Atomic Spectra

Edlén, Bengt

doi:10.1007/978-3-662-35391-2_2

Cited by 161 publications

(116 citation statements)

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“…It has not been possible to extract the quadratic JT quantum defect m g from the data for n = 4 and 5. Figure 2 is an Edlén plot [29] showing the quantum defect parameters obtained for n = 3−5 plotted versus the electron energy e. For n = 3, values directly comparable to those given for f and g in tables 1 and 2 may be derived from the corresponding quantum defects m f and m g simply by division by (n − m np ) 3 . Note that the parameters m k 11 and m k rr account only for the bond effect owing to the Rydberg electron-in analogy with the parameters Dk 11 and Dk rr determined earlier-and do not include the force constants of the ion.…”

Section: (D) Analysis Of Higher Potential Energy Surfacesmentioning

confidence: 76%

The Jahn–Teller effect in the 3 pe ′ Rydberg state of H ₃ : review of experimental and ab initio determinations

Jungen

Pratt

2012

Phil. Trans. R. Soc. A.

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The dissociative recombination (DR) of H + 3 ions with electrons, producing neutral atomic and molecular fragments, is driven primarily by the vibronic Jahn-Teller (JT) interaction between the electronic components of the pe e − -H + 3 collision (Rydberg) channel. The JT parameters characterizing this interaction are therefore of great interest as they are required for the theoretical predictions of the DR cross section. In this contribution, we review various determinations of these quantities that have been made previously, based both on spectroscopic studies of 3pe Rydberg-excited H 3 states, and on the analysis of the corresponding ab initio H 3 Rydberg potential surfaces near the conical intersection (D 3h symmetry) for n = 3 − 5. The highly correlated theoretical 3pe potential surfaces of Mistrík et al. are used for a new determination of both the linear and quadratic JT terms.

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Section: (D) Analysis Of Higher Potential Energy Surfacesmentioning

confidence: 76%

The Jahn–Teller effect in the 3 pe ′ Rydberg state of H ₃ : review of experimental and ab initio determinations

Jungen

Pratt

2012

Phil. Trans. R. Soc. A.

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“…Results are shown in the figure 5. Deflection of light-ray is computed at the base of equations (2,3). There are general overview and scaled plots of deflection angle for k ω SST and laminar model in the figures 6, 7 and 8, 9 respectively.…”

Section: Resultsmentioning

confidence: 99%

“…Its direction cosines will be (0, 0, 1) and after passing through the system which contains disturbance, the incident ray is refracted with x-coordinate angle given as follows . (2) In y-coordinate, the situation is similar and refraction is defined by equation…”

Section: Analytical Solutionmentioning

confidence: 99%

“…For this index we can use Edléns relation defined in [2]. From equations (5-8) we can derive differential form of refraction index relation as follows .…”

Section: (7)mentioning

confidence: 99%

“…In aerodynamic experiment the depth is usually required to be sufficiently large to eliminate the influence of third (z) dimension as much as possible. In contrast, the best way to capture the density variation with the equations (2,3) is to minimize the L. It is because the large L allows the light-rays declined at very enter of test section to enter the region with different or / . Resulting declination than corresponds to curvilinear integral of (2, 3) along the light-ray path within test section instead to local value required.…”

Section: (7)mentioning

confidence: 99%

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Error analysis of supersonic air-to-air ejector schlieren pictures

Kolář

2013

EPJ Web of Conferences

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Abstract. The scope of this article is focused on general analysis of errors and uncertainties possibly arising from CFD-to-schlieren pictures matching. Analysis is based on classic analytical equations. These are firstly evaluated with the presumption of constant density gradient along the ray course. In other words, the deflection of light-ray caused by density gradient is negligible in compare to the cross size of constant gradient area. It is the aim of this work to determine, whether this presumption is applicable in case of supersonic air-to-air ejector. The colour and black and white schlieren pictures are carried out and compared to CFD results. Simulations had covered various eddy viscosities. Computed pressure gradients are transformed into deflection angles and further to ray displacement. Resulting computed light-ray deflection is matched to experimental results.

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Electric Dipole Oscillator Strengths and Radiative Lifetimes in the Boron Isoelectronic Sequence

et al. 1987

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Oscillator strengths for the 2~2ns(~S) -2~~m p (~P ) , (n = 3-6, m = 2 -4 ) and 2s2np(.2P) -2szmd(PD), (n = 4-6, m = 3-5) transitions in B I sequence are calculated in LScoupling scheme. The Coulomb approximation is used in calculating the radial part of the wave functions, while the angular part is determined using the Racah technique. Lifetimes of the ns(*S) and ~P (~P ) , (n = 3-6) excited states are evaluated and compared with previous results from beamfoil experiments. Elektronische, dipolare Schwingungsstlrke und Strahlungslebensdauer in der isoelektronisehen Sequenz des Bor Inhaltsubersicht. Im Rahmen der LS-Kopplung wurden die Oszillatorstarke fur die t'bergange 2~~n s (~S ) -2~~r n p (~P ) , (n = 3-6, m = 2-6) und 2s%p(zP) -2s%d('D), (n = 4--6, m = 3-5) in der B I Folge berechnet. Der radiale Anteil der Wellenfunktion wurde mit der Coulombschen h'aherungsmethode, der winkelabhangige Anteil mit der Rscahtechnik bestimmt. Die berechneten Lebensdauern der angeregten Zustande ns(*S) und np(2P) (n = 3 4 ) werden init Ergebnissen nus Strehl-Folienexperimenten verglichen.

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Atomic Spectra

Cited by 161 publications

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The Jahn–Teller effect in the 3 pe ′ Rydberg state of H ₃ : review of experimental and ab initio determinations

The Jahn–Teller effect in the 3 pe ′ Rydberg state of H ₃ : review of experimental and ab initio determinations

Error analysis of supersonic air-to-air ejector schlieren pictures

Electric Dipole Oscillator Strengths and Radiative Lifetimes in the Boron Isoelectronic Sequence

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Atomic Spectra

Cited by 161 publications

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The Jahn–Teller effect in the 3 pe ′ Rydberg state of H 3 : review of experimental and ab initio determinations

The Jahn–Teller effect in the 3 pe ′ Rydberg state of H 3 : review of experimental and ab initio determinations

Error analysis of supersonic air-to-air ejector schlieren pictures

Electric Dipole Oscillator Strengths and Radiative Lifetimes in the Boron Isoelectronic Sequence

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The Jahn–Teller effect in the 3 pe ′ Rydberg state of H ₃ : review of experimental and ab initio determinations

The Jahn–Teller effect in the 3 pe ′ Rydberg state of H ₃ : review of experimental and ab initio determinations