The composition of dense alkali plasmas is calcula+d accounting for the formation of neutral clusters as well as positively and negatively charged molecular ions. The resulting values for the critical point of the liquid-gas phase transition are in better agreement with experimental data as previous theoretical work. The simultaneous occurence of the metal-nonmetal transition is discussed by means of the elctrical conductivity.
IntroductionRecently, accurate experimental results were achieved by JUNGST et al. of neutral and charged clusters in the vicinity of the critical point of Rb, Cs and Hg plasmas or fluids, respectively. This is due to the fact that the liquid-gas phase transition is superposed by an ionization equilibrium in alkali and Hg plasmas which yields the simultaneous occurrence of the metal-nonmetal transition. Therefore, a consistent treatment of the ionization equilibrium will lead to improved results for the composition and the electrophysical properties of alkali plasmas compared with previous theoretical work [4, 5, 81. Similar approaches were given recently for hydrogen [6, 181 and xenon plasma [5, 71 investigating the hypothetical plasma phase transition.It is the special aim of the present paper to extend the quantum statistical approach of REDHER and ROPKE [8] to the equation of state of Cs plasma to all alkali metals and to allow for the formation of not only atoms A0 and dimers A, O, but also of trimers A, O and of molecular ions A,,,*. The consideration of these clusters will continue a recent calculation of the thermodynamic properties of the alkali metals Li-Cs of REDMER et al.[9] by allowing for temperatures T < 3000 K and number densities TZ > lo2' m-3, i.e. for nearly critical conditions. As a special result, the critical points of all alkali metals were calculated. The present values modify those published earlier [lo] and lead to a better agreement with the experimental data. This paper is organized as follows: The next section gives a short review of the quantum statistical approach to the equation of state. Section 3 presents the results for the laws of mass action (LMA) which describe the chemical equilibrium between the reacting species in a dense and low-temperature plasma and the parameters which are necessary for their calculation. Explicit results for the composition, the thermodynamic functions and the critical points of the alkali plasmas are given in section 4. Concluding remarks to the metal-nonmetal transition and the electrical conductivity can be found in section 5.
2*