From chemistry-request@server.ccl.net Thu Feb 15 19:24:50 2001
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From: "hu eric" <erichu_ccl@hotmail.com>
To: chemistry@ccl.net
Subject: WWW ccl.net
Date: Thu, 15 Feb 2001 16:22:52 -0800
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Hi, CCLers

Is there a WWW server that we can use for the ccl mails like the one Amber 
has? Thanks!

Eric
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From chemistry-request@server.ccl.net Thu Feb 15 23:59:28 2001
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Date: Thu, 15 Feb 2001 20:59:29 -0800 (PST)
From: water Miller <nano_fs@yahoo.com>
Subject: Analytical function for H-bond
To: chemistry@ccl.net
Cc: nano_fs@yahoo.com
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Dear listers,

I am wondering if anyone has the experience with
deriving analytical functions for H-bond, classical or
quantum, small or big system?

As far as I know, the most used function may be the
Morse function, and sometimes with angle dependence.

If it's the case, how to get the Morse parameters? 
Simply do ab initio calculations for some points, fit
it, run some kind of MD/MC calculations to compare
with experimental quantities, or is there any better
way?

Any suggestion or reference will be highly
appreciated!

Water 

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From chemistry-request@server.ccl.net Fri Feb 16 00:52:50 2001
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Hello,

I downloaded the q.amber script to assign partial charges but it gives me "/usr/bin/awk: arg list too long" message. I don't actually know how i can modify the file to run cos i read from the Autodock FAQ that you should modify the script.

Hope somebody can help me with this. Thank you.


Rowyn
ISB
University of Malaya
T: +6(03)-7967 6745

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From chemistry-request@server.ccl.net Fri Feb 16 00:53:05 2001
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Hello,

I downloaded the q.amber script to assign partial charges but it gives me "/usr/bin/awk: arg list too long" message. I don't actually know how i can modify the file to run cos i read from the Autodock FAQ that you should modify the script.

Hope somebody can help me with this. Thank you.


Rowyn
ISB
University of Malaya
T: +6(03)-7967 6745

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From chemistry-request@server.ccl.net Fri Feb 16 05:37:10 2001
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From: "Yongxing Liu" <yliu@mail.wesleyan.edu>
To: "CCL" <chemistry@ccl.net>
Subject: Soft Sphere Simulation Code 
Date: Fri, 16 Feb 2001 05:42:54 -0500
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Dear sir,

Has anyone used the soft sphere code (Appendix L) from the book <<Molecular
Dynamics Simulation: Elementary Methods>> by J. M. HAILE? Could anyone
please point to me the address to download the lastest code?

Thank you very much for your help!


Sincerely

Yongxing Liu

From chemistry-request@server.ccl.net Fri Feb 16 07:22:26 2001
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Jesus Orduna recently asked about running G98 on AMD based machines.  I
have a related question: What are some experiences on replacing PIII/
motherboard with AMD/motherboard under under NT on existing systems?
What software had to be reloaded?  Were there major complications?

I'll post a summary.

John McKelvey


From chemistry-request@server.ccl.net Fri Feb 16 04:00:15 2001
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From: Stanislaw Kucharski <stanley@stan2.ch.pwr.wroc.pl>
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Subject: refractive index
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Hi Netters,

I am looking for a program to evaluate the refractive index of organic
compounds. Any information will be welcome.

With regards,

-- 
Dr. Stanislaw Kucharski
Wroclaw Technical University, Wroclaw, Poland
Tel. +48 71 3202862; Fax: +48 71 3203678
E-Mail: stanley@stan2.ch.pwr.wroc.pl;  kucharski@itots.ch.pwr.wroc.pl 



From chemistry-request@server.ccl.net Fri Feb 16 07:57:59 2001
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Date: Fri, 16 Feb 2001 14:55:40 +0200 (EET)
From: Arvydas Tamulis <tamulis@itpa.lt>
To: "Cust. Service Doug" <gaussian.com!csd@gaussian.com>
cc: <help@gaussian.com>, <CHEMISTRY@ccl.net>,
   Jelena Tamuliene <gicevic@itpa.lt>
Subject: Re: CCL:Paramagnetically shifted 1H NMR spectra
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Dear Douglas Fox,

I am not expert in relativistic effects but I shall try to explane these
contributions refering on systematic description given in book
R. McWeeny, B.T. Sutcliffe "Methods of Molecular Quantum Mechanics" Academic
Press, London, 1969 while in Response Theory relativistic effects are
calculating in new modern way.
I expect that more will say authors of DALTON and DIRAC packages.

                                          fi1
The exact four component wavefunction FI={fi2}
                                          fi3
                                          fi4
naturaly involves all relativistic effects but the for the obtaining
NMR, etc. needs to convert this function to MO that takes many
computing resources. That was done in DIRAC (see references
J. Chem. Phys., 113:3996, 2000; J. Chem. Phys., 100:2118, 1994).

In DALTON is using non-relativistic wavefunctions, and NMR shieldings for
open-shell species are obtained using Response Theory with perturbation
operators corresponding to Fermi Contact and others: electron nucleous-
spin interactions terms and electron spin - magnetic field interaction (see J.
Chem. Phys. 100:8179, 1994).
Electron spin-spin interaction is not included in Dalton.

With best wishes, Arvydas Tamulis
*************************************************

On Thu, 15 Feb 2001, Cust. Service Doug wrote:
>
>
>    Dr. Tamulis,
>
>    This is more the class of effect I was thinking about.  It is
> relativistic in that it involves adding spin terms to the hamiltonian
> after the fact but I can believe it is a big enough effect to see
> this kind of change.  It is not relativistic in that no relativistic
> terms are added explicitly in the hamiltonian.
>
>   I have not read this paper but will check on it when I can get to a
> library.  I would appreciate other references your colleague might have.
> We do have an exercise in Exploring Chemistry, (the blue book), which
> shows the hyperfine interaction.
>
> >
> > Dear Douglas Fox,
> >
> > Excuse me that in my previous letter I have wrote your name mistakenly.
> >
> > My knowledge about relativistic effects are coming from Lithuanian atom
> > theory school initiated by Prof. A. Jucys and now in Lithuania it is
> > difficult to get properly literature sources about relativistic effects
> > in molecules but I will ask to do this my colleague Dr. J. Tamuliene who
> > now is in UC-Davis for research visit.
> >
> > Enclosed please find interesting responce from Prof. David A. Case who
> > advises how to calculate in G98 the hyperfine interaction between the
> > proton and the electron spins using ESR Isotropic Fermi contact couplings.
> >
> > Please say your opinion concerning this possible partial evaluation of
> > relativistic effects in G98 calculating NMR.
> >
> > With best regards, Arvydas Tamulis
> > &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
> > You need to compute the hyperfine interaction between the proton and
> > the electron spins, then use this value to compute the paramagnetic shift
> > you would see in NMR.  The quantum program will typically think you are
> > doing an
> > "ESR" calculation, but the interaction is observable in both NMR and ESR.
> > In Gaussian, look for output labelled "Isotropic Fermi contact couplings"
> > in your output.
> > YOu might check out Bertini, Turano & Vila, Chem. Rev. 93:2833 (1993).
> >
> > David A. Case                     |  e-mail:      case@scripps.edu
> > Dept. of Molecular Biology, TPC15 |  fax:          +1-858-784-8896
> > The Scripps Research Institute    |  phone:        +1-858-784-9768
> > 10550 N. Torrey Pines Rd.         |  home page:
> > La Jolla CA 92037  USA            |    http://www.scripps.edu/case
> > &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
> >
> > On Tue, 13 Feb 2001, Cust. Service Doug wrote:
> >
> > >
> > >
> > >
> > >   Dr. Tamulis,
> > >
> > >   Thanks for the structure.  Looking at this structure these two
> > > protons look chemically very similar so if I understand your post
> > > the spin coupling between these protons and the Cu or other centers
> > > or is it really spin orbit corrections on the Cu which cause
> > > such a change?
> > >
> > >   G98 certainly does not have these but it is not clear which effect
> > > you mean nor how relativistic effects would cause it.  Spin-spin
> > > coupling between the nuclei perhaps but I don't see the electron
> > > spin-spin or spin-orbit contributions.  Is there a source article which
> > > describes these effects?
> > >
> > >
> > > >
> > > > Dear Dauoglas Fox and other Netters who responded me during last days
> > > > concerning calculations of paramagnetically shifted 1H NMR spectra
> > > > possessing up to 135 ppm values.
> > > >
> > > > During last days I clearified that for large (100 ppm) paramagnetic
> > > > 1H shifts are responsible not good basis sets (only few ppm) and not
> > > > electron correlations (only tens ppm) but including relativistic effects:
> > > > 'electron spin-orbit', 'electron spin-spin', and 'electron spin - proton
> > > > spin', etc. couplings. I do not know what relativism it is included in DALTON
> > > > and DIRAC packages (maybe here can respond experts from these teams) but
> > > > for my opinion if it is included 'electron spin - proton spin' coupling
> > > > that should give these 100 ppm paramagnetic shifts in 1H NMR spectra.
> > > >
> > > > Maybe in other programs people are doing such a inclusions of
> > > > 'electron spin - proton spin couplings'?
> > > > I would be appreciate if somebody will allow me to perform trial calculations
> > > > of biliverdin CuOEB molecule 1H NMR spectrum using DALTON, DIRAC or other
> > > > program with implemented as much as possible relativistic effects.
> > > >
> > > > Thanking your in advance for further discussions and advises.
> > > >
> > > > Yours sincerely, Arvydas Tamulis
> > > > Enclosed please find X-Ray geometry of CuOEB molecule in Angstroms:
> > > >  Cu1                   0.        0.        0.
> > > >  O2                    0.2239   -2.96653  -1.55039
> > > >  N3                    1.38133  -1.33544  -0.35323
> > > >  N4                    1.38119   1.34207   0.36885
> > > >  C5                    1.22628  -2.58553  -0.97483
> > > >  C6                    2.51385  -3.33756  -0.86868
> > > >  C7                    3.37827  -2.55016  -0.22896
> > > >  C8                    2.67395  -1.28282   0.09472
> > > >  C9                    3.26426  -0.17877   0.65202
> > > >  C10                   2.68854   1.08761   0.70813
> > > >  C11                   3.38244   2.34651   0.96318
> > > >  C12                   2.50269   3.34699   0.72477
> > > >  C13                   1.25013   2.71593   0.35196
> > > >  C14                   0.0751    3.37078   0.
> > > >  C15                   2.68652  -4.68205  -1.49633
> > > >  C16                   3.05674  -4.56912  -2.96369
> > > >  C17                   4.84657  -2.77602   0.04178
> > > >  C18                   5.72923  -2.08939  -1.00856
> > > >  C19                   4.85471   2.43112   1.27447
> > > >  C20                   5.69449   2.34802   0.0041
> > > >  C21                   2.72592   4.83225   0.72854
> > > >  C22                   2.87181   5.41601  -0.67222
> > > >  H23                   4.13917  -0.29105   1.00274
> > > >  H24                   0.09707   4.35684   0.
> > > >  H25                   1.8737   -5.18468  -1.40342
> > > >  H26                   3.37402  -5.20107  -1.07412
> > > >  H27                   3.13618  -5.45897  -3.37019
> > > >  H28                   2.36288  -4.06322  -3.3895
> > > >  H29                   3.87718  -4.07992  -3.05734
> > > >  H30                   5.00432  -3.74715   0.00503
> > > >  H31                   5.07799  -2.46117   0.91361
> > > >  H32                   6.64112  -2.28581  -0.82449
> > > >  H33                   5.51113  -2.4159   -1.88189
> > > >  H34                   5.58593  -1.11668  -0.96462
> > > >  H35                   5.10459   1.68705   1.84642
> > > >  H36                   5.03303   3.27735   1.73233
> > > >  H37                   6.61722   2.41078   0.21711
> > > >  H38                   5.52484   1.4978   -0.44582
> > > >  H39                   5.45344   3.10135  -0.56135
> > > >  H40                   3.50226   5.01567   1.24612
> > > >  H41                   1.98737   5.25961   1.1645
> > > >  H42                   3.01354   6.38803  -0.58859
> > > >  H43                   3.62122   5.00544  -1.10604
> > > >  H44                   2.09038   5.25163  -1.1876
> > > >  N45                  -1.43943  -1.27259   0.35323
> > > >  N46                  -1.32005   1.40226  -0.36885
> > > >  C47                  -1.12793   2.76892  -0.35196
> > > >  C48                  -1.34022  -2.52835   0.97483
> > > >  C49                  -2.72843  -1.16245  -0.09472
> > > >  C50                  -2.63743   1.20627  -0.70813
> > > >  C51                  -2.35113   3.45514  -0.72477
> > > >  O52                  -0.3558   -2.95361   1.55039
> > > >  C54                  -2.66     -3.22228   0.86868
> > > >  C55                  -3.4885   -2.39716   0.22896
> > > >  C56                  -3.26899  -0.0332   -0.65201
> > > >  C57                  -3.27458   2.49484  -0.96318
> > > >  C58                  -2.50799   4.94886  -0.72854
> > > >  C59                  -2.89238  -4.55775   1.49633
> > > >  C60                  -4.9654   -2.5574   -0.04178
> > > >  H61                  -4.14802  -0.1064   -1.00274
> > > >  C62                  -4.74161   2.64493  -1.27447
> > > >  C63                  -2.62775   5.53854   0.67222
> > > >  H64                  -3.2754    5.16668  -1.24612
> > > >  H65                  -1.75115   5.34291  -1.1645
> > > >  C66                  -3.2572   -4.42844   2.96368
> > > >  H67                  -2.10276  -5.09608   1.40342
> > > >  H68                  -3.60232  -5.04563   1.07412
> > > >  C69                  -5.8166   -1.83214   1.00856
> > > >  H70                  -5.16625  -3.52054  -0.00503
> > > >  H71                  -5.18257  -2.23255  -0.91362
> > > >  C72                  -5.58426   2.59932  -0.0041
> > > >  H73                  -5.02439   1.91273  -1.84642
> > > >  H74                  -4.88207   3.49828  -1.73233
> > > >  H75                  -2.72604   6.51592   0.58859
> > > >  H76                  -3.3947    5.16177   1.10604
> > > >  H77                  -1.85441   5.33953   1.1876
> > > >  H78                  -3.37619  -5.31387   3.37019
> > > >  H79                  -2.5415   -3.95395   3.3895
> > > >  H80                  -4.05504  -3.90319   3.05734
> > > >  H81                  -6.73633  -1.98774   0.82449
> > > >  H82                  -5.61326  -2.16804   1.88189
> > > >  H83                  -5.63012  -0.86678   0.96462
> > > >  H84                  -6.50328   2.70312  -0.21711
> > > >  H85                  -5.45265   1.74239   0.44582
> > > >  H86                  -5.3099    3.34117   0.56135
> > > > ***********************************************************
> > > > >
> > > >
> > > > On Mon, 12 Feb 2001, Cust. Service Doug wrote:
> > > >
> > > > >
> > > > >    Dr. Tamulis,
> > > > >
> > > > >    I don't have ready access to this journal at my office.  Can
> > > > > you send the structure you used?  Have you verified that the
> > > > > environment around these protons is reasonably described by this
> > > > > input structure?
> > > > >
> > > > >    Generally the shifts in proton NMR calculations are good only to
> > > > > about 10% which makes them less appropriate for structural studies
> > > > > but the wide range you report from the experiment should be reproduced
> > > > > at least qualitatively.
> > > > >
> > > > > >
> > > > > > Dear Netters,
> > > > > >
> > > > > > We did not succeeded to calculate paramagnetically shifted 1H NMR spectrum
> > > > > > of biliverdin molecule CuOEB using Gaussian 98 (see experimental data in
> > > > > > J. Am. Chem.Soc., vol. 115, p. 12206 (1993)).
> > > > > >
> > > > > > We have optimized geometry of TeMeSilane molecule and obtained from NMR
> > > > > > calculation the Isotropic Shielding values for H atoms (in ppm):
> > > > > >
> > > > > >    H    Isotropic =    31.9027   Anisotropy =     9.6413
> > > > > >    XX=    29.4642   YX=     0.2951   ZX=    -0.7329
> > > > > >    XY=     0.4642   YY=    32.9871   ZY=    -5.1492
> > > > > >    XZ=    -0.8947   YZ=    -5.1015   ZZ=    33.2567
> > > > > >    Eigenvalues:    27.9348    29.4430    38.3302
> > > > > >
> > > > > > We have used Density Functional Theory B3PW91/6-311G**
> > > > > >
> > > > > > We have taken geometry of CuOEB from X-Ray experiment.
> > > > > > Our B3PW91\6-311G** calculated CuOEB NMR  Hm shielding values (ppm):
> > > > > >  23  H    Isotropic =    28.4781   Anisotropy =    10.0683
> > > > > >    XX=    24.0637   YX=    -1.2135   ZX=     -.8179
> > > > > >    XY=     -.0906   YY=    35.1141   ZY=    -2.2717
> > > > > >    XZ=     9.0739   YZ=     1.6948   ZZ=    26.2566
> > > > > >    Eigenvalues:    20.8808    29.3633    35.1904
> > > > > >
> > > > > >  60  H    Isotropic =    27.5216   Anisotropy =    12.3793
> > > > > >    XX=    22.4061   YX=     2.7621   ZX=    -1.0495
> > > > > >    XY=     -.3733   YY=    35.4454   ZY=     2.7019
> > > > > >    XZ=    10.0293   YZ=    -6.4196   ZZ=    24.7134
> > > > > >    Eigenvalues:    18.6646    28.1258    35.7745
> > > > > >
> > > > > >  and shielding Hm' value:
> > > > > > 24  H    Isotropic =    25.8868   Anisotropy =    16.3237
> > > > > >    XX=    36.5750   YX=     -.6396   ZX=     4.7813
> > > > > >    XY=     -.0379   YY=    23.9614   ZY=      .1694
> > > > > >    XZ=     -.9100   YZ=     2.3766   ZZ=    17.1241
> > > > > >    Eigenvalues:    16.7005    24.1907    36.7693
> > > > > >
> > > > > > It means that our calculated chemical shifts for Hm and Hm' are equal to
> > > > > > few ppm while CuOEB experimental NMR chemical shift values for Hm and Hm' in
> > > > > > J. Am. Chem.Soc., vol 115, p. 12206 are equal approximately to 135 ppm and
> > > > > > -100 ppm.
> > > > > >
> > > > > > Why so badly we have calculated paramagnetically shifted 1H NMR spectrum
> > > > > > for CuOEB molecule?
> > > > > > Maybe GAUSSIAN is not able to calculate paramagnetically shifted 1H NMR
> > > > > > spectra?
> > > > > > Which program is suitable for calculations of paramagnetically shifted 1H
> > > > > > NMR spectra?
> > > > > >
> > > > > > Thanking your in advance.
> > > > > > With best regards, Arvydas Tamulis & Jelena Tamuliene
> > > > > > *******************************************************
> > > > > >            Arvydas Tamulis
> > > > > >
> > > > > > Doctor of Natural Sciences, senior research fellow
> > > > > >
> > > > > > Institute of Theoretical Physics and Astronomy,
> > > > > > Theoretical Molecular Electronics Research Group,
> > > > > > A. Gostauto 12, Vilnius 2600, Lithuania
> > > > > > e-mail: TAMULIS@ITPA.lt; WEBsite: http://www.itpa.lt/~tamulis/
> > > > > > fax: +(370-2)-225361  or  +(370-2)-224694
> > > > > > Phone: +(370-2)-620861
> > > > > > Home address: Didlaukio 27-40, Vilnius 2057, Lithuania
> > > > > > Phone: +(370-2)-778743
> > > > > >
> > > > > >
> > > > > >
> > > > > >
> > > > > >
> > > > > >
> > > > > > -= 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
> > > > > >
> > > > > >
> > > > > >
> > > > > >
> > > > > >
> > > > >
> > > > >
> > > > > --
> > > > >
> > > > >   Douglas J. Fox
> > > > >   Technical Support
> > > > >   Gaussian, Inc.
> > > > >   help@gaussian.com
> > > > >
> > > > >
> > > >
> > >
> > >
> > > --
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> > >   Technical Support
> > >   Gaussian, Inc.
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Dear CCL Colleague,

the Organizing Committee is pleased to inform you about the second
circular of the "First Magna Gręcia Medicinal Chemistry Workshop on New
Perspectives in Drug Research" 10-13 June 2001, Copanello (CZ) Italy.

The following renowned speakers have already confirmed their
partecipation to the Workshop: Prof. S. Hanessian, Prof. P.Goodford,
Prof. G. Richards, Prof. M. Karelson, Prof. R. S. Coleman and Prof.
J.Briggs. 

The main topics of the Workshop are organized in specific sessions names
as follows:
New Methodologies in Drug Design
Molecular Modeling and Drug Research
Drug Development of NOS inhibitors
Receptor-targeted Drug Design
Anticancer Agents
Antiviral Agents

A Poster Session and two Free communications Sessions will be organized
during the meeting as well as social activities. For further information
please visit our website http://www.unicz.it/ricerca/convegni/ or e-mail
to mailto:workshop@unicz.it

If you are interested to submit an abstract or to subscribe to the
Workshop, please remember the following important dates:

Abstract submission Thursday, February 28, 2001
Standard Registration Saturday, March 31, 2001
Accommodation Saturday March 31, 2001

Looking forward for your application. 

Best regards

The Organizing Commitee
"Insieme per la Ricerca"


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Date: Fri, 16 Feb 2001 11:39:31 -0500
From: Kevin Gross <gross.4@wright.edu>
Subject: Summary: DFT and Koopmans' theorem
To: CCL <CHEMISTRY@ccl.net>
Cc: chrirena@techunix.technion.ac.il
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Thank you for all the insightful responses regarding DFT and Koopmans'
theorem.

My question was simple:
>Does Koopmans' theorem still hold for MO energies obtained from DFT
>calculations? I'm curious because I've found that HOMO & LUMO energies
>obtained from HF calculations are much better regression descriptors
>than are the energies taken from identical B3LYP calcs. Any comments or
>references regarding this topic will be summarized.

To summarize most of the responses, Koopmans' theorem does not hold for
DFT.  Of course, DFT is not an MO method, so it doesn't make sense to
even talk about HOMOs or LUMOs (nonetheless, to avoid HOKSO/LUSKO
terminology, it is understood that in DFT, a HOMO energy refers to the
eigenvalue of the highest occupied Kohn-Sham orbital).  Apparently,
though, some interpretation of the Kohn-Sham orbital energies is
possible.  Being that B3LYP is a hybrid of HF and DFT, it seems as
though Koopmans' theorem does not apply to this specific case.

The individual responses are below.

Thanks,

Kevin Gross
Wright State University
Dayton, OH 45435

-----------------------------------------------------------------------
kevin - perhaps you should read "what do the kohn-sham orbitals and
eigenvalues mean?" in JACS, 1999, _121_, 3414-3420 by stowasser and
hoffman.

regards,

steve t
-----------------------------------------------------------------------
Kevin -

Koopmans' Theorem generally performs poorly when combined with DFT in my
experience.  The reason HF tends to work well is because HF ignores
correlation effects and Koopmans' Theorem ignores electronic relaxation
of the newly created cation.  We get 'lucky' in that the two tend to
balance out.  With DFT, the correlation is not neglected, so there is
nothing to balance out the poor approximation that Koopmans' Theorem
makes.

Dave

--
Dr. David J. Giesen
Eastman Kodak Company                           david.giesen@kodak.com
2/83/RL MC 02216                                (ph) 1-716-58(8-0480)
Rochester, NY 14650                             (fax)1-716-588-1839
-----------------------------------------------------------------------
No, they don't. The fact that the B3LYP energies are not good
descriptors in a regression analysis is interesting, and I would offer
one word of caution before you consider this a firm conclusion:

Don't simply regress on 'HOMO energies'. Instead, regress on 'MO
energies' where you choose MO's of similar shape (this cautionary
statement applies to both HF and DFT energies).

DFT frequently orders MOs differently than HF, and you might find that
HOMO shapes are not correlated with each other (in which case one does
not expect a systematic variation in HOMO energy).

-Alan

====

Alan Shusterman
Department of Chemistry
3203 SE Woodstock Blvd
Reed College
Portland, OR 97202
503-771-1112, ext. 7699
-----------------------------------------------------------------------
    First B3LYP is not truly a KS-DFT method. It mixes KS-DFT and HF;
because of that I think that neither Janak theorem nor Koopmans' theorem
apply in B3LYP, but I'm not sure, I haven't checked.

   The question of Koopmans' theorem and KS-DFT is often asked, I recall
it's been discussed many times on CCL so it may be in the archives.

   In my opinion, Koopmans' theorem is not so important anyway:  it
relates a theoretical construct (HF orbital energies) to another
theoretical construct (the energy difference between the HF ground state
and a hypothetical state in which HF orbitals do not relax relative to
GS).  There IS something similar to a Koopmans' theorem in DFT, it's
Janak's theorem.  It states that:

(dE/dn_i) = e_i          (e_i = i'th orbital energy)

[Janak, Phys. Rev. B 18 (1978) 7165]

the derivative of the total energy w.r.t. to occupation number of
orbital "i" is exactly the orbital-energy (Kohn-Sham eigenvalue) "i".
This is true not only for the (unknown) exact exchange-correlation
potential but for all commonly used approximate XC potentials.  From
this formula one can in principle get ionization potentials by
integrating e_i over dn_i, between 1 and 0 (between 0 and 1 for an
electron affinity).  An approximation to this integral is to take the
value of the integrand at the midpoint,   e_i(n_i=1/2), and multiply by
the range of integration which is just (+/-)one (add/remove one
electron), which gives Slater's transition state approximation for IPs:

IP(Slater's TS) = - e_i(n_i=1/2)

[ Slater, Adv. Quantum Chem. 6 (1972) 1 ;
  Slater, "The SCF field for Molecules and Solids: Quantum Theory
   of Molecules and Solids", vol. 4, New York (McGraw Hill, 1974) ]

   Williams et al. refined Slater's formula, they got a better
approximation to the integral  for n_i from 1 to 0, see

[ Williams et al.. J. Chem. Phys. 63 (1975) 628 ]

    In a sense Janak's theorem is better than Koopmans' theorem because
it relates a theoretical construct to a real thing (if we integrate e_i
for n_i from 1 to 0, or from 0 to 1). IF ONE HAD THE EXACT
EXCHANGE-CORRELATION POTENTIAL, one would get the EXACT lowest
ionization potential by integrating Janak's formula; Slater's formula is
an approximation to that.

    I append an answer given by Kiet Nguyen to a related
question below, it contains useful references.

Cheers,
         Rene.
 --------------------------------------------------------------------
 | Rene Fournier                  | Bureau/Office  458  CCB         |
 | Chemistry,  York University    |      (416) 736 2100 Ext. 30687  |
 | 4700 Keele Street, North York  | FAX: (416) 736-5936             |
 | Ontario, CANADA   M3J 1P3      | e-mail: renef@yorku.ca          |
 --------------------------------------------------------------------

#10  Kiet Nguyen,  Kiet.Nguyen@wpafb.af.mil

Although there is considerable controversy in the literature concerning
the meaning of Kohn-Sham orbitals,  I think they are far from
"meaningless".  This topic has been carefully analyzed and
reviewed.[1-5]   Parr and Yang stated that "... one should expect no
simple physical meaning for the Kohn-Sham orbital energies."[3]
However, using the Janak theorem which "provides a meaning for the
eigenvalues of the Kohn-Sham equation", they have connected the HOMO and
LUMO energies to the ionization potential and electron affinity,
respectively.[3]

[1]   E. J. Baerends and O. V. Gritsenko, J. Phys. Chem. A 101 (1997)
5383.
[2]   R. G. Parr and W. Yang, Density Functional Theory of Atoms and
Molecules (University Press,  Oxford, 1989).
[3]   J. P. Perdew, in: Density Functional Methods in Physics, edited by
R. M. Dreizler and J. da Providencia New York, 1985), p. 265
[4]   E. J. Baerends and O. V. Gritsenko, J. Phys. Chem. A 101 (1997)
5383.
[5] R. Stowasser and R.  Hoffman, J. Am. Chem. Soc. 121 (1999),  3414.

Kiet A. Nguyen
AFRL/MLPJ
Laser Hardened Materials Branch
Wright-Patterson AFB, OH  45433
Phone (937) 255-6671, Ext 3178
FAX   (937) 255-1128

==========
-----------------------------------------------------------------------
We touch this question briefly and refer to the relevant literature in
GI Csonka, BG Johnson Theor Chem Acc (1998) 99: 158-165 paper:

"Perdew, Parr et al. [1982 Phys. Rev. Lett.] showed that the exact KS
potential and its E(HOMO) change discontinuously as the electron number
N passes through an integer M. E(HOMO) is -I for N just below
M, -(I+A)/2 for N=M, and -A for N just
above M, where -A is the negative of the electron affinity." and "LSDA
and GGA, which miss the derivative discontinuity, effectively average
over it, providing an estimate of -(I+A)/2 for the E(HOMO)."

So Koopmans theorem does not hold for B3LYP.

For further details see the book of RG Parr and W Yang [1989] and
Perdew's work

I hope this helps,
with best regards

--
Gabor I. Csonka              Budapest University of Technology
FAX: (361) 463.36.42         Inorganic Chemistry Dept. Ch. Bldg
csonka@web.inc.bme.hu        H-1111, Bp. Szent Gellert ter 4
http://web.inc.bme.hu/~csonka/csg.html
http://www.ch.bme.hu/inc/csg.html
-----------------------------------------------------------------------
Dear Kevin:
I guess that with the true functional and within the Kohn-Sham scheme
the energy of the HOMO corresponds to the first ionization potential. I
dont remember where is published the proff, If I find it i will send
you the reference.
Armando Navarro
Facultade de quimica
Departamento de quimica organica
Santiago de Compostela
Spain
-----------------------------------------------------------------------
No, Koopmans' theorem is derived with explicit reference to HF theory.
Regarding Kohn-Sham orbitals computed with modern DFT, the following
references should be of interst to you:

P. Politzer, F. Abu-Awwad: "A comparative analysis of Hartree-Fock and
Kohn.Sham orbital energies", Theor. Chem. Acc. 99, 83-87 (1998)

R. Stowasser, R. Hoffmann: "What Do the Kohn-Sham Orbitals and
Eigenvalues Mean?", J. Am. Chem. Soc. 121, 3414-3420 (1999)

Briefly: It is found that Kohn-Sham MO energies differ significantly
> from HF MO energies, but they tend to be linearly related.

Jens >--<

=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
JENS SPANGET-LARSEN         Phone: +45 4674 2000 (RUC)
Department of Chemistry            +45 4674 2710 (direct)
Roskilde University (RUC)   Fax:   +45 4674 3011
P.O.Box 260                 E-Mail: JSL@virgil.ruc.dk
DK-4000 Roskilde, Denmark   http://virgil.ruc.dk/~jsl/
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
-----------------------------------------------------------------------
Hi,

this is an interesting problem .. and I've been able to find a very nice
article to describe just that (Koopman's for DFT in terms of occupied
and virtual orbitals in comparison with HF) ..

look at: R Stowasser, R Hoffmann, JACS, 1999, 121, 3414 ..

hope this helps !!

bye
serge
-----------------------------------------------------------------------
Dear kevin,

the eigenvalues connected to the Kohn-Sham (KS)  orbitals do not have a
strict physical meaning. In KS theory there is no equivalent of
Koopmans' theorem, which could relate orbital energies to ionization
energies.
However, as a direct consequence of the long-range behaviour of the
charge density, the eigenvalue of the HOMO of the KS orbitals equals the
negative of the exact ionization energy. This, however, is only true if
the essentially exact exchange-correlation potential is used  . See A.
Savin, C.J. Umriger, X. Gonze, Chem. Phys. Lett. 288 (1998) 391 for
details.

Best regards

Klaus
-----------------------------------------------------------------------




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Subject: Re: CCL:Summary: DFT and Koopmans' theorem
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> To summarize most of the responses, Koopmans' theorem does not hold for
> DFT.  Of course, DFT is not an MO method, so it doesn't make sense to
> even talk about HOMOs or LUMOs
...

I disagree strongly with such a statement, and I think I am not
alone. It is still make sense to talk about HOMOs and LUMOs. All
depends how and where you can talk about them. Please check this Roald
Hoffmann's paper

     R Stowasser, R Hoffmann, JACS, 1999, 121, 3414

Based on my own experince, I should say that the "molecular orbitals"
obtained from DFT are quite similar to the molecular orbitals from
standard MO-LCAO methods, and one can extract a lot of useful information
about molecular systems from analysis of their MOs even if the density
functional methods are used.

Sergey Gorelsky

York University, CANADA



From chemistry-request@server.ccl.net Fri Feb 16 13:43:05 2001
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Date: Fri, 16 Feb 2001 13:42:32 -0500
From: Kevin Gross <gross.4@wright.edu>
Subject: Re: CCL:Summary: DFT and Koopmans' theorem
To: "S.I.Gorelsky" <serge@yorku.ca>
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Perhaps I was unclear.  I am talking about HOMO/LUMO as being
meaningless from a semantic point of view.  DFT uses Kohn-Sham orbitals
to arrive at the electron density and so the highest occupied orbital is
perhaps better termed HOKSO for Highest Occupied Kohn-Sham Orbital.  I
thought the parenthetical comment you left out may have cleared this up.
In context, I said:

>Of course, DFT is not an MO method, so it doesn't make sense to
>even talk about HOMOs or LUMOs (nonetheless, to avoid HOKSO/LUKSO
>terminology, it is understood that in DFT, a HOMO energy refers to the
>eigenvalue of the highest occupied Kohn-Sham orbital).

Sorry for the confusion.

Kevin Gross

----- Original Message -----
From: "S.I.Gorelsky" <serge@yorku.ca>
To: "Kevin Gross" <gross.4@wright.edu>
Cc: <CHEMISTRY@ccl.net>
Sent: Friday, February 16, 2001 1:31 PM
Subject: Re: CCL:Summary: DFT and Koopmans' theorem


:
: > To summarize most of the responses, Koopmans' theorem does not hold
for
: > DFT.  Of course, DFT is not an MO method, so it doesn't make sense
to
: > even talk about HOMOs or LUMOs
: ...
:
: I disagree strongly with such a statement, and I think I am not
: alone. It is still make sense to talk about HOMOs and LUMOs. All
: depends how and where you can talk about them. Please check this Roald
: Hoffmann's paper
:
:      R Stowasser, R Hoffmann, JACS, 1999, 121, 3414
:
: Based on my own experince, I should say that the "molecular orbitals"
: obtained from DFT are quite similar to the molecular orbitals from
: standard MO-LCAO methods, and one can extract a lot of useful
information
: about molecular systems from analysis of their MOs even if the density
: functional methods are used.
:
: Sergey Gorelsky
:
: York University, CANADA
:
:


From chemistry-request@server.ccl.net Fri Feb 16 13:55:50 2001
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From: "Robert Q. Topper" <topper@cooper.edu>
To: CHEMISTRY@ccl.net
Cc: ECCC7 Scientific Organizing Committee -- Dave Ferguson <ferguson@tc.umn.edu>,
   Francis Muguet <muguet@ensta.fr>,
   "J.M.L. Gershom Martin" <comartin@wicc.weizmann.ac.il>,
   Mark Tuckerman <tuck@tosca.chem.nyu.edu>, Robert Topper <topper@cooper.edu>,
   Yi-Ping Liu <yi-ping.liu@wmich.edu>,
   ECCC7 Web Organizing Commitee -- HOPKINS BOB <bob@cooper.edu>,
   Dominic Coluccio <colucc@cooper.edu>, Heather Hauck <hauck@cooper.edu>,
   LENT CHRISTOPHER P <lent@cooper.edu>, MISZPUTEN RENEE <miszpu@cooper.edu>,
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Subject: ECCC7 Abstracts Due in One Week
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Just a reminder to everyone that abstracts for ECCC7 are
due at the latest by Friday, February 23 - one week from 
today. Abstracts may be submitted online at 

http://eccc7.cooper.edu

Review of abstracts will take place almost immediately
thereafter. We hope to notify everyone of their submission's
status by March 2. Registration for ECCC7 is scheduled to
begin on March 5, and the conference will begin on April 2.

I want to strongly encourage participants in the Spring
ACS meeting, as well as the RECOMB meeting, to participate in
ECCC7 as well. This is a perfect forum for you to share an
electronic version of your poster or presentation online!

Best regards,
Robert

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ELECTRONIC COMPUTATIONAL CHEMISTRY CONFERENCE APRIL 2001
http://eccc7.cooper.edu
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Robert Q. Topper, Ph.D.                 email:   topper@cooper.edu
Associate Professor of Chemistry        phone:   (212) 353-4378
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From chemistry-request@server.ccl.net Fri Feb 16 16:08:24 2001
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From: "Tapas Kar" <tapaskar@cc.usu.edu>
To: "S.I.Gorelsky" <serge@yorku.ca>, "Kevin Gross" <gross.4@wright.edu>
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References: <Pine.SOL.4.31.0102161309570.16368-100000@sunrise.ccs.yorku.ca>
Subject: Re: CCL:Summary: DFT and Koopmans' theorem
Date: Fri, 16 Feb 2001 14:07:24 -0700
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I agree with Sergey. We compared local quantities such as bond indices, atomic charges, valences etc obtained from HF
and KS.
Please see J. Phys. Chem A 200, 104, 9953-9963. No appreciable difference is noticed except slightly enhanced covalency
by KS orbitals.

------------------------------------------------
"We owe a lot to the Indians, who taught
 us how to count, without which no worthwhile
scientific discovery could have been made."
- Albert Einstein -
------------------------------------------------
Tapas Kar, Ph. D
Department of Chemistry & Biochemistry
Utah State University
Logan, UT 84322-0300

Tel: 435-797-7230
Fax: 435-797-3390
Email: tapaskar@cc.usu.edu
       tapas@risky3.chem.usu.edu
----- Original Message -----
From: "S.I.Gorelsky" <serge@yorku.ca>
To: "Kevin Gross" <gross.4@wright.edu>
Cc: <CHEMISTRY@ccl.net>
Sent: Friday, February 16, 2001 11:31 AM
Subject: CCL:Summary: DFT and Koopmans' theorem


>
> > To summarize most of the responses, Koopmans' theorem does not hold for
> > DFT.  Of course, DFT is not an MO method, so it doesn't make sense to
> > even talk about HOMOs or LUMOs
> >...
>
> I disagree strongly with such a statement, and I think I am not
> alone. It is still make sense to talk about HOMOs and LUMOs. All
> depends how and where you can talk about them. Please check this Roald
> Hoffmann's paper
>
>      R Stowasser, R Hoffmann, JACS, 1999, 121, 3414
>
> Based on my own experince, I should say that the "molecular orbitals"
> obtained from DFT are quite similar to the molecular orbitals from
> standard MO-LCAO methods, and one can extract a lot of useful information
> about molecular systems from analysis of their MOs even if the density
> functional methods are used.
>
> Sergey Gorelsky
>
> York University, CANADA
>
>
>
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>
>
>
>



