# octahedral plane

## octahedral plane

[¦äk·tə¦hē·drəl ′plān]
(crystallography)
The plane in a cubic lattice having three numerically equal Miller indices.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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A Laue diffraction image taken with the table parallel to the plane of the image (Figure 10) showed that the table facet of the CVD synthetic diamond was oriented approximately 20[degrees] to the {111} octahedral plane, in the {100} cubic direction.
Laue diffraction allows the orientation of the CVD synthetic diamond's table facet to be calculated (Figure 11), showing a deviation from the {100} cubic plane toward the {111} octahedral plane. In general, CVD synthetic diamonds are grown on plates oriented parallel to the {001} plane, producing growth in the <001> direction.
The 'tree ring' growth structure observed with the DiamondView in the table of a 0.61 ct CVD synthetic diamond is due to the crystallographic orientation of the table facet deviating from the {100} cubic direction toward the {111} octahedral plane to produce very shallow angles between the growth planes and the table and crown facets.
Here, the phase [phi] is completely arbitrary, and we show now that it is dictated by the orientation of the shear stresses in a certain octahedral plane. In order to do this, notice that the shear stresses giving the second one of the quantities from equation (8) can be taken as a vector on the octahedral plane, in a reference frame represented by the principal directions of the stress.
Now, take as reference in our octahedral plane the vector (17) for [phi] = 0 (k = 1), when the root of the Hessian is strictly defined by the principal values, i.e.,
However, we are able to say something more: This equilibrium is described by a parameter depending approximately linearly on the degree of advancement of deformation, and representing the angle of orientation of octahedral shear stress in the octahedral plane as referred to the principal directions of the stress tensor.
For the reason that stress tensor invariants are defined through components of spherical part and deviator part of stress function and an assumption about uniformity and isotropic local semispace locality makes it independent of the direction of octahedral planes normals and the expanded modified Mises' fluidity criterion can be resulted in the following form:

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