From noertema@theochem.tu-muenchen.de  Sat Jul 18 09:06:07 1998
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From: noertema@theochem.tu-muenchen.de (Folke Noertemann)
Message-Id: <199807181306.PAA02479@theo3.theochem.tu-muenchen.de>
To: chemistry@www.ccl.net
Subject: x,y,z vs. internal coordinates
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Cartesian  <-> internal coordinates:
This question has to be answered with is clear
"It depends".

Usually cartesian coordinates introduces a great
deal of undesired couplings. One may get rid of them
by choosing the right internal coordinates.
My experience is that nothing can beat a well-chosen
Z-matrix. Other internal coordinate systems, e.g.
Pulays natural internal coordinates compare also very
well in the literature.
However, the choice of the coordinate system depends
-at least in my view- entirely on two things:

1. The nature of the molecule one wishes to optimize.
   Establishing a Z-matrix for polycyclic systems is a
   nightmare that nobody really wants to go through.
   Some people claim that it is impossible to compose 
   a good Z-matrix for such a system. So if the only two
   options available are cartesians and Z-matrix AND the
   molecule is unpleasantly complex, cartesians
   should be preferred. 
   In agreement with this, many papers mention that cartesians
   are superior to anything else for polycyclic molecules.
   However, these statements are NOT independent of 2.)

2. The quality of the initial Hessian that is available.
   Because of the couplings they introduce, cartesians do
   in general not have the best reputation. However,
   Baker and Hehre showed that if a good approximation to the Hessian
   is available, cartesians perform comparably to other
   sets of internal coordinates. They also stress, that for
   FLEXIBLE polycyclic systems (whatever that may be) they found
   the performance of cartesian coordinates to be below internal
   coordinates.

A few of the relevant references are:
J.Baker and W.J. Hehre, J.Comp.Chem. 12, 606 (1991)
J.Baker, J.Comp.Chem. 14, 1085 (1993)
J.Baker and D.Bergeron, J.Comp.Chem. 14, 1339 (1993)
P.Pulay and G.Fogarasi, J.Chem.Phys. 96, 2856 (1991)

 
 Hope this helps,
 Folke


Folke Noertemann
Lehrstuhl f. Theoret. Chemie
TU Muenchen
noertema@theochem.tu-muenchen.de

From idimitr@cc.uoi.gr  Sat Jul 18 10:33:41 1998
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Date: Sat, 18 Jul 1998 19:35:01 +0200 (GMT+0200)
From: Ioannis Dimitropoulos <idimitr@cc.uoi.gr>
Message-Id: <199807181735.TAA01009@cc.uoi.gr>
To: MARYJO@neu.edu, chemistry@www.ccl.net
Subject: Re: CCL:gradients


Dear Mary,
On Fri, 17 Jul 1998 you wrote asking about programs to calculate 
the gradient of a function.
I would suggest to look at the UR
http://nrt.cs.uoi.gr/merlin/
The source code of the program can be downloaded - though the
program is an environment for multidimensional minimization it provides for analytical
and numerical gradients (hessians as well) - the user has to provide the function of
cource,
regards
I.N. Demetropoulos
Chemistry Dept Ioannina,Greece

From mckelvey@ncsa.uiuc.edu  Sat Jul 18 11:23:50 1998
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Date: Sat, 18 Jul 1998 10:25:17 -0700
To: E.Tajkhorshid@DKFZ-Heidelberg.de
From: John McKelvey <mckelvey@ncsa.uiuc.edu>
Subject: Re: CCL:G:Dipole moment of a charged species (Summary)
Cc: chemistry@www.ccl.net
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An origin independent dipole  moment of a charged molecule _is not defined_.
The leading term of the multipole moment expansion is Q*Z where Q is the
molecular charge and Z represents a position in space.  If a molecule is
charged then some _arbitrary_ choice has to be made for Z; thus you can
have a dipole moment for a molecule if you are convinced about the location
of Z.


John McKelvey
NCSA

At 04:10 PM 7/16/98 -0700, you wrote:
>Thank you very much for your replies.
>
>However, it is still not clear to me whether I can report the dipole
moments of
>two charged species in a scientific paper or not. I mean, can I compare
dipole
>moments of molecule_1 and molecule_2 (both negative ions, and the dipole
>moments are calculated after transforming the coordinate to a
mass-weighted or
>charge-wieghted system) and can I say that the dipole moment of 1 is larger
>than 2, or if we align two molecules, the direction of the dipole vector with
>respect to the carbon chain is the opposite for molecule 1 as compared to the
>one in molecule 2. Since I would like to report these numbers in a scientific
>papers, I am a bit conservative. Perhaps I may pose the question in another
>way, asking:
>Do you know any paper where the dipole moments of the ionic species are
>compared and/or discussed? Or the people prefer not to discuss these
numbers in
>their paper ....
>
>The Q and summary of replies:
>
>***************************************************************************
****
>Dear Colleagues
>
>I have calculated two molecules using gas phase calculations and a number of
>different solvent models. They are both negatively charged species. Now the
>question is whether and how we can compare the dipole moments between these
>molecules and among different solvent models. I mean, the values, and also
the
>directions, calculated for the dipole moment of a charged species are
>completely dependent on the origin of the coordinates. With this regard, how
>are the dipole moments calculated in quantom chemical calculations
>(particularly, I am interested in the reported values in the output of the
>Gaussian94 or DMOL programs)? And (how) can we use them for further
analysis of
>the results or it is better to look at other properties like the atomic
>charges?
>
>***************************************************************************
***
>From:    Wayne Steinmetz <WSTEINMETZ@POMONA.EDU>
>Date:    Tue Jul 14, 10:17am -0700
>To:      E.Tajkhorshid@DKFZ-Heidelberg.de
>Cc:
>Subject: Re: CCL:G:G:Dipole moment of a charged species
>
>Be very careful since the species to be compared possess net charge.
>It is a consequence of the principles of electricity and magnetism that
>the dipole moment is dependent on the choice of the origin when the
>molecule has net charge.  In fact, the dipole moment can be
>made zero by choosing the origin of the charge distribution at the center
>of the charge.  The value of the dipole moment is independent of the origin
>when the molecule has no net charge.
>
>*****************************************************************************
>From:    liang@wavefun.com <liang@wavefun.com>
>Date:    Tue Jul 14, 10:35am -0700
>To:      E.Tajkhorshid@dkfz-heidelberg.de
>Cc:      liang@wavefun.com
>Subject: Re:  CCL:G:G:Dipole moment of a charged species
>
>Dear Emad,
>
>For an N point charge system of total charge Q, the dipole moment is
>
>D = sum_i [ x_i * q_i ]
>
>where x and q are position vector and charge on point i.  By translating
>to the center of geometry,
>
>X = (1/N) sum_i [ x_i ]
>
>one obtains
>
>D = sum_i [ (x_i - X) * q_i ] + X * sum_i [ q_i ]
>  = D0 + X*Q
>
>D0 is a value that is independent of the positions of the point charge and
>therefore may be used for comparison purposes.  For a continuous charge
>distribution, substitute an integral for the sum.
>
>Regards,
>Liang
>
>***************************************************************************
>From:    Doug Fox <lorentzian.com!gaussian.com!fox>
>Date:    Tue Jul 14, 12:19pm -0400
>To:      uunet.uu.net!uunet!DKFZ-Heidelberg.de!E.Tajkhorshid%lorentzian.com
>Cc:
>Subject: Re: CCL:G:G:Dipole moment of a charged species
>
>  Emad,
>
>   The dipole moment of a charge species includes a contribution from
>the separation of charge and the center of nuclear charge.  Thus one
>approach is to compare dipoles with the origin at the center of charge
>to zero this contribution.  In Gaussian this is the origin for the
>standard orientation and the orientation used in multipole report in the
>log file, not in the archive entry or if you use NoSymm.  I don't know
>what DMOL reports but it should be fairly simple to correct one to the
>other.
>
>****************************************************************************
>From:    John McKelvey <mckelvey@ncsa.uiuc.edu>
>Date:    Tue Jul 14,  2:06pm -0700
>To:      E.Tajkhorshid@dkfz-heidelberg.de
>Cc:
>Subject: Re: CCL:G:G:Dipole moment of a charged species
>
>Emad,
>
>I like using the charge-reference-coordinate as being the neutral molecule
>valence-electron-weighted (x,y,z) point in space.  It puts the emphasis on
>where the meaningful chemistry is.
>
>Mass-weighted systems might also be useful, but there could be a
>significant shift, for example, if a H or F atom were replaced by, say,
>Iodine.
>
>Regards,
>
>John McKelvey
>NCSA
>
>***********************************************************************
>From:    Preston J. MacDougall <macdouga@sally.nas.nasa.gov>
>Date:    Tue Jul 14,  1:42pm -0700
>To:      E.Tajkhorshid@DKFZ-Heidelberg.de
>Cc:
>Subject: atomic first moments
>
>Dr. Tajkhorshid,
>   You are correct that the dipole moment of a charged species is
>origin dependent.  Packages must select origins anyway, so the computed
>dipole moment must be taken for what it is worth.  You can assign
>first moments to the consituent atoms in a molecule or ion, whether
>there are partial charges on them or not (see J. Chem. Phys., vol. 87,
>p. 1142 (1987)).  The first moment of an atom is also origin dependent,
>but is naturally chosen as the nucleus.  I am not sure, but I believe
>that these first moments can be calculated from a G94 wavefunction using
>the AIMPAC option.  If not, the AIMPAC software can be downloaded off of
>the internet at http://www.chemistry.mcmaster.ca/aimpac/
>
>Hope this helps in your research,
>
>Dr. Preston J. MacDougall
>NASA-ASEE-Stanford Summer Faculty Fellow
>MS T27-A, NASA Ames Research Center
>Moffett Field, CA 94035
>
>**************************************************************************
>
>
>-- 
>Emad
>*********************************************************************
>E. Tajkhorshid				
>German Cancer Research Center; DKFZ             Tel: +49 6221 42 2340
>Dept. Molecular Biophysics (H0200)              FAX: +49 6221 42 2333
>P.O.Box 101949			   
>69009 Heidelberg, Germany     Email: E.Tajkhorshid@DKFZ-Heidelberg.de 
>*********************************************************************
>* "Never express yourself more clearly than you think." -Niels Bohr *
>*********************************************************************
>
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