基本素養 Basic Literacy

積極?獵科學新知
關懷自然環境及生態保育

核心能力 Competence

宏觀地球科學專業知識及實務現象觀測
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
地球科學專業知能與科技應用及量化檢測分析能力
外語溝通能力
團隊溝通、協調及領導能力
整合應用地球科學產業專業科技知能及跨領域能力

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

學者可以自行使用群論數學解讀分子對稱特性的變化,並將其應用於解析分子震動的拉曼散射光譜與紅外吸收光譜。

課程進度 Progress Description

進度說明 Progress Description
1Introduction, matrix algebra, definitions and fundamental operations
2Coordinates system, coordinate-transformation, transformation matrix, matrix representations of the symmetry operations
3Coordinates system, coordinate-transformation, transformation matrix, matrix representations of the symmetry operations
4Symmetry elements/operations, symmetry group, symmetry of the molecules in crystal structures
5Matrix representations of the symmetry groups, applied to various molecules
6Basic group theory, definition of a group
7Basic group theory, definition of a group
8Multiplication table, similarity transformation, conjugation, and classes
9Group representations with matrices, reducible and irreducible representations
10Character tables, orthogonality, and reduction of a group representation
11Applications of character tables to physical problems
12Applications of character tables to physical problems
13Translations, rotations and vibrations of molecules, their matrix representations
14Translations, rotations and vibrations of molecules, their matrix representations
15Application of character tables to the vibration spectra of molecules
16Raman scattering spectroscopy
17Raman scattering spectroscopy
18IR absorption spectroscopy
 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.

課程學習融入下列議題或具有下列內涵的程度
Immersing the Following Issues or Contents

議題或內容 Issues or Contents關聯性 Correlation
觀光旅遊產業 Tourism 無相關 No correlation
綠色能源產業 Green Energy Industry 無相關 No correlation
文創產業 Cultural and creative Industry 無相關 No correlation
環境保護 Environmental Protection 無相關 No correlation
人權教育 Human Rights Education 無相關 No correlation
服務學習 Service Learning 無相關 No correlation
性別平等 Gender Equity 無相關 No correlation
法治教育 Law-Related Education 無相關 No correlation
工作實務取向 Pragmatic Orientation 間接相關 Indirect correlation
生命教育 Life Education 無相關 No correlation
智慧財產權 Intellectual Property 無相關 No correlation
環境安全 Environmental Safety 無相關 No correlation
健康醫療照護產業 Health,Medical Treatment, Nursing Industry 無相關 No correlation
精緻農業產業 Advanced Agriculture 無相關 No correlation
生物科技產業 Biotechnology Industry 無相關 No correlation
學術研究取向 Academic Orientation 直接相關 Direct correlation

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