From assfeld@host23.lctn.u-nancy.fr  Tue Jul 28 03:29:10 1998
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Subject: Positives eigenvalues ?
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Dears CCLers,

I have a very basic question about quantum mechanics using finite 
basis set.

1) Let's start with the continuous form of the Hamiltonian (H). For simplicity,
let's take the simple system, the Hydrogen atom.

H = -(1/2)D + V, where D is the Laplacian, V the electrostatic potential 
(V = -1/r ; r : distance between the nucleus and the electron ) in atomic
units.

We have then the Schrodinger equation to solve : H Y = E Y
where Y is the wave function of the system and E the energy associated to Y.
There is an infinity of bound states solutions, called 1s, 2s, 2p ,....
All these solutions have an associated negative energy, which are accumulating
under zero. [E = -(1/2)(Z^2/n^2)]
However, when V is zero, the solutions of the Schrodinger equation form a
continuum with positive energies.
The essemble composed of the discrete negatives eigenvalues and the positive
continuum is called the spectrum of the Hamiltonian.

2) Now let's use a basis set to solve the previous problem. All states Y 
can be written as a linear combination of the basis functions. Then, we use
the variational principle (orthogonalisation + diagonalization) to find
the best set of coefficient which gives the best (lower) energy. We are
then focusing on the ground state.
With any basis set of N functions, one finds only one negative eigenvalue
(corresponding to the 1s state) and (N-1) positives eigenvalues.

And now here is my question : (at least!)

WHAT ARE THESE POSITIVES EIGENVALUES ? 
   1) Are they some values of the positive continuum of the spectrum ? 

 I personally don't think so since V is not equal to zero.

   2) Or do they correspond to other bound states that are so badly 
      represented, because of the variationnal principle, that they are 
      positives ? 

 That is what I believe but have no proof.

   3) Or are the zeros different in the two representations ?

 I don't think so because the zeroes mean the same : the atom is ionized.

   4) Anything else ?

I would be very gratefull if someone can point me some references dealing
with this, or some textbook, or just teach me.
Please reply to me directly, I will summarize to the list after.

PS : I deliberatly choose the hydrogen atom since the Hamiltonian is the
same as the Fockian, and people can perform calculations easily with any
quantum chemical package with various basis set.


                                      ...Xav
                                      

---------------------------------------------------------------------------
Ast. Pr. Xavier Assfeld                          assfeld@lctn.u-nancy.fr
Laboratoire de Chimie theorique                  (T) 33 3 83 91 21 49
Universite Henri Poincare                        (F) 33 3 83 91 25 30
F-54506 Nancy BP 239                             http://www.lctn.u-nancy.fr


From hjj@dou.dk  Tue Jul 28 05:28:02 1998
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Dear Xav,

You don't explain how you get your positive eigenvalues.
However, from what you write I would guess you have
obtained them with an ROHF program, specifying just one
electron. You see, the Fock matrix is NOT identical to
the Hamiltonian matrix (bare nucleus matrix) for a one-
electron system. The Hamiltonian matrix has as expected
a number of negative eigenvalues corresponding to 1s, 
2s, 2p, etc., the number and accuracy depending on the
quality of the basis set. However, the Hamiltonian matrix
correspond to the zero-electron Fock matrix, not the 
one-electron Fock matrix. The eigenvalue of the occupied
orbital is identical to the value from the Hamiltonian matrix.
The other eigenvalues, the virtual eigenvalues of the 
one-electron Fock matrix, correspond to approximate electron
affinities (Koopmans' theorem), that is to forming the H-
system.

  -- Hans Joergen.

From dbuttar@hxsgi2.zeneca.com  Tue Jul 28 06:46:46 1998
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From: "David Buttar" <dbuttar@hxsgi2.zeneca.com>
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 We are currently considering purchasing a code that will enable us to perform
DFT calculations. I would like to ask if anyone has any comments on the
following queries,

[1]. Relative performance of Gaussian98, Cadpac, Unichem, ADF etc.

[2]. The literature would indicate that the B3LYP functional is currently one
of the most popular approaches to use, is this preferable to non-hybrid
functionals such as BLYP.

[3].  The suitability of the methods to study structures and binding energies
of transition metal complexes and organic reaction profiles.

Any thoughts or comments would be welcome,

Thanks,
       David.

-- 
********************************************************************
Dr. David Buttar             	e-mail: dbuttar@hxsgi2.zeneca.com        	
Zeneca Specialties	 	
Molecular Modelling Group	Tel:    (0161)-721-1673
Research Centre
Hexagon House			Fax:    (0161)-721-2612
Blackley			 	
Manchester M9 8ZS	 	
U.K.					
*********************************************************************

From arloa@dqo.fcq.unc.edu.ar  Tue Jul 28 08:25:08 1998
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Date: Tue, 28 Jul 1998 09:25:15 -0300 (ARST)
From: Marcos Villarreal <arloa@dqo.fcq.unc.edu.ar>
To: chemistry@www.ccl.net
Subject: Hardware for modeling
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Hi CCLers.

I am starting my PhD in Chemistry. I will study Lipid-Protein
interaccion whit empiricals force fields. We have few
computer resourses, so we are going to by one computer.
We have aronud $ 3000 and the way I see, we have two alternatives:
a) one single procesor Pentium 2 of 400 whit one disk of 9 Gb.
b) two procesor Pentium 2 of 266 whit two disks of 4 Gb.
Both  whit 128 Mb RAM and RED HAT Linux. I will be the only one
using this machine.
Which one is the best for MM/MD.
   Thank you very much in advance.
                                                        


From Rissers-C@BATTELLE.ORG  Tue Jul 28 08:46:00 1998
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From: "Risser, Steve" <Rissers-C@BATTELLE.ORG>
Subject: Positive eigenvalues
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Dear Xav

That fact that you have positive and negative eigenvalues is simply a
function of the Hamiltonian.  As an example, think of the finite square well
problem.  There is a minimum of one, but possibly many, bound (negative
energy) states associated with the well, but there is also an infinite
number of unbound (positive energy) states also that are solutions.  Any
time you have an finite potential, there will be unbound solutions that
exist.

The question of how many of the bound and unbound states you can represent
with a finite basis depends on the basis, not on the Hamiltonian.

Steve
********************************************************
Dr Steven M. Risser
Associate Professor, TAMU-Commerce

Visiting Scientist at Battelle Memorial Institute
**********************************************


From mn1@helix.nih.gov  Tue Jul 28 11:34:48 1998
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Date: Tue, 28 Jul 1998 11:34:46 -0400 (EDT)
From: "M. Nicklaus" <mn1@helix.nih.gov>
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To: CHEMISTRY@www.ccl.net
Subject: Re: color printers
Cc: mn1@helix.nih.gov


On Mon, 27 Jul 1998 19:45:55, Themis Lazaridis <lazarid@fas.harvard.edu> wrote:

> Can anybody recommend a color printer that works well for Acrobat PDF
> documents with color? We have an HP color printer here but it doesn't 
> seem to be able to handle the large size of these jobs.

We bought a QMS magicolor 2 EX color laser printer a few weeks ago.  With
80 MB of RAM and a hard drive preinstalled, we've never seen it balk on
any job we've thrown at it so far.  This includes color output from
Adobe Acrobat PDF documents (although I haven't checked how large those
print jobs got).

The printer comes with an Ethernet NIC preinstalled.  We print to it
>from Windows 3.11, Windows 95, MacOS, IRIX 5.3, IRIX 6.3 and 6.4, and
probably a few more platforms that I forget now.  Print quality is very
good in color and black and white, with B&W (text) output being as good
as on any B&W only laser printer.

If you shop around, you should be able to get this printer for >US$4,300.

Marc


------------------------------------------------------------------------
 Marc C. Nicklaus                        National Institutes of Health
 E-mail: mn1@helix.nih.gov               Bldg 37, Rm 5B29
 Phone:  (301) 402-3111                  37 Convent Dr, MSC 4255       
 Fax:    (301) 496-5839                  BETHESDA, MD 20892-4255    USA 
      http://rex.nci.nih.gov/RESEARCH/basic/medchem/mcnbio.htm
    Laboratory of Medicinal Chemistry, National Cancer Institute,  &
  Center for Molecular Modeling, Ctr. for Information Technology, NIH
------------------------------------------------------------------------


From ccl@www.ccl.net  Mon Jul 27 20:08:47 1998
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From: "Dr. Dave Winkler" <Dave.Winkler@molsci.csiro.au>
Subject: Large database availability



Dear Netters,

I would like to acquire one or more large chemical structure databases for
some research on developing new molecular representations for QSAR.  I
already have Maybridge, CSD and NCI.  Is there a way of obtaining a 'chunk'
of compounds in CAS (maybe a substantial fraction of the 18 million) which
have been converted to 3D by Concord  or similar, or at least are available
in 2D or SMILES which I could convert?  Databases indexed by CAS number
would be most suitable but I would like to hear about any other options.

Can anyone also advise on the AVAILABILITY of programs such as Marshall's
DBMaker or similar which can generate hypothetical molecules.

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
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Australia 	        		http://www.molsci.csiro.au


















From szarecka@sg3.pcy.kcl.ac.uk  Tue Jul 28 09:16:35 1998
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My name is Agnieszka Szarecka.
 I'm a PhD student at Adam. Mickiewicz University in Poznan, Poland. Now
I'm studying temporarily at King's Coll. London on MD simulation of
crystallisation and using AMBER parameters. I'd like to simulate
chloroform though and I need force fields parameters for chlorine-sp3
carbon bond, chlorine-sp3C-chlorine, chlorine-sp3C-hydrogen bond
angles.  And relevant non-bonded parameters as well.
Maybe somebody has already come across this problem and knows the best
values for the parameters?






From calef1@llnl.gov  Tue Jul 28 18:39:02 1998
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From: Dan Calef <calef1@llnl.gov>
Subject: West Coast Regional Meeting - LAST CHANCE (maybe...)
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Dear Colleagues,

We are getting down to the wire on this....

The Northern California Section of the American Chemical Society and the 
Society for Applied Spectroscopy is hosting the 34th Western Regional ACS 
Meeting in San Francisco on October 29th through the 31st.  We have been 
asked to organize a session, or perhaps two, on computational chemistry.  
Readers of the list who are interested in presenting a paper at the
conference 
are urged to submit a title, soon, and an abstract shortly thereafter.
This 
can include, for example, molecular dynamics of materials, MD of 
biomaterials, computational chemistry in support of combinatorial 
chemistry, and new methods. 

 At the meeting two years ago, we had so many papers we split it into two 
sessions.  Graduate students and post-docs are encouraged to submit papers.  
This is an excellent opportunity to present your work to a wider audience.

Dan Calef
Calef1@llnl.gov
925-422-7797
Mail Stop L-092

Larry Fried
Fried1@llnl.gov
925-422-7796

Lawrence Livermore National Laboratory
P.O. Box 808
Livermore CA 94550


 



From sshobana@mail.med.cornell.edu  Tue Jul 28 19:21:24 1998
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Date: Tue, 28 Jul 1998 19:24:31 -0400
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From: Shobana Sundaram <sshobana@mail.med.cornell.edu>
Subject: Ester linkages


Hello,
        Can anyone mail me CHARMM force field parameters for carbonyl carbon
- ester oxygen - sp3carbon ? I want to simulate a peptide that has alternate
peptide and ester linkages. Thanks.
-shobana

Shobana Sundaram
Dept.of Physiology & Biophysics
Cornell University Medical College
New York, NY-10021



