The static response properties and the structural stability of silverclusters in the size range $1\le n \le 23$ have been studied using a linearcombination of atomic Gaussian-type orbitals within the density functionaltheory in the finite field approach. The Kohn-Sham equations have been solvedin conjuction with a generalized gradient approximation (GGA)exchange-correlation functional. A proof that the finite basis set GGAcalculation holds the Hellmann-Feynman theorem is also included in theAppendix. The calculated polarizabilities of silver clusters are compared withthe experimental measurements and the jellium model in the spilloutapproximation. Despite the fact that the calculated polarizabilities are ingood agreement with both of them, we have found that the polarizability appearsto be strongly correlated to the cluster shape and the highest occupied-lowestunoccupied molecular-orbital gap.
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机译:在有限域方法中,在密度泛函理论中使用原子高斯型轨道的线性组合,研究了尺寸范围为$ 1 \ le n \ le 23 $的银团簇的静态响应特性和结构稳定性。 Kohn-Sham方程与广义梯度近似(GGA)交换-相关函数结合起来求解。附录中还包含有限基集GGA计算保持Hellmann-Feynman定理的证明。将银团簇的计算极化率与实验测量结果和泄漏模型中的胶体模型进行了比较。尽管计算出的极化率与它们两者的吻合度不佳,但我们发现极化率似乎与团簇形状和最高的被占用-最低的未被占用的分子轨道间隙密切相关。
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