CCL: Making symmetry equivalence atomic orbitals
- From: "Wirawan Purwanto"
<wirawan0::yahoo.com>
- Subject: CCL: Making symmetry equivalence atomic orbitals
- Date: Mon, 11 May 2015 12:57:37 -0400
Sent to CCL by: "Wirawan Purwanto" [wirawan0{}yahoo.com]
Hi,
Can someone give me a pointer to how to make "symmetry equivalenced"
orbitals? I am not that familiar with this terminology, and in some papers this
is mentioned without any citation.
This is my limited understanding of it: in the context of Hartree-Fock
calculation of an isolated atom (say, ROHF calculation of Co atom), the five 3d
orbitals ended up not having the same shape and energy because of the
symmetry-broken configuration (3d7 4s2). The symmetry equivalenced 3d orbitals
would then be obtained by somehow restoring the degenerate nature of these
orbitals (which would raise the variational energy by a little bit). I think
this can also be done for e.g. diatomic molecule where the pix-piy degeneracy
could be broken due to open shell nature of the HF solution.
Here are my questions:
1. Is this understanding correct?
2. What are the step-by-step way to make the symmetry equivalenced orbitals from
the usual ROHF or UHF orbitals? Any reference or program that can do this from a
MO output given by a quantum chemistry program (e.g. GAMESS, molpro...whatever
you like), assuming that I know the composition of the underlying AO basis (i.e.
which function is 1s, ...2px,... 3dxy, and so on).
Thanks,
Wirawan