Crystallographic orientation Sample frame ND RD Rotation matrix g ) Sample frame (S) TD orthogonal,preferably right-handed frame Preferably chosen according to important mathematical description of orientations directions or surfaces associated with specimen ·rolling:RD,TD.ND crystallographic orientation g: uniaxial (e.g.tension/compression): 100j 01 ·principal axis:Z, rotation to transform the sample frame {S) .X.Y perpendicular(arbitrary) into the crystal frame (C) 001 {C=g·S) [100 [010 Crystal frame g:3x3 rotation matrix crystal frame C=(c.c2.ca)specified by directions in the crystal choice,in principle,arbitrary.yet conveniently adapted to crystal symmetry B11 12 g13 cubic crystal symmetry a=b=c,a=B=Y=90° (C.C2.ca)=100).[010L [001) g= 821 822 823 orthogonal symmetry (cubic,tetragonal,orthorhombic) 831 832 833 a≠b≠C,t=B=Y-90° normalisation of axes a.b.c to unity (l.e.divide x.y.z by lattice constants a.b.c) 7Crystallographic orientation 7