Second-order polarization energies for Rydberg states

The energy level shifts for an electron in a high-nL Rydberg state of an atom such as helium are well described by an asymptotic potential with terms proportional to the multipole moments of the core. We obtain exact analytic expressions as a function of n and L for second-order perturbation corrections to the energy due to the asymptotic potential. The results are of importance in the analysis of high-precision variational calculations and experimental transition energies for Rydberg states.

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Core Level Shifts and Grain Boundary Cohesion

Microscopy and Microanalysis ◽

10.1017/s1431927600023953 ◽

1998 ◽

Vol 4 (S2) ◽

pp. 766-767

Author(s):

D. A. Muller

Keyword(s):

Charge Transfer ◽

Valence Band ◽

Core Level ◽

Level Shift ◽

The Core ◽

Metallic Interfaces ◽

Level Shifts ◽

Electron Energy Loss ◽

Valence Band Width

The role of core level shifts at metallic interfaces has often been ignored in electron energy loss spectroscopy (EELS) even though very small changes in bond length can lead to large core level shifts. However, the popular interpretation of core level shifts as measures of charge transfer is highly problematic. For instance, in binary alloys systems, the core level shifts can be the same sign for both atomic constituents[l]. The simple interpretation would require that both atomic species had lost or gained charge. Further, the signs of the core level shifts can be opposite to those expected from electronegativity arguments[2]. A core level shift (CLS) is still possible, even when no charge transfer occurs. As illustrated in Fig. 1, if the valence band width is increased, the position of the center of the valence band with respect to the Fermi energy will change (as the number of electrons remains unchanged).

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The 3s versus 3p Rydberg state photodissociation dynamics of the ethyl radical

Physical Chemistry Chemical Physics ◽

10.1039/c9cp04273c ◽

2019 ◽

Vol 21 (41) ◽

pp. 23017-23025 ◽

Cited By ~ 1

Author(s):

Sonia Marggi Poullain ◽

David V. Chicharro ◽

Alexandre Zanchet ◽

Luis Rubio-Lago ◽

Alberto García-Vela ◽

...

Keyword(s):

Electronic Structure ◽

Ab Initio ◽

Rydberg State ◽

Rydberg States ◽

Electronic Structure Calculations ◽

Velocity Map Imaging ◽

Ethyl Radical ◽

Structure Calculations

Photodissociation dynamics of the ethyl radical from the 3s vs. 3p Rydberg states studied by velocity map imaging and ab initio electronic structure calculations.

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On the virial coefficients of confined fluids: Analytic expressions for the thermodynamic properties of hard particles with attractions in slit and cylindrical pores to second order

The Journal of Chemical Physics ◽

10.1063/1.5063898 ◽

2019 ◽

Vol 150 (4) ◽

pp. 044704 ◽

Cited By ~ 4

Author(s):

William P. Krekelberg ◽

Nathan A. Mahynski ◽

Vincent K. Shen

Keyword(s):

Thermodynamic Properties ◽

Virial Coefficients ◽

Second Order ◽

Confined Fluids ◽

Hard Particles ◽

Cylindrical Pores ◽

Analytic Expressions

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Analytic expressions for the second-order scalar perturbations in the ΛCDM Universe within the cosmic screening approach

Physics of the Dark Universe ◽

10.1016/j.dark.2019.100329 ◽

2019 ◽

Vol 26 ◽

pp. 100329 ◽

Cited By ~ 4

Author(s):

Maxim Eingorn ◽

N. Duygu Guran ◽

Alexander Zhuk

Keyword(s):

Second Order ◽

Screening Approach ◽

Analytic Expressions ◽

Scalar Perturbations

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Absorption spectrum of the NO molecule. VIII. The heterogeneous (2Σ–2Π) interactions between excited states

Canadian Journal of Physics ◽

10.1139/p68-126 ◽

1968 ◽

Vol 46 (8) ◽

pp. 987-1003 ◽

Cited By ~ 39

Author(s):

Ch. Jungen ◽

E. Miescher

Keyword(s):

Absorption Spectrum ◽

High Resolution ◽

Excited States ◽

Rydberg State ◽

Vacuum Ultraviolet ◽

Principal Quantum Number ◽

Rydberg States ◽

Infrared Emission ◽

Strong Interactions ◽

Rydberg Series

Heterogeneous perturbations 2E+ ~ 2Π of largely different magnitudes are observed with high resolution in the vacuum-ultraviolet absorption and in the infrared emission spectrum of the NO molecule. The rotational interactions between 2Σ+ Rydberg states and levels of the B2Π non-Rydberg state are shown to be "configurationally forbidden", but produced by the configuration interaction between the non-Rydberg levels and 2Π Rydberg states. The latter together with the 2Σ+ Rydberg states form p complexes. In this way the interactions display the l uncoupling in the complexes; they can be evaluated theoretically and can be analyzed fully. The cases of the strong interactions D2Σ+(v = 3) ~ B2Π(v = 16)and D2Σ+(v = 5) ~ B2Π(v = 21) and of the weaker D2Σ+(v = 1) ~ B2Π(v = 11), all three observed as perturbations in ε bands crossing 3 bands, are discussed in detail. It is further shown that perturbations between γ bands and β bands as well as perturbations between analogous bands of higher principal quantum number are absent, and thus the assignment of the A2Σ+ and E2Σ+ states to the s Rydberg series is confirmed.

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