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Last update:
2026-03-26
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. Lattice 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. Crystallographic 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
6.2. Origin Choice
6.3. Choice of Axes and Axis Transformation
6.4. HM Symbols Where Order Matters
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)
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4. Brute-force Calibration
5. Macro Function
6. Other Tools
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