“…The result can be related to the Unsöld formula and [42]. However relation of the gap to the plasma frequency [30,32] is not excluded as well. Rotation frequency of an electron in the pair is ω ∼ E 3/2 , plasma frequency is ω 0 ∼ n 1/2 e , the border of the pair stability could be defined as ω = ω 0 and we obtain ΔE ∼ n 1/3 e .…”
Section: Temperature Independencementioning
confidence: 93%
“…As collective excitations have fluctuation nature, the idea of the crossover is to bridge collective fluctuations or excitations (plasma waves) to multiple fluctuations, then to pair fluctuations, and finally to excited atoms which could be considered as stabilized pair fluctuations. The possible effect of the multi-particle fluctuations on the electron spectrum in the intermediate region is discussed in [30,32].…”
Section: The Idea Of Crossover Descriptionmentioning
confidence: 99%
“…The concept of a soft gap between excited atoms and free electrons in the electron spectrum of NP is introduced in [43]. The authors [30,32] agree with the idea of a soft gap but suggested that it is filled partially by the less populated states of electrons localized in the long wave fluctuations of charge density. Fig.…”
Section: Population and Density Of Pair Electron States At The Ionizamentioning
Self-consistent joint description of free and weakly bound electron states in plasmas is considered. Existence of two problems is emphasized: restriction of the number of atomic excited states and description of the smooth crossover from bound pair electron-ion excited states to collective excitations of free electrons. The spectrum domain intermediate between low-lying excited atoms and free electron continuous energy levels is studied. Density and nonideality effects are separated. The density effects are predominant for the shape of the curve of the energy spectrum near the ionization limit. It corresponds to the suppression of spectral lines in ideal multicharge plasma of warm dense matter. A suppression of collisional recombination turns out to be a nonideality effect. The suppression agrees with the measurements for ultracold plasmas and warm dense matter.
“…The result can be related to the Unsöld formula and [42]. However relation of the gap to the plasma frequency [30,32] is not excluded as well. Rotation frequency of an electron in the pair is ω ∼ E 3/2 , plasma frequency is ω 0 ∼ n 1/2 e , the border of the pair stability could be defined as ω = ω 0 and we obtain ΔE ∼ n 1/3 e .…”
Section: Temperature Independencementioning
confidence: 93%
“…As collective excitations have fluctuation nature, the idea of the crossover is to bridge collective fluctuations or excitations (plasma waves) to multiple fluctuations, then to pair fluctuations, and finally to excited atoms which could be considered as stabilized pair fluctuations. The possible effect of the multi-particle fluctuations on the electron spectrum in the intermediate region is discussed in [30,32].…”
Section: The Idea Of Crossover Descriptionmentioning
confidence: 99%
“…The concept of a soft gap between excited atoms and free electrons in the electron spectrum of NP is introduced in [43]. The authors [30,32] agree with the idea of a soft gap but suggested that it is filled partially by the less populated states of electrons localized in the long wave fluctuations of charge density. Fig.…”
Section: Population and Density Of Pair Electron States At The Ionizamentioning
Self-consistent joint description of free and weakly bound electron states in plasmas is considered. Existence of two problems is emphasized: restriction of the number of atomic excited states and description of the smooth crossover from bound pair electron-ion excited states to collective excitations of free electrons. The spectrum domain intermediate between low-lying excited atoms and free electron continuous energy levels is studied. Density and nonideality effects are separated. The density effects are predominant for the shape of the curve of the energy spectrum near the ionization limit. It corresponds to the suppression of spectral lines in ideal multicharge plasma of warm dense matter. A suppression of collisional recombination turns out to be a nonideality effect. The suppression agrees with the measurements for ultracold plasmas and warm dense matter.
“…In the absorption spec trum, ΔЕ = 5.01 eV at this time moment. The N e esti mations according to (1) and according to the formula from [15] give, for 23 μs, the values 1.5 × 10 21 cm -3 and 3 × 10 21 cm -3 , respectively. The nonideality degree, γ ≈ 2.5.…”
Section: Resultsmentioning
confidence: 98%
“…The formulas from [12][13][14][15][16] are also used to esti mate the electron density. However, with the decrease in the principal quantum number, the distance between the lines increases; in the Balmer series, between the Н α and the Н β , it equals 170 nm.…”
The optical properties of nonideal plasmas within the electron concentration range 10 17 cm -3 < N e < 10 22 cm -3 are studied experimentally. According to these results, as well as to the data available in the literature, we obtain the experimental dependence of the ΔE (the difference between the atom ionization potential and the excitation potential of the upper level of the last observed emission or absorption line) value on the electron concentration within the range taken. The dependence is compared to the earlier obtained theoretical formulas. Recommendations on application of the experimental formula to determine the elec tron concentration in the external layers of the non ideal plasma at N e < 10 22 cm -3 are presented.
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