面心立方固溶体合金的团簇加连接原子几何模型及典型工业合金成分解析

工业合金牌号的成分选择体现了固溶体合金的化学短程有序结构,满足由最近邻两层原子组成的"团簇加连接原子"模型,例如对于置换型面心立方固溶体Cu-Zn,其合金牌号成分可以表述为[Zn-Cu_(12)]Zn_(1-6)和[Zn-Cu_(12)](Cu,Zn)_6,其中方括号内为第一近邻配位多面体团簇.基于此,本文赋予团簇式以具体原子结构的含义,对置换型面心立方固溶体结构中团簇的可能存在形式进行了穷尽,得出团簇式所对应的所有"团簇加连接原子"结构单元模型,给出团簇和连接原子之间的比例和空间排列的所有可能,并对Cu-Zn和Cu-Ni合金常用牌号对应的团簇式给出了三维结构模型,进一步验证了前期关于合金团簇式解析的正确性.用这些模型中原子化学序描述合金的成分,赋予团簇式以具体的原子结构意义,为进一步开发新的合金提供了理论依据.     

Ni-Al-Cr合金中团簇加连接原子模型的第一性原理计算

通过团簇加连接原子模型研究了Ni-Al-Cr合金的近程序结构和物理特性.以Al原子为中心,其周围第一近邻的12个Ni原子作为壳层原子,位于次近邻的Al原子和Cr原子作为连接原子,即[Al-Ni₁₂]Al_xCr_3–x,其中x=0, 0.5, 1.0, 1.5, 2.0, 2.5.形成能表明团簇加连接原子模型对应的结构比其他结构更稳定.差分电荷密度显示了Ni, Al, Cr原子间的电荷密度转移主要聚集在Ni-Al和Ni-Cr之间,说明Ni-Al和Ni-Cr之间比AlCr和Ni-Ni更容易成键.能带结构显示了Ni-Al-Cr合金材料均具有导体性质,且Ni-3d, Al-3p和Ni-3d, Cr-3d之间发生了明显杂化效应,验证了Ni-Al和Ni-Cr之间存在较强的相互作用.     

以团簇加连接原子模型解析Cr-C共晶成分

Cr-C体系材料是重要硬质防护涂层的代表,具有共晶特征.我们的前期工作指出,共晶合金满足双团簇近程序结构模型,由两种稳定液体亚单元构成,各自满足理想非晶团簇成分式,这里的第一近邻团簇来自相关共晶相.显然共晶成分解析的关键在于获得团簇,而相结构中往往存在多种团簇,进入到非晶/共晶团簇成分式的主团簇定义是关键环节.本文通过应用Friedel振荡理论及原子密堆,以团簇分布的球周期性及孤立度为判据,以Cr-C共晶相为例,进一步细化了共晶相中的主团簇选择流程,再搭配以2,4或6个连接原子,获得了描述共晶成分Cr_(86)C_(14)和Cr_(67.4)C_(32.6)的双团簇成分式:[Cr-Cr_(14)+C-Cr_9]Cr C_3和[C-Cr_9+C-Cr_8]C_6,其中四种团簇分别来自共晶相Cr,Cr_(23)C_6,Cr_7C_3和Cr_3C_2.该工作进一步证实了团簇加连接原子模型在共晶点解析中的普适性,并从理论上支持了相关的材料设计.     

用类O原子波函数对H+9团簇的体心立方结构与能量的研究

在单中心球模型近似下,选用类O原子解析函数,用变分法计算了H+9团簇体心立方结构与能量。结果表明当中心氢原子核到顶角氢原子核之间的距离R=1.97a0时,体系能量有一极小值E=-4.376h0(a0=0.529177×10-10m,h0=27.2eV)。这表明H+9团簇的体心立方结构是稳定的结构,H+9团簇是存在的。     

Co-Al-W基高温合金的团簇成分式

Co-Al-W基高温合金具有类似于Ni基高温合金的γ+γ'相组织结构.根据面心立方固溶体的团簇加连接原子结构模型,Ni基高温合金的成分式即最稳定的化学近程序结构单元可以描述为第一近邻配位多面体团簇加上次近邻的三个连接原子.本文应用类似方法,首次给出了Co-Al-W基高温合金的团簇成分式.利用原子半径和团簇共振模型,可计算出Co-Al-W三元合金的团簇成分通式,为[Al-Co_(12)](Co,Al,W)_3,即以Al为中心原子、Co为壳层原子的[Al-Co_(12)]团簇加上三个连接原子.对于多元合金,需要先将元素进行分类:溶剂元素——类Co元素Co (Co, Cr, Fe, Re, Ni,Ir,Ru)和溶质元素——类Al元素Al (Al,W,Mo, Ta,Ti,Nb,V等);进而根据合金元素的配分行为,将类Co元素分为Co~γ(Cr, Fe, Re)和Co~(γ')(Ni, Ir, Ru);根据混合焓,将类Al元素分为Al, W (W, Mo)和Ta (Ta, Ti, Nb, V等).由此,任何多元Co-Al-W基高温合金均可简化为Co-Al伪二元体系或者Co-Al-(W,Ta)伪三元体系,其团簇加连接原子成分式为[Al-Co_(12)](Co_(1.0)Al_(2.0))(或[Al-Co_(12)] Co_(1.0)Al_(0.5)(W,Ta)_(1.5)=Co_(81.250)Al_(9.375)(W,Ta)_(9.375) at.%).其中,γ与γ'相的团簇成分式分别为[Al-Co_(12)](Co_(1.5)Al_(1.5))(或[Al-Co_(12)] Co_(1.5)Al_(0.5)(W,Ta)_(1.0)=Co_(84.375)Al_(9.375)(W,Ta)_(6.250) at.%)和[Al-Co_(12)](Co_(0.5)Al_(2.5))(或[Al-Co_(12)] Co_(0.5)Al_(0.5)(W, Ta)_(2.0)=Co_(78.125)Al_(9.375)(W,Ta)_(12.500)at.%).例如,Co_(82)Al_9W_9合金的团簇成分式为[Al-Co_(12)]Co_(1.1)Al_(0.4)W_(1.4)(～[Al-Co_(12)]Co_(1.0)Al_(0.5)W_(1.5)),其中γ相的团簇成分式为[Al-Co_(12)]Co_(1.6)Al_(0.4)W_(1.0)(～[Al-Co_(12)]Co_(1.5)Al_(0.5)W_(1.0)),γ'相的团簇成分式为[Al-Co_(12)]Co_(0.3)Al_(0.5)W_(2.2)(～[AlCo_(12)]Co_(0.5)Al_(0.5)W_(2.0)).     

以最大原子密度定义合金相中的第一近邻团簇

本文提出利用不同壳层所包含的径向原子密度, 即单位体积内的原子个数随着径向的分布, 来方便而精确地定义团簇, 即具有最大径向原子密度的且表面呈现三角密堆结构的完整壳层为第一近邻团簇. 最后以Al-Ni-Zr合金相为例说明了该方法的合理性与适用性, 及此方法所定义的团簇与非晶形成的关系.     

Li9团簇体心立方结构的形成机理和结合能

本文提出了Li9团簇体心立方结构的形成机理,并对此结构的总能量随中心原子到顶点原子间核间距R的变化用芶氏改进的排列通道量子力学方法(MACQM)进行了计算。结果显示曲线在R = 4.77 a0处有一极小值 -67.160922 a.u.,这表明Li9团簇的体心立方结构是可能稳定存在的。在R趋于无穷大时这9个锂原子的总能量为 -66.852240 a.u.,所以形成Li9的总结合能为0.308682 a.u.。因此Li9 团簇的原子平均结合能是0.034298 a.u.或0.933 eV,它大于我们过去计算的Li5团簇正四面体中心结构的原子平均结合能0.632 eV、Li7 团簇正八面体中心结构的原子平均结合能0.674 eV和Li13 团簇正二十面体中心结构的原子平均结合能0.810 eV。故在体心正多面体结构Lin (n= 5 ,7,9,13)中,Li9的体心立方结构有最大的原子平均结合能,这也许是碱金属晶体的晶胞取体心立方结构的一个原因。     

Au-Pd与Au-Pt合金团簇稳定结构对比

由贵金属元素组成的合金团簇在光、电、磁和催化等领域吸引了广泛的研究兴趣.本文基于多体Gupta势函数采用内核构建的自适应免疫优化算法优化了Au-Pd和Au-Pt团簇最稳定结构.研究结果显示98原子Au-Pd与Au-Pt团簇均包含面心立方结构、十面体、二十面体和Leary四面体结构,但是两者的构型分布上存在着差异.键数变化分析结果显示Au原子分布趋势接近.此外,147原子Au-Pd和AuPt团簇均为完整二十面体结构.序列参数分析显示均形成核层结构.     

源于“团簇-共振”模型的理想金属玻璃电子化学势均衡

理想金属玻璃是指完全满足电子结构稳定性的金属玻璃. 在我们前期工作中提出的“团簇加连接原子"及理想金属玻璃的“团簇-共振"结构模型的 基础上, 本文指出理想金属玻璃应该满足电子化学势均衡判据, 可定量给出团簇与连接原子的比例, 最终确定了理想金属玻璃成分式[团簇](连接原子)_x. 运用此判据, 解析了Cu-Zr基和Co-B基块体金属玻璃, 实验确定的最佳形成能力成分满足电子化学势均衡.     

液态Ga-In合金中的团簇分离现象

与以往试验及模拟计算方法不同,文章利用从头计算分子动力学研究了液态Ga, In及Ga-In合金的偏结构. 发现合金偏双体相关函数gGaGa(r), gInIn(r)的第一峰的位置分别与液态纯Ga和纯In的第一峰 位置接近, gGaIn(r)第一峰位置大于纯Ga和纯In第一峰位置的平均值,说明液态Ga-In合金中异类原子 呈现排斥倾向, Ga-Ga, In-In团簇更容易出现.在纯Ga, 纯In中占据最高含量的1311键对在液态合金中占主导 地位,说明Ga-Ga, In-In团簇共存于液态Ga-In合金中. Voronoi多面体分析发现,随着In含量的增加, 在Ga_100-xIn_x(30 ≤x≤qslant 50 at.% ) 区域内, Ga原子周围主配位数出现突变,由12降为10,证明Ga-Ga和In-In团簇倾向于分离.该研究结果不同于 通常的微观不均匀模型,揭示了液态Ga-In合金中团簇分离的机制.     

Electronic origin of solid solution softening in bcc molybdenum alloys

The intrinsic mechanism of solid solution softening in bcc molybdenum alloys due to 5d transition metal additions is investigated on the basis of ab initio electronic-structure calculations that model the effect of alloying elements on the generalized stacking fault (GSF) energies. We demonstrate that additions with an excess of electrons (Re, Os, Ir, and Pt) lead to a decrease in the GSF energy and those with a lack of electrons (Hf and Ta) to its sharp increase. Using the generalized Peierls-Nabarro model for a nonplanar core, we associate the local reduction of the GSF energy with an enhancement of double kink nucleation and an increase of the dislocation mobility, and we reveal the electronic reasons for the observed dependence of the solution softening on the atomic number of the addition.     

A phase-field model for elastically anisotropic polycrystalline binary solid solutions

A phase-field model for modeling the diffusional processes in an elastically anisotropic polycrystalline binary solid solution is described. The elastic interactions due to coherency elastic strain are incorporated by solving the mechanical equilibrium equation using an iterative-perturbation scheme taking into account elastic modulus inhomogeneity stemming from different grain orientations. We studied the precipitate interactions among precipitates across a grain boundary and grain boundary segregation–precipitate interactions. It was shown that the local pressure field from one coherent precipitate influences the shape of precipitates in other grains. The local pressure distribution due to primary coherent precipitates near the grain boundary leads to inhomogeneous solute distribution along the grain boundary, resulting in non-uniform distribution of secondary nuclei at the grain boundary.     

Hardness of Al-based quasicrystals evaluated via cluster-plus-glue-atom model

In this paper, the hardness of ternary Al-based quasicrystals was assessed through an application of the cluster-plus-glue-atom model. In this model, any structure is decomposed into a first-neighbour strongly bonded cluster part and second-neighbour weakly bonded glue-atom part so that the overall structural information is condensed into a local structural unit [cluster](glue atom)_x. For quasicrystals, the averaged local units are formulated as [icosahedron] TM_0,1(Transition Metal) and could be visualized as single icosahedron packing. Then, the hardness of quasicrystals was related to the rupture of weak inter-cluster bonds. Typically, theoretical hardness values of 8–9?GPa were obtained using 19 broken inter-cluster bonds, which accounts for about half of all the surface bonds of an icosahedron in the Mackay-type environment. The unit cluster formulas would act as rigid units during deformation and cracking.     

Residual resistivity in Ni-Fe-Cr/V alloys and the two-current model

The resistivity of a large number of Ni-Fe-Cr/V alloys has been measured at 77 K. An attempt has been made to explain the concentration dependence of resistivity in the light of Mott’s two-current model. It is seen that contrary to earlier observation, the model is applicable to a larger range of concentration for the Ni-Fe-Cr series. Appreciable deviation from the model starts for Fe concentration exceeding about 15 at. % and Cr about 7 to 8 at. %. However, for similar concentration range in Ni-Fe-V series, disagreement between the experimental and theoretical results is more pronounced.     

Fast solute diffusion in solid and supersaturated solid solutions

In this paper, we review the experimental data concerning fast diffusion of solute in Pb matrix and Pb (solute) solid solutions. Using both calorimetric and radiotracer techniques the temperature dependence of solute diffusion coefficients in Pb (solute) supersaturated solid solutions is determined. On the basis of experimental results it is shown that these coefficients can only be understood by assuming different defect states for solutes in solid and supersaturated solid solutions.     

Ising model for the alloys according to the effective field theory

FeAl alloys in their disordered structural phase have been investigated through an Ising model where besides exchange interactions between nearest-neighbors Fe atoms, a superexchange interaction mediated by Al atoms is also taken into account. The model has been approximately treated according to the effective field theory. Although the phase diagram, as a function of Al concentration, is similar to the one previously obtained from Bogoliubov variational approach for the free energy, a different behavior for the superexchange interaction is achieved, which can also be physically accepted for this system.     

Subdominant critical singularities in the bcc Ising model

In order to analyze coalescing singularities using series expansion, a modification of the method introduced by Baker and Hunter is proposed. The Padé approximants on the Mellin transform are computed simultaneously for the initial series and its derivatives, allowing unbiased estimates for the critical parameters. The method is applied to the series generated by Nickel for various values of the spin in the bcc Ising model. We show that even with these longer series, the subdominant indices display large variation with the spin, and remain too small compared to the universal renormalization group prediction. However, the method does not detect other singularities in the temperature plane which are responsible for the observed discrepancy. Therefore the discrepancy is not significant.