Fundamentals of X-Ray Crystallography

内容简介

    Fundamentals of X-Ray Crystallography is the
condensation and crystallization of the author's over 50 years of
scientific research and teaching experience. In order to help
readers to understand crystallography theory, to establish vivid
three dimensional concepts of symmetry operations, simple geometry
concepts and methods are employed in the analysis and derivation of
the symmetry principles and diffraction theory in this book. This
book is divided into three sections: fundamental principle of
geometric crystallography, symmetry principle in the microscopic
space and fundamental principles of crystal X-ray diffraction.In
Section I and Section II, with the application of consistency
principle between the distribution of general symmetry equivalent
points and the spatial symmetry,the macroscopic and microscopic
symmetry and their combinations are intensively analyzed and
discussed. The 32 point groups and 230 microscopic symmetry
combinations are systematically derived as well. In Section III,
based on the relation between crystal lattice and its reciprocal
lattice, the mathematical model of reciprocal lattice, Ewald sphere
and their relations are adopted in the elucidation of Laue Equation
and Bragg Reflection Equation. Several important single crystal
diffraction measurement methods, instruments and their applications
are also illustrated. In addition, through the principles of
systematic absence of reciprocal lattice caused by microscopic
translations, the systematic absence principle of diffraction is
illustrated. The 120 diffraction groups are derived as well.

目录

Foreword to the 2nd Edition
Foreword to the 1st Edition
Preface of the 1st Edition
Section Ⅰ Fundamental Principles of Geometric Crystallography
  Chapter 1 Principal Characteristics of Crystalline
Solids
    1.1.1 Periodicity of internal crystal
structure
    1.1.2 Space lattice and crystal lattice
    1.1.3 Other basic properties of crystal
  Chapter 2 The Identity Theorem of the Facial Angle
    1.2.1 Apparent crystal face and actual crystal
face
    1.2.2 Identity of the crystal faces angles
    1.2.3 Crystal projections
  Chapter 3 Principles of Crystal Symmetry
    1.3.1 Symmetry and symmetry in crystals
    1.3.2 Identity,symmetry center,and reflection
plane
    1.3.3 Symmetry axis(rotation symmetry
axis)
    1.3.4 Rotoinversion axes Lni
    1.3.5 Rotoreflection axes Lns
  Chapter 4 Combination of Symmetry Elements
    1.4.1 Symmetry element combinations without the
generation of higher-fold rotation axes
    1.4.2 Symmetry element combinations involving
only 1 higher-fold axis
    1.4.3 Intersection of higher-fold axes with
symmetry planes in a perpendicular position
  Chapter 5 Symmetry Combinations Allowed in Crystals
    1.5.1 Symmetry combinations involving no more
than 1 higher-fold axis
    1.5.2 Combination of symmetry axes involving
more than 1 higher-fold axis
    1.5.3 Combination of symmetry axes involving
more than one high-fold axis with one symmetry plane
  Chapter 6 Orientation of Crystals and Crystal Systems
    1.6.1 Zone and zone axis
    1.6.2 Orientation of Crystals
    1.6.3 Classification of Crystal Systems
  Chapter 7 Crystal Face Indices and Crystal Edge
Indices
    1.7.1 Crystal Face Indices
    1.7.2 Crystal Edge Indices
    1.7.3 Relationship Between Edge Indices and Face
Indices
  Chapter 8 The Equivalent Point Set
    1.8.1 The General and Special Equivalent Points
sets
    1.8.2 Orientation of the international notations
of point groups
    1.8.3 The deduction of coordinates for
equivalent point sets
    1.8.4 Numbers and coordinates of the equivalent
points in equivalent point sets
  Chapter 9 Monomorphous crystal forms, composite crystal
forms, and their examples
    1.9.1 Monomorphous crystal form
    1.9.2 Composite crystal form
Section Ⅱ Symmetry Principle of Microscopic Space
  Chapter 1 Translati