From 0ae7ed89155606c446e8d4b7c9c8c10807840841 Mon Sep 17 00:00:00 2001 From: Andreas Grois Date: Wed, 4 Nov 2015 10:11:58 +0100 Subject: Update README.md --- README.md | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) (limited to 'README.md') diff --git a/README.md b/README.md index 0d2df3b..0da0f4a 100644 --- a/README.md +++ b/README.md @@ -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. -- cgit v1.2.3