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先修课程、其它学习要求
Pre-requisites or Other
Academic Requirements
MSE203 晶体学 Crystallography
后续课程、其它学习规划
Courses for which this
course is a pre-requisite
其它要求修读本课程的学系
Cross-listing Dept.
本课程针对有一定材料或固体物理基础的本科生和研究生。本课程将系统介绍计算材料科学中的密度泛函理
论、分子动力学、多体量子力学方法的原理和适用范围,并通过使用前沿的科学计算软件和上机实习让学生去
体验这些方法在半导体电子学、太阳能电池、锂离子电池、材料生长等领域的具体应用。
This course is designed for undergraduate and graduate students with knowledge of materials
science or solid-state physics. It will introduce the fundamental theories and applications of
three major methods used in Computational Materials Science: the Density Functional Theory,
Molecular Dynamics, and Many-body Quantum Theory. Students will be given opportunities to learn
the cutting-edge software and hands-on practices to experience the applications of these methods
in the study of semiconductor electronics, solar cells, lithium-ion battery, and materials
growth, etc.
完成相关学习后,学生将对计算材料科学的重要性、主要研究方法、适用范围有基本认识。学会利用目前主
流的科学计算软件去解决多个研究领域中的实际问题。
After this course, the students will understand the significance of Computational Materials
Science, the major theories and tools, and their applications. Students will understand the
procedures of utilizing cutting-edge software to address the relevant scientific issues in
several research fields.
课程内容及教学日历 (如授课语言以英文为主,则课程内容介绍可以用英文;如团队教学或模块教学,教学日历须注明
主讲人)
Course Contents (in Parts/Chapters/Sections/Weeks. Please notify name of instructor for course section(s), if
this is a team teaching or module course.)
计算材料科学概述—Overview of Computational Materials Science(4 Credit Hours)
This section introduces the unique role of Computational Materials Science in nowadays
scientific researches. Several scientific concepts and computational tools that go through the
whole course will be introduced.
密度泛函基础—Fundamentals of Density Functional Theory(20 Credit Hours)
This section introduces the Density Functional Theory, covering its history, comparison with
other methods, major capabilities/limitations, and critical settings/parameters to obtain
reliable structural, electronic, optical, thermodynamical, and dynamical results.
密度泛函方法上机练习—Hands-on practice using Density Functional Theory(12 Credit Hours)
Students will utilize the VASP code to perform convergence tests, and to calculate and analyse
total energy, structure, band structure, elastic modulus, piezoelectricity, IR/Raman spectrum,
phonon spectrum, and activation barrier in several fields.
分子动力学基础—Introduction to Molecular Dynamics(4 Credit Hours)