Phys. Rev. A
11
1
9
0
View full text Add to dashboard Cite

Significance ofM2andE3transitions for4p54
Karpuškienė¹,
Bogdanovich²,
Kisielius³
2013
Phys. Rev. A
11
1
9
0
View full text Add to dashboard Cite

Importance of level mixing on accurate [Fe II] transition rates

Valence and L-shell photoionization of Cl-like argon using R-matrix techniques

Contact Info

Product

Resources

About

A general program for computing angular integrals of the Breit-Pauli Hamiltonian

Cited by 144 publications

References 13 publications

Significance ofM2andE3transitions for4p54Karpuškienė1, Bogdanovich2, Kisielius3 2013Phys. Rev. A11190View full textAdd to dashboardCite

Significance ofM2andE3transitions for4p54Karpuškienė1, Bogdanovich2, Kisielius3 2013Phys. Rev. A11190View full textAdd to dashboardCite

Importance of level mixing on accurate [Fe II] transition rates

Valence and L-shell photoionization of Cl-like argon using R-matrix techniques

Contact Info

Product

Resources

About

Significance ofM2andE3transitions for4p54
Karpuškienė¹,
Bogdanovich²,
Kisielius³
2013
Phys. Rev. A
11
1
9
0
View full text Add to dashboard Cite

Significance ofM2andE3transitions for4p54
Karpuškienė¹,
Bogdanovich²,
Kisielius³
2013
Phys. Rev. A
11
1
9
0
View full text Add to dashboard Cite