Equilibrium vacancy concentration in an alloy with interstitial impurities

Klimenko, V. A.; Masharov, S. I.; Rybalko, A. F.; Rybalko, N. M.; Timofeev, N. I.

doi:10.1007/bf00898268

Cited by 2 publications

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“…1, г) of three sublattices of octahedral interstices of the b.c.t. Me for the two total contents of impurity atoms: cX = 0.1 and cX = 0.12. вмісту вакансій при втіленні, принаймні, достатньо великої кількости домішки X в ОЦК-кристал Me та стопи заміщення на його основі, особливо в умовах далекого впорядкування втілених атомів, було викладено також авторами робіт [44,45] (див. також роботу [46] та літературу, цитовану в ній).…”

Section: обговорення результатівunclassified

High-Temperature Entropy Effects in Tetragonality of the Ordering Interstitial–Substitutional Solution Based on Body-Centred Tetragonal Metal

Levchuk¹,

Radchenko²,

Tatarenko³

2021

Metallofiz. Noveishie Tekhnol.

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Me за фіксованої температури? Ключові слова: мартенсит, «гібридний» твердий розчин, вакансія, деформаційна взаємодія точкових дефектів, «(електро)хемічна» взаємодія, ефект «блокування» атомів, конфіґураційна ентропія, тетрагональність. To find out the main features of symmetry-energy and structural-entropy aspects of interaction of impurity and solvent, a configuration model for the diffusionless formation of 'hybrid' interstitial-substitutional solid solution Me-X, where the interacting non-metal (X) atoms may occupy both octahedral interstices and sites of the b.c.c.(t.) metal (Me) lattice with vacancies, is developed. The discrete (atomic-crystalline) lattice structure, the anisotropy of elasticity, strain-induced ('size', etc.) as well as 'blocking' effects in the interatomic interactions are taken into account. An example of the simplest alloy isostructural to the nonstoichiometric Fe-N-martensite with a maximal α″-Fe16N2-type long-range order, but with X atoms in the octahedral interstices and sites of the b.c.t.-Me, is considered. An adequate set of the temperature-and concentration-dependent interatomic-interaction-energy parameters in such a solution is used to answer the following two questions. (i) Which are the features of varying the relative concentration of X atoms in the octahedral interstices of the b.c.t.-Me and, thus, its tetragonality degree, when the temperature increases? (ii) How can the equilibrium concentration of residual vacancies at the sites (in a wide range of changing the total content of introduced X atoms) correlate with the concentration of thermally activated vacancies in the impurity-free b.c.c.-Me at a fixed temperature?

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Section: обговорення результатівunclassified

High-Temperature Entropy Effects in Tetragonality of the Ordering Interstitial–Substitutional Solution Based on Body-Centred Tetragonal Metal

Levchuk¹,

Radchenko²,

Tatarenko³

2021

Metallofiz. Noveishie Tekhnol.

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“…For interstitial solutions, the vacancy concentration was addressed in [1,2]. In [1], the authors reported the vacancy concentration с υ in a solid interstitial solution ( ) A c − with regard to a specific configuration of interstitial atoms in the vicinity of the vacant site, and in [2], the effect of ordering of interstitial atoms and that of short-range ordering in their distribution on с υ in substitutional -interstitial alloys ( ) A В C − − was considered. In both works it was assumed that the interstitial atoms occupy only one type of interstices in the crystal, where they possess the same energy.…”

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The effect of thermal redistribution of various interstitial impurities on equilibrium vacancy concentration in BCC substitutional-interstitial alloys

Волков¹,

Masharov²

2007

Russ Phys J

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The equilibrium vacancy concentration in bcc substitutional-interstitial alloys is calculated taking into account thermal redistribution of the interstitial component in different types of interstices. The conditions where this effect gives rise to a decrease or increase in vacancy concentration are formulated.The equilibrium concentration of vacancies in multi-component alloys strongly depends on their composition and structural ordering. For interstitial solutions, the vacancy concentration was addressed in [1,2]. In [1], the authors reported the vacancy concentration с υ in a solid interstitial solution ( ) A c − with regard to a specific configuration of interstitial atoms in the vicinity of the vacant site, and in [2], the effect of ordering of interstitial atoms and that of short-range ordering in their distribution on с υ in substitutional -interstitial alloys ( ) A В C − − was considered. In both works it was assumed that the interstitial atoms occupy only one type of interstices in the crystal, where they possess the same energy. However, during ordering on the sites in the alloy ( ) A В C − − there is splitting of geometrically equivalent interstices into interstices of two types. This is due to different types of medium-range neighborhood of the interstices formed by the A and B atoms.In [3], the authors investigated the value of the energy-induced interstice splitting and the character of distribution of atoms in them. It was suggested that thermal redistribution of interstitial atoms over interstices of different types due to proximity of their energies would considerably affect all of the structure-sensitive properties of alloys.In the present work, we calculate the influence of this effect on the equilibrium concentration of vacancies in a substitutional -interstitial alloy assuming non-interacting interstitial atoms.The alloy under study is a bcc alloy ( ) A В C − − containing A N atoms of the A kind and B N atoms of the B kind in the sites, and C N atoms of the C kind in the octa-interstices. Let us denote the number of vacant sites in the sublattices as ( ) 1 n υ and ( ) 2 n υ . Denoting the alloy component concentrations by the relations A A

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Equilibrium vacancy concentration in an alloy with interstitial impurities

Cited by 2 publications

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High-Temperature Entropy Effects in Tetragonality of the Ordering Interstitial–Substitutional Solution Based on Body-Centred Tetragonal Metal

High-Temperature Entropy Effects in Tetragonality of the Ordering Interstitial–Substitutional Solution Based on Body-Centred Tetragonal Metal

The effect of thermal redistribution of various interstitial impurities on equilibrium vacancy concentration in BCC substitutional-interstitial alloys

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