The stereochemical properties of the ultracold ground state OH molecule in
the presence of electric and magnetic fields are currently of considerable
interest. For example, relevant quantities such as molecular alignment and
orientation, calculated numerically by using large basis sets, have lately
appeared in the literature. In this work, based on our recent exact solution to
an effective eight-dimensional matrix Hamiltonian for the molecular ground
state, we present analytic expressions for the stereochemical properties of OH.
Our results require the solution of algebraic equations only, agree well with
the aforementioned fully numerical calculations, provide compact expressions
for simple field geometries, allow ready access to relatively unexplored
parameter space, and yield straightforwardly higher moments of the molecular
axis distribution.Comment: 8 pages, 9 figure
