## Thursday, 23 February 2012

### On reflection, transforming molecules is tricky

I've just spent quite some time trying to get the mirror-image of a chiral ligand in a metal-ligand complex. It took me a good while to figure out how to do it, so here it is for the record.

The solution uses a combination of Open Babel's API and Numpy. Open Babel can calculate the required transformation matrix given the normal to the mirror plane. To get the normal, we just need three points in the plane, from which we can derive two vectors (it doesn't matter which) which lie in the plane. The cross product of the two vectors is a vector that is orthogonal to both (that's a property of cross products), and thus is a normal to the plane.

It should be possible to do all of the maths with Open Babel, but whatever way the matrix3x3 and vector3 classes are implemented, it doesn't translate into Python (at least not without segfaults). So that explains why I've had to convert to Numpy arrays and do the maths there.