Journal of Cluster Science

, Volume 29, Issue 3, pp 459–468 | Cite as

Computational Studies on the ScnNm (n + m=10) Clusters: Structure, Electronic and Vibrational Properties

  • Cheng-Gang Li
  • Jin-Cheng Zhou
  • Yan-Fei HuEmail author
  • Bao-Zeng Ren
  • Jun-Tao Bai
  • Xian-Ke Hu
  • Wen Yang
Original Paper


Besides the size and structure, compositions also dramatically affect the properties of clusters. In fact, the increased degree of freedom poses much more challenges to determine the global minimum structure of multi-component clusters. In this thesis, based on the CALYPSO structure searching method, the global minimum structures are obtained for ScnNm (n + m=10) clusters at PW91/6-311+G(d) level. The growth behavior indicates that the cage unit tends to arrange into the compact configurations, and the occupied positions of N atoms shift from the surface towards the center of coordination site with the increasing number of Sc atoms. The relative stabilities have been discussed by analyzing the average binding energies and HOMO–LUMO gaps. In addition, the molecular orbitals, dipole moments, polarizability, hyperpolarizabilities, natural population, natural electron configuration, and Infared and Raman spectra calculations allow complete characterization of the electronic and vibrational properties for the global minimum structural clusters.


CALYPSO Density functional theory Sc and N 



The authors are grateful to Natural Science Foundation of China (Grant no. 11647030), the China Postdoctoral Science Foundation funded project (Grant No. 2017M623310XB), Education Department of Sichuan province (Grant number 17ZA0278), and Sichuan University of Science and Engineering (Grant Nos. 2015RC44 and 2013RC10). Henan Postdoctoral Science Foundation (2015020) and the Key Scientific Research Project of Henan College (17A140031 and 17B480003), Science and Technology Plan Projects of Henan Province (172102210115), Innovative and experimental project of undergraduates (DCZ2016004 and DCZ2016007). This work was supported by Sichuan University of Science and Engineering High Performance Computing Center of Science and Engineering provided computational.

Supplementary material

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Supplementary material 1 (DOC 1280 kb)


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Cheng-Gang Li
    • 1
    • 2
  • Jin-Cheng Zhou
    • 1
  • Yan-Fei Hu
    • 3
    • 4
    Email author
  • Bao-Zeng Ren
    • 2
  • Jun-Tao Bai
    • 1
  • Xian-Ke Hu
    • 1
  • Wen Yang
    • 1
  1. 1.College of Physics and Electronic Engineering, Quantum Materials Research CenterZhengzhou Normal UniversityZhengzhouChina
  2. 2.School of Chemical Engineering and EnergyZhengzhou UniversityZhengzhouChina
  3. 3.School of Physics and Electronic EngineeringSichuan University of Science and EngineeringZigongChina
  4. 4.National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid PhysicsChina Academy of Engineering PhysicsMianyangChina

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