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Close, D.A.; Malanify, J.J.; Davidson, J. P.

doi:10.1103/physrevc.17.1433

Cited by 27 publications

(26 citation statements)

References 37 publications

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“…U : 5.8514 fm. These radii were determined from the experimental rms nuclear radii 13 and relative field shifts of atomic spectra by Gagné et al [14][15][16] referred to by King. 4 We used the software package REL4D, the relativistic part of UTCHEM.…”

Section: B Relativistic Hamiltonian With the Gaussian-type Finite-numentioning

confidence: 99%

An ab initio molecular orbital study of the nuclear volume effects in uranium isotope fractionations

Abe

Suzuki

Fujii

et al. 2008

The Journal of Chemical Physics

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This paper discusses the nuclear volume dependence of uranium isotope fractionations in the U 3+ -U 4+ and U 4+ -UO 2 2+ systems by reference to a series of ab initio molecular orbital calculations. Nuclear volume-dependent terms ͑ϵln K nv ͒ in isotope fractionation coefficients ͑ϵ͒ are calculated from the energetic balance of the isotopomers involved in the systems. We used the Dirac-Coulomb Hartree-Fock ͑DCHF͒ method with the Gaussian-type finite-nucleus model. We employed three types of generally contracted Gaussian basis sets to check the basis set dependences. U isotope pair is 0.002 09 using the largest basis set, while the experimental value is 0.002 24. This paper also shows that nuclear volume effects are negligibly small on the U-O bond length and two force constants of UO 2 2+ . Hence, the molecular vibrational terms of the isotope fractionation coefficients mainly depend on the nuclear mass rather than the nuclear volume.

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Section: B Relativistic Hamiltonian With the Gaussian-type Finite-numentioning

confidence: 99%

An ab initio molecular orbital study of the nuclear volume effects in uranium isotope fractionations

Abe

Suzuki

Fujii

et al. 2008

The Journal of Chemical Physics

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“…results of Close et al (1978) and the 238U results of Cote et al (1969) in Table IV The prompt spectrum of muonic 235U is shown in Fig. 4-7, and the experimental energies and relative intensities of the principle low-energy x-ray lines of all three isotopes are listed in Table IV-5.…”

Section: Prompt Spectramentioning

confidence: 89%

Search for the gamma-branch of the shape isomers of separated U isotopes using muon for nuclide excitation

Mireshghi¹

1982

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We have searched for back-decay gainmaray~' from the shape isomeric'states in 23SU,' 236U,and 2J8U possibly excited iii muon r~diationiess tr~nsiiion. The energies ilrtd intensities of g~ rays foll~~ng muon atomi~ Ca.pt~re were measured as a function of time after muon stopping. Background was suppressed by requiring that the candidate gamma ray be followed by another gamma ray (It-capture gamma ray). The prompt gamma-ray spectra included the Umuonic x rays. The measured 23SU and 238U x-ray energies were in good agreement with previously reported results. The x-ray spectrum from 236U has not been previously reported. The '-236U spectrum is very similar to that of 238U, except that the K x-rays exhibit an isotope shift of approximately 20 kev, the 236U energies being higher.In the analysis of the delayed spectra of 236U and 238U using the GAMANL peak searching program, and with an effective lower-limit detection efficiency of .15% per stopping muon, no candidate gamma rays for the back decay transitions from the shape isomeric state were observed. However, a more sensitive hand a:nalysis of the "smoothed background-subtracted" spectra resulted in the identification of some delayed ganirriil activities close to or below the 0.15% level. Both nuclei would be produced by muon capture on ~.

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“…[ [22][23][24][25]. The default values in GRASP2 K were adopted for the other conditions or parameters described as follows.…”

Section: 2 I R ξ = (24)mentioning

confidence: 99%

Theoretical Study of Isotope Enrichment Caused by Nuclear Volume Effect

Abe

Hada

Suzuki

et al. 2014

J. Comput. Chem. Jpn.

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Isotope separation is important in industry, such as uranium enrichment. It is also very important in geochemistry and cosmo-chemistry because heavy and light isotopes are gradually fractionated in global equilibrium processes. For isotopes of heavy elements such as uranium and gadolinium, this fractionation occurs mainly owing to the difference of nuclear charge radii between the isotopes. This is because electronic states of isotopologues are different because of the difference of nuclear charge radii. Nuclear volume terms (lnKnv) in the equilibrium constants of isotope fractionations can be calculated from the electronic energy difference of isotopologues, obtained by relativistic quantum chemical calculations with finite-size nuclear models. In this review, we summarize our theoretical results in uranium isotope separations, using U (III)-U (IV) and U (IV)-U (VI) redox reaction systems. Calculated nuclear volume term (lnKnv) is reasonably close to the ones estimated from experimental analysis of temperature dependence in equilibrium constants.We used the four-component Dirac-Coulomb Hartree-Fock method with the Fermi and Gaussian-type nuclear models in our calculations. We also briefly mention how the nuclear volume effect is important in geochemistry or cosmochemistry referring to recent relevant works.

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Nuclear charge distributions deduced from the muonic atoms ofTh232,U

Cited by 27 publications

References 37 publications

An ab initio molecular orbital study of the nuclear volume effects in uranium isotope fractionations

An ab initio molecular orbital study of the nuclear volume effects in uranium isotope fractionations

Search for the gamma-branch of the shape isomers of separated U isotopes using muon for nuclide excitation

Theoretical Study of Isotope Enrichment Caused by Nuclear Volume Effect

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