Why Nishiyama-Wasserman (N-W) crystallographic orientation relationship is denoted by some authors as:
{110}a//{111}g, a//g
while others use:
{011}a//{111}g, a//g ?
a - alpha
g - gamma
Rajesh Prasad
The two representations are crystallographically equivalent. That is, the same orientation relationship can be represented either as
{110}a//{111}g, a//g
or as
{011}a//{111}g, a//g.
The first relation says that a plane of type {110} of alpha is parallel to a plane of type {111} of gamma and a direction of type is parallel to a direction of type . This fixes the orientation of the gamma crystal with respect to the alpha crystal. For this same orientation a direction of type will also be parallel to a direction of type . Thus we have the second relation.
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