Anthony Kelly - Crystallography and Crystal Defects

16 1Figure A1.1 The addition of two vectors, aand b, to produce a third resulta...Figure A1.2 The components a x, a yand a zof a vector areferred to three axe...Figure A1.3 The vector product a× b= (| a|| b| sin θ ) of two vectors Figure A1.4 The definition of the reciprocal lattice vector a*: the directio...Figure A1.5 The plane ( hkl ) in the real crystal making intercepts of a/ h , b/Figure A1.6 An anticlockwise rotation of θ about ncarrying the point x

17 2Figure A2.1 (a) Sphere of projection. (b) The angle between two planes is eq...Figure A2.2 Projections of poles on the surface of a sphere onto a flat piec...Figure A2.3 (a) Stereographic projection. (b) A small circle projects as a c...Figure A2.4 (a) Poles of a cubic crystal. (b) Stereogram of a cubic crystal...Figure A2.5 Construction of a small circle about the centre of the primitive...Figure A2.6 Rotation of the sphere of projection in Figure A2.5 by 90° about...Figure A2.7 Construction of a small circle about a pole within the primitive...Figure A2.8 Construction of a small circle about a pole on the primitiveFigure A2.9 To find the opposite of a given poleFigure A2.10 An alternative view of the construction in Figure A2.9 to show ...Figure A2.11 To find the pole of a great circleFigure A2.12 To find the angle between two polesFigure A2.13 (a) Projection of lines of latitude and longitude to make the W...Figure A2.14 (a) Stereographic projection of two poles and . (b) Rotation...Figure A2.15 To find the trace of a pole using the Wulff net.Figure A2.16 Rotation of poles about an axis B lying on the primitive.Figure A2.17 Rotation of poles about an inclined axis.Figure A2.18 Two‐surface analysisFigure A2.19 The fundamental projectional geometry of the stereographic proj...Figure A2.20 Geometry to show that any sphere inverts into a sphereFigure A2.21 Geometry to show that a stereographic projection is angle true...

18 4Figure A4.1 Relationship between the conventional hexagonal unit cell with c...Figure A4.2 Unit cells in the rhombohedral lattice. (a) Obverse setting of r...

19 6Figure A6.1 Illustration of the relationship between a pure shear and a simp...

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