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Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and texture Interfaces, orientation relationships.

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Presentation on theme: "Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and texture Interfaces, orientation relationships."— Presentation transcript:

1 Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and texture Interfaces, orientation relationships Homogeneous deformations Crystallography H. K. D. H. Bhadeshia

2 The Metric Tensor

3 Orthorhombic

4 cementite

5 cubictetragonalorthorhombic hexagonal trigonal monoclinic triclinic

6

7 Kurdjumov-Sachs orientation

8 A. Ali X Y 

9

10

11 X Y 

12 Bagaryatski orientation relationship, cementite and ferrite

13

14

15

16 Axis-Angle Pairs

17

18

19 Symmetry related axis-angle pairs

20

21 Homogeneous Deformations

22 The Bain strain

23

24

25 pure strain matrix symmetrical referred to principal axes principal axes are unrotated volume change = determinant of (A S A) =

26

27

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