blackmetИзвестия высших учебных заведений. Черная МеталлургияIzvestiya. Ferrous Metallurgy0368-07972410-2091National University of Science and Technology "MISIS"blackmet-1349Research ArticleФИЗИКО-ХИМИЧЕСКИЕ ОСНОВЫ МЕТАЛЛУРГИЧЕСКИХ ПРОЦЕССОВPHYSICO-CHEMICAL BASICS OF METALLURGICAL PROCESSESТЕРМОДИНАМИКА ЖИДКИХ РАСТВОРОВ АЗОТА В ХРОМЕTHERMODYNAMICS OF LIQUID NITROGEN SOLUTIONS IN CHROMIUMБольшовЛеонид АвраамовичBolshovLeonid

кафедра высшей математики, профессор, доктор физ-мат наук, SPIN-код 7801-4663

L. A. Bolshov, DSc (Physics and Mathematics), Professor of the Department of Higher Mathematics

labolshov@mail.ruКорнейчукСветлана КонстантиновнаKorneichukSvetlana

кафедра физики,кандидат физ-мат наук,  зав. кафедрой физики, SPIN-код 4129-0110

S. K. Korneichuk, Candidate of Sciences (Physics and Mathematics), Docent, Head of the Department of Physics

korn62@mail.ruВологодский государственный университетРоссияVologda State UniversityRussian Federation2019060520196251349Copyright © Большов Л.А., Корнейчук С.К., 20192019Большов Л.А., Корнейчук С.К.Bolshov L., Korneichuk S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://fermet.misis.ru/jour/article/view/1349

Предложена простая теория термодинамических свойств жидких растворов азота в сплавах системы Fe-Cr. Эта теория основана на решеточной модели рассматриваемых растворов. Предполагается модельная решетка типа ГЦК. В узлах этой решетки располагаются атомы Fe и Cr. Атомы азота располагаются в октаэдрических междоузлиях. Атом Nвзаимодействует лишь с атомами металлов, находящимися в соседних с этим атомом узлах решетки. Предполагается, что энергии этого взаимодействия не зависят ни от состава, ни от температуры. Принимается, что жидкие растворы в системе Fe-Cr являются совершенными. В рамках предложенной теории получено соотношение,которое выражает значение константы закона Сивертса для растворимости азота в жидком хроме через значение аналогичной константы для растворимости азота в жидком железе и значение вагнеровского параметра взаимодействияN-Cr в жидких сплавах на основе Fe.Также получено соотношение, выражающее значение парциальной энтальпии растворения азота в жидком Crпри образовании бесконечно разбавленного раствора через значение аналогичной величины для растворов азота в жидком Feи вагнеровский  параметр взаимодействия N-Cr в жидких сплавах на основе Fe. Выведено выражение, устанавливающее связь вагнеровского параметра взаимодействияN-Fe в жидких сплавах на основе Crc аналогичным параметромN-Cr в жидких сплавах на основе Fe. С помощью полученных формул рассчитаны значения константы закона Сивертса для растворимости азота в жидком Cr, значение энтальпии растворения азота в жидком Crпри образовании бесконечно разбавленного раствора, значение вагнеровского параметра взаимодействия N-Fe в жидких сплавах на основе Cr, экстраполированные на температуру 1873 К. Результаты расчета сравнены с результатами экспериментального изучения растворимости азота в жидкомCr и сплавах Cr-Fe, проведенного различными авторами по различным методикам. Наилучшим образом результаты теории согласуются с экспериментальными данными, полученными методом закалки образцов (Ф. Ишии, Я. Игучи, Ш. Бан-я, 1986г.). Обсуждены значения вагнеровского параметра взаимодействия N-Nв жидких сплавах на основе Cr и на основе Fe.

A simple theory of thermodynamic properties of liquid nitrogen solutions in Fe-Cr alloys is proposed. The theory based on the lattice model of the considered solutions. The model assumes a FCC lattice. In the lattice sites of this lattice are the atoms of Fe and Cr. Nitrogen atoms are located in octahedral interstices. The nitrogen atom interacts only with the metal atoms located in the lattice sites neighboring to this atom. It is assumed that the energy of this interaction depends neither on the composition nor on the temperature. It issupposed that the solution in the Fe-Cr system is perfect.  Within the framework of the proposed theory a relationship is obtained that expresses the value of the Sieverts law constant for the solubility of N in liquid Cr through the similar constant for the solubility of N in liquid Fe and the Wagner N-Cr interaction coefficient in liquid Fe. A relationship is also obtained  which expresses the partial enthalpy of nitrogen dissolution in liquid Cr through the similar quantity for N in liquid Fe and Wagner N-Cr interaction coefficient in liquid Fe.A formula deduced that establishes a connection between the Wagner N-Fe interaction coefficient in liquid Cr and N-Cr interaction coefficient in liquid Fe. Using the formulas obtained the value of the Sieverts law constant for the solubility of  nitrogen  in liquid Cr, the enthalpy of dissolution of N in liquid Cr and the value of the Wagner N-Fe interaction coefficient in liquid Cr extrapolated to a temperature of 1873 K are calculated. The results of the calculation are compared with the results of the experimental study of the solubility of nitrogen in liquid Cr carried out by different researchers using different methods. The result of the theory are in the best agreement with experimental data obtained by the sampling method (F. Ishii, Ya. Iguchi, Sh. Ban-ya, 1986).The values of the Wagner N-N interaction coefficient in liquid Cr and liquid Fe are discussed.

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The authors declare that there are no conflicts of interest present.