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@@ -25,6 +25,7 @@ Fritz, Torsten: Molecular Architecture in Heteroepitaxially Grown Organic Thin F
Dresden: sfps - Wissenschaftlicher Fachverlag, 1999
ISBN: 3-934264-50-6
+
The advantage of this script compared to the original work of T. Fritz is, that this
program does not use a brute-force approach, but instead determines ranges of possible
values for the angle between the first lattice vectors of the interface unit cell of
@@ -43,15 +44,17 @@ integer, one is dealing with a commensurate lattice match.
The epitaxy matrix, as given in the work quoted above, reads:
+```math
( px, qy )
( qx, py )
-
+```
with:
+```math
px=b1*sin(alpha-theta)/(a1*sin(alpha))
qx=b2*sin(alpha-theta-beta)/(a1*sin(alpha))
qy=b1*sin(theta)/(a2*sin(alpha))
py=b2*sin(theta+beta)/(a2*sin(alpha))
-
+```
There are two reasons for the length of this program:
o) asin isn't unique.
o) ranges of angles are a pain to deal with.