Eur. Phys. J. D 61, 117-130 (2011)
https://doi.org/10.1140/epjd/e2010-10118-y

Static and dynamic structure factors with account of the ion structure for high-temperature alkali and alkaline earth plasmas^*

¹ Institut für Physik, Humboldt Universitat zu Berlin, Newtonstr. 15, 12489 Berlin, Germany
² Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain

Corresponding author: ^a saltanat@physik.hu-berlin.de

Received: 2 March 2010
Revised: 6 July 2010
Published online: 10 November 2010

Abstract

The electron-electron, electron-ion, ion-ion and charge-charge static structure factors are calculated for alkali (at T = 30 000 K, 60 000 K, n_e = 0.7 × 10²¹ ÷ 1.1 × 10²² cm^-3) and Be²⁺ (at T = 20 eV, n_e = 2.5 × 10²³ cm^-3) plasmas using the method described by Gregori et al. The dynamic structure factors for alkali plasmas are calculated at T = 30 000 K, n_e = 1.74 × 10²⁰, 1.11 × 10²² cm^-3 using the method of moments developed by Adamjan et al. In both methods the screened Hellmann-Gurskii-Krasko potential, obtained on the basis of Bogolyubov's method, has been used taking into account not only the quantum-mechanical effects but also the repulsion due to the Pauli exclusion principle. The repulsive part of the Hellmann-Gurskii-Krasko (HGK) potential reflects important features of the ion structure. Our results on the static structure factors for Be²⁺ plasma deviate from the data obtained by Gregori et al., while our dynamic structure factors are in a reasonable agreement with those of Adamyan et al.: at higher values of k and with increasing k the curves damp down while at lower values of k, and especially at higher electron coupling, we observe sharp peaks also reported in the mentioned work. For lower electron coupling the dynamic structure factors of Li⁺, Na⁺, K⁺, Rb⁺ and Cs⁺ do not differ while at higher electron coupling these curves split. As the number of shell electrons increases from Li⁺ to Cs⁺ the curves shift in the direction of low absolute value of ω and their heights diminish. We conclude that the short range forces, which we take into account by means of the HGK model potential, which deviates from the Coulomb and Deutsch ones, influence the static and dynamic structure factors significantly.