2 edition of **Quantal calculations on the helium isoelectronic sequence and on impact excitation of hydrogen.** found in the catalog.

Quantal calculations on the helium isoelectronic sequence and on impact excitation of hydrogen.

Robert Charles Perrin

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Published
**1964**
.

Written in English

**Edition Notes**

Thesis (Ph. D.)--The Queen"s University of Belfast, 1964.

The Physical Object | |
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Pagination | 1 v |

ID Numbers | |

Open Library | OL19799583M |

years: current Publications: T. Mukoyama and C. D. Lin " Calculations of K-shell ionization cross sections by charged particles in the distortion approximation using pseudostates", Phys. Rev. A40, (). lations of helium and its isoelectronic atoms to see how ac-curately the free ICI method works for solving the SE. Be-cause of the existence of the accumulated history of the accurate calculations of helium atom as overviewed above, we can formulate our free ICI calculations effectively and examine the accuracy of our results in great detail.

The relativistic many-body perturbation-theory calculations have been performed on the helium atom and ions of the helium isoelectronic sequence up to [ital Z]= The contribution of the low-frequency Breit interaction to the relativistic correlation energy is examined for the helium isoelectronic sequence. Variational calculations are reported for the ground state of the helium isoelectronic series. An ansatz is introduced and it achieves an accuracy comparable to that hitherto achieved only with basis functions containing logarithmic terms.

Dirac R--matrix calculations of electron--impact excitation of neon--like krypton. Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions. T-matrix calculations for the electron-impact ionization of hydrogen in the Temkin-Poet model. PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS. CHIANTI is an atomic database and software package for modeling emission lines and continua from hot astrophysical plasmas. It is freely available to all researchers and has been widely used in the Heliophysics and Astrophysics communities for almost 25 years. In this review, we summarize the properties of the current version of the database and give an overview of the relevant atomic processes.

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Rate coefficients for electron impact excitation, de-excitation, and total depopulation of the excited ions Co(XVII) up to Br(XXV) of the sodium isoelectronic sequence are calculated according to.

Calculations on the ground states of the helium isoelectronic series are carried out using variational wavefunctions of the form ψ (x,y), in which x and y are the combinations r 1 + r 2 ± r 12 occurring in the Coulomb Green's results for helium are the most accurate to date using a two-variable wavefunction accounting for % of the correlation by: 1.

The upper curve in the inset adds six-state close-coupling calculations of excitation of 21 substates (Henry, ) to the direct ionization. 10 0 probable for the Na-isoelectronic sequence, where there is one easily removable 3s electron to contribute to direct ionization, but there are eight L-shell electrons that can contribute readily to Cited by: Details.

Snapshot 1: the simplest one-parameter variational approximation for the helium atom. Snapshot 2: to demonstrate the stability of the hydride ion (energy less than hartree) requires at least three basis functions. Snapshot 3: for higher atomic numbers, such as, simple functions give relatively accurate energies.

Reference: H. Bethe and E. Salpeter, Quantum Mechanics of One. The electron impact single ionization cross sections on a number of targets with atomic number Z =1–92 in the H and Li isoelectronic sequences are calculated using a modified version of the.

Cross sections for electron-impact ionization from the ground states of four ions in the helium isoelectronic sequence have been calculated in the distorted-wave Born-exchange approximation. The helium atom and isoelectronic ions which illustrate the properties of few-electron atoms and ions, are examples of great importance.

Pedagogically, they are the text-book [1, 2] problems to illustrate the perturbative and variational approaches in quantum mechanics, and the properties of many-electron atoms and demonstrate the usefulness of these approaches and the.

The helium atom and isoelectronic ions which illustrate the properties of few-electron atoms and ions, are examples of great importance. Pedagogically, they are the text-book [1, 2] problems to illustrate the perturbative and variational approaches in quantum mechanics.

A differential cross section formula for the 1 1S → 2 1S excitation of ions belonging to the helium isoelectronic sequence by electron impact has been obtained in the Coulomb-Born approximation.

This chapter lists content of different volumes in the series of Advances in Atomic Molecular and Optical book consists of 55 Volumes including subjects, such as Direct Frequency Comb Spectroscopy, Collisions, Correlations, and Integrability in Atom Waveguides, Characterization of Single Photons Using Two-Photon Interference, The Quantum Properties of.

The 2(1,0)n-1P°, 2(1,0)n +3P°, 2(0,1)n+1P°, and 2(0,1)n-3P° intershell Rydberg series of the helium-like ions are investigated in the framework of the modified Atomic Orbital Theory (MAOT). High-lying energy resonances of He and excitation energy of the he- lium-like Li+ up to n = 10 are tabulated.

In addition, total energy positions for low-lying states (n1,3P° autoionizing states of two. Physical properties.

The helium hydrogen ion is isoelectronic with molecular hydrogen (H 2). Unlike the dihydrogen ion H + 2, the helium hydride ion has a permanent dipole moment, which makes its spectroscopic characterization easier. The calculated dipole moment of HeH + is or D.

The electron density in the ion is higher around the helium nucleus than the hydrogen. 80% of the. cross sections for hydrogen in excellent agreement with ex-periment @5#. In addition, close-coupling calculations have now been carried out for the direct-ionization cross sections of He @6,7#, atomic ions in the Li isoelectronic sequence @8–12#, and atomic ions in the Na isoelectronic sequence @13#.

Bounds to the 11S to 21P and 23S to 23P transition integrals of the helium isoelectronic sequence have been calculated using a procedure described recently (see ibid., vol.8, p ()).

Fock calculations of the 4d ‐ 4f energy separation in Li I,’ Safronova, Fischer, and Ralchenko, PRA • ‘Electron ‐ impact excitation and ionization cross sections for ground state and excited state helium atoms,’ Ralchenko et al., At. Data and Nucl. Data Tables •‘.

The first two terms in the Z-expansion of matrix elements of the electric dipole transition operator for all 1snl 1,3 L-1sn'l' 1,3 L' transitions in the helium isoelectronic sequence with n,n'. The unified method described previously for combining high-precision nonrelativistic variational calculations with relativistic and quantum electrodynamic corrections is applied to the 1s 2 1 S 0, 1s2s 1 S 0, 1s2s 3 S 1, 1s2p 1 P 1, and 1s2p 3 P 0,1,2 staters of helium-like ions.

Detailed tabulations are presented for all ions in the range 2 ≤ Z ≤ and are compared with a wide range of. ELECTRON IMPACT EXCITATION OF POSITIVE IONS 97 Recent work by Haddad and McWhirter () on the excitation of the lithium-like ion Ne VIII differs from earlier work (Boland et al., ) on the isoelectronic case of N V in that a theta-pinch is used (ZETA was used in the earlier work), and this means that the electron density is higher.

Excitation cross sections are calculated up to 30 eV from the 1 1 S ground state and the metastable 2 3 S and 2 1 S states of helium to the higher n=2 states, and, for the first time in an ab initio calculation, to the n=3 states. The authors confirm their preliminary finding that the explicit coupling of the n=3 channels significantly reduces.

@article{osti_, title = {Variational calculation of the single-particle density matrix and momentum density for the helium ground-state isoelectronic sequence}, author = {Sahni, V and Krieger, J B and Gruenebaum, J}, abstractNote = {A recently developed variational formalism for the determination of the reduced single-particle density matrix, correct to second order, is applied to the.

compare our results with some previous calculations done by other authors in section 4. 2. Variational Calculations The Schrödinger equation for the helium atom, or the positive ions or the negative hydrogen ion of the isoelectronic sequence is = (1) Where the Hamiltonian is given by =−.Frank E.

Harris, Victor V. Albert, in Advances in Quantum Chemistry, 5 Results: three-body problems. The helium atom and its isoelectronic series provide an excellent set of three-body problems for the application of exponentially correlated wavefunctions. In all the computations reported here, the nuclei were assumed to be of infinite mass.for the helium isoelectronic sequence with correct cusp conditions", J.

Phys. B 40, { (). [49] D.C. Gri n, C.P. Ballance, D.M. Mitnik and J.C. Berengut, \Dirac R{matrix cal-culations of electron{impact excitation of neon{like krypton", J. Phys. B 41 ().