map

define orientations by pairs of vectors

Syntax

h = Miller({1,0,0},{0,0,1},cs) % two crystal directions
r = [xvector, yvector]         % two specimen directions
ori = orientation.map(h(1),r(1),h(2),r(2))

defines an orientation ori that appears

* in the |(100)| pole figure at position |z| and in the |(001)| pole
figure at position |y|.
* in the |z| inverse pole figure at position |(100)| and in the |y|
inverse pole figure at position |(001)|.

nAlpha = Miller({1,0,0},csAlpha,'hkl')
nBeta  = Miller({0,1,1},csBeta, 'hkl')
dAlpha = Miller({1,1,1},csAlpha,'uvw')
dBeta  = Miller({0,1,-1},csBeta, 'uvw')
mori = orientation.map(nAlpha,nBeta,dAlpha,dBeta)

defines an misorientation that aligns the lattice plane (1,0,0) of the alpha phase with the lattice plane (011) of the beta phase and the lattice direction [111] of the alpha phase with the lattice direction [01-1] of the beta phase.

Input

Output

See also

DefinitionAsCoordinateTransform orientation.byMiller orientation.byAxisAngle orientation.byEuler