TY - JOUR A1 - Gornushkin, Igor B. A1 - Shabanov, Sergej V. T1 - Chemistry in laser‑induced plasmas at local thermodynamic equilibrium JF - Applied physics A N2 - The equation of state for plasmas containing negative and positive ions of elements and molecules formed by these elements is modeled under the assumption that all ionization processes and chemical reactions are at local thermal equilibrium and the Coulomb interaction in the plasma is described by the Debye–Hückel theory. The hierarchy problem for constants of molecular reactions is resolved by using three different algorithms for high, medium, and low temperatures: the contraction principle, the Newton–Raphson method, and a scaled Newton–Raphson method, respectively. These algorithms are shown to have overlapping temperature ranges in which they are stable. The latter allows one to use the developed method for calculating the equation of state in combination with numerical solvers of Navier–Stokes equations to simulate laser-induced Plasmas initiated in an atmosphere and to study formation of molecules and their ions in such plasmas. The method is applicable to a general chemical network. It is illustrated with examples of Ca–Cl and C–Si–N laser-induced plasmas. KW - Plasma KW - LIBS KW - Plasma modeling PY - 2018 DO - https://doi.org/10.1007/s00339-018-2129-9 SN - 1432-0630 SN - 0947-8396 VL - 124 IS - 10 SP - 716, 1 EP - 21 PB - Springer AN - OPUS4-46112 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -