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From: "Tatyana E. Shubina" <T.E.Shubina@TUE.NL>
To: <CHEMISTRY@ccl.net>
Subject: error message
Date: Thu, 4 Oct 2001 23:13:27 +0300
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Dear CCLers,

During of optimisation of allyl cation I got error message and =
calculation stopped:

Cycle   1  Pass 0  IDiag 1:
 Petite list used in FoFDir.
 MinBra=3D 0 MaxBra=3D 1 Meth=3D 1.
 IRaf=3D       0 NMat=3D   1 IRICut=3D       1 DoRegI=3DT DoRafI=3DF =
ISym2E=3D 1 JSym2E=3D1.
 nRTMD1 allocation error in MakMD1.
 Error termination via Lnk1e in /home/g98/l502.exe.
 Job cpu time:  0 days  0 hours 23 minutes 26.8 seconds.
 File lengths (MBytes):  RWF=3D   14 Int=3D    0 D2E=3D    0 Chk=3D    3 =
Scr=3D    1

The question is: what that error message mean and what is the solution?
I have G98 A.7, SuSE 6.3 with 2.2.14 kernel.

Thanks in advance for your help,
Tatyana

--=20
               =20
           file://` `\              Tatyana E. Shubina
 _,-"\%   // /``\`\            Schuit Institute of Catalysis,
>__ ^ |% // /  } `\`\          Laboratory of Inorganic Chemistry and =
Catalysis     =20
   /  (%//.(((((((((((((\      Eindhoven University of Technology=20
  |    '         `-._          5600 MB Eindhoven
  \   ,     (  \   _`-.__.-;%> The Netherlands=20
 /_`\ \,"-=3D-'`\ \." `-..-'`    TEL. +-31-40-2474916;  FAX =
+-31-40-2455054
  TS/_/       /_/              email: T.E.Shubina@tue.nl
                           =
http://www.brainbench.com/transcript.jsp?pid=3D600030

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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META content=3D"text/html; charset=3Dkoi8-r" http-equiv=3DContent-Type>
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<BODY bgColor=3D#ffffff>
<DIV><FONT face=3D"Times New Roman">Dear CCLers,</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=3D"Times New Roman">During of optimisation&nbsp;of allyl =
cation I=20
got error message and calculation stopped:</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=3D"Times New Roman">Cycle&nbsp;&nbsp; 1&nbsp; Pass =
0&nbsp; IDiag=20
1:<BR>&nbsp;Petite list used in FoFDir.<BR>&nbsp;MinBra=3D 0 MaxBra=3D 1 =
Meth=3D=20
1.<BR>&nbsp;IRaf=3D&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0 =
NMat=3D&nbsp;&nbsp; 1=20
IRICut=3D&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 1 DoRegI=3DT DoRafI=3DF =
ISym2E=3D 1=20
JSym2E=3D1.<BR>&nbsp;nRTMD1 allocation error in MakMD1.<BR>&nbsp;Error =
termination=20
via Lnk1e in /home/g98/l502.exe.<BR>&nbsp;Job cpu time:&nbsp; 0 =
days&nbsp; 0=20
hours 23 minutes 26.8 seconds.<BR>&nbsp;File lengths (MBytes):&nbsp;=20
RWF=3D&nbsp;&nbsp; 14 Int=3D&nbsp;&nbsp;&nbsp; 0 =
D2E=3D&nbsp;&nbsp;&nbsp; 0=20
Chk=3D&nbsp;&nbsp;&nbsp; 3 Scr=3D&nbsp;&nbsp;&nbsp; 1</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=3D"Times New Roman">The question is: what that error =
message mean=20
and what is the solution?</FONT></DIV>
<DIV><FONT face=3D"Times New Roman">I have G98 A.7, SuSE 6.3 with 2.2.14 =

kernel.</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=3D"Times New Roman">Thanks in advance for your =
help,</FONT></DIV>
<DIV><FONT face=3D"Times New Roman">Tatyana</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=3D"Times New Roman" size=3D2>--=20
<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;=20
<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <A=20
href=3D"file://`">file://`</A>=20
`\&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;=20
Tatyana E. Shubina<BR>&nbsp;_,-"\%&nbsp;&nbsp; //=20
/``\`\&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
Schuit=20
Institute of Catalysis,<BR>&gt;__ ^ |% // /&nbsp; }=20
`\`\&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Laboratory of =

Inorganic Chemistry and Catalysis&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
<BR>&nbsp;&nbsp;=20
/&nbsp; (%//.(((((((((((((\&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Eindhoven =
University=20
of Technology <BR>&nbsp; |&nbsp;&nbsp;&nbsp;=20
'&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
`-._&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 5600 MB=20
Eindhoven<BR>&nbsp; \&nbsp;&nbsp; ,&nbsp;&nbsp;&nbsp;&nbsp; (&nbsp;=20
\&nbsp;&nbsp; _`-.__.-;%&gt; The Netherlands <BR>&nbsp;/_`\ \,"-=3D-'`\ =
\."=20
`-..-'`&nbsp;&nbsp;&nbsp; TEL. +-31-40-2474916;&nbsp; FAX=20
+-31-40-2455054<BR>&nbsp; TS/_/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
/_/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;=20
email: <A=20
href=3D"mailto:T.E.Shubina@tue.nl">T.E.Shubina@tue.nl</A><BR>&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
<A=20
href=3D"http://www.brainbench.com/transcript.jsp?pid=3D600030">http://www=
.brainbench.com/transcript.jsp?pid=3D600030</A></FONT></DIV></BODY></HTML=
>

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From chemistry-request@server.ccl.net Fri Oct  5 07:16:48 2001
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From: =?iso-8859-1?Q?Jes=FAs_Rodr=EDguez_Otero?= <qftjesus@usc.es>
To: <chemistry@ccl.net>
Subject: NBO problem with LPs
Date: Fri, 5 Oct 2001 13:21:15 +0200
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Hi

I have a serious problem with NBO calculations with the two LPs of the =
oxigen atoms.
For instance, with the water molecule (HF, DFT or MP2) the two lone =
pairs of the oxigen atoms adopt a very singular arrangement:
one LP in the molecular plane (a hybrid aprox sp), an the other LP being =
a pure p orbital, absolutely perpendicular to the plane.
This is totally different to the expected: two LPs with sp3 character, =
above and below the plane.
Do NBO calculations work well???
Anybody has a similar problem??

Thanks in advance

Jesus Rodriguez Otero
qftjesus@usc.es




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<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>Hi</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>I have a serious problem with NBO =
calculations with=20
the two LPs of the oxigen atoms.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>For instance, with the water molecule =
(HF, DFT or=20
MP2) the two lone pairs of the oxigen atoms adopt a very singular=20
arrangement:</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>one LP in the molecular plane (a hybrid =
aprox sp),=20
an the other LP being a pure p orbital, absolutely&nbsp;perpendicular to =
the=20
plane.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>This is totally&nbsp;different to the =
expected: two=20
LPs&nbsp;with sp3 character, above and below the plane.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Do NBO calculations work =
well???</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Anybody has a similar =
problem??</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Thanks in advance</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Jesus Rodriguez Otero</FONT></DIV>
<DIV><FONT face=3DArial size=3D2><A=20
href=3D"mailto:qftjesus@usc.es">qftjesus@usc.es</A></FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV>&nbsp;</DIV>
<DIV>&nbsp;</DIV></BODY></HTML>

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From chemistry-request@server.ccl.net Fri Oct  5 03:20:45 2001
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From: VITORGE Pierre 094605 <vitorge@azurite.cea.fr>
To: "'John Bushnell'" <bushnell@chem.ucsb.edu>,
   Ulrike Salzner
	 <salzner@fen.Bilkent.EDU.TR>
Cc: ccl <chemistry@ccl.net>
Subject: RE: size of s,p,d orbitals
Date: Fri, 5 Oct 2001 08:59:17 +0200 
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IN pinciple it is not straightforward to compare the size of geometric
entitis of different shapes.
What can be "observed" is square the orbital (probability to find
electrons); but the most conveninet for your question is certainly the
density of probability, it can be "seen" with only the radial part of the
orbital R, the corresponding density is (r R)^2 classically plotted. here
you face the (mathematical) problem of eventually non symetrical
distributions (eventually with several maxima) hence the maximum of the
distribution is not necessarly very close to the mean distance. the order of
the maxima are:
2p < 2s
3d < 3p < 3s
Since 3s has 2 relative maxima at distances shorther than the maximum
3p has 1 relative maximum at distance shorther than the maximum
hence the mean distances (for 3s, 3p and 3d) are closest than the maxima


Pierre Vitorge
CEA Saclay
DEN/DPC/SCPA/LCRE Bat.450 pce 157D
UMR 8587 (Universite d'Evry-CNRS-CEA)
91191 Gif sur Yvette cedex
France
pierre.vitorge@cea.fr
phone +33 169-08-32-65,
secretary: +33 169-08-32-50, 
fax: +33 169-08-32-42
http://perso.club-internet.fr/vitorgen/pierre/pierre.html
pierre.vitorge@laposte.net



-----Original Message-----
From: John Bushnell [mailto:bushnell@chem.ucsb.edu]
Sent: Friday, October 05, 2001 3:17 AM
To: Ulrike Salzner
Cc: ccl
Subject: CCL:size of s,p,d orbitals



Regarding the argument about "the lack of repulsion between
the 2p orbital and a lower shell p-orbital", I would think
that this would not be an issue.  If there was such a thing
as a "1p" orbital, it would be spherically symmetric when
filled.  Thus I wouldn't expect any inherently p-specific
repulsion to such a filled subshell, if it existed.  That
is, the s orbital would also experience such a "lack of
repulsion" :-)

        - John          bushnell@chem.ucsb.edu

On Thu, 4 Oct 2001, Ulrike Salzner wrote:

> Dear Collegues,
> until 1 hour ago, I firmly believed that p-orbitals are larger than s-
> orbitals for atoms that are in the same row of the periodic table. Only
> for the second row the sizes were about same. This conviction is mainly
> due to a paper by Werner Kutzelnigg, Angew. Chem. 1984, 96, 262-286. I
> further believed that s electrons are attracted stronger by the nuclei
> because they have no node at the position of the nucleus and that the
> similar size of s- and p-orbitals in the second row is due to the lack of
> 1p orbitals and therefore cancellation of two effects: less attraction of
> p electrons due to the node and lack of repulsion between 2p and a lower
> shell p-orbital. This is also what I kept telling our first year students.
> 
> Today a collegue approached me who teaches inorganic chemistry to our
> third year students. She told me that she was surprized that the students
> did not know that the order according to decreasing size is s > p > d
> within the same row. After admitting that this was to be blamed on me, she
> showed me the Inorganic Chemistry textbook by Huhee. There are plots of
> radial distribution times r square, clearly indicating that the maximum
> shifts to smaller values from s to p to d. Huhee quotes Herberg's "Atomic
> Spectra and Atomic Structure" from 1944. In Kutzelniggs article the
> average distance of electrons from the nucleus was used not radial
> distribution times r square.
> 
> The question now is: Do the two ways to determine the size of the orbitals
> lead to different conclusions? Is there a mistake somewhere? Is there
> newer information? Which orbitals are bigger? What is best method to
> determine the size to explain bonding, hybridization, or lack thereof and
> so on? 
> 
> Thanks in advance for suggestions,
> Ulrike Salzner
> ===================================================================
> 
> Dr. Ulrike Salzner
> Associate Professor
> Department of Chemistry		Tel.: (312) 290-2122
> Bilkent University		Fax.: (312) 266-5097
> 06533 Bilkent, Ankara 		e-mail: salzner@fen.bilkent.edu.tr
> Turkey
> 
> ====================================================================
> 
> 
> 
> 
> 
> 
> 


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From chemistry-request@server.ccl.net Fri Oct  5 09:35:24 2001
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Message-ID: <3BBDB71F.99539087@fen.bilkent.edu.tr>
Date: Fri, 05 Oct 2001 16:35:28 +0300
From: Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>
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To: chemistry@ccl.net, chrirena@techunix.technion.ac.il,
   Pascal.Boulet@chiphy.unige.ch
Subject: relative sizes of s-,p-,d-orbitals
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Hello everybody,
thanks to everyone who replied to my question about relative sizes of
s-,p-, and d-orbitals in one shell. To summarize:

There are two cases and three approaches to distinguish. The first case
deals with hydrogenic one-electron functions, the second deals with
approximate orbitals for multi-electron systems. The dispute between my
collegue and myself was actually due to this. I was thinking of
many-electron atoms, she was teaching hydrogenic orbitals. But I learned
something new, since I was not aware that this difference existed.

The three approaches to define size are using 1) maxima in electron
density, 2) average distance from the nucleus <r>, 3) the size that is
needed to include 90% or so of the electron density. The difficulty
arises from the fact that wavefunctions approach zero at infinite
distance from the nucleus but do not become identical zero and form the
fact that position of maximum density and average density differ
considerably.

It seems clear that for hydrogenic orbitals all three approaches agree
in that s > p > d. However, for many electron systems the situation
appears to quite different and exactly like I always believed ( T H A N
K S). The calculation done by Mikael Johansson on the Ar atom shows that
2s and 2p are almost of same size, p a little smaller, but 3s is
significantly smaller than 3p. The method was large basis set DFT and
the size is defined by the space that includes 90% and 95% of the
electron density, respectively.

The original replies are attached below.

Sincerely,
Ulrike Salzner


This was an interesting question, succeeding in diverting me from things
I
should be doing :-)

Without taking a stand on what method is the "best" I made a quick
calculation on the argon-atom and compared the "sizes" of the 2s/2p and
3s/3p orbitals. Below is reported the radius of a spherical boundary
around the atom which contains 90% resp. 95% of the electron density of
the orbital in question: (the calculation was made on B3LYP/TZVP level,
for no specific reason)

    90%   95%
2s  0.65  0.74 a.u.
2p  0.63  0.72
3s  2.14  2.44
3p  2.64  3.06

So according to the above the 2s/2p-orbitals are about as big, whereas
the 3s is smaller than the 3p.

Other comments on the subject would be very welcome!

Have a nice day,
    Mikael Johansson
    University of Helsinki
    Department of Chemistry
    mikael.johansson@helsinki.fi
    Phone: +358-9-191 50185
    FAX  : +358-9-191 50169



Subject:
            Re: CCL:size of s,p,d orbitals
       Date:
            Thu, 4 Oct 2001 15:16:44 +0200
      From:
            Christoph van Wüllen <Christoph.vanWullen@tu-berlin.de>
        To:
            Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>
 References:
            1




...for hydrogenic orbitals, the exponential factor is the same, so
I guess s orbitals are more compact (higher l-orbitals have an extra
centrifugal barrier term in the potential).

However in many-electron atoms the shielding of the nucleus by the
"other"
electrons may reverse the situation: within the same main quantum
number,
d orbitals see a more shielded nucleus than s orbitals.

Looking at Hartree-Fock orbitals and their r, r^2, .... expectation
values
might give you the desired information.

+---------------------------------+-------------------------------------+

| Prof. Christoph van Wüllen      | Tele-Phone (+49) (0)30 314 27870
|
| Technische Universität Sekr. C3 | Tele-Fax   (+49) (0)30 314 23727
|
| Straße des 17. Juni 135         | eMail
|
| D-10623 Berlin, Germany         | Christoph.vanWullen@TU-Berlin.De
|
+---------------------------------+-------------------------------------+



Subject:
        Re: CCL:size of s,p,d orbitals
   Date:
        Thu, 04 Oct 2001 08:28:19 -0500
   From:
        "Preston MacDougall" <pmacdougall@mtsu.edu>
     To:
        Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>




Dear Dr. Salzner,
   As a theoretical chemist, making predictions comes naturally to me.
I
predict that you will be deluged with responses to your CCL posting, and

some of them will simply astound you with their level of convolution.
   What I tell my students is that orbitals are just a scaffold.  They
are
not strictly required, but they make computing wavefunctions, and
explaining
chemistry easier.  Also, like scaffolds it is pointless to worry about
the
details of their appearance.  Scaffolds and orbitals are simply not
there
when you examine a finished building, a real molecule, or an accurate
wavefunction.
   If you are interested in some real properties of molecules that you
can
relate to chemical reactivity, please visit the online proceedings of
the
"ChemBond Workshop" at http://www.lctn.uhp-nancy.fr/ChemBond/TCA/  Here,
you
will find an international, theoretical discussion of the chemical bond.

You can freely download all the papers in pdf format (it was also
published
by Theoretical Chemistry Accounts).  My paper with Chris Henze may be of

interest to you and your students, for at least a couple of reasons: it
is
not convoluted, it is based on observable functions, and it has some
very
attractive graphics (reviewed in "Nature", Aug. 9 issue, p588).

Sincerely,

Preston MacDougall

P.S.  Please do not post my response to CCL.
--
Dr. Preston J. MacDougall
Associate Professor
Department of Chemistry, Box X101
Middle Tennessee State University
Murfreesboro, TN 37132



Subject:
            Re: CCL:size of s,p,d orbitals
       Date:
            Thu, 4 Oct 2001 16:55:17 +0200
      From:
            "Prof.Dr.Stefan Grimme" <grimmes@uni-muenster.de>
        To:
            Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>
 References:
            1




Dear Ulrike,
I don't have Kutzelnigg's article at hand but all my QM
textbooks tell me that (at least for H-atom functions) s is larger than
p
according to both criteria (max. of Psi^2*r^2 and <r^2> or <r>). E.g.
the <r>
value for hydrogen functions reads
<r>= const*(5/2 - L*(L+1)/2n^2).
However, I don't think that this is important in practice because
1) what means "size"?
2) screening effects (as you mentioned) are important
    in many-electron systems so one has to look at
    the expectation values of e.g. HF-functions optimized
    for the atoms under consideration.
Best wishes
Stefan
_________________________________________________________
Prof. Dr. Stefan Grimme
Organisch-Chemisches Institut (Abt. Theoretische Chemie)
Westfaelische Wilhelms-Universitaet, Corrensstrasse 40
D-48149 Muenster, Tel (+49)-251-83 36512/33241/36515(Fax)
Email:grimmes@uni-muenster.de
http://www.uni-muenster.de/Chemie/OC/research/grimme/
_________________________________________________________
Positions available for carrying out doctoral or
postdoctoral studies in chemistry in Münster:
http://www.uni-muenster.de/Chemie/OC/positions/
_________________________________________________________


Subject:
        RE: size of s,p,d orbitals
   Date:
        Thu, 4 Oct 2001 19:36:34 +0200
   From:
        Jordi Teixido <j.teixido@iqs.edu>
     To:
        "'Ulrike Salzner'" <salzner@fen.Bilkent.EDU.TR>




Hi Ulrike,
(sorry for multiple mails this is the complete one)

if you take average radius module <r> for hydrogenlike atoms
(1 single electron) we can analytically derive a mathematical
formula depending on quantum numbers n and l only
(I take it from Atkins' physical chemistry textbook)

<r> = (a/Z) (n^2) [1 +  1/2 (1 - { l(l+1) / n^2 })]

a is Bohr radius

so. i.e for n=4  l=0,1,2,3

we have

24 23 21 and 18  (a/Z)  respectively  (hope no mistake)

anyway if the formula is correct for a given n
the rightmost factor

(1 - { l(l+1) / n*n })

gets lightly smaller for increasing l
so does the average <r>

similar conclusions arise if you consider average < r^2 >

for calculating <r> or <r^2> you need the full wavefunction
(that spans from nuclei to infinity) not only
the radial or harmonic parts (alone or squared ...).
so perhaps this is the best 'sizing' method,

of course you can do other sort of calculations, i.e.
truncate the wavefunction to a given
probability density (0.999 or 0.9  or, why not, 0.002)
and from this truncated model repeat similar
calculations to derive same or different conclusions.

in hydrogenlike systems (1 electron) the energy of the
wavefunction depends only on quantum number 'n' so
orbitals with same 'n' but different 'l' (like those
calculated above) form a degenerate set.
So although the average <r> is different for different
Orbitals, the electronic energy remain the same


This is again true for theoretical very large
polyelectronic atoms with extremely large Z, but is false for
real many-electron atoms, where the degeneracy is
broken for different 'l' values, now lower 'l' values
give 'lower' energy. Need to say, that now the orbital
picture is not an analytical solution, is only a (very
good) approximation.
Of course the lower electron energy comes from a compromise
Between more attraction with the nucleus (electrons closer to the
nucleus) and less electronic repulsion (electrons more distant
between them),and other factors (spin-orbit,.).

The question is if this closeness to the nucleus
in many-electron atom reverses or not the
hydrogenlike <r> result, not looking only
to the energy distribution.


Subject:
        Re: CCL:size of s,p,d orbitals
   Date:
        Thu, 4 Oct 2001 14:11:02 -0300 (ADT)
   From:
        Cory Pye <cpye@crux.stmarys.ca>
     To:
        Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>




Hi Uli,


For hydrogenic orbitals,
<r>_n,l= n^2 ( 1+ (1/2)(1 - l(l+1)/n^2))a_0/Z
so the mean radius decreases as l increases
Atkins, Physical Chemistry 6ed, p355.
However for hydrogenic atoms, a 3s electron has the same energy as a 3p
electron. So clearly, the mean radius cannot predict the energy levels.

>From the same text, p364, the difference between s,p,d , etc in real
atoms is
due to penetration and shielding, i.e. the innermost maximum in a 3s
orbital is
further in than the innermost maximum of a 3p orbital, and hence the s
orbitals
penetrate to the nucleus more than the p orbitals do. As a result, the s

electrons "see" more of the full nuclear charge, and are not shielded as
much
by other shells.


   *************    !  Dr. Cory C. Pye
 *****************  !  Assistant Professor
***   **    **  **  !  Theoretical and Computational Chemistry
**   *  ****        !  Department of Chemistry, Saint Mary's University
**      *  *        !  923 Robie Street, Halifax, NS B3H 3C3
**      *  *        !  cpye@crux.stmarys.ca
http://apwww.stmarys.ca/cpye
***     *  *    **  !  Ph: (902)-420-5654  FAX:(902)-496-8104
 *****************  !
   *************    !  Les Hartree-Focks (Apologies to Montreal Canadien
Fans)


Subject:
        Re: CCL:size of s,p,d orbitals
   Date:
        Thu, 4 Oct 2001 13:39:13 -0500
   From:
        "Robert E. Harris" <HarrisR@missouri.edu>
     To:
        Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>, ccl
<chemistry@ccl.net>




The discussion given in Chs. 8 and 9 of Slater's Quantum Theory of
Atomic
Structure, v. I still seems to me one of the clearest on the subject.

John C. Slater, Quantum Theory of Atomic Structure, v. I, McGraw Hill,
New
York, Toronto, London, 1960.

REH


Robert E. Harris  Phone: 573-882-3274.  Fax:  573-882-2754
Department of Chemistry, University of Missouri-Columbia
Columbia, Missouri, USA 65211





Subject:
        Re: CCL:size of s,p,d orbitals
   Date:
        Thu, 4 Oct 2001 18:17:06 -0700 (PDT)
   From:
        John Bushnell <bushnell@chem.ucsb.edu>
     To:
        Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>
    CC:
        ccl <chemistry@ccl.net>




Regarding the argument about "the lack of repulsion between
the 2p orbital and a lower shell p-orbital", I would think
that this would not be an issue.  If there was such a thing
as a "1p" orbital, it would be spherically symmetric when
filled.  Thus I wouldn't expect any inherently p-specific
repulsion to such a filled subshell, if it existed.  That
is, the s orbital would also experience such a "lack of
repulsion" :-)

        - John          bushnell@chem.ucsb.edu

On Thu, 4 Oct 2001, Ulrike Salzner wrote:



Subject:
            Re: CCL:size of s,p,d orbitals
       Date:
            Fri, 05 Oct 2001 01:32:49 -0400
      From:
            "Samuel A. Abrash" <sabrash@richmond.edu>
        To:
            salzner@fen.Bilkent.EDU.TR
 References:
            1




Dear Dr. Salzner,
        I echo Robert Harris's recommendation of Slater's classic work,
but also
add the following.  The plot of  Psi^2(r) r2 dr vs r seek out the median

(the r value for which the radial probability is maximized), which of
course is the global maximum on the curve.  (Note that I am including
the
radial portion of the function only). In this case for a given shell,
rmaxd
< rmaxp < rmaxs.

        An average is of course taken by the quantum mechanical formula
<r> =
Integral Psi*(r) r Psi(r) r^2 dr.

        The reason that the latter is yields a different sequence of
sizes than
the former is the presence of core penetration.  Remember that the
probability function has n maxima for an s orbital, n-1, for a p
orbital,
n-2 maxima for a d orbital, and so on.  Core penetration, which is
larger
when the L quantum number is smaller, refers to the fact that the
smaller
maxima for a given wavefunction, line up with the maxima for the inner
shells.  I.e. for a 3s orbital, the first maximum lines up approximately

with the average position of the 1s electrons, the second with the 2s
electrons.  For the 3p orbital the first maximum lies between the
position
of the 1s and 2s electrons, and of course for 3d there is only one
maximum,
and no probability falling among the core electrons.

        This also explains the lower energy of 3s electrons relative to
3d
electrons.  The small fraction of time spend by the electrons in the
region
of core penetration result in substantial electrostatic stabilization.
The
effect is always higher for ns orbitals than np orbitals than nd
orbitals.

        This should explain the difference in both the two size
measures, and in
the relative stability of the orbitals.

        Hybridization can be best thought of as a result of the
following.  When
calculating the shapes of atomic orbitals, the potential is a coulomb
potential between a point source nucleus and the electron cloud, and as
a
result has spherical symmetry.  For this reason, the solutions
(spherical
harmonics) for the isolated atoms are solutions mapped onto a sphere.

        When calculating the shapes of atomic orbitals in molecules, the
symmetry
is based not on a potential of spherical symmetry, but of a symmetry
based
on the arrangement of the nuclei in the molecule, which has a lower
symmetry than the isolated atomic problem.  However, the atomic
wavefunction in the molecule can still be expressed as a linear
combination
of the hydrogen-like atomic wavefunctions because the latter form a
complete orthonormal set of functions.  Hybridization is an approximate
representation of the exact linear expansion of the true orbital in
terms
of these hydrogen-like orbitals.

        I hope this is of assistance.  Please feel free to contact me at
my e-mail
address below if you have further questions.

        Best regards,
        Professor Samuel A. Abrash


Samuel A. Abrash
Associate Professor
Department of Chemistry
University of Richmond
Richmond, VA 23173
Phone: (804) 289-8248
Fax: (804) 287-1897
E-mail: sabrash@richmond.edu
http://www.richmond.edu/~sabrash
"Research is to teaching as sin is to confession - if you don't
participate
in one you don't have anything to say at the other."





Subject:
        RE: size of s,p,d orbitals
   Date:
        Fri, 5 Oct 2001 08:59:17 +0200
   From:
        VITORGE Pierre 094605 <vitorge@azurite.cea.fr>
     To:
        "'John Bushnell'" <bushnell@chem.ucsb.edu>,
        Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>
    CC:
        ccl <chemistry@ccl.net>




IN pinciple it is not straightforward to compare the size of geometric
entitis of different shapes.
What can be "observed" is square the orbital (probability to find
electrons); but the most conveninet for your question is certainly the
density of probability, it can be "seen" with only the radial part of
the
orbital R, the corresponding density is (r R)^2 classically plotted.
here
you face the (mathematical) problem of eventually non symetrical
distributions (eventually with several maxima) hence the maximum of the
distribution is not necessarly very close to the mean distance. the
order of
the maxima are:
2p < 2s
3d < 3p < 3s
Since 3s has 2 relative maxima at distances shorther than the maximum
3p has 1 relative maximum at distance shorther than the maximum
hence the mean distances (for 3s, 3p and 3d) are closest than the maxima



Pierre Vitorge
CEA Saclay
DEN/DPC/SCPA/LCRE Bat.450 pce 157D
UMR 8587 (Universite d'Evry-CNRS-CEA)
91191 Gif sur Yvette cedex
France
pierre.vitorge@cea.fr
phone +33 169-08-32-65,
secretary: +33 169-08-32-50,
fax: +33 169-08-32-42
http://perso.club-internet.fr/vitorgen/pierre/pierre.html
pierre.vitorge@laposte.net



-----Original Message-----
From: John Bushnell [mailto:bushnell@chem.ucsb.edu]
Sent: Friday, October 05, 2001 3:17 AM
To: Ulrike Salzner
Cc: ccl
Subject: CCL:size of s,p,d orbitals



Regarding the argument about "the lack of repulsion between
the 2p orbital and a lower shell p-orbital", I would think
that this would not be an issue.  If there was such a thing
as a "1p" orbital, it would be spherically symmetric when
filled.  Thus I wouldn't expect any inherently p-specific
repulsion to such a filled subshell, if it existed.  That
is, the s orbital would also experience such a "lack of
repulsion" :-)

        - John          bushnell@chem.ucsb.edu

On Thu, 4 Oct 2001, Ulrike Salzner wrote:

















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From chemistry-request@server.ccl.net Fri Oct  5 11:33:46 2001
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Hi,

Have anybody any idea how to evaluate the solvatation influence to
docking of ligands with strongly solvated functional groups ???

What king of software could solve that ?
For example, AutoDock have solvatation of macro-molecule, but if I
understand well, these solvatation parametres are mostly introduced
for establishing hydrophobic/hydrophylic regions...

Best regards
Arturas Z.



From chemistry-request@server.ccl.net Fri Oct  5 12:55:34 2001
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Subject: Re: CCL: docking ligand with solvatation effect ?
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 <1203677378.20011006053223@vaidila.vdu.lt>
 <1934467103.20011006054533@vaidila.vdu.lt>
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Hi,

Have anybody any idea how to evaluate the solvatation influence to
docking of ligands with strongly solvated functional groups ???

What kind of software could solve that ?
For example, AutoDock have solvatation of macro-molecule, but if I
understand well, these solvatation parametres are mostly introduced
for establishing hydrophobic/hydrophylic regions...

Best regards
Arturas Z.

P.S. sorry for dublicated message



From chemistry-request@server.ccl.net Fri Oct  5 14:07:13 2001
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Date: Fri, 5 Oct 2001 11:07:07 -0700 (PDT)
From: Juan Pablo Senosiain <senos@Stanford.EDU>
To: <chemistry@ccl.net>
Subject: CASPT2 using Gaussian98
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Dear colleages,


I performed CASSCF and CASPT2 calculations on O2 molecule using the
cc-pvTZ basis set and  2 active  spaces: 6elect, 4 orbitals (i.e. the
degenerate pi system) and 8 electrons, 6 orbitals (sigma + sigma* + pi
system).

The two CASSCF calculations look reasonable, but the CASPT2 optimisations
break the symmetry of the pi orbitals, resulting in HOMOs localized on a
single atomic centre, and fail to converge. Does somebody have an insight
on why this happens?


many thanks.

 juan pablo
_________________________________________________________

  J u a n   P a b l o   S e n o s i a i n   P e l a e z

	Materials  Science  and  Engineering
	S t a n f o r d  U n i v e r s i t y
	office:   (650) 7230420
        home:     (415) 6416211
   	http://chemeng.stanford.edu/~senos
_________________________________________________________



From chemistry-request@server.ccl.net Fri Oct  5 13:30:17 2001
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Date: Fri, 05 Oct 2001 13:28:16 -0400
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Subject: SUMMARY:SSH on SGI IRIX6.5
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--------------2569F5F6419027A205D991E3
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Hi, Dear CCLers:

Two days ago, I ask help from here for the ssh problems. I have received
a lot of replies and got a lot of useful informations. I just show my
thanks to all of these friends. Here is a brief summary. for SSH and my
resolution:

From: Szilveszter Juhos:
Hello, I did compiled ssh[d] for Irix though it was not an easy thing
first time. I know its a nightmare, you can download it from the
Cambridge Univ
site: http://www-uxsup.csx.cam.ac.uk/CD/UCAM_SSH_CD_05/IRIX

The problem is the sshd. If you need it, from the Irix freeware site you

should to download automake, m4, autoconf and GNU make than compile the
required libs (./configure; make install is the usual method). I spent a

whole day, the current version I have is _very_ old.

From: Aniko Simon
We also use ssh, i.e.:
OpenSSH_2.5.1p2 compiled successfully on <our_machine> (IRIX 6.5).
That's what we are using...

From: Simon BERNECHE

There's a pre-compiled version of openssh on SGI web site:

  http://freeware.sgi.com/index-by-alpha.html

From: Eugene Leitl
Have you tried http://ssh.com/products/ssh/download.cfm
What is the error message you get? Are you using GNU compilers?

From: Jan Labanowski
On the CCL Web site there are my notes on installation of Web servers
and servlets/JSP stuff in
    http://www.ccl.net/cca/software/UNIX/apache/
Among them, there are my notes on installing Apache on IRIX.
In the IRIX notes, there is a blurb on ssh installation on IRIX.
You can have a look at these.
Note that the notes are a few months old, i.e., obsolete. But the
principles
hopefully still apply.

From: Rajarshi Guha
How was the openssl installed? If it was from source did you do a make
install? You would also need to update the library paths (I don't know
the
command on IRIX). You could also specifiy the library path of openssl in

the configure command in the openssh directory.

And from many others who gave the same informations. The following is my
resolution:

After I read the config.log. I found the openssl-0.9.6a is a 64bit lib.
But openssh-2.9p2 is 32bit program. Maybe I do not know how to compile
it with 64 bit. Anyone knows? So I downloaded the old version
openssl-0.9.5a, for the openssh-2.9p2 does not work well with it, I
compiled openssh-2.1.1p3. Now it works well.

I hope this can help these who work with IRIX and want to use SSH!

William.

--
William Wei                    Tel: 1-416-946-7551
Faculty of Pharmacy            Fax: 1-416-978-8511
19 Russell Street              Email: william@phm.utoronto.ca
Toronto, ON. M6G 3P7
Canada.



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<!doctype html public "-//w3c//dtd html 4.0 transitional//en">
<html>
Hi, Dear CCLers:
<p>Two days ago, I ask help from here for the ssh problems. I have received
a lot of replies and got a lot of useful informations. I just show my thanks
to all of these friends. Here is a brief summary. for SSH and my resolution:
<p>From: Szilveszter Juhos:
<br>Hello, I did compiled ssh[d] for Irix though it was not an easy thing
<br>first time. I know its a nightmare, you can download it from the
<br>Cambridge Univ
<br>site: <A HREF="http://www-uxsup.csx.cam.ac.uk/CD/UCAM_SSH_CD_05/IRIX">http://www-uxsup.csx.cam.ac.uk/CD/UCAM_SSH_CD_05/IRIX</A>
<p>The problem is the sshd. If you need it, from the Irix freeware site
you
<br>should to download automake, m4, autoconf and GNU make than compile
the
<br>required libs (./configure; make install is the usual method). I spent
a
<br>whole day, the current version I have is _very_ old.
<p>From: Aniko Simon
<br>We also use ssh, i.e.:
<br>OpenSSH_2.5.1p2 compiled successfully on &lt;our_machine> (IRIX 6.5).
<br>That's what we are using...
<p>From: Simon BERNECHE
<p>There's a pre-compiled version of openssh on SGI web site:
<p>&nbsp; <A HREF="http://freeware.sgi.com/index-by-alpha.html">http://freeware.sgi.com/index-by-alpha.html</A>
<p>From: Eugene Leitl
<br>Have you tried <A HREF="http://ssh.com/products/ssh/download.cfm">http://ssh.com/products/ssh/download.cfm</A>
<br>What is the error message you get? Are you using GNU compilers?
<p>From: Jan Labanowski
<br>On the CCL Web site there are my notes on installation of Web servers
<br>and servlets/JSP stuff in
<br>&nbsp;&nbsp;&nbsp; <A HREF="http://www.ccl.net/cca/software/UNIX/apache/">http://www.ccl.net/cca/software/UNIX/apache/</A>
<br>Among them, there are my notes on installing Apache on IRIX.
<br>In the IRIX notes, there is a blurb on ssh installation on IRIX.
<br>You can have a look at these.
<br>Note that the notes are a few months old, i.e., obsolete. But the principles
<br>hopefully still apply.
<p>From: Rajarshi Guha
<br>How was the openssl installed? If it was from source did you do a make
<br>install? You would also need to update the library paths (I don't know
the
<br>command on IRIX). You could also specifiy the library path of openssl
in
<br>the configure command in the openssh directory.
<p>And from many others who gave the same informations. The following is
my resolution:
<p>After I read the config.log. I found the openssl-0.9.6a is a 64bit lib.
But openssh-2.9p2 is 32bit program. Maybe I do not know how to compile
it with 64 bit. Anyone knows? So I downloaded the old version&nbsp; openssl-0.9.5a,
for the openssh-2.9p2 does not work well with it, I compiled openssh-2.1.1p3.
Now it works well.
<p>I hope this can help these who work with IRIX and want to use SSH!
<p>William.
<pre>--&nbsp;
William Wei&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Tel: 1-416-946-7551
Faculty of Pharmacy&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Fax: 1-416-978-8511
19 Russell Street&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Email: william@phm.utoronto.ca
Toronto, ON. M6G 3P7
Canada.</pre>
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