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                        T R A V E L    G R A N T S

The Computers in Chemistry Division of American Chemical Society invites
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a travel grant.

A limited number of grants of up to $500 will be awarded to selected students.

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From chemistry-request@www.ccl.net  Mon Nov 23 11:09:16 1998
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Date: Mon, 23 Nov 1998 16:57:44 +0100 (NFT)
From: Steven Creve <Steven.Creve@chem.kuleuven.ac.be>
To: Computational Chemistry List <chemistry@www.ccl.net>
Subject: CCL:DFT:local-nl, SUMMARY
Message-ID: <Pine.A41.4.05.9811231656230.50342-100000@hartree.quantchem.kuleuven.ac.be>



Hi,

concerning the discussion "local <-> non-local in DFT", my first 
impression has been that there seems to be a lot of confusion on
definitions in this area. I think that the best definitions and
viewpoints are those offered by Keith Refson, Rene Fournier and Mark
Casida, the first three answers given below. For the sake of
completeness, I have also includede the other answers I received. I'd
wish to thank all people who contributed to this interesting
discussion on the CCL.

Steven
--------------------------------------------------------------------------
Steven Creve                       steven.creve@chem.kuleuven.ac.be
Labo Quantumchemie
Celestijnenlaan 200F
3001-HEVERLEE                      tel: (32) (16) 32 73 93
BELGIUM                            fax: (32) (16) 32 79 92

=================================================================
A N S W E R S  (Refson, Fournier and Casida)
=================================================================

 > is the following correct:
 > 
 > non-local means that the xc potential in point r depends not only on the
 > density in r (and also gradients of rho in r, ...) but also on the density
 > in other points r'.

Exactly. in DFT, the LDA - local density approximation -- is precisely the
statement that 

Exc[n(r)] = integral exc(n(r)) dr

where on the LHS Exc is a functional of the charge density, ie it
depends on the functional form of n(r) and exc(n) is a pure function
of the charge density n at any point r.  Nonlocality corresponds to
increasing the *dimensionality* of the RHS so strictly, generalised
gradient functionals which also depend on grad n are still local.
Hartree-Fock exchange which depends (in the DFT formalism) on

integral ex(n1(r1), n2(r2)) dr1 dr2

is nonlocal.

Email: Keith.Refson@  | Tel: +44 1865 272026 | Dr Keith Refson,              |
       earth.ox.ac.uk | Fax: +44 1865 272072 | Dept of Earth Sciences        |
Spam:            root@cyberpromo.com         | Parks Road, Oxford OX1 3PR, UK|

------------------------------------------------------------------
   Local or nonlocal?

   Good question.  "Gradient-corrected" functionals (Becke88, Perdew86,
Perdew-Wang91, etc...) are often called "non-local" but in my
opinion that's an unfortunate misuse of the term.  I suppose they
came to be called "non-local" because they are NOT the usual local
density approximation (LDA).  But "NOT the USUAL LDA" is not
synonymous with "nonlocal".
   All functionals of the form

              b
   J[f(x)] = S  ( F(x,f,f',f'',...,f(n)) ) dx
              a

are local in the mathematical sense explained in
I.M. Gelf'and S.V. Fomin, "Calculus of Variations"
(Prentice-Hall, Englewood Cliffs, 1963).
J[f(x)] is an integral between a and b; it can be broken
into any number "n" of integrals on contiguous subdomains [a,c_1],
[c_1,c_2], ... [c_(n-1),b], and the subdomains can be chosen as
small as you wish.  So you can decompose J into a sum of local
contributions, irrespective of the order of derivatives in the
integrand F.

    An example of nonlocal functional given by Gelf'and and
Fomin is:

              S x sqrt(1+y'*y') dx
   J[y(x)] = ----------------------
               S sqrt(1+y'*y') dx

which gives the abscissa of the center of mass of a curve
y(x).  You can break the numerator and denominator into 
sums of local contributions, but you can not directly break
J itself into sums of local contributions.
   I think the class of functionals

   J[f] = S S ( f(x) K(x,y) f(y) dx dy )          

should also be called nonlocal (provided  K(x,y) is
"non-diagonal", i.e., K(x,y) is NOT delta(x,y)*K(x,x) )

    If you go by the definition of "local and nonlocal" above,
most functionals in common use (including LYP?) are local.

 --------------------------------------------------------------------
 | Rene Fournier                  | Bureau/Office  303 Petrie       |
 | Chemistry Dpt, York University |      (416) 736 2100 Ext. 30687  |
 | 4700 Keele Street,  Toronto    | FAX: (416) 736-5936             |
 | Ontario, CANADA   M3J 1P3      | e-mail: renef@yorku.ca          |
 --------------------------------------------------------------------


------------------------------------------------------------------
Exchange-correlation functionals may be classified as:

1) Local --- the exchange-correlation energy density functional
   at r, e_xc(r), depends only on the density at r.

2) Semi-local --- e_xc(r) depends only on the density and a finite
   number of its derivatives at r.

3) Nonlocal --- e_xc(r) depends on properties of the density at
   several values of r, typically involving an integral.  (The
   restriction to a finite number of derivatives in (2) is
   because some integrals can be represented as a gradient
   expansion in an infinite number of derivatives.)

The distinction between (2) and (3) is often not made, so that
both are called "nonlocal".  On the other hand, it is probably
worth noting that the generalized gradient approximations (GGAs)
fall under (2) and the older weighted density approximation falls
under (3) and not (2), so the distinction has some value.

                        Hope this helps,
                              Mark.Casida@UMontreal.CA


==================================================================
O T H E R   A N S W E R S :
==================================================================


> 1) what are the *exact* definitions of local vs. non-local?
>

This is an critical point in DFT. Nowadays, there is a great interest in
properties of the exchange and correlation functionals like homogeneity
and locality. From the DFT point of view, a functional is local when all
the terms in the functional derivative, with the exception of the first,
vanish. What does it means?. It can be presumed that we are dealing with
non-local functionals, so we can suppose several non-local dependences
(succesive derivatives of the density) in the exchange or correlation
integrand. From here, the corresponding contribution to the functional
derivative is obtained. The complete corrections to the first, local,
term would reproduce the exact potential if DFT is exact.

>
> 2) is the LYP correlation functional, which incorporates gradient
> corrections, local or non-local?
>

Following the previous discussion:non-local, since it will provide
higher order corrections, non-local, to the local term in the
correlation potential.

Juan Carlos
juancar@fisic1.ua.es
----------------------------------------------------------------------

>1) what are the *exact* definitions of local vs. non-local?

	The term "local" is used in dft to indicate that only the density is being
considered to build the functionals. The term "non-local" is often
(mis)used to indicate that gradient corrections to the density are also
considered to write down the functionals. I prefer the term "gradient
corrections to the density" since "non-local" actually means that one is
modeling the exchange-correlation hole without any connection with the
gradients just mentioned.

>2) is the LYP correlation functional, which incorporates gradient
>corrections, local or non-local?

	Well, the lyp c functional is both local and non-local because it has
terms including both the density and its gradient.

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

In Hartree-Fock theory, the exchange potential is non-local,
i.e. you need to know the wave function at point r and r' to
be able to compute the exchange energy.
In DFT theory, the exchange (or exchange-correlation) potential
is local! It depends only on the properties of the electron density
at point r where you want to compute the exchange energy.
Words "local" and "non-local" frequently used in DFT are misleading
because they do not refer to the potential but to the density! 
A local functional use only the value of the electron density at point r.
A non-local functional use the electron density, but also its 
first, second, ... derivatives at point r.
Hope this helps.

                                      ...Xav

Ast. Pr. Xavier Assfeld             Xavier.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
------------------------------------------------------------------
	I missed your original question. However, the definition of
nonlocal depends upon who is using it.  Some people consider gradient
functionals as nonlocal, some call them quasilocal.  I prefer to consider
as local  any functional whose density (i.e integrand) does not involve an
integral. This would include gradient functionals.
	Nonlocal functionals are rare -- besides the classical coulomb
energy  J[[p(r)]. I've done some for magnetic responses, and for xc in the
presence of a field, but not for the field free case.

Hope this helps 

Fred Salsbury
sals@rabi.cchem.berkeley.edu
http://waugh.cchem.berkeley.edu/~sals
------------------------------------------------------------------
> is the following correct:
> 
> non-local means that the xc potential in point r depends not only on the
> density in r (and also gradients of rho in r, ...) but also on the density
> in other points r'.

No, that's incorrect. The xc potential of nonlocal functionals depends
only on the density, gradient, laplacian at r. The reason why they are
called non-local might be because to know gradient and laplacian of
density at point r, you need to know their behaviors at other points, r',
r", ....

Shubin
------------------------------------------------------------------
> is the following correct:
> 
> non-local means that the xc potential in point r depends not only on the
> density in r (and also gradients of rho in r, ...) but also on the density
> in other points r'.

I don't believe so (but others can answer this better than I). I believe that non-local means
that the energy functional depends on the density at r and the gradient of the density at r.
The functional is independent of density at other points in space.

Alan

Alan Shusterman
Dept of Chemistry
Reed College
Portland, OR
www.reed.edu/~alan
------------------------------------------------------------------
> 1) what are the *exact* definitions of local vs. non-local?

The word "local" is from the "local density approximations", which refers to a
formulation of the density functional theory by Kohn and Sham, Phys. Rev. 140,
A1133 (1965). It assumes that the exchange (and correlation) potential is a
local operator as opposed to the nonlocal operator in the Hartree-Fock theory.
This greatly simplifies the calculation of the exchange (correlation) energy
 but trimmed off subtle physical properties of the exchange-correlation holes
of a realistic electron system.

"Nonlocal" really means "not a local" and in practice, the "generalized
gradient approximations". For the latter, the igonored properties of the
exchange-correlation hole in the "local desnity approximations" have been
recovered to a certain degree. Mainly, the rate of change of the density in the
vicinity of the spatial point where the potential is calculated has been
included: the gradient corrections. However, it is not a simple Taylor
expansion! The spectra in wavelength space were critically examined and some
spurious errors removed.

These jargons have been used by physicists for more than two decades and their
meanings becomes well known after hundreds of papers published debating the
theory and the approximations in the '70s and '80s.  As it is now popular in
the computational chemistry world, probably, less confussion would be caused if
these jargon words could be replaced with more self-interpreting phrases like
"local..." or "local ... with gradient corrections", or "a hybrid of the exact
Hartree exchange and the gradient corrected local density exchange-correlation
potentials".

> 2) is the LYP correlation functional, which incorporates gradient
> corrections, local or non-local?
>

LYP is "nonlocal".

>

Liang Lou
Wavefunction, Inc.
------------------------------------------------------------------

Hi, Steve. This term "non-local" is not correct in general because
gradient potentials STILL local. LYP corr. correction includes both
local and non-local terms. So, the "non-local" is used only to distinct
>from pure local potentials (S, VWN) in LDA,
-- 
Galina Orlova
Vis. Res. Professor
gorlova@qchem2.chembio.uoguelph.ca
Department of Chemistry and Biochemistry
University of Guelph
Guelph, ON, N1G 2W1, Canada

ph. (519) 824 4120 ext 3061
Fax (519) 766-1499
------------------------------------------------------------------
	I have always heard that local functionals are ones that use the
electron density only  and nonlocal functionals are those that use a
gradient of electron density.  It is not necessary to take into account
the density at other points because the gradient gives an extrapolation to
nearby points (to the extent that the density is approximately linear in a
localized region).

                                Dave Young
                                youngd2@mail.auburn.edu
------------------------------------------------------------------



From chemistry-request@www.ccl.net  Mon Nov 23 11:39:18 1998
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Date: Mon, 23 Nov 1998 10:33:52 -0600 (CST)
From: Alan Aspuru Guzik <aspuru@eros.pquim.unam.mx>
To: Pisanty Baruch Alejandro-FQ <apisan@servidor.unam.mx>
cc: computo_en_docencia@servidor.unam.mx, ajduven@semovm.semo.edu,
        chemistry@www.ccl.net
Subject: CCL:Scientific Computing Service Course(s) -- appropriate content
 ? 
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On Thu, 19 Nov 1998, Pisanty Baruch Alejandro-FQ wrote:

|software applications to solve problems arising in their laboratories.  While
|some programming experience may be necessary to solve small problems
|or apply patches to programs where source code is available, this will
|probably
|be a small part of the tasks that they will have to do with computers. 

It dependes on whether they will use commercial operating systems such as
Windows NT or if they are using free alternatives such as FreeBSD or
Linux. Learning the basics of WHAT a programming language is makes them
free to make a contribution to the global free software depot. (See
http://SAL.Kachinatech.com for all the Scientific Applications / demo
programs written under free licenses).

|
|It would seem to me that they will spend more of their time installing,
|maintaining,
|and configuring operating systems and self-contained application packages.

It depends if those application packages are 4000 USD or 5000 USD. We in
the developing countries cannot afford buying that stuff from outside. I
think that in the long term, developing our own programs with our own
resources will be more formative, and indeed cheapear and fruitful.

|They will be interfacing computers to experimental equipment and installing
|software that will run the instrument, collect the data, and reduce it.
|They will be using software tools like Excel, SPSS, SAS, Origin, etc. to
|analyze

I agree with you in this aspect. Carlos Amador and I are experimenting in
using Computer Science as an aid in our Kinematics and Dynamics course
given here at UNAM. In the FIRST WEEK of the FIRST SEMESTER of class, we
taught them how to numerically integrate and derivate using a spreadsheet.
That gave them the insight of what VELOCITY and ACCELERATION are as
derivatives of the position of a moving object.

|data.  Programming will probably be done using MathCAD, MATLAB or
|Mathematica rather
|than C or FORTRAN because of the built-in graphical interfaces for the display
|of computed results.  

We chose to use an intermediate thing. There are programming languages
that are not as intricate as C or C++ (the first, with
difficult-to-teach-program and debug pointers, the second with the first
inconvenience and a badly designed and difficult object oriented stuff),
or Fortran.

We thought first on using Java, but afterwards found that Python
(http://www.python.org) is a VERY GOOD alternative, having numerical,
computational chemistry, graphics visualization (we are specifically using
VTK, http://www.kitware.com/vtk/), scientific (Vector, Tensor, etc) and is
a language that we taught them in ONE saturday and some support sessions
afterwards.

|The problem space that those who teach service course(s) in computing
|will have to be wider than the usual numerical analysis problems posed
|for engineering students, physics and chemistry majors.  There needs to
|be attention to combinatorics, probability, and statistics.  This is an

I agree with you, some insight using simple Monte Carlo programs like
calculating Pi by Monte Carlo, which as you see is fairly straightforward
in Python:

---------
>from math import *
from string import *
>from whrandom import *


archivo=open('circulo.dat','r')
linea = archivo.readline()
linea = archivo.readline()

r = atof(linea)
print('QMCirculo 98') 
print('Radio a usar: ' + str(r))

linea = archivo.readline()
linea = archivo.readline()

n = atoi(linea)
print('Numero de iteraciones: ' + str(n))

linea = archivo.readline()
linea = archivo.readline()

delta = atof(linea)
print('El intervalo de confianza porcentual es: ' + str(100.0* (1 - delta)) + "%")

# como inicializo las listas?
punto = [0,0]

n_circulo = 0
n_afuera = 0

a_circulo = 0

for i in range(n):
    punto[0] = random()
    punto[1] = random()

    if (sqrt(pow(punto[0],2)+pow(punto[1],2)) < r) :

	n_circulo = n_circulo + 1
    # n_afuera = n - n_circulo

# summary statistics
a_circulo = (1.0 * n_circulo) / n
print 'El area de la seccion es: ' + str(a_circulo)
pi = (4.0 * a_circulo) 
print 'Pi es: ' + str(pi)    

#estimando la varianza
varianza = (1.0 *n_circulo / n)*(1.0 - (1.0*n_circulo /n))/(n -1.0)
print "La varianza es " + str(varianza)

----
with a data file like this one:
------

Radio del circulo
1.0
Numero de vueltas
10000
El delta
0.001
----
(The delta parameter was not used, I planned to use it for confidence
interval evaluation, but I did not finish that part of the code)

Anyways, circulo.py was coded in 20 minutes... I think this kind of things
and cellular automata games can be very good for simulating economics /
population biology, etc...


|important aspect in the course offered here since the majority of the
|students are from cell and molecular biology, environmental science, and
|geology.  [The chemistry and physics students here take a pretty
|traditional course in FORTRAN.  Whether this is the best choice for all,
|I have my doubts.] The course in question is a freshman level course.  
|Students are concurrently struggling with calculus at best.

I'd have a second course in which Mathematica, Maple, Python and C are
used as languages. I support the idea of not marrying to just one option.


|I would welcome comments, critique, and suggestions on my comments from
|list members.  This list has subscribers from a number of disciplines
|whose insights I would appreciate.  I will summarize for the list.

Well, this was only 0.02 c. I wait your reply,

Alan Aspuru Guzik
Student and TA,
Theoretical Chemistry and Physics Department,
Chemistry School, 
Universidad Nacional Autonoma de Mexico



From chemistry-request@www.ccl.net  Mon Nov 23 12:20:36 1998
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Date: Mon, 23 Nov 1998 12:20:32 -0500 (EST)
From: Zorka Smedarchina <zorka@ned1.sims.nrc.ca>
To: CHEMISTRY@www.ccl.net
Subject: CCL: New software for tunneling dynamics.
Message-ID: <Pine.SGI.3.91.981123121703.19984A-100000@ned1.sims.nrc.ca>




Dear colleagues,

We would like to draw your
attention to a recent software package developed by us.

It is called DOIT (Dynamics Of Instanton Tunneling) and performs direct-dynamics
calculations of rate constants and tunneling splittings which are due to 
tunneling of hydrogen/deuterium/tritium in
polyatomic systems (molecules, clusters, complexes, etc.). The package
can be useful to many researchers, especially those working with
relatively large systems (potentially biologically-active).
 
The code is based on a novel approach that utilizes instanton theory, 
uses standard output of quantum chemical calculations, and in all tests carried
out so far proved to be more accurate and  much faster than the 
code POLYRATE of Truhlar et al. when dealing with tunneling.
It is on the net, at http://www.nrc.ca/sims 
under "New software...", available for (controlled) free distribution.

For contacts please write to Zorka Smedarchina at Zorka.Smedarchina@nrc.ca 

Sincerely,
Zorka Smedarchina, Antonio Fernandez-Ramos, Marek Zgierski and Willem Siebrand.
Steacie Institute for Molecular Sciences,
National Research Council of Canada,
100 Sussex Dr. 
Ottawa, Ont., K1A 0R6
Canada.



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From: "Rzepa, Henry" <h.rzepa@ic.ac.uk>
Subject: WATOC99: Online registration for Posters and  Oral presentations


If you are considering visiting  the WATOC99 congress and wish to submit either poster,
 or a request to make an oral presentation, please note that you can now 
submit this via the URL

http://www.chemsoc.org/watoc99/

or directly via

http://www.chemsoc.org/watoc99/home.htm


(Closing date January 15, 1999). 

Dr Henry Rzepa,  Dept. Chemistry,  Imperial College,  LONDON SW7 2AY;
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From chemistry-request@www.ccl.net  Tue Nov 24 14:37:32 1998
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From: "Mark Thompson" <mthompson@seanet.com>
To: <chemistry@www.ccl.net>
Subject: OpenGL graphics accelerators & PII Xeon 450
Date: Tue, 24 Nov 1998 11:37:23 -0800
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  =20
I'm looking at the 3D Labs  3D GMX2000 graphics card for =
chemistry-related
graphics applications written with openGL.  Does anyone have any =
experience
with this particular card, or similar high-end openGL accelerator cards?
I'd like to hear from you. =20

Also, I'd like to find more information on performance comparisons =
between the
Intel PII 450 MHz and the PII Xeon 450 MHz (both with 512K cache) with =
the usual suite
of computational chemistry programs (running either Linux or Win32)?  =
I've seen
the DGAUSS performanance numbers on the Intel website, but would like to =
hear other
experiences as well.

Thanks in advance.  I'll summarize for the list.

Mark Thompson


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<!DOCTYPE HTML PUBLIC "-//W3C//DTD W3 HTML//EN">
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</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT color=3D#000000 size=3D2>&nbsp;&nbsp;&nbsp;</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2>I'm looking at the 3D Labs&nbsp; 3D =
GMX2000=20
graphics card for chemistry-related</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT><FONT size=3D2>graphics =
applications=20
written with openGL.&nbsp; Does anyone have any experience</FONT></DIV>
<DIV><FONT size=3D2>with this particular card, or similar high-end =
openGL=20
accelerator cards?</FONT></DIV>
<DIV><FONT size=3D2>I'd like to hear from you.&nbsp; </FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Also, I'd like to find more information on =
performance=20
comparisons between the</FONT></DIV>
<DIV><FONT size=3D2>Intel PII 450 MHz and the PII Xeon 450 MHz (both =
with 512K=20
cache) with the usual suite</FONT></DIV>
<DIV><FONT size=3D2>of computational chemistry programs (running either =
Linux or=20
Win32)?&nbsp; I've seen</FONT></DIV>
<DIV><FONT size=3D2>the DGAUSS performanance numbers on the Intel =
website, but=20
would like to hear other</FONT></DIV>
<DIV><FONT size=3D2>experiences as well.</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Thanks in advance.&nbsp; I'll summarize for the=20
list.</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Mark Thompson</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV></BODY></HTML>

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From chemistry-request@www.ccl.net  Tue Nov 24 14:56:59 1998
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Date: Tue, 24 Nov 1998 15:00:16 -0500
To: Computational Chemistry List <chemistry@www.ccl.net>
From: Deepak Singh <desingh@syr.edu>
Subject: SGI Octane


Hi folks,

	I am thinking of upgrading my current workstation from a SGI
Indigo2 to a dual processor octane.  I  have never used one, so I would
appreciate of someone told me what it was like and whether it is as good as
it sounds.  MY primary programs are MOPAC, gamess, QUANTA/CHARMm and
INSIGHTII (the latter two require SGI's).

Thanks

Deepak.

**********************************************************************
Deepak Singh				Email: desingh@syr.edu
Graduate Fellow				URL: http://web.syr.edu/~desingh
Department of Chemistry and Biochemistry,	Tel: (315) 443 1739 -- work
Syracuse University			       (315) 472 9659 -- home
1-014 Scitech Syracuse NY 13244		Fax: (315) 443 4070

"Violence is the last resort of the incompetent". -- Salvor Hardin
**********************************************************************



From chemistry-request@www.ccl.net  Tue Nov 24 14:58:17 1998
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Date: Tue, 24 Nov 1998 15:01:33 -0500
To: Computational Chemistry List <chemistry@www.ccl.net>
From: Deepak Singh <desingh@syr.edu>
Subject: MOPAC97


Hi again,

	Can anybody tell me where I can get the source code for MOPAC97 or
MOPAC95?   QCPE only goes upto MOPAC93.


Regards

Deepak.

**********************************************************************
Deepak Singh				Email: desingh@syr.edu
Graduate Fellow				URL: http://web.syr.edu/~desingh
Department of Chemistry and Biochemistry,	Tel: (315) 443 1739 -- work
Syracuse University			       (315) 472 9659 -- home
1-014 Scitech Syracuse NY 13244		Fax: (315) 443 4070

"Violence is the last resort of the incompetent". -- Salvor Hardin
**********************************************************************



From chemistry-request@www.ccl.net  Tue Nov 24 16:28:32 1998
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From: <liang@wavefun.com>
Date: Tue, 24 Nov 1998 13:27:56 -0800
Message-Id: <9811241327.ZM2336@wavefun.com
 >
In-Reply-To: Steven Creve <Steven.Creve@chem.kuleuven.ac.be>
        "CCL:CCL:DFT:local-nl, SUMMARY" (Nov 23,  4:57pm)
References: <Pine.A41.4.05.9811231656230.50342-100000@hartree.quantchem.kuleuven.ac.be>
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To: Steven Creve <Steven.Creve@chem.kuleuven.ac.be>
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>
> concerning the discussion "local <-> non-local in DFT", my first
> impression has been that there seems to be a lot of confusion on
> definitions in this area.

-------------------------------
>    Local or nonlocal?
>
>    Good question.  "Gradient-corrected" functionals (Becke88, Perdew86,
> Perdew-Wang91, etc...) are often called "non-local" but in my
> opinion that's an unfortunate misuse of the term.  I suppose they
> came to be called "non-local" because they are NOT the usual local
> density approximation (LDA).  But "NOT the USUAL LDA" is not
> synonymous with "nonlocal".

-------------------------------
>       I have always heard that local functionals are ones that use the
> electron density only  and nonlocal functionals are those that use a
> gradient of electron density.  It is not necessary to take into account
> the density at other points because the gradient gives an extrapolation to
> nearby points (to the extent that the density is approximately linear in a
> localized region).
>

I guess there is a misunderstanding (of the terms local vs. nonlocal) in other
terms: physics vs. math.

The Fock exchange potential is a nonlocal operator, with a nonlocality
mathematically extending to infinity and physically to the point where the
magnitude of an atomic wave function vanishes.

Going with every electron there is a hole created by the Pauli exchange rules
and the repulsions missing in the Hartree potential. The shape and range of
this hole is determined not only by the carrying electron itself but all the
surrounding electrons. This is where the nonlocality comes from. The electron
system is highly responsive and the perturbations along the trajectory can be
quickly damped (screened) out. The effective range of the xc hole is limited
(may be described by a characteristic length). This may be regarded as a "short
sightedness" of electron systems. And in fact, it has been shown that
much of the semiquantitative success of the LDA can be explained by a spherical
average made to the skewed and singularity plagued xc hole (a luck?).

Assuming a "slowly varying" density for an atomic system is too crude. There
have been many efforts to go beyond this restrictive framework. The goal is to
take into account the nonlocality, up to a finite distance in accordance with
the short sightedness of electrons in a pool. This can be done with the help of
a generalized Taylor expansion for the density around the very point r. The r'
dependence is absorbed in the derivative terms of r.  The term "generalized"
refers to a treatment of the singular points (cusps) within the xc hole (which
is a function of r and r').  The gradient corrections as they stand involve
local operators depending on r only. But physically, the properties of the xc
hole in the vicinity of the spatial point r have been described correctly, as
approved by the success of GGAs. Also, without an explicit r' dependence, much
computational cost can be saved.

In my perhaps misrepresented vocabulary, the word "nonlocal" is a physical
term, with a meaning which can be read as "it takes some nonlocality into
account and goes beyond the local density approximations".

There may be misunderstaninding of the physics in the above descriptions. Any
oppositions (fires), please, direct to my e-mail address liang@wavefun.com

Thanks,
Liang Lou

From chemistry-request@www.ccl.net  Tue Nov 24 20:36:21 1998
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From: shuichi@icrs.tohoku.ac.jp (=?ISO-2022-JP?B?GyRCQmdfNxsoQg==?=
 =?ISO-2022-JP?B?IBskQj0oMGwbKEI=?=)
Date: Wed, 25 Nov 1998 10:33:06 +0900
To: chemistry@www.ccl.net
Subject: MM3 parameter for methyl benzylamine
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Dear CCL member;

  I'm interested in the stereochemistry of methyl benzylamine derivatives.
I'm going to do MM3 calculation to find the conformers of this molecule. 
But MM3 does not provide some torsion parameters for it. And I could not 
find the subjets of methyul benzylamine parameters in this CCL archives.

  Then I would like to ask you about the information of following torsion 
parameters;
2-1-9-3; C(sp2 alkene)-C(sp3)-N(sp2)-C(sp2 carbonyl)
2-2-1-9; C(sp2 alkene)- C(sp2 alkene)-C(sp3)-N(sp2)
2-1-9-28; C(sp2 alkene)-C(sp3)-N(sp2)-H(H-N-C=O amide)

 Any information and references are cordially invited.

_________________________________________________
OSAWA, Shuichi
  Institute for Chemical Reaction Science
  Tohoku University
  Katahira 2 chome, Aoba-ku Sendai 980-8577 JAPAN
  E-mail: shuichi@icrs.tohoku.ac.jp

From chemistry-request@www.ccl.net  Tue Nov 24 23:01:51 1998
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Date: Tue, 24 Nov 1998 20:02:24 -0800 (PST)
From: Jeff Liu <jeffyliu@yahoo.com>
Subject: gaussian performance on various computers
To: CHEMISTRY@www.ccl.net
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii


Hi, all,
I'm going to purchase a work station (with unix or linus system) for
the calculation of polycyclic aromatic compounds using Gaussian. Can
anyone provide information on how gaussian perform on different work
stations and the requirement for these work stations?
Thanks a lot.
Jeff



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