A.A. Redkin, S.I. Kumkov.
ABSTRACT
Analysis of literature data on heat of fusion and melting temperature of coordination compounds of rare earth elements halides was carried out. The interval approach was applied to describing the empirical dependencies. The approach is based on methods of the Interval Analysis and allows one to perform processing the experimental data that have measuring error of significant values under completely unknown their probabilistic properties and under very short sample of measurements. Only the maximal (on modulus) value of the errors can be given in advance. Under such conditions, the standard approaches of the mathematical statistics can be used formally. For description of the process under investigation, the empiric linear dependence of the fusion heat on the fusion temperature is used. The interval processing results (building the information set of parameters and the tube of compatible dependences was performed by the partial information sets method) are compared with estimations of these parameters calculated by the formal application of the standard least squares method (LSQM). Comparison of these results shows that these estimates are sufficiently close, but the interval approach gives better accuracy. For the linear dependency on temperature, its parameters for the rare earth metal halide compounds are sufficiently close to ones for the alkali metal halides. Since the melting temperatures of almost all coordination compounds of the rare-earth metal halides are known, the found estimations and dependences make it possible to estimate the fusion heat of these halides in the case when the experimental data are unavailable.
KEY WORDS:
thermophysical data, REM halides, coordination compounds, heat of fusion, melting point, dependence, experimental data, processing, estimation of dependence parameters, interval approach.
DOI:10.31857/S0235010621020067