From chemistry-request@server.ccl.net Wed Jun 13 08:46:43 2001
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From: Dudis Douglas S Civ AFRL/MLBP <Douglas.Dudis@wpafb.af.mil>
To: "'chemistry@ccl.net'" <chemistry@ccl.net>
Subject: quotation 
Date: Wed, 13 Jun 2001 08:42:37 -0400
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Simple request.  I am looking for the exact quotation (preferably with a reference) for
the quote that goes along the lines:

'... the laws governing most of physics, and all of chemistry, are now known ...'

Help much appreciated.
Doug Dudis

-------------------------------
Douglas S. Dudis, Ph.D.
Research Leader - Polymers
Air Force Research Laboratory
Materials and Manufacturing Directorate
2941 P St., Bldg. 654, Ste. 347
Wright-Patterson AFB, OH 45433-7750
Phone: (937) 255-9148
FAX: (937) 255-9157
e-mail:Douglas.Dudis@afrl.af.mil



From chemistry-request@server.ccl.net Wed Jun 13 09:14:17 2001
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Date: Wed, 13 Jun 2001 09:14:14 -0400 (EDT)
From: Jan Labanowski <jkl@ccl.net>
To: Dudis Douglas S Civ AFRL/MLBP <Douglas.Dudis@wpafb.af.mil>
cc: Jan Labanowski <jkl@ccl.net>, "'chemistry@ccl.net'" <chemistry@ccl.net>
Subject: Re: quotation 
In-Reply-To: <53A10F824E50D511820800508BDF3F2214CADD@fszhtv12.wpafb.af.mil>
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Try CCL archive search:

http://server.ccl.net/htdig/


and try 
dirac citation


or
http://server.ccl.net/cgi-bin/ccl/message.cgi?2001+03+15+013

Jan
(I am abroad, please do not send me e-mail unless you have to).

On Wed, 13 Jun 2001, Dudis Douglas S Civ AFRL/MLBP wrote:

> Simple request.  I am looking for the exact quotation (preferably with a reference) for
> the quote that goes along the lines:
> 
> '... the laws governing most of physics, and all of chemistry, are now known ...'
> 
> Help much appreciated.
> Doug Dudis
> 
> -------------------------------
> Douglas S. Dudis, Ph.D.
> Research Leader - Polymers
> Air Force Research Laboratory
> Materials and Manufacturing Directorate
> 2941 P St., Bldg. 654, Ste. 347
> Wright-Patterson AFB, OH 45433-7750
> Phone: (937) 255-9148
> FAX: (937) 255-9157
> e-mail:Douglas.Dudis@afrl.af.mil
> 
> 

Jan K. Labanowski            |    phone: 614-292-9279,  FAX: 614-292-7168
Ohio Supercomputer Center    |    Internet: jkl@ccl.net 
1224 Kinnear Rd,             |    http://www.ccl.net/chemistry.html
Columbus, OH 43212-1163      |    http://www.ccl.net/


From chemistry-request@server.ccl.net Wed Jun 13 06:53:16 2001
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From: =?iso-8859-1?Q?S=E9rgio_Emanuel_Galembeck?= <segalemb@usp.br>
To: <chemistry@ccl.net>
Subject: compilation error on G98
Date: Tue, 12 Jun 2001 17:52:05 -0300
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Dear G98 gurus,

    I am trying to install G98 Rev A.7 in an athlon 800MHz with RedHat 7.1
and pgf77, but I had a compilation error in a C routine:

----------------------------------------------------------------------------
--------------------------------------------------
uname -a
Linux athlon 2.4.2-2 #1 Sun Apr 8 20:41:30 EDT 2001 i686 unknown

make -f ../bsd/g98.make JUNK1=JUNK mdutil.o
cc -g -I/usr/g98 -I/usr/g98s -DGAUSS_PAR -DGAUSS_THPAR  -DDEFMAXSHL=20000 -D
DEFMAXATM=20000 -DDEFMAXNZ=20000 -DDEFNVDIM=257 -DDEFARCREC=1024 -DMERGE_LOO
PS -DUSE_ESSL -D_I386_ -DLITTLE_END -DUSING_F2C -DDEFMAXIOP=100 -DDEFMAXCHR=
1024 -DDEFLMAX=13 -DDEFN3MIN=10 -DDEFMAXHEV=2000 -DDEFCACHE=64 -DDEFMAXLECP=
10 -DDEFMAXFUNIT=5 -DDEFMAXFFILE=10000 -DDEFMAXFPS=1300 -DDEFMAXINFO=200 -DD
EFMAXOP=120 -DDEFMAXTIT=100 -DDEFMAXRTE=4000 -DDEFMAXOV=500 -D_ALIGN_CORE_ -
DCA1_DGEMM -DCA2_DGEMM -DCAB_DGEMM -DLV_DSP -DO_BKSPEF -DDEFMXTS=1500 -DDEFM
XBAS=500 -DDEFMXOPT=50 -DDEFMXBOND=12 -DDEFMXSPH=250 -DDEFMXINV=1500   -mali
gn-double -m486 -fexpensive-optimizations -O3 -ffast-math -funroll-loops  -c
bsd/mdutil.c
bsd/mdutil.c: In function `etime_':
bsd/mdutil.c:2319: `CLK_TCK' undeclared (first use in this function)
bsd/mdutil.c:2319: (Each undeclared identifier is reported only once
bsd/mdutil.c:2319: for each function it appears in.)
bsd/mdutil.c: In function `fdate_':
bsd/mdutil.c:2332: warning: assignment makes pointer from integer without a
cast
make: *** [mdutil.o] Error 1
----------------------------------------------------------------------------
--------------------------------------------------

        Thank you for any advice,

                        Best regards,

                                        Sergio

==============================================================
Sergio Emanuel Galembeck
Assistant Professor in Physical Chemistry
Laboratório de Modelagem Molecular
Departamento de Química
Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto
Universidade de São Paulo
Av Bandeirantes, 3900
Ribeirão Preto, SP
Brasil

phone: +55-16-602-37-65
fax: +55-16-633-81-51
e-mail: segalemb@usp.br
==============================================================



From chemistry-request@server.ccl.net Wed Jun 13 08:06:24 2001
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From: "TELKUNI" <telkuni@venus.dti.ne.jp>
To: <chemistry@ccl.net>
Subject: Summary - How to find the molecular multiplicity?
Date: Wed, 13 Jun 2001 21:00:34 +0900
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  Hello! CCLers

  Earlier this week, I posted a question about molecular multiplicity.

Original question:
>   I am using Gaussian98W and have basic question of quantum chemistry.
>
>   Starting with the G98 calculation, we must set the Charge and Multiplicity,
> but I don't know the practical method to find the each molecular multiplicity.
>
>   I have read books and chemical articles which are describing the multiplicity
> and its numerical expression. But I can't find the other methods except the
> numerical expression.
>
>   Does any chemical researcher always calculate the molecular multiplicity with
> such numerical expression in his brain?  Or is there any other method?
>
>   I will summarize the answers for novice quantum chemistry researcher, just like me!

 I have received very useful replies and summarize them. Reading these replies, I aware
that there are something easy rules to find the molecular multiplicity. If you like to get in
touch with replyers, please let me know.
 
 I hope this summary will be helpful to some others.

 Thanks a lot!

**** 1) from Alan Shusterman ****
In most cases the multiplicity can be set according to the following rules:

All electrons in pairs --> singlet (multiplicity = 1)
One unpaired electron (free radical) --> doublet (multiplicity = 2)

Two unpaired electrons (diradical) -->
and unpaired electrons have opposite spin --> singlet (multiplicity = 1)

or

and unpaired electrons have same spin --> triplet (multiplicity = 3)

Multiplicity is the number of degenerate spin eigenfunctions that can be attached 
to the spatial part of the wavefunction.


**** 2) from David Shobe ****
First of all, for closed shell molecules--including most of the isolable
organic molecules--the multiplicity is 1, no further questions needed.
Essentially "closed shell" means that the molecule follows the octet rule.  

Molecular fragments such as radicals and carbenes may have multiplicity >1.
Organic radicals can be assumed to have multiplicity 2 (with very rare
exceptions).  Carbenes can be either 1 or 3 (singlet or triplet), as can
biradicals such as tetramethylene and "trimethylenemethane"
(2-methylene-1,3-propanediyl).  If the multiplicity is unknown, you have to
try both.

The d-block elements and some of the f-block elements are trickiest.  You
may recall the "high-spin" and "low-spin" states from ligand field theory.
Even worse, the multiplicity tends to become blurred when relativistic
effects (spin-orbit coupling) are taken into account.  Again, in cases of
unknown multiplicity, one has to try two or more options, each of which is a
separate calculation.

Generally, instead of using the formula in the quantum textbooks, I just add
1 to the number of unpaired electrons (singly-occupied orbitals).  The
textbook formula is very useful, however, in determining what S**2 should
be.  This is important as a multiplicity=3  calculation is not guaranteed to
yield the correct S**2 value of 2.000.  This is known as spin contamination,
as it involves mixing-in of higher spin states.


**** 3) from Mary O'Connor ****
Hello--
     A general guideline (or so I have read), is that most organic molecules in the
ground states are closed shells, and thus, have a multiplicity of one and no
charge. Since multiplicity only means the number of ways that an electron can
orient itself to a magnetic field, no unpaired electrons means it can only be in
one orientation. I thonk the formula is 2J + 1 for spin states, where J is +/- 1/2.
For closed shells this sums to 1. Then feed any unpaired electrons into the
formula. I suppose this could be done by drawing Lewis structures to find the
number of unshared electrons. Sometimes, knowing the charge will preset your
options for multiplicity in Gaussian. My first instinct is to go with the lowest
multiplicity choice offered to you, as this will probably be either the correct
one, or the first excited state. I'm fairly new with Gaussian myself, but these are
the ideas I keep in mind. I will be interested in the other replies that you get.
  Good luck!


**** 4) from Wang Dongqi ****
Dear Telkuni,
There is an easy way to find the multiplicity. Just to find the number of
the unpair electron, so you will get the multiplicity=2S+1.(S=n*1/2, n is
the number of unpair electron), that is, to molecules and ions, S=0, while
to radical, S=n*1/2. OK?

Wish this is useful for you.


---------------------------------------------------
       Telkuni Tsuru     telkuni@venus.dti.ne.jp



From chemistry-request@server.ccl.net Tue Jun 12 23:39:17 2001
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From: Eric Scerri <scerri@chem.ucla.edu>
Subject: phase/orbitals (alleged earlier posting)
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Apologies for the confusion.  In fact I failed to send my earlier 
posting which I have now corrected.  Here it is (or was).




>Dr. Richard L. Wood:
>
>>  I think he means that the idea of an orbital is NOT a mathematical
>>  concept, but a "physical", i.e. from a physics point of view,
>>  concept.
>
>Well, we apparently disagree. To me, the idea of "orbitals" in the
>case of a many electron system is basically a mathematical concept,
>since these "orbitals" have no physical reality.  But they do of
>course have physical significance, in so far as they are excellent
>approximate models in the rationalization of many kinds of physical
>and chemical behaviour.
>
>Yours, Jens >--< 
>
>=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
>JENS SPANGET-LARSEN
-----------------------------------------------------

I agree with Jens regarding the mathematical nature of orbitals 
although when I recently gave a talk on this topic and presented a 
very similar position to the above I was urged to consider the 
experiments which purport to reveal phase information.  The 
implication was that I was incorrect in ruling out the possibility of 
ever observing orbitals.  This troubled me and this is what led to my 
posting.

So far the many responses I have received seem to suggest that phase 
information may be obtainable but that this still does not imply that 
individual atomic/molecular orbitals have been or ever will be 
observed in many-electron systems.

But I wonder whether the approximate nature of orbitals in 
many-electron systems might be a separate issue from whether they 
might be observable in general.

Orbitals are presumably not observable in H atoms either although 
within a non-relativistic Schrodinger treatment they are defined 
exactly.  Should we perhaps separate the approximate nature of 
orbitals in N electron systems from the more categorical aspect that 
an orbital is not an actual electron path, even in H, or He+, or Li2+ 
etc although the term "orbital" wrongly suggests that it might be.

So until somebody observes phase information in any one-electron 
system I think I can continue to insist that orbitals cannot be 
observed.


eric scerri
-- 


Dr. Eric Scerri ,
UCLA,
Department of Chemistry & Biochemistry,
607 Charles E. Young Drive East,
Los Angeles,  CA 90095-1569
USA

E-mail :   scerri@chem.ucla.edu
tel:  310 206 7443
fax:  310 206 2061
Web Page:    http://www.chem.ucla.edu/dept/Faculty/scerri/index.html

Editor  of  Foundations of Chemistry
http://www.wkap.nl/journalhome.htm/1386-4238

Also see International Society for the Philosophy of Chemistry
http://www.georgetown.edu/earleyj/ISPC.html


From chemistry-request@server.ccl.net Wed Jun 13 10:37:13 2001
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Date: Wed, 13 Jun 2001 08:37:47 -0500 (CDT)
From: Jamal Uddin <uddin@chem.wisc.edu>
Subject: Re: CCL:quotation
To: Dudis Douglas S Civ AFRL/MLBP <Douglas.Dudis@wpafb.af.mil>
CC: "'chemistry@ccl.net'" <chemistry@ccl.net>
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Dr. Dudis,

This was written by P. A. M. Dirac:

"The underlying physical laws necessary for the mathematical theory of a
large part of physics and the whole of chemistry are thus completely
known, and the difficulty is only that the exact application of these laws
leads to equations much too complicated to be soluble."

- P. A. M. Dirac, Proc. Roy. Soc. 123, 714 (1929)


(Note: This is not taken from the original reference)



Cheers,


Jamal Uddin


 

On Wed, 13 Jun 2001, Dudis Douglas S Civ AFRL/MLBP wrote:

> Simple request.  I am looking for the exact quotation (preferably with a reference) for
> the quote that goes along the lines:
> 
> '... the laws governing most of physics, and all of chemistry, are now known ...'
> 
> Help much appreciated.
> Doug Dudis
> 
> -------------------------------
> Douglas S. Dudis, Ph.D.
> Research Leader - Polymers
> Air Force Research Laboratory
> Materials and Manufacturing Directorate
> 2941 P St., Bldg. 654, Ste. 347
> Wright-Patterson AFB, OH 45433-7750
> Phone: (937) 255-9148
> FAX: (937) 255-9157
> e-mail:Douglas.Dudis@afrl.af.mil
> 
> 
> 
> -= This is automatically added to each message by mailing script =-
> CHEMISTRY@ccl.net -- To Everybody  | CHEMISTRY-REQUEST@ccl.net -- To Admins
> MAILSERV@ccl.net -- HELP CHEMISTRY or HELP SEARCH
> CHEMISTRY-SEARCH@ccl.net -- archive search    |    Gopher: gopher.ccl.net 70
> Ftp: ftp.ccl.net  |  WWW: http://www.ccl.net/chemistry/   | Jan: jkl@ccl.net
> 
> 
> 
> 
> 


From chemistry-request@server.ccl.net Wed Jun 13 10:46:58 2001
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Reply-To: "Alexandre Hocquet" <hocquet@univ-mlv.fr>
From: "Alexandre Hocquet" <hocquet@univ-mlv.fr>
To: "Dudis Douglas S Civ AFRL/MLBP" <Douglas.Dudis@wpafb.af.mil>,
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Subject: Re: CCL:quotation 
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> '... the laws governing most of physics, and all of chemistry, are now
known ...'

Hi Doug,

Your quotation might be "The underlying physical laws necessary for the
mathematical theory of a large part of physics and the whole of chemistry
are thus completely known, and the difficulty is only that the application
of these laws leads to equations much too complicated to be soluble".
It has been extracted from : "Quantum mechanics of many-electron systems"
Dirac PAM (1929) Proc R Soc Lond Ser A 123: 714
It has been commented in : Kutzelnigg W, Theoretical Chemistry Accounts,
103, (2000), 182-186
And also : Hocquet, A ECCC7 Poster #10: "The Epistemological Status of
Computational Chemistry: A Tentative Sociological Study" at
http://eccc7.cooper.edu/
You may also have a look at : Simoes A and Gavroglu K : " the Americans, the
Germans, and the beginnings of quantum chemistry : the confluence of
diverging traditions ", Historical Studies in the Physical and Biological
Sciences, 25 (1994), 47-110


Hope this helps,

Alexandre Hocquet



From chemistry-request@server.ccl.net Wed Jun 13 12:38:24 2001
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Subject: Re: Summary: Docking of Covalently Bound ligands
From: Scott Dixon <scott@metaphorics.com>
To: chemistry@ccl.net
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Hi,
Just a follow up on Suzie Byum's message, quoted yesterday by David
Turner.  DockIt is a program currently being marketed by Metaphorics,
LLC.  It uses a novel distance geometry based approach to the
computation of ligand conformation and placement.  Thus, it can handle
covalent bonding between receptor and ligand by allowing for user
specified distance constraints.  These constraints can also be useful in
specifying other interactions like particular hydrogen bonds, etc.
DockIt is aimed at hight throughput virtual screening applications and
for further information, or to arrange a test, you can send email to
info@metaphorics.com.
Scott Dixon
Chief Scientific Officer
Metaphorics, LLC


From chemistry-request@server.ccl.net Wed Jun 13 12:57:21 2001
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Date: Wed, 13 Jun 2001 09:57:05 -0700 (MST)
From: Benjamin.Moritz@asu.edu
Subject: Large Mass Atoms
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Dear All,

	I was wondering if anyone can help me out with an isotope problem in G98.  I
want to set the value of some of my atoms to a very large mass, but I'm not sure
how the input file should look.  Do I need two seperate jobs to do this?  Any
help will be greatful.  Thank you.

********************************************************************************
Benjamin J. Moritz				Work: 480-965-8509
College of Engineering and Applied Sciences	Mailto:bmoritz@asu.edu
Dept. of Chemical & Materials Engineering
PO Box 876006
Tempe, AZ
85287-6006
********************************************************************************

From chemistry-request@server.ccl.net Wed Jun 13 12:57:23 2001
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Eric Scerri wrote:

> Apologies for the confusion.  In fact I failed to send my earlier
> posting which I have now corrected.  Here it is (or was).
>

But isn't the actual "orbital" the result of taking a MATHEMATICAL
function and squaring it to get a "probability density"?

And, as such, isn't this "probability density" also a MTHEMATICAL construct?

Later, someone related the "probability density" with the concept of an
"orbital".
And wasn't this someone a physicist?

Please correct me if I'm incocrrect.

Richard

--
Richard L. Wood, Ph. D.
Physical/Computational Chemist
Post-doctoral Associate
Cornell University, Ithaca, NY 14853




From chemistry-request@server.ccl.net Wed Jun 13 16:06:02 2001
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Date: Wed, 13 Jun 2001 15:02:36 -0500 (CDT)
From: Vemparala Satyavani <vani@baton.phys.lsu.edu>
To: chemistry@ccl.net
Subject: how to simulate water
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Hi,
 what is the best way to get an initial state(coordinates) for simulating 
water? What is the best way to have a minimization run on water?

Thanks
vani

From chemistry-request@server.ccl.net Wed Jun 13 16:11:20 2001
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Date: Wed, 13 Jun 2001 16:09:52 -0400
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Dear All,

I work on a protein which catalyzes substrates A and B into a peptide
AB. Obviously, these two substrates have to bind with the protein before
the catalytic reaction can take place. I like to dock these two
substates into the putative binding site and wonder how to dock two
substrates into one binding site at the same time. To dock them one by
one is probably not a good way. One way I like to try is to dock the
peptide AB instead and split AB into A and B followed by some MM/MD
refinement. The purpose of this study is to build a model for the
catalytic reaction. After substrates A and B in the reasonable binding
mode, QM perhaps can be applied to the binding site to search for
tansition state (?). Any comment or suggestion will be greatly
appreciated.

Yours sincerely,

Jian Hui Wu
McGill Translational Research in Cancer
Lady Davis Institute
Jewish General Hospital
Montreal, QC


From chemistry-request@server.ccl.net Wed Jun 13 15:51:54 2001
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hello:
    I apologize for dragging this out, but I would like to add someting to this
discussion.
I attribute the widely accepted yet *wrong* idea that orbitals are real to the
fact that within HF theory,
a physical property can be attributed to the orbital enegies (IP, EA). But just
because the enegies have a
(weak) predictive power does not mean that orbitals are real.  How "physical"
or "mathematical" is it
to take one multiplicative term out of a wavefunction and square it and expect
to get something meaningful?

Lewis dot structures have a somewhat predictive power, but are we going to
start looking for experimental evidence
for lewis dots?

--
Mauricio Cafiero
Doctoral Candidate : Theoretical
                     and Computational
                     Quantum Chemistry
Department of Chemistry
University of Arizona



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<!doctype html public "-//w3c//dtd html 4.0 transitional//en">
<html>
hello:
<br>&nbsp;&nbsp;&nbsp; I apologize for dragging this out, but I would like
to add someting to this discussion.
<br>I attribute the widely accepted yet *wrong* idea that orbitals are
real to the fact that within HF theory,
<br>a physical property can be attributed to the orbital enegies (IP, EA).
But just because the enegies have a
<br>(weak) predictive power does not mean that orbitals are real.&nbsp;
How "physical" or "mathematical" is it
<br>to take one multiplicative term out of a wavefunction and square it
and expect to get something meaningful?
<p>Lewis dot structures have a somewhat predictive power, but are we going
to start looking for experimental evidence
<br>for lewis dots?
<pre></pre>

<pre>--&nbsp;
Mauricio Cafiero
Doctoral Candidate : Theoretical
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; and Computational
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Quantum Chemistry
Department of Chemistry
University of Arizona</pre>
&nbsp;</html>

--------------F9CDE0F5E36BBDA4E6ADC730--



From chemistry-request@server.ccl.net Wed Jun 13 17:40:08 2001
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From: Vemparala Satyavani <vani@baton.phys.lsu.edu>
To: chemistry@ccl.net
Subject: potentials for simulation of water
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Hi all,
 i posted a question regarding simulation of water. The problem i have is 
this:
I am using AMBER potential parameters to simulate water. I have file with 
216 water molecules at experimental density(~1g/cc). when iam 
equilibriating the system, a hydrogen atom is coming close to oxygen(as 
the LJ potential is only between oxygen atoms), and the huge coulomb 
potential takes over(iam using ewald method) and there are these huge 
fluctuations in energy. What do i do about it?

i tried placing the same system in a large box(with half density) and 
tried equilibriating.. but i still have the same problem. How to prevent 
this?

thanks
vani

From chemistry-request@server.ccl.net Wed Jun 13 21:26:10 2001
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From: "N. Sukumar" <nagams@rpi.edu>
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The approximate nature of orbitals in many-electron systems is indeed a very
different issue from the question of "observability" or "physical reality".

LCAO orbitals do not "exist" in many-electron atoms and pi-electron density
is an approximation in polyatomic molecules, but natural orbitals are
well-defined as functions that diagonalize the many-electron density matrix.
Does this mean that natural orbitals are observable?

Electronic phase is certainly not an "observable" in the sense of being an
expectation value of a Hermitian operator, but experimental manifestations of
phase differences can be observed as e.g. the interference of electrons in
the molecular Aharonov-Bohm effect and the Berry phase (Mead and Truhlar, JCP
70, 2284, 1979, exptl.cofirmation by Delacretaz et al. PRL 56, 2598, 1986)

It has been argued likewise that bond lengths and bond angles in polyatomic
molecules are equally "unobservable", being defined only within the
Born-Oppenheimer approximation and ignoring indistinguishability of protons
(extensive discussion by many authors in Israel J. Chem, vol.19, 1980). The
fact that bond distances obtained from quantum calculations performed within
the nonrelativistic B.O. approximation in a finite basis correspond
approximately to distances obtained from an X-ray structure is analogous to
the approximate correspondence between Hartree-Fock orbital energies and
experimental ionization potentials.

For a one-electron system the gradient of the electronic phase has a direct
interpretation as the velocity field, which when multiplied by the electron
density, gives the current density. Madelung (Z. Phys. 40, 332) in 1926
established the fluid dynamical analogy of quantum mechanics by transforming
the Shroedinger equation into a pair of fluid dynamical equations (one of
which is the familiar continuity equation: d/dt(rho) + del.j = 0

So are natural orbitals observable? Well, the total one-electron density is
observable; experimental manifestations of electronic phase differences are
observable. The total current density can now be constructed from the natural
orbital densities and gradients of the orbital phases (orbital velocity
fields). More discussion can be found in my paper "Phase associated with the
single-particle density of many-electron systems", Int. J. Quantum. Chem. 40,
501-510 (1991). If a mathematical construct is suitably defined to correspond
to an experimental situation, it is to me a physical concept.

Dr. N. Sukumar
Rennselaer Department of Chemistry

-- 
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/  Dr. N. SUKUMAR		     /
/  Department of Chemistry           /
/  Rensselaer Polytechnic Institute  /
/  Troy, NY 12180-3590               /
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

From chemistry-request@server.ccl.net Wed Jun 13 23:40:27 2001
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>From: "N. Sukumar" <nagams@rpi.edu>
>Date: Wed, 13 Jun 2001 21:26:05 -0400
>To: chemistry@ccl.net
>Subject: CCL:phase/orbitals
>Sender: "Computational Chemistry List" <chemistry-request@ccl.net>
>
>The approximate nature of orbitals in many-electron systems is indeed a very
>different issue from the question of "observability" or "physical reality".
>

Note that physical methods such as electron momentum spectroscopy 
(EMS) can probe the momentum distributions of orbitals (especially 
valence orbitals) and in that sense allows one to 'visualize' them. 
It is possible to get extremely nice agreement between the 
theoretical momentum distributions from DFT calculations, for 
example, and the experimentally observed MDs.


-- 
Cheers,

Dave

Dr. David A. Winkler                    Email: dave.winkler@molsci.csiro.au  
Senior Principal Research Scientist     Voice: 61-3-9545-2477     
CSIRO Molecular Science			Fax:   61-3-9545-2446
Private Bag 10,Clayton South MDC 3169   http://www.csiro.au
Australia	       		http://www.molsci.csiro.au

For the World Chemical Congress in Brisbane, July 2001 check the details at
http://www.ccm.com.au/wcc


