### 金属掺杂的CeO2体系电子结构和氧离子迁移能的DFT+U研究

1. a 内蒙古科技大学材料与冶金学院 包头 014010;
b 福州大学化学与化工学院 福州 350108
• 收稿日期:2013-07-01 出版日期:2013-12-14 发布日期:2013-09-16
• 通讯作者: 贾桂霄 E-mail:guixiao.jia@163.com
• 基金资助:

受内蒙古自然科学基金（No. 2010BS0805）和教育部“春晖计划”（No. Z2009-1-01050）项目资助.

### Electronic Structures and Oxygen Ion Migration Energies of Metal Doped CeO2 Systems：A DFT+U Study

Jia Guixiaoa, Hao Wenxinga, Pan Feia, Yang Jichuna, Zhang Yongfanb

1. a School of Materials and Metallurgy, Inner Mongolia University of Science and Technology, Baotou 014010;
b Department of Chemistry, Fuzhou University, Fujian 350108
• Received:2013-07-01 Online:2013-12-14 Published:2013-09-16
• Supported by:

Project supported by the Natural Science Foundation of Inner Mongolia (No. 2010BS0805) and "Chunhui plan" of the Ministry of Education (Z2009-1-01050).

Doping energies of Ca, Ba, Sm and Zr in CeO2 systems and influences of dopings on oxygen ion migration energies and vacancy formation energies were studied using DFT and DFT+U methods. The calculated results showed that the doping energies increased with doping cation radius for doped CeO2 systems without oxygen vacancies, and for doped CeO2 systems with oxygen vacancies, the doping energies were related to the valence of the doping cations besides their radius. Calculations on electronic structures of various doped CeO2 systems showed that Fermi level shifted to the high energy in reduced CeO2, Zr-and Sm-doped CeO2 systems, however, in Ca-and Ba-doped CeO2 systems, negative charges due to the substitution of Ca2+ and Ba2+ with lower chemical valence for Ce4+ and positive charges due to the formation of oxygen ion vacancy were neutralized, so Fermi level scarcely shifted. Ce3+ existed in the reduced CeO2 system and the Zr-doped CeO2 system, which would lead to mixed conductivity with ion and electron one, and electron state of Ce3+ layed between Ce4f and O2p. However, the reduction of Ce4+ was restrained in Ca-, Ba-and Sm-doped CeO2 systems. The migration of an oxygen vacancy was investigated using the nudged elastic band method. The calculated results indicated that a straightforward migration path between two adjacent oxygen sites for oxygen vacancy hopping was obtained. For Ca-, Ba-, Sm-and Zr-doped CeO2 systems, the migration energies of oxygen ions were smaller than that of CeO2 system. In these doped CeO2 systems, the migration energy of oxygen ions for Ba was the smallest and its doping energy are the largest, so Ba was maybe introduced through adding the third class dopant in experiment.