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Ab initio моделирование влияния кремния на образование карбида Fe3C в ОЦК-железе

Authors: Verkhovykh, A.V.; Mirzoev, A.A.; Mirzaev, D.A.;

Ab initio моделирование влияния кремния на образование карбида Fe3C в ОЦК-железе

Abstract

А.В. Верховых, А.А. Мирзоев, Д.А. Мирзаев Южно-Уральский государственный университет, г. Челябинск, Российская Федерация E-mail: avverkhovykh@susu.ru. A.V. Verkhovykh, A.A. Mirzoev, D.A. Mirzaev South Ural State University, Chelyabinsk, Russian Federation E-mail: avverkhovykh@susu.ru Представлены результаты первопринципного моделирования влияния кремния на энергию формирования цементита и парциальную энтальпию. Моделирование проводилось в рамках теории функционала плотности (DFT) полнопотенциальным методом линеаризованных присоединенных плоских волн (FP LAPW) с учетом обобщенного градиентного приближения (GGA’96) в программном пакете WIEN2k. Были изучены различные концентрации примеси кремния в цементите, а именно, 1,6, 3,2 и 6 ат. % как в позиции замещения атома железа (S и G-позиции), так и атома углерода (С-позиция). Была выполнена объемная оптимизация структур. Найдены равновесные параметры решетки как цементита без примеси, так и в присутствии кремния, которые отлично согласуются с экспериментальными и теоретическими данными. Энергия формирования для концентрации 3,2 ат. % в С-позиции оказалась –0,03 эВ, что может говорить о стабилизации цементита. Но при этом парциальная энтальпия для всех положений кремния положительна, и значит, кремний остается в твердом растворе ОЦК-Fe, что находится в хорошем согласии с результатами других теоретических и экспериментальных работ. Было получено, что чем больше концентрация кремния, тем ниже средний магнитный момент на атомах железа. Results of first-principles simulation of silicon influence of the energy of cementite formation and on partial enthalpy are presented in the article. Simulation was carried out in the frameworks of the Density Functional Theory (DFT) using the full-potential- linearized-augumented-plane-wave method (FP LAPW) taking into account the generalized gradient approximation (GGA’96) in WIEN2k software package. Various concentrations of silicon admixtures in cementite were studied, namely 1,6, 3,2 and 6 at. % for both the position of displacement of iron atom (positions S and G) and of carbon atom (position C). Volumetric optimization of all structures was carried out. Equilibrium parameters of the grid were determined both for cementite without admixtures (a = 4,510; b = 5,063; c = 6,747 Å), and for cementite with silicon, which excellently comply with experimental and theoretical data. Formation energy for concentration of 3,2 at. % in position C turned out to be –0,03 electron-volt, which can signify cementite’s stabilization. Though at that, partial enthalpy for all positions of silicon is positive which means that silicon remains in solid solution BCC-Fe, which is in a good compliance with results of other theoretical and experimental works. It was determined that the more is concentration of silicon, the lower is average magnetic moment on iron atoms. Moreover, it became possible to show that energy characteristics of the system significantly depend on the size of a super cell. This effect is connected with the use of periodic boundary conditions during calculations, and shows the presence of interactions between silicon atoms in neighboring super cells. Исследование поддержано грантом Российского научного фонда № 16-19-10252.

Country
Russian Federation
Keywords

formation energy, partial enthalpy, первопринципное моделирование, first-principles simulation, энергия формирования, парциальная энтальпия, cementite, silicon, цементит, УДК 669.111.31, кремний

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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