B2-FeAl 有序相中成分与温度对占位与反位缺陷的影响: 相场法研究

原子占位与反位缺陷对金属间化合物合金的物理与机械性能产生巨大的影响。B2-FeAl作为一种具有优异性能的材料,研究其中的原子占位与反位缺陷具有十分重要的意义。本文利用相场方法研究了B2-FeAl有序相中铝浓度与温度对原子占位与反位缺陷变化趋势的影响。研究结果表明,铝浓度的增加或者温度的降低能够加速母相中的溶质原子分离,进而使得铝原子占位、铁原子占位以及反位铁或铝更早达到平衡态。特别地,铝浓度的升高或温度的降低能够增强铝和铁的占位,并减少两种类型的反位缺陷。此外,研究结果还表明铝浓度或者温度的变化不能改变B2-FeAl有序向中主要的反位缺陷类型。     

Solid-solution hardening and softening by Fe additions to NiAl

Solid-solution hardening in the case of a ternary alloy addition to a B2 compound with the triple defect structure has been investigated. The fact that the ternary element may occupy either of two sublattices or may affect the concentration of other types of point defects present in the material makes this a very interesting problem to consider. Ni-rich (40 at% Al), stoichiometric (50 at% Al), and Al-rich (52 at% Al) alloys were doped with up to 12 at% Fe. Lattice parameter, bulk density and hardness measurements were performed on samples quenched from 1000 °C. It was found that solid-solution softening actually occurs in the Ni-rich alloys, while hardening was observed in the stoichiometric and Al-rich alloys. The vacancy concentration was determined from the experimental data, and the site occupancies of the Fe atoms were estimated from a thermodynamic model. Through careful consideration of all point defect concentrations the solid-solution hardening and softening behaviors could be effectively rationalized.     

Microscopic phase-field modeling of atomic anti-site behaviors in precipitation progress of Ni3(AlFe)

The effects of temperature on atomic anti-site behaviors in L12-Ni3(AlFe) phases were studied using microscopic phase-field dynamic model in precipitation progress of Ni75Al20Fe5 alloy.The results show that with the increase of temperature,the formation of NiAl and AlNi anti-sites is much easier in Ni3(AlFe),and Ni and Al anti-site atoms show clearly stronger temperature-dependent than Fe anti-site atoms.The evolution progress of anti-site atoms is completed at the initial growth stage of L12-Ni3(AlFe) phases.The site occupation probabilities of Ni atoms on the sublattice A(NiNi,face centers sites of FCC),and Al and Fe atoms on the sublattice B(AlAl and FeAl,corners sites of FCC) all present the degressive tendency with the temperature increasing.Fe atoms mainly prefer to occupy the Al sublattice at the whole temperature range.     

Microscopic phase-field study on aging behavior of Ni_(75)Al_(17)Zn_8 alloy

The precipitating kinetics of Ni75Al17Zn8 alloy was studied at both 873K and 973K by microscopic phase-field model.The calculation results show that the order-disorder transformation experiences the matrix→lowly-ordered L10 phase→L12 phase at 973 K.And the nucleation of L12 particles belongs to the spinodal decomposition mechanism.As temperature increases,orderings of Al and Zn atoms are resisted,but coarsening of L12 particles is promoted.The value of coarsening kinetic exponents approaches to 1/2.In addition,the discussions about Ni-Al anti-site defect and Zn substitutions for Ni site and Al site exhibit that the higher the temperature,the more distinctive the Ni-Al anti-site defect,but the less the Zn substitution.     

Point defect concentrations of L1_2-Al_3X(Sc,Zr,Er)

The point defect concentrations of Ll_2-Al_3 X(Sc,Zr,Er) were systematically investigated using the firstprinciple calculations with thermodynamics approach.The results show that the constitutional point defects of offstoichiometric Ll_2-Al_3 X(Sc,Zr,Er) prefer to occur in X sublattice,that is X anti-site in X-rich alloy and X vacancy in Al-rich alloy,respectively.And A1 anti-site also has a high density in Al-rich Ll_2-Al_3 X(Sc,Er).It is found that the point defect concentrations of stoichiometric Ll_2-Al_3 X(Sc,Zr) follow in the sequence as: A1 vacancies(V_(A1)) X vacancies(V_X) X anti-sites(X_(Al)) A1 antisites(Al_X).The point defect concentration of stoichiometric Al_3 Er is similar to that of L12-A13 X(Sc,Zr).The result suggests that the A1 vacancy(V_(A1)) is a dominant point defect in L12-A13 X(Sc,Zr,Er).A simple parameter Hv_x-Hv_(Al) can be used for a rough estimation of the point defect concentrations in Ll_2-Al_3 X structure.Some rules of point defect concentrations for L1_2-Al_3 X(Sc,Zr,Er) are also revealed.     

V掺杂Ni3Al点缺陷结构及合金化效应的第一性原理研究

基于密度泛函理论的第一性原理平面波赝势方法研究了V掺杂Ni3Al合金的电子结构和点缺陷结构.通过计算与实验结果对比选择了适合Ni3Al合金计算的近似方法,计算了含有各个缺陷的晶胞的晶格常数,形成热和结合能,点缺陷的形成能和平衡浓度,态密度和电荷密度.计算结果表明:Ni3Al合金中反位缺陷较空位缺陷易形成,NiAl是Ni3Al合金中最主要的反位缺陷,Al位最易形成缺陷,在1400 K时,空位缺陷的浓度远远低于反位缺陷的浓度.V加入Ni3Al合金体系中能提高合金的稳定性.     

基于马儿可夫链B2-NiAl反位缺陷的模型推导与计算

基于马儿可夫链理论和Bragg-Williams型方程,建立了描述反位缺陷占位几率的基本方程和转移几率;推导出了平衡时空位与反位缺陷浓度的表达式。利用所建模型结合第一性原理平面波赝势法系统研究了NiAl中各种点缺陷,从定量计算和电子结构角度论证了平衡状态下,在Ni:Al=1附近,Ni和Al原子的占位服从Fermi-Dirac统计,并且当温度从800增加到1300K时,NiAl几率比AlNi几率大106～109倍,反位缺陷以NiAl为主。VNi浓度比AlNi浓度大105～107倍、而NiAl浓度比VAl浓度大106～1010倍。对于同一原子而言,NiAl比VNi稳定,AlNi比VAl稳定。     

Influence of alloying on the thermodynamic stability of FeAl B2 phase

Ab initio calculations are performed to study the site preference occupation for the transition metals additive in FeAl (B2) and their influence on the thermodynamic stability of this phase. It was found that alloying by Ni results in significant stabilization of the phase. Alloying by V slightly stabilizes and alloying by Cr slightly destabilizes the structure. Our calculations predict that V prefers to occupy Al position in defectless FeAl, Ni occupies Fe position, and Cr shows slight preference to occupy the position of Al. When the vacancy on the Fe site is formed in the vicinity of alloying transition metals, V and Ni atoms remain on the same sites as in perfect FeAl, while Cr changes to its preferable site.     

Modeling of site occupancies in B2 FeAl and NiAl alloys with ternary additions

The addition of ternary alloying elements to FeAl and NiAl based intermetallic compounds could potentially influence their mechanical properties in a significant manner. Knowledge of the site occupancies of different species in these ternary compounds is of importance since it influences the bonding characteristics and consequently the mechanical properties. In this paper a simple approach involving chemical rate theory has been used to calculate the site occupancies in the ternary B2 compounds. These calculations predict that with increasing atomic number of 3d transition metal additions to B2 FeAl, the site occupancy of the ternary addition increases on the Fe site with the exception of Cu. The predicted exception for Cu has been experimentally verified using ALCHEMI. In addition, the site occupancies in B2 Ni–Al–Fe compounds of different compositions have been predicted and experimentally verified. The role of the relative ordering or clustering tendencies of the three different binary pairs in the ternary compound on the site preferences has also been discussed.     

Fe对NiAl力学性能影响的第一原理计算

采用第一原理赝势平面波方法,基于虚拟晶体势函数近似(VCA),计算Fe合金化(浓度x<3.0%,原子分数,下同)时完整与缺陷B2-NiAl晶体的弹性性质,并采用弹性常数C44、Cauchy压力参数(C12-C44)、杨氏模量E、剪切模量G及其与体模量B0的比值G/B0等,表征和评判Fe合金化浓度x对NiAl金属间化合物延性与硬度的影响。结果表明:无论是无缺陷的理想NiAl晶体,还是含Ni空位或Ni反位的NiAl缺陷晶体,x<0.6%的Fe合金化均可使其硬度大幅提高。Fe合金化浓度低于0.5%时,虽然完整NiAl晶体的延性变差,但含Ni空位的缺陷NiAl晶体的延性却可明显改善,并以x=0.2%～0.4%时韧化效果最好。Ni空位或Ni反位降低B2-NiAl晶体的本征延性。实验中0.20%～0.25%的Fe合金化对NiAl晶体延性的改善很可能源于Fe原子与NiAl晶体中Ni空位间的关联与协同作用。     

Thermodynamic properties of the Al–Fe–Ni system acquired via a hybrid approach combining calorimetry,first-principles and CALPHAD

A reaction calorimeter coupled with first-principles calculations was employed to obtain enthalpies of formation for τ₁ (Al₉FeNi) and τ₂ (Al₁₀Fe₃Ni) compounds. The previous thermodynamic model for describing the disorder/order transition (fcc_A1/L1₂) in the Al–Fe–Ni system was modified to extrapolate this model to quaternary and higher-order systems. The first-principles energy calculations for the end-members of sub-lattice models in ternary compounds and L1₂ phase were performed to facilitate subsequent modeling. The existence of the experimentally observed miscibility gap for ternary B2-ordered phase is detected by the present calculation. Such a feature cannot be identified with available thermodynamic software due to the tiny difference between the Gibbs energies associated with different phase assemblages. A set of thermodynamic parameters for the Al–Fe–Ni system was obtained via thermodynamic modeling. Numerous experimental data including phase diagram, thermodynamic properties and site occupation of Fe in B2 phase are well accounted for by the present modeling.     

B2-RuAl点缺陷结构的第一原理计算

采用第一原理赝势平面波方法,计算了B2-RuAl金属间化合物的基本物性及其点缺陷结构的几何、能态与电子结构,通过对不同点缺陷结构形成热与形成能的计算与比较,分析和预测了RuAl金属间化合物中点缺陷结构的种类与存在形式.结果表明：RuAl金属间化合物的点缺陷主要是Ru空位和Al反位,在富Ru合金中主要为Ru反位,在富Al合金中则主要是Al反位.这些点缺陷主要以Ru-Ru双空位和Al-Al双反位的组态结构形式出现,并且双空位以Ru-Ru为第一近邻时其点缺陷结构最稳定,而双反位则是以Al-Al为第三近邻时稳定性最高.进一步通过对NiAl和RuAl不同点缺陷结构Cauchy压力的比较,发现点缺陷对RuAl塑性的降低程度比NiAl低,因而含有点缺陷的实际合金的室温塑性RuAl比NiAl好.     

Thermodynamic Database and the Phase Diagrams of the (U,Th, Pu)-X Binary Systems

A thermodynamic database for nuclear materials, including U-Th, U-Pu, Th-Pu, and (U, Th, Pu)-X (X = Al, Co, Cr, Cu, Fe, Ga, Mg, Mn, Mo, Nb, Ni, Si, Ta, W, Zr) binary system has been developed by the Calculation of Phase Diagrams (CALPHAD) method. Thermodynamic parameters describing Gibbs free energies of different phases have been evaluated by optimizing experimental data on phase equilibria and thermodynamic properties. The present thermodynamic database can provide much-needed information such as stable and metastable phase equilibria, phase fractions, and various thermodynamic quantities that is important to the design of nuclear materials. This database is also an essential starting point to construct thermodynamic databases for the multicomponent systems.     

The effect of native point defect thermodynamics on off-stoichiometry in β-Mg17Al12

The mechanical strength of Mg–Al–Zn alloys can be affected by a fine spatial dispersion of β-Mg₁₇Al₁₂ precipitates in the Mg matrix. In an effort to understand the phase stability and the unusual asymmetric off-stoichiometry observed in β-Mg₁₇Al₁₂, we have performed a series of first-principles density functional theory (DFT) calculations of bulk and defect properties of Mg₁₇Al₁₂. Specifically, we consider native point defects (i.e. vacancies and anti-sites) in all four sublattices of Mg₁₇Al₁₂, i.e. 2a, 8c, 24g (Mg) and 24g (Al). The T = 0 K static energies of defect Mg₁₇Al₁₂ supercells indicate that anti-site defects are energetically favored over vacancies, and the lowest anti-site defect formation energies are in 24g sites for both Al_Mg and Mg_Al. These Al-rich and Mg-rich anti-site defect formation energies are similar in magnitude, and thus do not explain the asymmetric off-stoichiometry of Mg₁₇Al₁₂. We also investigate the effect of atomic vibrations via DFT phonon calculations on native point defect free energies of Mg₁₇Al₁₂ and combine these entropic contributions with the point defect formation energies to evaluate the thermodynamics of off-stoichiometry in this phase. We find that the formation of the Al_Mg anti-site is not strongly stabilized by vibrational entropy. Thus, we conclude that the observed asymmetry in the off-stoichiometry of the β-Mg₁₇Al₁₂ phase in the Mg–Al phase diagram is not explained by simple native point defect thermodynamics, and must involve a more complicated defect formation mechanism, such as multi-defect clustering.     

Diffusion in the B2-b.c.c. phase of the Al–Fe–Ni system—application of a phenomenological model

A phenomenological model for multicomponent diffusion in B2-b.c.c. ordered phases is applied to the Al–Fe–Ni system. In the model, the activation energy for diffusion is expressed as a function of the degree of ordering, which is evaluated from thermodynamic data. These data are also used to evaluate the thermodynamic factors for diffusion. A CALPHAD-like assessment procedure is applied to the experimental data for diffusion in the B2-b.c.c. phase of the Al–Fe–Ni system. It is shown that the model is capable of representing the experimental data. The diffusivities from the model are used to simulate six different diffusion experiments. The results are compared with experimental data and it is concluded that the model yields satisfactory predictions.     

Bonding characteristics of micro-alloyed B2 NiAl in relation to site occupancies and phase stability

A recently developed mean-field model has been combined with first principles calculations of binding energy to investigate the site occupancies of micro-alloying elements and vacancies in NiAl as well as the stability of the micro-alloyed B2 phase with respect to disordering and second-phase formation. The theoretical results suggest that the transition metal elements in the same row of the periodic table increasingly tend to the Ni sublattice with increasing atomic number. Micro-alloying addition tends to decrease the vacancy concentration of NiAl alloys. Alloying with X that substitutes for Ni is predicted to have the sides of its solubility lobe parallel to the Ni–X side of the isotherm, but parallel to the Al–X side if X substitutes for Al. Micro-alloying was shown to raise the ordering temperature of the B2 phase over the corresponding binary alloy, in contrast with the effect of vacancies. Alloying effects on ordering temperature and the formation of point defects appear independent of the site substitution behaviour, and are less significant for 3d than for 4d and 5d transition metal elements.     

Combined ab initio and experimental study of A2 + L21 coherent equilibria in the Fe–Al–X (X = Ti,Nb, V) systems

A combined theoretical and experimental study of ordering and phase separation in α-Fe alloys in the Fe–Al–X (X = Ti, Nb, V) systems is presented. The theoretical part is dedicated to the assessment of the BCC-based phase equilibrium diagram in the iron-rich zone of the ternary systems via a truncated cluster expansion, through the combination of Full-Potential-Linear augmented Plane Wave (FP-LAPW) electronic structure calculations and of Cluster Variation Method (CVM) thermodynamic calculations in the irregular tetrahedron approximation. The stability and the solid solubility of Al in the Fe₂X Laves phases are also included in the discussion of the ternary BCC ground state diagrams. The approach was employed in order to explore particular vertical sections of the ternary systems where a coherent two-phase microstructure can be generated with an optimal combination of volume fraction of Fe₂AlX (L2₁) Heusler type precipitates and Al content in the α-Fe (A2) matrix. The results indicate that in the Fe–Al–Ti and Fe–Al–V systems there are two kinds of phase separations of the BCC phase, (A2+ L2₁) and (B2 (FeAl structure) + L2₁). A tie-line separates both two-phase fields that shrinks and moves toward the Fe-X binary system while its direction remains almost parallel as the temperature increases. Selected experiments were performed on three alloys of the Fe–Al–Ti system belonging to vertical sections that contain this tie-line. The microstructure and composition of the matrix and precipitate phases were characterized by transmission electron microscopy (TEM) and Energy Dispersive Spectroscopy (EDS), the theoretical predictions were borne out.     

The site occupancies of alloying elements in TiAl and Ti3Al alloys

The site occupancies of V, Cr, Mn, Fe, Ni, Zr, Nb, Mo, Ta, Ga and Sn (1–5 at.%) in TiAl alloys with different compositions, and in Ti₃Al with the compositions of Ti–26 at.%Al–(1–2 at.%)X, were measured by the atom location channelling enhanced microanalysis (ALCHEMI) method. For TiAl alloys, the results show that Zr, Nb and Ta atoms invariably occupy Ti sites, while Fe, Ni, Ga and Sn atoms occupy Al sites, the alloy composition having no significant influence on their site preference. By contrast, the site preference of V, Cr, and Mn changes considerably with alloy composition (the Ti/Al ratio in particular), the probability of these elements substituting for Ti decreasing in the above order. For quaternary Ti–Al–V–Cr alloys, the site occupancies of V and Cr do not show much mutual influence. In general, with increasing atomic number, elements in the same period show increasing tendency to substitute for Al, as is the tendency to substitute for Ti for elements in the same group of the periodic table. For Ti₃Al alloys, Ga and Sn atoms occupy Al sites, while V, Cr, Mn, Zr, Nb, Mo and Ta atoms occupy Ti sites, the site preference of V, Cr, Mn and Mo in TiAl alloys being different from that in Ti₃Al. The experimental results are interpreted in terms of a Bragg–Williams-type model and bond-order data obtained from electronic structure calculation. Qualitative agreement between the model and measurements is reached.     

The native point defects in C14 Mg2Ca Laves phase: A first-principles study

The native point defects in C14 Mg₂Ca Laves phase are studied from the first-principles density functional theory calculations within GGA approximation. The defect formation energies indicate that anti-site defects are energetically favored over vacancies. Under Mg-rich and even general Ca-rich condition, defect Mg_Ca of Mg anti-site on Ca sublattice is favorable owing to the lowest formation energy. The Ca_Mg2 defect of Ca anti-site on Mg2 sublattice is also likely dominant only under extreme Ca-rich environment. The present results could explain reasonably the asymmetric off-stoichiometry of Mg₂Ca. The effective point defect concentrations of Mg₂Ca as a function of composition and temperature at experimental range are also calculated from a canonical statistical model, and the derived results show a linear relationship between the logarithm of defect concentration and T⁻¹. Geometrical factor is further studied, and it is found that atomic size possesses an obvious influence on the structure of point defect in Mg₂Ca. The electronic feature is further studied to reveal underlying mechanism for formation of point defects.     

金属间化合物Ni_3Al微结构的AP-FIM研究

用原子探针场离子显微镜（AP-FIM）研究了添加B对Ni3Al有序度的影响以及不同Ni／Al比时Ni3Al场离子像衬度的变化无B的Ni3Al样品中晶内出现富Ni区，且随着Ni富集程度的不同而影响场离子像的衬度在.Ni3Al样品中，B的添加会影响Ni3Al晶体的择优取向随B含量的增加，Ni3Al中占据反位置的Al原子增多，有序度降低Ni3Al样品有序度的降低是改善室温延展性的原因之一.