From JSMCM@jazz.ucc.uno.edu  Wed May 17 01:37:13 1995
Received: from jazz.ucc.uno.edu  for JSMCM@jazz.ucc.uno.edu
	by www.ccl.net (8.6.10/930601.1506) id BAA20952; Wed, 17 May 1995 01:30:36 -0400
Received: from jazz.ucc.uno.edu by jazz.ucc.uno.edu (PMDF #2820 ) id
 <01HQL931M44G8WXVBP@jazz.ucc.uno.edu>; Wed, 17 May 1995 00:29:51 CST
Date: 17 May 1995 00:29:51 -0600 (CST)
From: JORGE <JSMCM@jazz.ucc.uno.edu>
Subject: Is DFT ab initio?
To: CHEMISTRY@ccl.net
Message-id: <01HQL931M44I8WXVBP@jazz.ucc.uno.edu>
X-VMS-To: IN%"CHEMISTRY@ccl.net"
X-VMS-Cc: JSMCM
MIME-version: 1.0
Content-type: TEXT/PLAIN; CHARSET=US-ASCII
Content-transfer-encoding: 7BIT


On The Question: Is DFT an ab initio method?

From my dictionary:
Theory        = System of rules and principles
Empirical     = Relying  on experimental information
Empirical     = Relying on experience [what about theoretical experience?]
Empirical     = Not Relying on theory
Approximation = very near, nearly correct

My understanding of a pure ab initio method is of any method that solves
(exactly or approximately) the Schrodinger equation, this means: using only
the principles of quantum mechanics and not using empirical or other
information extrapolated, interpolated, or transferred from other system(s).

Whether the method is a very rough approximation, is not going to eliminate
its ab initio character. In this sense, we have a spectrum of methods from the
very precise to the very inaccurate ones, forcing us to a trade-off because
the cost of the method is usually a direct function of its precision.

In general any practical computational method will be part ab initio
and part empirical in character, and it is not much subjective to determine
if a given method can be classified as ab initio, empirical or semiempirical.

The selection and use of a basis set is always based on experience;
whether, theoretical or experimental, one can always create or improve
a basis set based on how it behaved in earlier calculations. The basis set is
telling your method the spectral region to look for the solutions but it does
not constitute the solution itself.

A fully 100% analytical ab initio method would be limited to the solution
of the hydrogen-like atoms.

Another pure 100% ab initio, but nevertheless approximated method,
would be any of those variational-perturbational methods that solves
the helium-like atoms with about 15 figures!! of precision, and where
the basis set has been chosen with the only criteria of the lowest possible
energy.

Then come our standard ab initio methods, based on the central
field approximation, or HF-based methods (HF, MP, CC, CI, MRHF,...)
with several degrees of accuracy and several degrees of small empirical
(due to experiment or experience from earlier calculations) corrections
and truncations. We call all of them ab initio, and there is an implicit
understanding that this is where our definition of ab initio is settled.
Small corrections to those methods, like 10% correction to the ZPE do not
change our attitude toward the ab initio character of the
methods. There exists the accepted Gaussian2 theory where
corrections, not necessarily small, are made to the energies based on
precise experimental results.

Neither our ability to improve the level of theory would exclude
the ab initio character of a method.

Now to the question if DFT methods are ab initio:
First of all, you CAN derive DFT directly from the Schrodinger
equation even without recurring, as in HF methods, to the central field
approximation. The fact that a well defined but nowadays unsolvable
functional shows up can not exclude the ab initio character of
DFT. As in any of the ab initio methods above, approximations are
made. A classification could be done whether the functional was
derived using entirely first principles information or if it was
obtained by using experimental or other transferred information
Only on those cases where the functional is empirical, the 
particular DFT method can be catalogued as semiempirical.

Functionals like the local approximation, gradient approximation
are exact functionals (up to their order) and are obtained from
pure first principles arguments. The GGA of Perdew and Wang
for exchange-correlation, PW91, is strictly ab initio and there
are evidence that it performs as well as QCI and MP4 methods.
A predecessor to the PW91, the PW86, has been used with systems
containing up to transition metals with great success.
DFT methods can also be developed using fully numerical techniques, like in
Becke's Numol, eliminating the use of basis sets. Using this method
together with one of the ab initio functionals yields a 100% ab initio
procedure, i.e., more ab initio than any of the standard ones.

VERDICT:  We find DFT ab initio

Jorge Seminario
jsmcm@jazz.ucc.uno.edu


From ahirasim@agr.kyushu-u.ac.jp  Wed May 17 04:52:18 1995
Received: from nogakubu.agr.kyushu-u.ac.jp  for ahirasim@agr.kyushu-u.ac.jp
	by www.ccl.net (8.6.10/930601.1506) id EAA23082; Wed, 17 May 1995 04:47:29 -0400
Received: from [133.5.200.49] (pestic3.ach.agr.kyushu-u.ac.jp [133.5.200.49]) by nogakubu.agr.kyushu-u.ac.jp (8.6.9+2.4W/3.4Wbeta3) with SMTP id RAA25814 for <chemistry@ccl.net>; Wed, 17 May 1995 17:48:08 +0900
Message-Id: <199505170848.RAA25814@nogakubu.agr.kyushu-u.ac.jp>
Date: Wed, 17 May 1995 17:50:47 +0900
To: chemistry@ccl.net
From: ahirasim@agr.kyushu-u.ac.jp (Akinori Hirashima)
X-Sender: ahirasim@nogakubu.agr.kyushu-u.ac.jp
Subject:  CCL:  web for chemistry: addition to summary
Return-Receipt-To: ahirasim@agr.kyushu-u.ac.jp
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-2022-jp
X-Mailer: Eudora-J(1.3.8.5-J13)


Dear Netters:

Recently I have posted a question concerning web for chemistry  and its
summary. 
I would like to express my sincere gratitude to the netters whose responses
I received.
Some of the replies were very helpful.

I woul like to add non-USA sites to USA sites reported in my previous summary:

http://www.shef.ac.uk/uni/academic/A-C/chem/chemistry-www-sites.html
http://www.uia.ac.be/u/thys/chem.html
http://www.ch.cam.ac.uk/ChemSites.html
http://www.uia.ac.be/u/thys/chem.html
http://hackberry.chem.niu.edu:70/0/webpage.html
http://www.chem.vt.edu/Yip/www.html
http://boris.qub.ac.uk/edward/index.html
http://wwwhost.cc.utexas.edu/world/instruction/index.html
http://www.rpi.edu/dept/chem/cheminfo/chemres.html
http://www.yahoo.com/Science/Chemistry/
http://www.latrobe.edu.au/chejs/chem.html
http://www.ch.ic.ac.uk/GIC/
http://www.oxmol.co.uk
http://www.csc.fi/lul/chem/graphics.html
http://www.rpi.edu/dept/chem/cheminfo/chemres.html
http://galaxy.einet.net/galaxy/Science/Chemistry.html
http://www.eecs.wsu.edu/IRL/ANIM/Anim.html#anims
http://strange.engr.washington.edu/index.html
http://www.geom.umn.edu/
http://csdvx2.ccdc.cam.ac.uk/
http://www.lib.utexas.edu/Libs/Chem/first/mallet.html
http://www.polymers.com/phoenix.html
http://pctc.chemie.uni-erlangen.de/fakultaet/chemie.html
http://www.pc.chemie.th-darmstadt.de/
http://www.chemie.fu-berlin.de/index.html
http://tci002.uibk.ac.at:80/noy/
http://www.chem.csiro.au/
http://www.uia.ac.be/u/thys/index.html
http://www.netlib.org/index.html
http://wucmd.wustl.edu/index.html
http://www.jungle.com/
http://CHEDR.IDBSU.EDU/
http://atlas.nlm.nih.gov:5700/Entrez/version2/medline.html
http://www.dcl.co.il/conf_clust.html
http://www.ccc.uni-erlangen.de/info/OML/about-OML.html
http://btm2xd.mat.uni-bayreuth.de/match/
http://www-kun.sci.kun.nl:80/sigma/
http://www.ucg.ie/chem/chemdept.htm
http://http1.brunel.ac.uk:8080/depts/chem/
http://wavefun.com/
http://www.i2020.net/edusoft/hint.html
http://www.che.chalmers.se/welcome.html
http://www.biochem.mpg.de/
http://derioc1.organik.uni-erlangen.de/ccc-welcome.html
http://scsg9.unige.ch/eng/toc.html
http://rchs1.uni-regensburg.de:80/preprint.html
ahirasim@agr.kyushu-u.ac.jp (Akinori Hirashima)


From kochw@argon.chem.TU-Berlin.DE  Wed May 17 05:08:32 1995
Received: from mailgzrz.TU-Berlin.DE  for kochw@argon.chem.TU-Berlin.DE
	by www.ccl.net (8.6.10/930601.1506) id FAA23295; Wed, 17 May 1995 05:07:09 -0400
Received: from argon.chem.TU-Berlin.DE by mailgzrz.TU-Berlin.DE with SMTP (PP);
          Wed, 17 May 1995 11:06:45 +0200
Received: by argon.chem.TU-Berlin.DE (AIX 3.2/UCB 5.64/4.03) id AA28372;
          Wed, 17 May 1995 11:06:16 +0200
From: kochw@argon.chem.TU-Berlin.DE (Wolfram Koch)
Message-Id: <9505170906.AA28372@argon.chem.TU-Berlin.DE>
Subject: Q-Chem (fwd)
To: chemistry@ccl.net
Date: Wed, 17 May 1995 11:06:15 +0200 (DFT)
X-Mailer: ELM [version 2.4 PL23]
Content-Type: text
Content-Length: 3678


Hi,
since my original question with regard to QCHEM was of interest not
only to me but to other subscribers as well, I append Benny Johnson's
reply (thanks...) to this posting.
 
Wolfram 


Forwarded message:
> From JOHNSONB@B.PSC.EDU Tue May 16 18:46:59 1995
> Date: Tue, 16 May 1995 12:45:06 -0400 (EDT)
> From: JOHNSONB@B.PSC.EDU
> To: kochw@argon.chem.TU-Berlin.DE
> Cc: JOHNSONB@B.PSC.EDU
> Message-Id: <950516124506.20601b84@B.PSC.EDU>
> Subject: Q-Chem
> 
> Dear Prof. Dr. Koch,
> 
> I am sorry not to reply to you sooner -- I have been out of the office.
> 
> >we heard a lot of rumor about the Gaussian off-spin program called
> >QCHEM. Can anyone - prefereably those in charge of QCHEM -
> >provide some information, such as: what is it good for,
> >where is it better than G9x, how much does it cost (very important...),
> >where to get it from, any positive or negative experiences, for which
> >platformns is it available, any GUI available, etc..  
> 
> Here is some information on Q-Chem.  I hope it is helpful in answering 
> your questions.
> 
> Q-Chem was founded in 1993 to build a new quantum chemistry package from
> the ground up for modern computer architectures.  The principals of Q-Chem
> are myself, Peter Gill (Massey University) and Martin Head-Gordon
> (UC Berkeley).  Q-Chem is not connected with Gaussian, Inc. in any way.
> However, the three of us used to collaborate with Gaussian and have implemented
> a number of recent features within the Gaussian program (e.g. DFT, 2-e
> integrals and derivatives, direct SCF and MP2, QCI).
> 
> Q-Chem incorporates many conventional ab initio (HF, MP, CIS, etc.)
> as well as density functional methods. The main strength of Q-Chem over
> currently available programs is that it is designed from the beginning with
> new algorithms for the efficient treatment of very large molecular systems.
> Additionally, the algorithms have been structured to take advantage of
> massively parallel computing platforms from the outset, rather than attempting
> to adapt pre-existing code to parallel architectures.  In these ways Q-Chem
> will significantly expand the range of tractable chemical problems.
> 
> An example of this is Continuous Fast Multipole Method (CFMM), which is a
> technique for evaluating the Coulomb matrix (the rate-limiting step in
> large-scale density functional calculations) in an amount of work which is
> linear in system size, instead of quadratic as required by other programs.
> 
> Q-Chem is under development and is expected to be released publicly in
> early 1996 on a variety of Unix workstations and supercomputers.  Currently
> we run on IBM, SGI, DEC, HP, Cray, Fujitsu and Convex platforms.  Although
> we have not yet fixed a definite price, Q-Chem will be competitive with other
> commercial programs and will carry a substantial academic discount.
> A GUI will definitely be available.  Compatibility with a number of
> established GUIs is planned.
> 
> If you have additional questions about the program or the company, I would be
> happy to answer them.
> 
> Sincerely yours,
> Benny Johnson, Ph.D.
> President
> Q-Chem, Inc.
> 317 Whipple St.
> Pittsburgh, PA  15218
> USA
> 


-- 
_________________________________________________________________________

 Prof. Dr. Wolfram Koch     Institut fuer Organische Chemie, Sekr.C3
                            Technische Universitaet Berlin
                            Strasse des 17.Juni 135, D-10623 Berlin
                            Fon: +49 30 314 27870, Fax: +49 30 314 21102
                            e-mail: kochw@argon.chem.TU-Berlin.DE
_________________________________________________________________________

From oscar@MPA-Garching.MPG.DE  Wed May 17 05:37:17 1995
Received: from ibm-1.MPA-Garching.MPG.DE  for oscar@MPA-Garching.MPG.DE
	by www.ccl.net (8.6.10/930601.1506) id FAA23660; Wed, 17 May 1995 05:31:18 -0400
Received: (oscar@localhost) by ibm-1.MPA-Garching.MPG.DE (8.6.12/8.6) id LAA40680; Wed, 17 May 1995 11:31:17 +0200
Date: Wed, 17 May 1995 11:31:16 +0200 (MDT)
From: "Oscar N. Ventura" <oscar@ibm-1.MPA-Garching.MPG.DE>
To: chemistry@ccl.net
Subject: CCL:is DFT ab initio?
Message-ID: <Pine.A32.3.91.950517104906.25863A-100000@ibm-1.MPA-Garching.MPG.DE>
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII



Dear netters,
 Reading the messages about whether DFT is ab initio or not, I got a 
little bit puzzled. Why is it such a reluctance in admiting DFT as a 
truly separated category of theoretical methods? In my opinion, it is 
clear that semi-empirical and DFT methods share a key characteristic: 
there is no systematic way of improving the results. If for a system you 
got a bad result (be it far from experiment, inconsistent or just crazy) 
using the "best" semi-empirical or DFT methods available, then there is 
no room for systematic improvement. Of course, one can try to 
derive new parametrizations (PM3 vs AM1) or somehow mix calculations and
shake a bit (Becke3LYP vs BLYP), but that is not truly systematic, is it?
 On the other side, DFT and ab initio share the characteristic that they 
are not resorting to experiment to determine the parameters they are 
using (in potentials and in basis sets for instance). In this respect 
they are clearly different from semi-empirical.
 On a second thought, it is also true that semi-empirical and ab initio 
do share some ground in what concerns approximations. What about adding 
-3.07 millihartrees for each bound paired valence electron in Gaussian 1
theory? And is it systematic really the passage from Gaussian 1 to 
Gaussian 2? So then, are Gaussian 1 and Gaussian 2 ab initio theories or 
semi-empirical ones?
 In my opinion, to treat Semi-empirical, Ab initio and DFT methods as 
different approximate models to attempt a solution of the Schroedinger 
equation is the most fair approach. Unless, obviously, that someone may 
think there is more prestige involved in studying DFT if it is catalogued 
as an ab initio theory rather than as a semi-empirical one.
 But surely that is not the case, is it?

	O.
-------------------------------------------------------------------------------
Dr. Oscar N. Ventura                 Tel.     +(5982)941860
MTC-Lab                              Fax      +(5982)941906
Gral.Flores 2124, C. C. 1157         E-mail   oscar@bilbo.edu.uy
Montevideo 11800, URUGUAY            MTC-Lab  http://bilbo.edu.uy/MTC-Lab.html
-------------------------------------------------------------------------------


From aiba@ir.phys.chem.ethz.ch  Wed May 17 06:07:18 1995
Received: from bernina.ethz.ch  for aiba@ir.phys.chem.ethz.ch
	by www.ccl.net (8.6.10/930601.1506) id GAA23978; Wed, 17 May 1995 06:05:34 -0400
Received: from volta (actually volta.ethz.ch) by bernina.ethz.ch 
          with SMTP inbound; Wed, 17 May 1995 12:04:47 +0200
Date: Wed, 17 May 1995 12:04:54 +0200
Message-Id: <95051712045442@ir.phys.chem.ethz.ch>
From: aiba@ir.phys.chem.ethz.ch (Ayaz Bakasov, Phys. Chem., ETH Zurich)
To: chemistry@ccl.net
Subject: CI on top of UHF ???
X-VMS-To: smtp%"chemistry@ccl.net"
X-VMS-Cc: AIBA


Dear Netters,

The question I am posing
is for those who are willing
to get into some theoretical
consideration. However,
in case of a definitive response
a pointer to (possibly) existing
method, or code, or an option in
a code will be very welcome.

I have to calculate expectation values
of an operator which is nonzero if:
1) Neither alpha- nor beta- spin component
   of the wave function is CONSTANT 
  (including zero), i.e. both spin
   components are non-trivial functions
   of coordinates;
2) The alpha- and beta- spin components
   of the wave function are not equal to each
   other (i.e. are different functions
   of coordinates).

Obviously, I am getting non-zero expectation values
for a UHF wave function.

It is highly desirable to have better wave function,
such as CI. However, the CI available, for instance,
from G92/94, is based on the RHF reference determinant.
It means that whatever CI I will produce, this will
be a combination of determinants with zero (or equal) 
alpha or beta spin component for a given spatial
molecular orbital.

If UHF gives already non-zero,
are there CI (or analogous methods)
available which are based on the 
UHF reference determinant ???

Sincerely,
Ayaz Bakasov.



From qsar!qsar.chem.msu.su!baskin@gamma.srcc.msu.su  Wed May 17 07:37:19 1995
Received: from gw.srcc.msu.su  for qsar!qsar.chem.msu.su!baskin@gamma.srcc.msu.su
	by www.ccl.net (8.6.10/930601.1506) id HAA24944; Wed, 17 May 1995 07:27:46 -0400
Received: from srcc.UUCP (uusrcc@localhost) by gw.srcc.msu.su (8.6.12/8.6.12) with UUCP id PAA03909 for CHEMISTRY@ccl.net; Wed, 17 May 1995 15:27:39 +0400
Received: by gamma.srcc.msu.su; Wed, 17 May 1995 15:06:22 +0400
Received: by qsar.chem.msu.su (dMail for DOS v1.23, 15Jun94);
          Wed, 17 May 1995 10:09:01 +0400
To: CHEMISTRY@ccl.net
Message-Id: <AAzBPkl0rN@qsar.chem.msu.su>
Organization: Lab. of Org.Synth., MSU
Date: Wed, 17 May 1995 10:09:01 +0400 (MSD)
From: "Igor Baskin" <baskin@qsar.chem.msu.su>
X-Mailer: dMail [Demos Mail for DOS v1.23]
Subject: Partial derivatives of internal coordinates
Lines: 18


Dear CCLers,

I look for mathematical expressions (or a source code) for
calculating the partial derivatives of internal molecular
coordinates, such as valence and torsion angles, or their
cosines, with respect to Cartesian coordinates of atoms.
Such relations are widely used in MM and MD programs.

Thank you in advance.

--------------------------------------------------------------------
Dr. Igor I. Baskin               !  e-mail: baskin@qsar.chem.msu.su
Institute of Organic Chemistry & !  phone : 7-095-939-3557
Chemistry Department,            !  FAX   : 7-095-939-0290
Moscow State University,         !
Moscow, Russia                   !
--------------------------------------------------------------------



From toukie@zui.unizh.ch  Wed May 17 08:22:21 1995
Received: from rzusuntk.unizh.ch  for toukie@zui.unizh.ch
	by www.ccl.net (8.6.10/930601.1506) id IAA25364; Wed, 17 May 1995 08:21:47 -0400
Received: by rzusuntk.unizh.ch (4.1/SMI-4.1.9)
	id AA14474; Wed, 17 May 95 14:21:37 +0200
X-Nupop-Charset: Swiss
Date: Wed, 17 May 1995 14:21:27 +0100 (MET)
From: "Hr Dr. S. Shapiro" <toukie@zui.unizh.ch>
Sender: toukie@zui.unizh.ch
Reply-To: toukie@zui.unizh.ch
Message-Id: <51687.toukie@zui.unizh.ch>
To: chemistry@ccl.net
Subject: DGEOM_95 ported to DOS/Windows


Dear Colleagues;

     If anyone has successfully ported the programme DGEOM_95 for execution
on a DOS/Windows PC, kindly contact me.  I am interested in possibly using
this programme on a Pentium/90 MHz PC fitted with MS-DOS 6.2/Windows for
Workgroups 3.11, 16 MB RAM, and a 1 GB HD.

     Thanks in advance to all responders.


Sincerely,

(Dr.) S. Shapiro
Inst. f. orale Mikrobiol. u. allg. Immunol.
Zent. f. Zahn-, Mund- und Kieferheilkd. der Univ. ZH
Plattenstr. 11
Postfach
CH-8028 Zuerich 7
Switzerland

Internet: toukie@zui.unizh.ch

From siroiss@CERCA.UMontreal.CA  Wed May 17 09:22:30 1995
Received: from condor.CC.UMontreal.CA  for siroiss@CERCA.UMontreal.CA
	by www.ccl.net (8.6.10/930601.1506) id JAA26274; Wed, 17 May 1995 09:08:52 -0400
From: <siroiss@CERCA.UMontreal.CA>
Received: from balzac.CERCA.UMontreal.CA by condor.CC.UMontreal.CA with SMTP id AA13877
  (5.65c/IDA-1.4.4 for CHEMISTRY@ccl.net); Wed, 17 May 1995 09:08:18 -0400
Received: from pellan.CERCA.UMontreal.CA by balzac.CERCA.UMontreal.CA (950215.SGI.8.6.10/5.17)
	id JAA14363; Wed, 17 May 1995 09:09:14 -0400
Received: by pellan.CERCA.UMontreal.CA (8.6.10/5.17)
	id JAA28035; Wed, 17 May 1995 09:09:13 -0400
Message-Id: <199505171309.JAA28035@pellan.CERCA.UMontreal.CA>
Subject: is DFT ab initio
To: CHEMISTRY@ccl.net
Date: Wed, 17 May 1995 09:09:12 -0400 (EDT)
Cc: siroiss@CERCA.UMontreal.CA (Suzane Sirois)
X-Mailer: ELM [version 2.4 PL23]
Mime-Version: 1.0
Content-Type: text/plain; charset=US-ASCII
Content-Transfer-Encoding: 7bit
Content-Length: 975       


Depuis que tout le monde boit du champagne
on doit se demander si ce que l'on boit est vraiment
du champagne!

Obviously a question like "is DFT ab inito?"
will not be asked by a connaisseur!

Or may be we need to revised the definition
of ab initio and semi-empirical ..., based 
on how the functionals in DFT are parametrized
as well as how the basis set in HF are contracted.

I have also a question:
Is the Kohn-Sham methodology has come to a limit?
because we see more and more that one functional alone
can not treat at the same time with the same degree of 
accuracy both metallic and biological systems


I will be delighted to hear one answer coming from a
gourou who's working on solving directly the DFT
equation and from one who's working with the SCF-KS method

"Hope of a deliverance from the darkness that surrounds us"
                                  Paul McCartney


Suzanne Sirois
Centre de Recherche en Calcul Applique (CERCA)
siroiss@cerca.umontreal.ca

From m10!mjf!frisch@uunet.uu.net  Wed May 17 10:07:21 1995
Received: from relay3.UU.NET  for m10!mjf!frisch@uunet.uu.net
	by www.ccl.net (8.6.10/930601.1506) id JAA27389; Wed, 17 May 1995 09:52:28 -0400
Received: from uucp3.UU.NET by relay3.UU.NET with SMTP 
	id QQyqct13904; Wed, 17 May 1995 09:52:28 -0400
Received: from m10.UUCP by uucp3.UU.NET with UUCP/RMAIL
        ; Wed, 17 May 1995 09:52:27 -0400
Received: from mjf by m10.gaussian.com; Wed, 17 May 1995 09:31:04 -0400
Received: by mjf (AIX 3.2/UCB 5.64/4.03)
          id AA22871; Wed, 17 May 1995 09:34:03 -0400
From: m10!mjf!frisch@uunet.uu.net (Mike Frisch)
Message-Id: <9505171334.AA22871@mjf>
Subject: UHF-CISD
To: chemistry@ccl.net
Date: Wed, 17 May 1995 09:34:03 -0400 (EDT)
X-Mailer: ELM [version 2.4 PL24]
Content-Type: text
Content-Length: 2755      


Ayaz Bakasov, Phys. Chem., ETH Zurich writes:

      I have to calculate expectation values of an operator
      which is nonzero if:

      1) Neither alpha- nor beta- spin component of the wave
         function is CONSTANT (including zero), i.e. both spin
         components are non-trivial functions of coordinates;

      2) The alpha- and beta- spin components of the wave
         function are not equal to each other (i.e. are
         different functions of coordinates).

      It is highly desirable to have better wave function, such
      as CI. However, the CI available, for instance, from
      G92/94, is based on the RHF reference determinant.  It
      means that whatever CI I will produce, this will be a
      combination of determinants with zero (or equal) alpha or
      beta spin component for a given spatial molecular orbital.

      If UHF gives already non-zero, are there CI (or analogous
      methods) available which are based on the UHF reference
      determinant ???

Actually, the open-shell CISD code is Gaussian IS based on a UHF
rather than an RHF reference determinant, and you can get the
appropriate alpha and beta generalized density matrices if you wish to
computer properties.  So, I think this is just what you want.

While we're on the subject, I'd like to clear up a related
misconception which I've seen in the literature.  The UCISD
wavefunction in Gaussian is NOT an exact spin eigenfunction.  It
consists of all determinants produced by replacing one or two
spin-orbitals which are occupied in the reference determinant with
virtuals.  For an open-shell system, this would not lead to a
spin-eigenfunction even if the reference determinant had the same
alpha and beta orbitals, because some determinants which are a double
excitation over spacial orbitals but a triple excitation over
spin-orbitals (because the spins are flipped) are needed to form
proper spin-eigenfunctions.

To show a simpler example with singles vs. doubles, if the reference
determinant is 1a 1b 2a, then the determinant 1a 2a 3b is considered a
single excitation over spin-orbitals but 1a 2b 3a, which should be
mixed with 1a 2a 3b to form a spin-eigenfunction, is a double
excitation of spin-orbitals from the reference.  Of course, both of
these would be included in a CISD wavefunction, but the same issue
occurs with double and triple excitations.

All of these problems are specific to the open-shell case and the
closed-shell CISD wavefunction in Gaussian is a proper
spin-eigenfunction.  Also, note that for most properties of either
closed or open-shell systems, QCISD is considerably more accurate than
CISD with a modest difference in cost and is to be preferred.

Mike Frisch
Lorentzian, Inc.
frisch@lorentzian.com

From J.M.Jansen@farm.RUG.NL  Wed May 17 10:52:21 1995
Received: from hearnvax.nic.surfnet.nl  for J.M.Jansen@farm.RUG.NL
	by www.ccl.net (8.6.10/930601.1506) id KAA28363; Wed, 17 May 1995 10:40:24 -0400
Received: from mailhost.rug.nl by HEARNVAX.nic.SURFnet.nl (PMDF V4.2-12 #3330)
 id <01HQM787VPC0008WTW@HEARNVAX.nic.SURFnet.nl>; Wed,
 17 May 1995 16:37:47 +0200 (MET-DST)
Received: from dep.farm.rug.nl by mailhost.rug.nl with SMTP (PP); Wed,
 17 May 1995 16:37:42 +0200
Received: from novell_farm1.farm.rug.nl by dep.farm.rug.nl (QAA20994); Wed,
 17 May 1995 16:33:32 +0200
Received: from FARM1/MAIL by novell_farm1.farm.rug.nl (Mercury 1.20); 17 May 95
 17:02:31 MET
Received: from MAIL by FARM1 (Mercury 1.20); 17 May 95 17:02:25 MET
Date: Wed, 17 May 1995 17:02:23 +0100 (CET)
From: Hanneke Jansen <J.M.Jansen@farm.RUG.NL>
Subject: Three Dimensions in Drug Design
To: CHEMISTRY@ccl.net
Message-id: <56A3FF00A56@novell_farm1.farm.rug.nl>
Organization: Pharmacy Dept Groningen University
X-Envelope-to: CHEMISTRY@ccl.net
X-Mailer: Pegasus Mail/Windows (v1.22)
Content-transfer-encoding: 7BIT
Priority: normal


THREE DIMENSIONS IN DRUG DESIGN
a minisymposium

University Centre for Pharmacy, Groningen, the Netherlands
June 2nd, 1995

	As soon as people realized that in order for a drug to elicit a 
response this compound has to complement the structure of a 
macromolecular target, attempts have been made to visualize this 
interaction. Nowadays we are well aware of the fact that the 
complementarity has to include all three dimensions in space. Synthetic 
and computational chemistry have evolved to a level at which the third 
dimension can be handled well. Overviews of the capabilities of the 
techniques involved, examples of their application and aspects of new 
methodology will be presented in the symposium "Three Dimensions in 
Drug Design" by the speakers listed below.

Prof. Dr. U. Hacksell: Synthetic Aspects of Medicinal Chemistry
Dr. J.T.F. Keurentjes: Membrane Technology for the Separation of 
Racemic Mixtures.
Prof. Dr. J.P. Tollenaere: The Role of Computational Chemistry in 
Pharmaceutical Research

Coffee-break

Dr. J.P. Snyder: Taxol: A Complicated Molecule Made Simple
Prof. Dr. H.C.J. Ottenheijm: Chirality: Food for Medicinal Chemists

	The last item on the program will present thoughts about various 
aspects of the third dimension and about the question which additional 
dimensions have to be added to really understand the drug-target 
interaction and its effect. All participants are invited to join the discussion 

following a short introduction. The time-frame of the program will probably 
not allow us to conclude this exchange of ideas, but a reception is planned 
after the closing of the symposium during which this discussion can be 
continued.

The symposium will take place at the University of Groningen (the 
Netherlands), location Antonius Deusinglaan 1, ground floor, room BG04. 
The registration desk will be opened, and coffee and sandwiches will be 
available, from 13:30 h. onwards. The symposium will be opened at 14:00 
h. and after the closing at 17:00 h. a reception will be offered to all 
participants. The official language of the symposium will be English. Before 
June 2nd, the symposium secretariat can be reached at Antonius 
Deusinglaan 2, 9713 AW  Groningen, the Netherlands, phone: +31-50-
633296, fax: +31-50-636908, e-mail: sfc@farm.rug.nl; during symposium 
hours the phone-number is +31-50-638000.

Registration for the symposium is free of charge and can be effected by 
sending your name, address and affiliation to the symposium secretariat at 
the above mentioned address.

This symposium has been sponsored by Astra Pharmaceutica B.V., Glaxo 
B.V., the Groningen Centre for Drug Research, the Groningen Utrecht 
Institute for Drug Exploration, the Janssen Research Foundation, Nefarma, 
N.V. Organon, Solvay Duphar B.V. and Unilever.

Organizing committee: Hanneke Jansen, Cor Grol, Willem Jan Drijfhout, 
Janita Zwinderman
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

J.M. Jansen                             e-mail: hanjan@farm.rug.nl
Univ. Centre for Pharmacy               tel: +31-50633305
Dept. Medicinal Chemistry               fax: +31-50636908
A. Deusinglaan 2
NL-9713 AW Groningen
the Netherlands

++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

From acp37@rs1.rrz.Uni-Koeln.DE  Wed May 17 11:22:29 1995
Received: from rs1.rrz.Uni-Koeln.DE  for acp37@rs1.rrz.Uni-Koeln.DE
	by www.ccl.net (8.6.10/930601.1506) id LAA29418; Wed, 17 May 1995 11:17:41 -0400
Received: from axp1.rrz.Uni-Koeln.DE by rs1.rrz.Uni-Koeln.DE with SMTP id AA92484
  (5.67b/IDA-1.5 for <chemistry@ccl.net>); Wed, 17 May 1995 17:17:21 +0200
Received: by axp1.rrz.Uni-Koeln.DE; (5.65/1.1.8.2/23Apr94-0300PM)
	id AA06935; Wed, 17 May 1995 17:17:21 +0200
Date: Wed, 17 May 1995 17:17:21 +0200 (MET DST)
From: Thorsten Koch <acp37@rs1.rrz.Uni-Koeln.DE>
To: CCL <chemistry@ccl.net>
Subject: How to write symmetric z-matrices
Message-Id: <Pine.OSF.3.91.950517171018.6916A-100000@axp1.rrz.Uni-Koeln.DE>
Mime-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII



Dear netters,

does anybody know references about how to write z-matrices which impose 
molecular symmetry and have the correct number of degrees of freedom?

Any hints will be appreciated.

T. Koch



/-----------------------------------------------------------------\
|                        Thorsten Koch                            |
| Institut fuer physikalische Chemie II der Universitaet zu Koeln |
|                    acp37@rrz.uni-koeln.de                       |
|                   Tel. +49 [0]221 470 4816                      |
\-----------------------------------------------------------------/


From thomas_w@btm2x2.mat.uni-bayreuth.de  Wed May 17 13:07:23 1995
Received: from btr0x1.hrz.uni-bayreuth.de  for thomas_w@btm2x2.mat.uni-bayreuth.de
	by www.ccl.net (8.6.10/930601.1506) id MAA02045; Wed, 17 May 1995 12:55:34 -0400
Received: from btm2x2.mat.uni-bayreuth.de by btr0x1.hrz.uni-bayreuth.de (4.1/btr0x1 (UBTGW/btr0x1-2.4.7))
	id AA19184; Wed, 17 May 95 10:24:35 +0200
Received: by btm2x2.mat.uni-bayreuth.de (4.1/SMI-4.1)
	id AA16903; Wed, 17 May 95 10:23:51 +0200
Date: Wed, 17 May 95 10:23:51 +0200
From: thomas_w@btm2x2.mat.uni-bayreuth.de (Thomas Wieland)
Message-Id: <9505170823.AA16903@btm2x2.mat.uni-bayreuth.de>
To: chemistry@ccl.net
Subject: 6th Int Conf Math Chem



Dear Netters,

I will attend the 6th International Conference on Mathematical Chemistry,
10-14 Jul 1995, in Pitlochry, Scotland, U.K., and I am looking for
people who will also go there.

In a poster session on Thursday afternoon, I will hold a computer demonstra-
tion of our program system MOLGEN.
The organizer of the conference wrote me that I should better bring my own
notebook with me since the configuration of the hardware might cause some
difficulties. 

I would now like to get in touch with other people who are also planning
to make a computer demonstration there. Perhaps we can coordinate our
talks in order to avoid everybody carrying one more computer. 
My program can run under MS-Windows 3.1, IBM OS/2 2.1 or 3.0 and
Sun Solaris 2.3 (with Motif 1.2.3 installed).

I'm looking forward to hearing from you.

Best regards,

Thomas Wieland               +---------------+
Dipl. Math.                  |+----    +----+|
Lehrstuhl II f. Mathematik   |\    \   |    ||
Universitaet Bayreuth        | \    \  |    ||
                             |  \    \ |    ||
95440 Bayreuth               |   \    \\    ||
Germany                      |    \    \\   ||
Tel. +49 (921) 553386        |     \     \\ ||
Fax  +49 (921) 553385        |      \-------||
                             +---------------+

From SATYAM@vms.cis.pitt.edu  Wed May 17 14:22:26 1995
Received: from myriad.cis.pitt.edu  for SATYAM@vms.cis.pitt.edu
	by www.ccl.net (8.6.10/930601.1506) id OAA04360; Wed, 17 May 1995 14:18:29 -0400
From: <SATYAM@vms.cis.pitt.edu>
Received: from vms.cis.pitt.edu by vms.cis.pitt.edu (PMDF V4.3-10 #10002)
 id <01HQM279VTTC9N41LO@vms.cis.pitt.edu>; Wed, 17 May 1995 14:18:23 -0400 (EDT)
Date: Wed, 17 May 1995 14:18:23 -0400 (EDT)
Subject: Need Address of Book shops/dealers/ for some classics
To: chemistry@ccl.net
Message-id: <01HQM279WWEA9N41LO@vms.cis.pitt.edu>
X-Envelope-to: chemistry@ccl.net
X-VMS-To: IN%"chemistry@ccl.net"
MIME-version: 1.0
Content-type: TEXT/PLAIN; CHARSET=US-ASCII
Content-transfer-encoding: 7BIT


Dear Netters,
Are there any book shops / second book shops / dealers / persons
who sell some of the classic books on Quantum Chemistry
e.g book by salem , streitwiesser, greenwood, strauss etc.
Thanks for the help
Satyam
[ADVANCED TECHNOLOGY IS THE BUILDING..OLD CLASSICS ARE FOUNDATION ]

From elewars@alchemy.chem.utoronto.ca  Wed May 17 17:22:26 1995
Received: from alchemy.chem.utoronto.ca  for elewars@alchemy.chem.utoronto.ca
	by www.ccl.net (8.6.10/930601.1506) id RAA08219; Wed, 17 May 1995 17:16:35 -0400
Received: (from elewars@localhost) by alchemy.chem.utoronto.ca (8.6.10/8.6.10) id RAA07822 for chemistry@ccl.net; Wed, 17 May 1995 17:16:32 -0400
Date: Wed, 17 May 1995 17:16:32 -0400
From: "E. Lewars" <elewars@alchemy.chem.utoronto.ca>
Message-Id: <199505172116.RAA07822@alchemy.chem.utoronto.ca>
To: chemistry@ccl.net
Subject: COMP CHEM BOOKS


There was a question about (1) How to get out-of-print "classics"  and
(2) the new book on computational chemistry from Oxford University Press.
(1)  Hard-to-find books on science (and anything else) may sometimes
be bought from Dover publishers.  They reprint (all in paperback, I 
think) otherwise out-of-print books.  Their catalog has many books
on mathematics, physics and chemistry.  Ask your library or bookstore
for their address and order the Mathematics and Science Catalog.
(2)  The Oxford U Press book is *Computational Chemistry*, by Guy H.
Grant & W. Graham Richards, cloth $37.50, paper $13.50.  I think it's in
a series of introductory texts.  It was to have appeared in January, but
my copy still hasn't arrived.
=====
Errol Lewars
=====

From !rgab@trpntech.com  Wed May 17 17:37:28 1995
Received: from netcomsv.netcom.com  for !rgab@trpntech.com
	by www.ccl.net (8.6.10/930601.1506) id RAA08222; Wed, 17 May 1995 17:16:41 -0400
Received: from .UUCP by netcomsv.netcom.com with UUCP (8.6.12/SMI-4.1)
	id OAA16053; Wed, 17 May 1995 14:07:37 -0700
Message-Id: <199505172107.OAA16053@netcomsv.netcom.com>
Date: 17 May 1995 13:29:22 -0800
From: "Richard Bone" <rgab@trpntech.com>
Subject: Topological Indices - progr
To: "CCL" <CHEMISTRY@ccl.net>


Subject:      Topological Indices - programs?
Hello, Computational Chemists:

We are looking for programs to calculate molecular "topological indices".  

The larger the number of indices that are handled, the better.

A stand-alone program is most desirable, as is one which reads MDL
mol/RD/SD/-files.

So far, we know of "MOLCONN-X" and Oxford Molecular's "Tsar", though the latter
is not
really "stand-alone".  

As usual, please reply to me and I'll summarise if there is sufficient
interest/response level.

Richard Bone


__________________________________________________________
 
 Richard G. A. Bone, PhD.
 Computational Chemist
 Terrapin Technologies, Inc.      
 750-H Gateway Blvd.
 South San Francisco
 CA 94080-7020
 USA
 
 Tel. +1 (415) 244 9303
 FAX  +1 (415) 244 9388
 E-mail  rgab@trpntech.com

From boyd@chem.iupui.edu  Wed May 17 17:52:26 1995
Received: from indyvax.iupui.edu  for boyd@chem.iupui.edu
	by www.ccl.net (8.6.10/930601.1506) id RAA08651; Wed, 17 May 1995 17:46:38 -0400
Return-receipt-to: Boyd <boyd@chem.iupui.edu>
Received: from macgw.chem.iupui.edu by INDYVAX.IUPUI.EDU (PMDF V4.3-13 #5862)
 id <01HQM7JC1OAO002OKH@INDYVAX.IUPUI.EDU>; Wed, 17 May 1995 16:46:34 -0500
Date: Wed, 17 May 1995 16:44:46 -0500
From: Boyd <boyd@chem.iupui.edu>
Subject: similarity
To: OSC CCL <chemistry@ccl.net>
Message-id: <01HQM7JC2H8I002OKH@INDYVAX.IUPUI.EDU>
Content-transfer-encoding: 7BIT


To the discussion on molecular similarity initiated by Shep Smithline, I would
like add that "Reviews in Computational Chemistry" will have two relevant
chapters:

"Similarity Searching in Databases of Chemical Structures"
	by Geoffrey M. Downs and Peter Willett
"Three-Dimensional Structure Database Searches"
	by Andrew C. Good and Jonathan S. Mason

Volume 7 will be published in August and released at the American Chemical
Society National Meeting in Chicago.

Don
Donald B. Boyd, Ph.D.
Research Professor of Chemistry
Co-editor, REVIEWS IN COMPUTATIONAL CHEMISTRY
Department of Chemistry
Indiana University-Purdue University at Indianapolis
402 North Blackford Street
Indianapolis, Indiana 46202-3274 U.S.A.
Telephone 317-274-6891
Facsimile 317-274-4701
Internet boyd@chem.iupui.edu
World Wide Web URL http://chem.iupui.edu/

From boyd@chem.iupui.edu  Wed May 17 17:55:05 1995
Received: from indyvax.iupui.edu  for boyd@chem.iupui.edu
	by www.ccl.net (8.6.10/930601.1506) id RAA08473; Wed, 17 May 1995 17:32:31 -0400
Return-receipt-to: Boyd <boyd@chem.iupui.edu>
Received: from macgw.chem.iupui.edu by INDYVAX.IUPUI.EDU (PMDF V4.3-13 #5862)
 id <01HQM71USWOG004GLU@INDYVAX.IUPUI.EDU>; Wed, 17 May 1995 16:32:28 -0500
Date: Wed, 17 May 1995 16:31:07 -0500
From: Boyd <boyd@chem.iupui.edu>
Subject: DFT or not to DFT
To: OSC CCL <chemistry@ccl.net>
Message-id: <01HQM71UXZXU004GLU@INDYVAX.IUPUI.EDU>
Content-transfer-encoding: 7BIT


The recent kind remarks by Dr. Gregor Overney (University of New Mexico) about
the "Reviews in Computational Chemistry" books are appreciated.
>   Recently I have received four volumes edited by K.B. Lipkowitz and 
>D.B. Boyd (Reviews in Computational Chemistry, VCH Publishers, Inc.
>New York, 1990-1993). I strongly recommend those books for people
>working in this field and for those who want to get started.
>   However, researchers doing approximations based on DFT will not like
>volume four in which DFT seems not to be taken seriously. I hope this
>deficiency will be eliminated in a later volume.

I would like to assure Dr. Overney and the CCL subscribers that "Reviews in
Computational Chemistry" does indeed want to have thorough coverage.  Volume 7,
which will be released this August at the American Chemical Society National
Meeting in Chicago, will have two pertinent chapters:
"An Introduction to Density Functional Theory"
	by Liberto J. Bartolotti and Ken Flurchick
"Density Functional Methods in Biomolecular Modeling"
	by Alain St-Amant

Don
Donald B. Boyd, Ph.D.
Research Professor of Chemistry
Co-editor, REVIEWS IN COMPUTATIONAL CHEMISTRY
Department of Chemistry
Indiana University-Purdue University at Indianapolis
402 North Blackford Street
Indianapolis, Indiana 46202-3274 U.S.A.
Telephone 317-274-6891
Facsimile 317-274-4701
Internet boyd@chem.iupui.edu
World Wide Web URL http://chem.iupui.edu/

From kmay@trans.net  Wed May 17 20:07:29 1995
Received: from ns.trans.net  for kmay@trans.net
	by www.ccl.net (8.6.10/930601.1506) id TAA10644; Wed, 17 May 1995 19:57:52 -0400
Received: from  by ns.trans.net (4.1/SMI-4.1)
	id AB11864; Thu, 18 May 95 01:58:00 BST
X-Sender: kmay@mailhost
Message-Id: <v01510104abe034c7cd02@[194.59.178.14]>
Mime-Version: 1.0
Content-Type: text/plain; charset="us-ascii"
Date: Thu, 18 May 1995 01:58:21 +0200
To: chemistry@ccl.net
From: kmay@trans.net (Klaus J.W.May)
Subject: LIST: Software over Internet


Hi netters!

I reently asked for websites, where one can download computational chemistry sw.
Akinori Hirashima asked a similar question about chemistry related
websites. He got obviously a whole bunch of replies ( on the second run).
My harvest was much lesser, but i am sure that at many of those websites
one can download sw. Since I got more replies from colleagues who want the
compilation than actually  entries, I put it on the list :

Tadaa, here it is ( pretty poor, isn't it?)  B-)


-----------------------------------------------------------
http://www.intsim.com/~isigen

Program SCULPT from Interactive Simulations. Newest release is on air since
one week. A new paradigm in interacting with biomolecules.A "physical
model" in the computer. Realtime minimization of torsions, vdw and
electrostatics from small organics to largest proteins with ligands, while
applying forces ("pulls") to atoms,residues, whole substructures, or
molecules.

DEMOVERSION FREE
Academic price US$ 600/Year.
Commercial 2.250/year.

Mark Surles, intsim.sales@intsim.com
-----------------------------------------------------------

Hypercube has a web page set up now: http://www.hyper.com .  It has a
variety of things, including access to a working demo version of our
HyperChem software (and slide-show demos of ChemPlus and HyperNMR).
The demos are also available by ftp from ftp.hyper.com, /pub/demo/*
Joel Polowin, Ph.D.   Manager, Scientific Support
Email to: polowin@hyper.com

Hypercube Inc, 419 Phillip St, Waterloo, Ont, Canada N2L 3X2 (519)725-4040
-----------------------------------------------------------

Recently, I announced version 1.0 of my program MolEdit on this forum.
Due to the fact that some people had problems to download the files
from my FTP-server I uploaded them to ftp.ccl.net.
This is also a newer version of MolEdit (1.0.b) that allows to create
HPGL-files of the graphical display, so that the pictures can be used
in other programs.
Additional information is available at the WWW-page:

http://pctc.chemie.uni-erlangen.de/~gedeck/moledit.html

To download the program either access my FTP-server (in Europe) at
pctc.chemie.uni-erlangen.de (131.188.120.2) in directory  /pub/moled
or use the CCL archives:
via anonymous ftp
  www.ccl.net in /pub/chemistry/software/MS-DOS/MolEdit
via gopher
  gopher gopher.ccl.net 73
    software --> MS-DOS --> MolEdit
via WWW:
  http://www.ccl.net/chemistry.html
    C.C.Archive --> Software --> software archives --> MS-DOS --> MolEdit

Peter Gedeck
Inst. f. Physikalische Chemie I
Egerlandstrasse 3
91058 Erlangen
-----------------------------------------------------------

You might want to include the PMD home page in your compilation.
It is an experimental parallel molecular dynamics package that is
freely available for academic purposes. It features the fast multipole
algorithm for the efficient calculation of long range interactions.

URL: "http://tincan.bioc.columbia.edu/pmd/"

Andreas Windemuth
|Columbia University, Department of Biochemistry and Biophysics
|630 West 168th St. BB-221 | tel: (212)-305-6884, fax: 6926, NeXTmail
|New York, NY 10032        | email: windemut@cumbnd.bioc.columbia.edu

-----------------------------------------------------------

LOOK from MAG (molecular Applications Group) has an ftp site
from which you can pick up the latest version and then you unlock
the software for a trial run with a password obtained via email.
Not freely available, but easy enough.  The main problem to me
is that it takes a LONG time to download 18 MB across the Atlantic.

Leif Norskov
Novo Nordisk A/S
Copenhagen
Denmark
lnl@novo.dk

-----------------------------------------------------------

please check

http://www.mdli.com

for the availability of ISIS/Draw.
This is not a demo version: it is the full application and is FREE for
academic and personal home use.

 Osman F. Guner, PhD,  -- Senior Scientist
 MDL Information Systems, Inc.  (510) 895-1313
 Osman@mdli.com
-----------------------------------------------------------

Klaus J.W. May                     e-mail:          kmay@trans.net
May & Partner SciTech Consult      Phone/Fax:       xx49-(89) 333 569
Mandlstr. 15                       Mobile national: 0172-620 38 38
                                     international: xx49-172-620 30 38
D - 80802 Munich
GERMANY



From shepard@dirac.tcg.anl.gov  Wed May 17 20:22:28 1995
Received: from dirac.tcg.anl.gov  for shepard@dirac.tcg.anl.gov
	by www.ccl.net (8.6.10/930601.1506) id UAA10898; Wed, 17 May 1995 20:17:32 -0400
Received: by dirac.tcg.anl.gov (4.1/SMI-4.1)
	id AA08097; Wed, 17 May 95 19:17:30 CDT
Date: Wed, 17 May 95 19:17:30 CDT
From: shepard@dirac.tcg.anl.gov (Ron Shepard)
Message-Id: <9505180017.AA08097@dirac.tcg.anl.gov>
To: CHEMISTRY@ccl.net
Subject:  CCL:UHF-CISD
Cc: shepard@tcg.anl.gov


In a previous posting, Mike Frisch wrote:

>While we're on the subject, I'd like to clear up a related
>misconception which I've seen in the literature.  The UCISD
>wavefunction in Gaussian is NOT an exact spin eigenfunction.  It
>consists of all determinants produced by replacing one or two
>spin-orbitals which are occupied in the reference determinant with
>virtuals.  For an open-shell system, this would not lead to a
>spin-eigenfunction even if the reference determinant had the same
>alpha and beta orbitals, because some determinants which are a double
>excitation over spacial orbitals but a triple excitation over
>spin-orbitals (because the spins are flipped) are needed to form
>proper spin-eigenfunctions.
>
>To show a simpler example with singles vs. doubles, if the reference
>determinant is 1a 1b 2a, then the determinant 1a 2a 3b is considered a
>single excitation over spin-orbitals but 1a 2b 3a, which should be
>mixed with 1a 2a 3b to form a spin-eigenfunction, is a double
>excitation of spin-orbitals from the reference.  Of course, both of
>these would be included in a CISD wavefunction, but the same issue
>occurs with double and triple excitations.

Whether a CI wave function ends up being a spin eigenfunction depends on
the hamiltonian operator (or approximations thereof), the expansion
space, and possibly the iterative procedure used to converge the
eigenvalue equation.  Mike Frisch was discussing the expansion space
above, but perhaps was not clear on a couple of points.

First, if a reference determinant is |1a1b2a> with the same spatial
orbitals used for different spins (i.e. not UHF), then this reference
determinant is a pure doublet (it is a spin eigenfunction of both Sz and
S^2 operators).  The usual hamiltonian operator (nonrelativistic, no
spin-orbit, etc.)  commutes with both Sz and S^2, so H|ref> will be also
a pure doublet, H^2|ref> will be a pure doublet, and so on for the entire
krylov sequence H^n|ref>.  This applies also if the vectors are truncated
to within some given expansion space.  So if the converged CI wave
function is computed as a linear combination of such krylov vectors, each
of which is a pure doublet, then the final result will also be a pure
doublet.  This argument holds for any sequence of expansion vectors,
truncated or not, provided the operators (and/or methods) used to
generate them commute with Sz and S^2.  And of course this holds also for
any |ref> that is a spin eigenfunction, not just doublets.

In the above example, the spin-adapted excitation operator E(3,1) acting
on |1a1b2a> will give the combination

        |1b2a3a>-|1a2a3b>.  

The other determinant with the same spatial orbital occupations,
|1a2b3a>, is a double spinorbital excitation, as noted above.  It is not,
by itself a pure doublet, but must be combined with the (+) combination
of the other two determinants above to become one.  The correct
combination is

        2*|1a2b3a> - |1b2a3a> - |1a2a3b> 

Some experimentation will show that this spin function cannot be
generated from the reference function |1a1b2a> with any kind of
spin-adapted SINGLE excitation, but it can be generated with a
spin-adapted DOUBLE excitation operator (e.g. the product E(3,2)E(2,1)
results in a linear combination of the above two spin functions).  As
Mike said in his comment, the same thing happens for certain double
spatial orbital excitations that end up being triple spin-orbital
excitations; these do not interact through the hamiltonian with the
original reference function since the hamiltonian is only a spin-adapted
double-excitation operator.

It is possible to compute CI wave functions that consist only of
interacting expansion terms.  It does not matter if these wave functions
are computed in terms of spin-adapted CSFs, or directly in terms of the
determinants.  There are, of course, both advantages and disadvantages to
this approach in practice.  For example, in the COLUMBUS MR-CI code, we
use spin-adapted expansion terms (CSFs), but we can easily discard from
the expansion space only those noninteracting CSFs that involve
excitations from orbitals that are doubly occupied in all reference CSFs.
The other possible non-interacting determinants involving partially
occupied active orbitals are mixed together with the interacting ones.

By the way, the thought might have occurred to someone that there are
only two independent linear combinations of the three determinants
discussed above.  What happened to the other linearly independent
combination, namely |1a2b3a> + |1b2a3a> + |1a2a3b>?  The answer is that
this is also a spin eigenfunction, but it is not a doublet.  It is the
Ms=1/2 component of the 3-electron quartet state, the high-spin component
of which looks like |1a2a3a>.

This finally brings up the question of whether you want a wave function
that is formed only from the interacting space, or if you want all
possible spatial-orbital excitations of a given excitation level included
in the expansion space.  The answer depends on what you want to do with
the wave function.  If you want to compare results of various spatial and
spin symmetries in the most unbiased way possible, or to compute
transition properties between such states, then it is often the case that
the best way to achieve this is to ignore the interacting space
simplifications.

And I won't even try to discuss whether this is ab initio or
semiempirical. ;-)

-Ron Shepard

