From cmartin@rainbow.uchicago.edu  Fri Sep 30 00:11:14 1994
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From: cmartin@rainbow.uchicago.edu (Charles Martin)
Message-Id: <9409300404.AA26345@rainbow.uchicago.edu>
Subject: charges and pertrurbation theories
To: chemistry@ccl.net
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Netters:

	I agree with Wendy.  I would like to hear more about these
perturbation theory methods.  Additionally, I would like to hear 
what some people think about the limitations of the current models
for electrostatics in general. 

Chuck Martin
The University of Chicago


From qftramos@usc.es  Fri Sep 30 06:11:20 1994
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From: qftramos@usc.es (Antonio Fernandez Ramos)
Message-Id: <9409301003.AA17212@uscmail.usc.es>
To: chemistry@ccl.net
Subject: semiclassical tunneling


Dear netters:

	I'm interested in the semiclassical tunneling models.
Particularly, the models developed by N. Makri and W. H. Miller are
a powerful tool to calculate the splitting in symmetric
systems where there are protonic transference. 

Do programs exist to make these calculations (using basis set
methods, TDSCF or/and classical trajectory simulations), if I have 
output data of ab-initio calculations (minima, TS, frequencies,
IRC, LRP, etc ..)?

Thanks

A. F. Ramos

E-mail: qftramos@usc.es






From frits@rulglj.LeidenUniv.nl  Fri Sep 30 06:28:34 1994
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Date: Fri, 30 Sep 94 10:19:27 GMT
From: frits@rulglj.LeidenUniv.nl (Frits Daalmans)
Message-Id: <9409301019.AA17736@rulglj.LeidenUniv.nl>
To: chemistry@ccl.net
Subject: large 2-electron files on IBM RS6000; small suggestion


(mail to criscuol@gensia.edu bounced, so I send this to the list)

To: criscuol@gensia.edu
Subject: Re:  CCL:Gaussian92 run time problem under AIX 3.2.5

Well..
I know of a "dirty trick" that I used on a NAS9000 mainframe running under CMS:
the integral file in the version of GAMESS I used then was called mt2 instead
of ed2, which already suggests what kind of file it was:
I think (but I could be wrong) that integral files are sequentially written
and read, so you could possibly use a tapestreamer instead of a disk to
write the integrals to. This assumes that you have unlimited CPU time, of
course, since reading/writing from tape is MUCH slower than disk access.
But the integrals should only be needed in constructing the Fock matrix
so, depending on your calculation, they are only made a couple of times.
You could give it a try to do a
setenv ed2 /dev/rmt1.0
(assumed /dev/rmt1.0 is the device name of a self-rewinding tape drive,
and assumed the integrals are read one-by-one sequentially)

Please mail me if this works, or why it cannot work :-)
Greetings,
Frits

Frits Daalmans
OIO Conformational Analysis
Gorlaeus Laboratoria
Leiden, The Netherlands
E-mail: frits@rulglj.leidenuniv.nl
Tel: [+31] (0)71-274505


Frits Daalmans
OIO Conformational Analysis
Gorlaeus Laboratoria
Leiden, The Netherlands
E-mail: frits@rulglj.leidenuniv.nl
Tel: [+31] (0)71-274505


From m10!frisch@uunet.uu.net  Fri Sep 30 10:11:22 1994
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From: m10!frisch@uunet.uu.net (Michael Frisch)
Subject: Re: CCL:large 2-electron files on IBM RS6000; small suggestion
To: uunet!ccl.net!chemistry@uunet.uu.net
In-Reply-To: uunet!rulglj.LeidenUniv.nl!frits (Frits Daalmans), Fri, 30 Sep 94 10:19:27 GMT


    (mail to criscuol@gensia.edu bounced, so I send this to the list)
    
    To: criscuol@gensia.edu
    Subject: Re:  CCL:Gaussian92 run time problem under AIX 3.2.5
    
My email directly to criscuo also bounced.  The main point in reply to this
problem is that Gaussian 92 with SCF=Direct should use NO disk space at all
for the integral file and should be compute bound.  The problems described
are only posible if the user is not in fact doing direct SCF and will go
away once this is used.  Worrying about how to store big integral files is
beside the point; even jobs which produce less than 2 GBytes of integrals
will use less CPU as well as less elapsed time with SCF=Direct.  In fact,
since direct SCF is automatically converted to in-core if the integrals fit,
there really isn't any size of calculation with should be run with
conventional SCF on an RS/6000.

Mike Frisch

-------

From smb@smb.chem.niu.edu  Fri Sep 30 11:11:24 1994
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Date: Fri, 30 Sep 94 09:21:16 -0500
From: smb@smb.chem.niu.edu (Steven Bachrach)
Message-Id: <9409301421.AA14924@smb.chem.niu.edu>
To: CHEMISTRY@ccl.net
Subject: Re: large 2-electron files 



Mike Frisch recently commented:

>In fact,
>there really isn't any size of calculation with should be run with
>conventional SCF on an RS/6000.

Is this really true? If one has a small basis set, say less than 100 functions
is the cost of re-evaluating integrals still less than I/O time?

Is the same thing true for other platforms (in particular SGI)?

Thanks,
Steve

Steven Bachrach				
Department of Chemistry
Northern Illinois University
DeKalb, Il 60115			Phone: (815)753-6863
smb@smb.chem.niu.edu			Fax:   (815)753-4802



From fh@qc.ag-berlin.mpg.de  Fri Sep 30 11:13:21 1994
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From: fh@qc.ag-berlin.mpg.de (Frank Haase)
Message-Id: <9409301508.AA21537@oberon.qc.ag-berlin.mpg.de>
Subject: large 2-electron files
To: chemistry@ccl.net (ccl)
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Of course, doing conventional SCF is meaningless on fast workstations.
But I do not think that the user had his 2GB file problem with an SCF
calculation rather with a correlated calculation. For correlated calculations 
G92 has a serious disadvantage, in my opinion. ALL integral types and perhaps 
other data will be written into ONE file ( a DA file I guess ). So one hits 
very fast the 2GB limit (which falls finally in AIX 4.2) and has no chance to 
manage the job. In TURBOMOLE, for each integral type one file can be specified, 
and moreover for the largest files like the halftransformed ints a multiple 
file specification is possible. This allows a more flexible file management and 
of course the use of several GB. The additional bookholding for this file 
splitting is very easy to implement. So I do not know the reason for doing all 
I/O to a single rwf-file in correlated runs in G92.

frank haase 
fh@oberon.qc.ag-berlin.mpg.de

From ryszard@msi.com  Fri Sep 30 13:16:05 1994
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Date: Fri, 30 Sep 1994 12:10:58 -0400
From: Ryszard Czerminski X 217 <ryszard@msi.com>
Message-Id: <9409301610.AA07545@aga>
To: chemistry@ccl.net, cornell@cgl.ucsf.edu
Subject: Re:  CCL:charges


First many thanks to Wendy D. Cornell for an excelent summary.

The treatment of INTERmolecular interactions by perturbation theory
has quite a long history (a lot of reference articles and books).
I do not have references at hand but just to give
you few names to look for (in no particular order):
W. Kolos, B. Jeziorski, L. Piela, P. Claverie, A.D. Buckingham,
A. Stone, P. Hobza, M.M. Szczesniak ...

Molecular multipole expansion (as opposed to multicenter multipole
expansion - atom centered charges are the simplest model of this kind)
works properly only in cases when interacting molecules
are smaller (and preferably much smaller) then distance between them.
For two interacting nucleic acid bases it is a disaster.

For calculating electrostatic interactions I have personally used 
approach developed by Claverie and co-workers

-> J. Langlet, P. Claverie et al. Int. J. Quantum Chem., 19 (1981) 299

as well as by Sokalski

-> W.A.Sokalski et al. J. Phys. Chem., 87 (1983) 2803

The main idea of this approach (as it was already mentioned earlier) is
to go beyond charges (and atoms in Claverie's case) in Mulliken scheme. 

This is definitely better description of electrostatics then any atom
based point charges could provide.

The main problem with applying it to large molecular systems

(definition of what is large depends which generation of computers
are we using and/or how many digits of accuracy are we hoping to achieve)

is greater computational complexity (if we include dipoles,
quadrupoles etc...) and/or larger number of point charges not longer
centered on atoms - which results in much higher CPU costs.

Conformational dependence problems would be probably similar as with
point charges derived e.g. from electrostatic potential fitting -
although I am not aware of any detail study on this subject.

From bio- simulations point of view (~ tousands of atoms)
we are stack with atomic charges models for a while - probably.

One interesting avenue could be to see if there is a way of deriving
point charges equivalent to ESP/RESP fitted charges directly from wave
function i.e. basically generalizing Thole & van Duijnen approach
to higher moments
(- Thole & van Duijnen, "A general population analysis preserving
   the dipole moment", Theor. Chim. Acta 63, 209 (1983).)

This is probably not possible exactly but maybe some further
progress is possible in this direction.

Sincerely,

Ryszard Czerminski
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| 16 New England Executive Park,     | fax   : (617)229-9899       |
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From 21NBCJ@NPD.UFPE.BR  Fri Sep 30 14:16:05 1994
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 <01HHQ6ZOXODC8WX7CT@NPD.UFPE.BR>; Fri, 30 Sep 1994 15:01:43 -0300
Date: Fri, 30 Sep 1994 15:01:43 -0300
From: Nivan Bezerra <21NBCJ@NPD.UFPE.BR>
Subject: CI code for atoms using STOs wanted
To: chemistry@ccl.net
Message-id: <01HHQ6ZOY7O28WX7CT@NPD.UFPE.BR>
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Dear Netters,

	I would greatly appreciate receiving information of an
availbale CI code for atoms using STOs.
	Thank you very much,

	Nivan
 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
  Nivan Bezerra da Costa Junior                Fone:  (081) 271-8440
  Universidade Federal de Pernambuco           Fax:   (081) 271-8442
  Centro de Ciencias Exatas e da natureza          
  Departamento de Quimica Fundamental          E-mail:
  Cidade Universitaria                        
  50739 - Recife - PE                          INTERNET: nivan@vaxdqf.ufpe.br
                                                         21nbcj@npd.ufpe.br
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From hinsenk@ERE.UMontreal.CA  Fri Sep 30 14:17:31 1994
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From: hinsenk@ERE.UMontreal.CA (Hinsen Konrad)
Message-Id: <9409301727.AA06533@cyclone.ERE.UMontreal.CA>
To: cornell@cgl.ucsf.edu
Cc: chemistry@ccl.net
In-Reply-To: <199409292323.QAA04058@socrates.ucsf.EDU> (cornell@cgl.ucsf.edu)
Subject: Re: CCL:charges



Wendy Cornell writes:

   I would be very interested to see a summary of this approach
   posted here.  It sounds like this is a molecule-based rather
   than an atom-based description.  How many parameters ("true
   unimolecular properties such as multipoles and polarizabilties")
   would describe a molecule such as alanine?  Can you even treat a 
   molecule that is that big?  Isn't this description also subject 
   to conformational dependence?  Has this model been tested for
   its ability to reproduce properties other than gas phase
   interaction energies, such as conformational energies or
   condensed phase properties?


Although I am rather new to the field of simulating big molecules,
I do have a lot of experience with multipole expansions, and
I would like to warn about a problem to watch out for:

A multipole expansion is an expansion of the potential generated
by a spatially localized charge distribution for long distances.
Its convergence is guaranteed only outside a sphere containing
all the charges. To see if you can use multipole expansions
for molecular systems, draw a sphere around every molecule.
If any two spheres overlap, you are in trouble. In practice
this means that multipole expansions are useful only for
approximately spherical molecules, or for molecules in a
gas phase.

Even if you don't care about the convergence of the whole
series ("A dipole is good enough for me."), you can still
get some problems. For example, if you have a system of
induced dipoles (i.e. molecules with a dipole polarizability)
and place them too close to each other in some external field,
then the strength of the induced dipoles will diverge. The
reason is that such a system is unphysical: you can't have
arbitrarily polarizable materials, so to increase the
polarizability of a real object, you have to increase
its size. But that puts a lower limit on the distance
between two such objects. You can actually calculate the limit
in this way: take a sphere of radius r made out of the most
polarizable material (a perfect conductor) and calculate
its dipole polarizability (which is r^3 if I remember correctly).
That's the highest polarizability allowed for a distance
of 2r.

Finally, if you find that you can work with a multipole expansion,
don't assume that a dipole is sufficient. It might be, but
there is no way to know without trying with higher multipole
orders. So make sure your code can handle them. And take care
to pick a suitable representation. Most people use multipole
moments defined in terms of spherical harmonics, because that's
what you find in textbooks on electromagnetic theory. There
are however good reasons to choose other representations
for numerical work. If you can live with redundant elements,
the Cartesian multipole expansion (essentially a Taylor
series) is very simple to use. If you can't, have a look at
irreducible Cartesian tensors, which are equivalent to
spherical harmonics, but can be calculated without having
to deal with complex numbers and sines and cosines.

-------------------------------------------------------------------------------
Konrad Hinsen                     | E-Mail: hinsenk@ere.umontreal.ca
Departement de Chimie             | Tel.: +1-514-343-6111 ext. 3953
Universite de Montreal            | Fax:  +1-514-343-7586
C.P. 6128, succ. A                | Deutsch/Esperanto/English/Nederlands/
Montreal (QC) H3C 3J7             | Francais (phase experimentale)
-------------------------------------------------------------------------------



From becky@msi.com  Fri Sep 30 15:16:08 1994
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From: becky@msi.com (Becky Rone X 276)
Message-Id: <9409301838.AA21582@franz.MSI.COM>
To: chemistry@ccl.net
Subject: CCL:charges



I would like to respond to this question:

> Is there any reference on charge assignment method for CHARMM,
> and/or CHARMm?

> Xinjun J. Hou                                      hou@agouron.com

The CHARMm references are:

F.A. Momany, R. Rone, and L. Schafer, "Geometry Optimization, Energetics, and Solvation 
Studies on Six-membered Cyclic Peptides, using QUANTA3.3/CHARMm22", Peptides, 
Proceedings of the Thirteenth American Peptide Symposium,  (1993).

F.A. Momany, R. Rone, H. Kunz, R. F. Frey, S. Q. Newton, and L. Schafer, "Geometry 
Optimization, Energetics, and Solvation Studies on Four and Five Membered Cyclic and 
Disulfide Bridged Peptides, using the Programs QUANTA3.3/CHARMm22", J. Mol. Struct. 
(Theochem), 286, 1-18 (1993).

F.A. Momany and R. Rone, "Validation of the General Purpose QUANTA 3.2/CHARMm Force 
Field," J. Comp. Chem. 13 (7), 888-900 (1992).

F.A. Momany, R. Rone, R.F. Frey, and L. Schafer, "On the Use of Correlation Ab Initio 
Studies in the Development of the CHARMm Empirical Molecular Force Field," Chemical Design 
Automation News (7), 1, 38-41(July, 1992).

To those of you who have QUANTA please note that the last reference is reprinted as
the QUANTA Parameter Handbook which is shipped out with your tapes. Reprints for these
papers are available from the support hotline at MSI (617) 229-9800 for all MSI
customers. For other scientists, if you need reprints contact my secretary 
Susan Rostoff at the same number. Cheers,

Rebecca Rone
Senior Scientist
Molecular Simulations, Inc.


From sling@euclid.chem.washington.edu  Fri Sep 30 16:16:07 1994
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From: sling@euclid.chem.washington.edu (Song Ling)
Message-Id: <9409301916.AA17577@euclid.chem.washington.edu>
To: CHEMISTRY@ccl.net
Subject: semiclassical tunneling


Sorry but I lost the address on the subject, a more recent paper
along the lines of Miller, Makri, and so on is as follows:
QIN Y; THOMPSON DL.
     SEMICLASSICAL TREATMENT OF TUNNELING EFFECTS IN HONO CIS-TRANS
   ISOMERIZATION.
     JOURNAL OF CHEMICAL PHYSICS, 1994 MAY 1, V100 N9:6445-6457.
Miller's address: miller@neon.cchem.berkeley.edu

From ross@cgl.ucsf.EDU  Fri Sep 30 16:20:20 1994
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Date: Fri, 30 Sep 1994 12:53:06 -0700
Message-Id: <199409301953.MAA04450@socrates.ucsf.EDU>
From: ross@cgl.ucsf.edu (Bill Ross )
To: chemistry@ccl.net
Subject: multipole expansion


	From: hinsenk@ERE.UMontreal.CA (Hinsen Konrad)

	...
	A multipole expansion is an expansion of the potential generated
	by a spatially localized charge distribution for long distances.
	Its convergence is guaranteed only outside a sphere containing
	all the charges. To see if you can use multipole expansions
	for molecular systems, draw a sphere around every molecule.
	If any two spheres overlap, you are in trouble. In practice
	this means that multipole expansions are useful only for
	approximately spherical molecules, or for molecules in a
	gas phase.
	...

Another use of multipole expansions is for long-range forces 
exerted by collections of point charges (typically in a subcube
of the simulated volume) as a means to faster calculations in 
vacuum or solvated systems. There is an excellent brief summary 
of these methods by Leslie Greengard in a recent _Science_ issue 
featuring computers in science.

Bill Ross

From hinsenk@ERE.UMontreal.CA  Fri Sep 30 18:16:08 1994
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From: hinsenk@ERE.UMontreal.CA (Hinsen Konrad)
Message-Id: <9409302109.AA10449@cyclone.ERE.UMontreal.CA>
To: ryszard@msi.com
Cc: chemistry@ccl.net
In-Reply-To: <9409301610.AA07545@aga> (message from Ryszard Czerminski X 217 on Fri, 30 Sep 1994 12:10:58 -0400)
Subject: Re: CCL:charges



   The treatment of INTERmolecular interactions by perturbation theory

Actually I wouldn't call multipole expansions perturbation theory.
There is nowhere any assumption about some parameter being small.
It is simply an expansion in terms of the relation between
the radius of the charged system and the distance to the point
where the potential is to be calculated.

   Molecular multipole expansion (as opposed to multicenter multipole
   expansion - atom centered charges are the simplest model of this kind)
   works properly only in cases when interacting molecules
   are smaller (and preferably much smaller) then distance between them.

This is not exactly true - what you have mentioned is the
condition for fast convergence. You can even treat two
touching spheres with a multipole expansion, but you might
need fifty terms for that. Whether or not that is feasible
depends on the application.

-------------------------------------------------------------------------------
Konrad Hinsen                     | E-Mail: hinsenk@ere.umontreal.ca
Departement de Chimie             | Tel.: +1-514-343-6111 ext. 3953
Universite de Montreal            | Fax:  +1-514-343-7586
C.P. 6128, succ. A                | Deutsch/Esperanto/English/Nederlands/
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From leboeuf@CHIMCN.UMontreal.CA  Fri Sep 30 19:16:10 1994
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From: leboeuf@CHIMCN.UMontreal.CA (Leboeuf Martin)
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Subject: Re: multipole expansion
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>       From: hinsenk@ERE.UMontreal.CA (Hinsen Konrad)
> 
>       ...
>       A multipole expansion is an expansion of the potential generated
>       by a spatially localized charge distribution for long distances.
>       Its convergence is guaranteed only outside a sphere containing
>       all the charges. To see if you can use multipole expansions
>       for molecular systems, draw a sphere around every molecule.
>       If any two spheres overlap, you are in trouble. In practice
>       this means that multipole expansions are useful only for
>       approximately spherical molecules, or for molecules in a
>       gas phase.
>       ...

In other words, the multipole expansion (ME) is the solution of Laplace
equation, which is why you have to be outside of the sphere containing
the charge distribution. But recently, Koester et al. (JCP, 99 p1224 (1993))
developped a model for the solution of the Poisson equation. Since you
are now solving Poisson's equation, there is no longer the restriction
of being outside of your charge distribution. And in fact, we have implemented
this scheme in our DFT code (deMon) and the molecular electrostatic
potential calculated with this model has the right behavior both at
long AND short distances from the molecules. And the computational
effort is very similar to a ME calculation.

Martin Leboeuf
Departement de Chimie
Universite de Montreal
Montreal, Canada
email: leboeuf@cerca.umontreal.ca



From mf12101@sc.msc.edu  Fri Sep 30 21:16:11 1994
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Subject: partial charges
To: chemistry@ccl.net (Comp. Chem. list)
Date: Fri, 30 Sep 94 19:24:54 CDT
Cc: cramer@chemsun.chem.umn.edu (Christopher J. Cramer),
        giesen@chemsun.chem.umn.edu (Dave Giesen),
        mf12141@sc.msc.edu (Greg Hawkins),
        eeaston@prometheus.chem.umn.edu (Evan Easton),
        chambers@t1.chem.umn.edu (Candee C. Chambers),
        guxx0004@gold.tc.umn.edu (Michael Gu)
X-Mailer: ELM [version 2.3 PL11]


	I would like to contribute some thoughts on the subject of partial 
charges of atoms in molecules, which has received some attention on the 
CCL this week.  In particular I note that Ryszard Czerminski wrote:
	"One interesting avenue could be to see if there is a way of deriving
point charges equivalent to ESP/RESP fitted charges directly from a wave
function....  This is probably not possible exactly but maybe some further
progress is possible in this direction."
In the following I will comment directly on recent progress in this area.
	Partial charges are an important theoretical subject because they are
so useful in molecular modeling, and they are a fascinating subject because,
since they are not physical observables, their definition is--to some extent--
at our disposal.  In recent work [J. W. Storer, D. J. Giesen, C. J. Cramer, 
and D.  G. Truhlar, "Class IV Charge Models: A New Semiempirical Approach in
Quantum Chemistry," Journal of Computer-Aided Molecular Design, in 
press], we have distinguished four classes of models of partial charges.
	Class I charges are defined by simple models that make no reference
to the quantum mechanical character of electronic structure.  An example
would be obtaining the partial charges of a heteronuclear diatomic
molecule by dividing the dipole moment by the bond length.
	Class II charges are obtained by some prescription for partitioning
the density distribution corresponding to some approximate electronic 
wave function (or the exact wave function if we had it) of a molecule into 
components associated with individual atoms.  Examples include Mulliken 
or Lowdin population analysis or Richard Bader's method of partitioning 
the charge distribution.
	Class III partial charges are based on a more utilitarian approach.  As 
stated above, partial charges of atoms in molecules are interesting first of 
all because they are useful for molecular modeling.  Now there are several 
approaches to modeling the electrostatic properties of molecules based on 
placing a set of point multipoles at each of several sites in a molecule.  One 
example encountered in practice is to place partial charges both at the 
nuclei and in the lone pair regions; this approach is often used for water.  
Another example is placing a partial charge and a point dipole at each 
nuclear center.  The latter is an example of a distributed multipole 
representation.  By far the most common example of this approach is the 
nuclear-centered distributed-monopole representation in which we ignore 
the higher multipoles (dipole, quadrupole, octupole, hexadecapole, ...) and 
simply place a partial charge at each nuclear center.  The simplicity of this 
approach makes it useful for inclusion in force fields designed for 
conformational analysis, interaction potentials, solvation modeling, and 
molecular dynamics.  Class III partial charges are an attempt to find the best 
set of nuclear-centered partial charges for such modeling efforts.  Thus class 
III charges are defined such that physical observables calculated from such 
partial charges agree as well as possible (a subjective elements creeps in 
here) with the same physical observable calculated using the continuous 
psi squared charge density of an electronic wave function.  The most 
frequently used physical observable is the electrostatic potential (ESP) at 
selected points around a molecule; a special case of this would be fitting 
the dipole moment, which is equivalent to fitting the electrostatic 
potential of a polar molecule on a hypersphere of very large radius.  
Examples of partial charge methods based on ESP-fitting are the ChelpG 
method of Michelle Francl, Ken Wiberg, and coworkers and the similar 
fitting procedure of Kenny Merz and Peter Kollman.
	Class III partial charges, like any other modeling tool, have some 
deficiencies.  The first type of deficiency is numerical.  Francl herself has 
pointed out that the equations one obtains in ESP fitting are often ill-
conditioned.  In a similar vein, Bill Jorgensen has pointed out that the 
charges on buried atoms may be especially poorly determined by ESP 
fitting.  
	A second problem with class III charges is that, while they make up 
(as well as possible) for deficiencies in the replacement of a continuous 
electron density function (corresponding to some electronic structure level 
X and basis Y) by a set of nuclear-centered partial charges, they do not make 
up for the deviation of psi squared at level X/Y from the exact psi squared.  
Such deficiencies can in fact be quite serious even for popular levels X/Y 
that are considered to be high levels.  [For example, for MeSO_3H, the 
HF/6-31G* dipole moment is 3.24 D, whereas the more accurate 
MP2/cc-pVDZ dipole moment is 2.33 D.]
	Despite these deficiencies, ESP fitting is a powerful technique, and it 
is often very useful, but Class IV charges represent an attempt to make up 
for both sets of deficiencies.  Class IV charges are obtained by starting with 
class II charges and mapping them to a new set of charges (the class IV 
charges) with mapping parameters determined semiempirically such that 
the new charges reproduce experimental observables as well as possible.  
Although ESPs are in principle observable, dipole moments are more 
widely available and have been used for developing class IV charge models 
so far.
	We have so far (in the preprint mentioned above) parameterized two 
class IV charge models, which we call CM1A and CM1P.  The former begins 
the map with AM1 Mulliken charges, and the latter begins with PM3 
Mulliken charges.  The parameters in our mappings were based on 204 
neutral compounds containing a wide variety of functional groups.  
Mapping parameters are available for the following atom types: H, C, N, O. 
F, Si, S, Cl, Br, and I.  (Note the conspicuous absence of P.  We believe that
a good map for P should start with an ab initio wave function, or at least with 
something better than AM1 or PM3.  Work is "in progress" on this.)  For 23 
compounds we tested the partial charges against those obtained by ChelpG 
analysis of MP2/6-3/G* wave functions.  This chart gives the RMS errors in 
various calculated dipole moments for these 23 compounds.  The first row
is based on a continuous charge distribution; the others are based on 
partial charges:

	dipole calculated from	      RMS error (D)
	________________________      ____________
	MP2/6-31G*, psi squared		0.21
	HF/6-31G* ChelpG charges	0.33
	HF/6-31G* Mulliken charges	0.93
	AM1 Mulliken charges		0.89
	PM3 Mulliken charges		1.00
	AM1-CM1A class IV charges	0.27
	PM3-CM1P class IV charges	0.20
 
The cost of the mapping is totally negligible; thus with PM3-CM1P class IV 
charges one obtains MP2/6.31G* accuracy with NDDO cost.
	If you would like a preprint of our paper, send e-mail to
		truhlar@t1.chem.umn.edu
with your full mailing address and request UMSI Research Report 94/144 by 
Storer et al.
	CM1A and CM1P partial charges may be calculated for gas-phase 
molecules using AMSOL-version 4.5 [Reference: C. J. Cramer, G. D. Hawkins, 
G. C. Lynch, D. J. Giesen, D. G. Truhlar, and D. A. Liotard, QCPE Bull. 14, 55-
57 (1994)].  This program is available from QCPE at Indiana University--it is 
program 606 in their catalog.

   Don Truhlar
   Dept. of Chemistry
   University of Minnesota

