Paz-Borbón Lauro Oliver, Mortimer-Jones Thomas V, Johnston Roy L, Posada-Amarillas Alvaro, Barcaro Giovanni, Fortunelli Alessandro
School of Chemistry, University of Birmingham, Edgbaston, Birmingham, UK B15 2TT.
Phys Chem Chem Phys. 2007 Oct 14;9(38):5202-8. doi: 10.1039/b707136a.
The energetics of 98 atom bimetallic Pd-Pt clusters are studied using a combination of: a genetic algorithm technique (to explore vast areas of the configurational space); a basin-hopping atom-exchange routine (to search for lowest-energy homotops at fixed composition); and a shell optimisation approach (to search for high symmetry isomers). The interatomic interactions between Pd and Pt are modelled by the Gupta many-body empirical potential. For most compositions, the putative global minima are found to have structures based on defective Marks decahedra, but in the composition range from Pd46Pt52 to Pd63Pt35, the Leary tetrahedron (LT)--a structure previously identified for 98 atom Lennard-Jones clusters--is consistently found as the most stable structure. Based on the excess energy stability criterion, Pd56Pt42 represents the most stable cluster across the entire composition range. This structure, a Td-symmetry LT, exhibits multi-layer segregation with an innermost core of Pd atoms, an intermediate layer of Pt atoms and an outermost Pd surface shell (Pd-Pt-Pd). The stability of the Leary tetrahedron is compared against other low-energy competing structural motifs: the Marks decahedron (Dh-M), a "quasi" tetrahedron (a closed-packed structure) and two other closed-packed structures. The stability of LT structures is rationalized in terms of their spherical shape and the large number of nearest neighbours.
利用以下方法组合研究了98原子双金属钯 - 铂团簇的能量学:遗传算法技术(用于探索构型空间的广阔区域);盆地跳跃原子交换程序(用于在固定组成下搜索最低能量的同拓扑异构体);以及壳优化方法(用于搜索高对称性异构体)。钯和铂之间的原子间相互作用由古普塔多体经验势建模。对于大多数组成,推测的全局最小值被发现具有基于缺陷马克斯十面体的结构,但在从Pd46Pt52到Pd63Pt35的组成范围内,利里四面体(LT)——一种先前为98原子 Lennard-Jones 团簇确定的结构——始终被发现是最稳定的结构。基于过剩能量稳定性标准,Pd56Pt42代表整个组成范围内最稳定的团簇。这种结构,一种Td对称性的LT,表现出多层分离,最内层是钯原子核心,中间层是铂原子,最外层是钯表面壳层(Pd - Pt - Pd)。将利里四面体的稳定性与其他低能量竞争结构 motif 进行了比较:马克斯十面体(Dh - M)、一个“准”四面体(一种密堆积结构)和另外两种密堆积结构。LT结构的稳定性根据其球形形状和大量最近邻原子进行了合理化解释。