Seto's Page

Switch to

Last update:

    • Home
    • Curriculum vitae
      • Academic activity
    • Software
      • ReciPro
        • 1. Main Window
        • 2. Goniometer
        • 3. Crystal Structure Viewer
        • 4. Stereonet
        • 5. Diffraction Simulator
        • 6. EBSD Simulator
        • 7. HRTEM/STEM Simulator
        • 8. Spot ID v1
        • 9. Spot ID v2
        • A.1. Coordinate System Definition
        • Tutorial
      • PDIndexer
        • 1. Main Window
        • 2. Profile Information
        • 3. Diffraction Lines / Crystal Information
        • 4. Equation of State
        • 5. Peak Fitting
        • 6. Macro Function
      • IPAnalyzer
        • 1. Main Window
        • 2. Properties
        • 3. Geometric Calibration
        • 4. Brute-force Calibration
        • 5. Macro Function
        • 6. Other Tools
      • CSManager
        • 1. Main Window
      • Common Components
        • C.1 Crystal Information Component
        • C.2 Symmetry Details Component
        • C.4 Crystal Database
        • C.3 Scattering Factor Component
    • Crystallography Basics
      • 1. Crystals and Symmetry
        • 1.1. Translational Symmetry, Lattice Points, and Unit Cells
        • 1.2. Symmetry Operations and Symmetry Elements
        • 1.3. Lattice Parameters, Crystal Systems, and Bravais Lattices
      • 2. Symmetry Operations and Groups
        • 2.1. Matrix Representation of Symmetry Operations and Seitz Notation
        • 2.2. Concepts of Groups, Point Groups, and Space Groups
        • 2.3. Notation for Point Groups and Space Groups (HM Symbols)
        • 2.4. Subgroups and Cosets
        • 2.5. Group Multiplication Table (Cayley Table) and Isomorphism
      • 3. How to Read Space Groups
        • 3.1. Symmetry Elements in Detail and Their Graphical Representation
        • 3.2. Understanding the Diagrams and Tables in ITA
        • 3.3. Site Symmetry and Wyckoff Positions
      • 4. Diffraction and Reciprocal Space
        • 4.1. Crystal Planes and Diffraction
        • 4.2. Reciprocal Lattice Vectors and the Ewald Sphere
        • 4.3. Properties of Reciprocal Space
        • 4.4. Crystal Structure Factor
        • 4.5. Symmetry Operations and Reflection Conditions (Systematic Absences)
        • 4.6. Reflection Conditions (Systematic Absences) and Space Groups
      • 5. Classification of Point Groups and Space Groups, and Subgroup Relations
        • 5.1. Classification of Space Groups
        • 5.2. Crystal Family Point Groups and Their Subgroups
        • 5.3. Subgroups of Space Groups
          • 5.3.1. k-Subgroups
          • 5.3.2. t-Subgroups
          • 5.3.3. Twins and Antiphase Domains
      • 6. Supplementary Notes on Notation, Settings, and Coordinate Systems
        • 6.1. Topics in Trigonal/Hexagonal Crystal Systems
        • 6.3. Choice of Axes and Axis Transformation
        • 6.2. Origin Choice
    • Space Group Database
      • List of Space Groups
      • Wyckoff Positions
        • Wyckoff Positions: Triclinic & Monoclinic
        • Wyckoff Positions: Orthorhombic
        • Wyckoff Positions: Tetragonal
        • Wyckoff Positions: Trigonal & Hexagonal
        • Wyckoff Positions: Cubic
    • Crystal Prototypes
      • A: Elemental Crystals
      • D: XmYn-type Compounds
      • B: XY-type Compounds
      • C: XY2-type Compounds
    • Element Database
      • Periodic Table
      • Detailed Element Data
      • Ionic Radius (Angstrom)
      • Energies of Emission Lines and Absorption Edges (keV)
      • Wavelengths of Emission Lines and Absorption Edges (Angstrom)
      • Atomic Scattering Factors for X-ray
      • Atomic Scattering Factors for Electron
      • Bound Coherent Scattering Lengths
    • Programming
      • Accessing UI from a Non-UI Thread
      • Deep Copy
      • C# Tips
    • Math & Physics for Crystallography
      • Statistics
        • Normal Distribution (Log-normal Distribution) Random Numbers
        • Confidence Interval of Poisson Distribution
      • Geometry and Analysis of Rotation Space
        • Spherical Geometry
        • Rotation Matrices
        • Quaternion Representation of Rotations
        • Rodrigues Space
        • Misorientation Distributions and Symmetry
        • Determinants and the Jacobian
        • Spherical Projection
      • Least Squares, Interpolating Curves, and Bell-shaped Functions
        • Spline Curves
        • Least Squares and Lattice Parameter Refinement
        • Marquardt Method
        • Functional Forms of Diffraction Peaks
      • Physical Properties
        • Equation of State (EOS)
      • Miscellaneous
        • Transcendental Function Formulae (Trigonometric, Logarithmic, Exponential)
«List of Space Groups

Wyckoff Positions

Wyckoff Positions: Triclinic & Monoclinic»

  • 三斜晶系, 単斜晶系 (Triclinic, Monoclinic)
  • 直方晶系 (Orthorhombic)
  • 正方晶系(Tetragonal)
  • 三方晶系, 六方晶系(Trigonal, Hexagonal)
  • 立方晶系 (Cubic)
«List of Space Groups
Wyckoff Positions: Triclinic & Monoclinic»
    • Home
    • Curriculum vitae
      • Academic activity
    • Software
      • ReciPro
        • 1. Main Window
        • 2. Goniometer
        • 3. Crystal Structure Viewer
        • 4. Stereonet
        • 5. Diffraction Simulator
        • 6. EBSD Simulator
        • 7. HRTEM/STEM Simulator
        • 8. Spot ID v1
        • 9. Spot ID v2
        • A.1. Coordinate System Definition
        • Tutorial
      • PDIndexer
        • 1. Main Window
        • 2. Profile Information
        • 3. Diffraction Lines / Crystal Information
        • 4. Equation of State
        • 5. Peak Fitting
        • 6. Macro Function
      • IPAnalyzer
        • 1. Main Window
        • 2. Properties
        • 3. Geometric Calibration
        • 4. Brute-force Calibration
        • 5. Macro Function
        • 6. Other Tools
      • CSManager
        • 1. Main Window
      • Common Components
        • C.1 Crystal Information Component
        • C.2 Symmetry Details Component
        • C.4 Crystal Database
        • C.3 Scattering Factor Component
    • Crystallography Basics
      • 1. Crystals and Symmetry
        • 1.1. Translational Symmetry, Lattice Points, and Unit Cells
        • 1.2. Symmetry Operations and Symmetry Elements
        • 1.3. Lattice Parameters, Crystal Systems, and Bravais Lattices
      • 2. Symmetry Operations and Groups
        • 2.1. Matrix Representation of Symmetry Operations and Seitz Notation
        • 2.2. Concepts of Groups, Point Groups, and Space Groups
        • 2.3. Notation for Point Groups and Space Groups (HM Symbols)
        • 2.4. Subgroups and Cosets
        • 2.5. Group Multiplication Table (Cayley Table) and Isomorphism
      • 3. How to Read Space Groups
        • 3.1. Symmetry Elements in Detail and Their Graphical Representation
        • 3.2. Understanding the Diagrams and Tables in ITA
        • 3.3. Site Symmetry and Wyckoff Positions
      • 4. Diffraction and Reciprocal Space
        • 4.1. Crystal Planes and Diffraction
        • 4.2. Reciprocal Lattice Vectors and the Ewald Sphere
        • 4.3. Properties of Reciprocal Space
        • 4.4. Crystal Structure Factor
        • 4.5. Symmetry Operations and Reflection Conditions (Systematic Absences)
        • 4.6. Reflection Conditions (Systematic Absences) and Space Groups
      • 5. Classification of Point Groups and Space Groups, and Subgroup Relations
        • 5.1. Classification of Space Groups
        • 5.2. Crystal Family Point Groups and Their Subgroups
        • 5.3. Subgroups of Space Groups
          • 5.3.1. k-Subgroups
          • 5.3.2. t-Subgroups
          • 5.3.3. Twins and Antiphase Domains
      • 6. Supplementary Notes on Notation, Settings, and Coordinate Systems
        • 6.1. Topics in Trigonal/Hexagonal Crystal Systems
        • 6.3. Choice of Axes and Axis Transformation
        • 6.2. Origin Choice
    • Space Group Database
      • List of Space Groups
      • Wyckoff Positions
        • Wyckoff Positions: Triclinic & Monoclinic
        • Wyckoff Positions: Orthorhombic
        • Wyckoff Positions: Tetragonal
        • Wyckoff Positions: Trigonal & Hexagonal
        • Wyckoff Positions: Cubic
    • Crystal Prototypes
      • A: Elemental Crystals
      • D: XmYn-type Compounds
      • B: XY-type Compounds
      • C: XY2-type Compounds
    • Element Database
      • Periodic Table
      • Detailed Element Data
      • Ionic Radius (Angstrom)
      • Energies of Emission Lines and Absorption Edges (keV)
      • Wavelengths of Emission Lines and Absorption Edges (Angstrom)
      • Atomic Scattering Factors for X-ray
      • Atomic Scattering Factors for Electron
      • Bound Coherent Scattering Lengths
    • Programming
      • Accessing UI from a Non-UI Thread
      • Deep Copy
      • C# Tips
    • Math & Physics for Crystallography
      • Statistics
        • Normal Distribution (Log-normal Distribution) Random Numbers
        • Confidence Interval of Poisson Distribution
      • Geometry and Analysis of Rotation Space
        • Spherical Geometry
        • Rotation Matrices
        • Quaternion Representation of Rotations
        • Rodrigues Space
        • Misorientation Distributions and Symmetry
        • Determinants and the Jacobian
        • Spherical Projection
      • Least Squares, Interpolating Curves, and Bell-shaped Functions
        • Spline Curves
        • Least Squares and Lattice Parameter Refinement
        • Marquardt Method
        • Functional Forms of Diffraction Peaks
      • Physical Properties
        • Equation of State (EOS)
      • Miscellaneous
        • Transcendental Function Formulae (Trigonometric, Logarithmic, Exponential)

Seto's Page

Stupidity has a certain charm; ignorance does not. Frank Zappa