基本素養 Basic Literacy

積極?獵科學新知
Explore new science knowledge.
關懷自然環境及生態保育
Care for natural environment and ecological conservation.

核心能力 Competence

宏觀地球科學專業知識及實務現象觀測
Professional knowledge in Geosciences and practical surveys.
地球科學專業文獻資料蒐集及實驗設計與整合操作規劃知能
Professional literature in Geosciences, experimental design, and integrated knowledge of operation.
地球科學專業知能與科技應用及量化檢測分析能力
Professional knowledge in Geosciences and techniques for quantitative analysis.
外語溝通能力
Communication in foreign languages.
團隊溝通、協調及領導能力
Communication, negotiation and leadership on the team.
整合應用地球科學產業專業科技知能及跨領域能力
Integration technical skills and knowledge for geological industry and cross-disciplinary ability.

課程概述 Course Description

先認識矩陣及學習矩陣運算,以矩陣數學為基礎,學習晶體中各類分子的對稱矩陣;並學習群論及其重要原理,利用群論的各項原理將分子的震動、移位及旋轉等運動以群論數學解析,藉以了解晶體中分子的拉曼散射光譜與紅外吸收光譜特性,以及在晶體結構或晶相轉變中的意義。

課程學習目標 Course Objectives

  • 使用群論數學解讀分子對稱特性的變化
  • 以群論數學解析分子震動的拉曼散射光譜與紅外吸收光譜
  • 晶體結構或晶相轉變中的意義
  • 課程進度 Progress Description

    進度說明 Progress Description
    1Introduction, approaches of Raman and IR spectroscopy, matrix algebra
    2Symmetry of molecules, symmetry of crystals, International symbol and Schoenflies notation
    3Coordinates system, transformation, transformation matrices,
    4Matrix representation of symmetry operations, applied to various molecules
    5Basic group theory, group axioms, multiplication tables
    6Properties of group elements, similarity transformation
    7Conjugation and classes
    8Group representations with matrices, reducible and irreducible representations
    9Mid-term exam.
    10Character tables, orthogonality, and reduction of a group representation
    11The orthogonality theorem and its consequences
    12Applications of character tables to physical problems
    13Translations, rotations and vibrations of molecules, their matrix representations
    14Applications of character tables to the vibration spectra of molecules
    15Selection rules, combinations and overtones
    16Evaluation of crystal vibrations: analytical method
    17Evaluation of crystal vibrations: correlation method
    18Evaluation of crystal vibrations: tabular method
     以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.

    有關課程其他調查 Other Surveys of Courses

    1.本課程是否規劃業界教師參與教學或演講? 否
    Is there any industry specialist invited in this course? How many times? No
    2.本課程是否規劃含校外實習(並非參訪)? 否
    Are there any internships involved in the course? How many hours? No
    3.本課程是否可歸認為學術倫理課程? 是,含學術倫理課程 小時
    Is this course recognized as an academic ethics course? In the course how many hours are regarding academic ethics topics? Yes, about hours
    4.本課程是否屬進入社區實踐課程?
    Is this course recognized as a Community engagement and Service learning course? Which community will be engaged?