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From: Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>
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To: ccl <chemistry@ccl.net>
Subject: size of s,p,d orbitals
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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

====================================================================


From chemistry-request@server.ccl.net Thu Oct  4 05:58:45 2001
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From: "Jens Spanget-Larsen" <jsl@virgil.ruc.dk>
Organization: Roskilde Universitetscenter
To: Ali Rashid <arashid@iqe.phys.ethz.ch>
Date: Thu, 4 Oct 2001 11:58:24 +0100
Subject: CCL:Linear dichroism.
CC: chemistry@ccl.net
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Ali Rashid:

> Hi, I was wandering if anyone knows of a way to simulate the 
> absorption spectra of a system. What i am interested in is, starting
> from a model of a molecules or molecules packed in a certain way,
> can i then calculate  things like the dichroic ratio and the linear
> dichroism?  Thank you in advance. --

Dear Ali,

In principle, transition energies, oscillator strengths and 
transition moment directions of molecular optical transitions can be 
predicted by quantum chemical calculations (the presence of molecular 
symmetry elements may be of great help in this task). It is then 
possible to predict the dichroic ratio and the linear dichroism of an 
assembly of molecules "packed in a certain way", since the resulting 
absorption probability is proportional to the cosine-squared of the 
angle between the individual moment directions and the electric 
vector of the linearly polarized light. See the volume by Michl and 
Thulstrup:

J. Michl, E. W. Thulstrup: "Spectroscopy with Polarized Light. Solute
Alignment by Photoselection, in Liquid Crystals, Polymers, and
Membranes", VCH Publishers 1986, 1995 (ISBN 1-56081-910-3).

Yours, Jens >--<

=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
JENS SPANGET-LARSEN         Office:     +45 4674 2710
Department of Chemistry     Fax:        +45 4674 3011
Roskilde University (RUC)   Cell-Phone: +45 2320 6246
P.O.Box 260                 E-Mail: JSL@virgil.ruc.dk
DK-4000 Roskilde, Denmark   http://virgil.ruc.dk/~jsl
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-


From chemistry-request@server.ccl.net Thu Oct  4 12:27:04 2001
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From: Mikael Johansson <mpjohans@pcu.helsinki.fi>
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To: Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>
cc: ccl <chemistry@ccl.net>
Subject: Re: CCL:size of s,p,d orbitals
In-Reply-To: <Pine.GSO.4.05.10110041436110.1346-100000@pinar>
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Hello Ulrike and All!

On Thu, 4 Oct 2001, Ulrike Salzner wrote:

> 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
[...]
> 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
[...]
> 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?

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


From chemistry-request@server.ccl.net Thu Oct  4 14:25:43 2001
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Date: Thu, 4 Oct 2001 13:39:13 -0500
To: Ulrike Salzner <salzner@fen.Bilkent.EDU.TR>, ccl <chemistry@ccl.net>
From: "Robert E. Harris" <HarrisR@missouri.edu>
Subject: Re: CCL:size of s,p,d orbitals

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


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

From chemistry-request@server.ccl.net Thu Oct  4 14:25:50 2001
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Date: Thu, 4 Oct 2001 13:23:26 -0500 (CDT)
From: Vemparala Satyavani <vani@reef.phys.lsu.edu>
To: chemistry@ccl.net
Subject: Coulomb forces in TIP4 model of water
Message-ID: <Pine.GSO.4.10.10110041319530.25619-100000@reef.phys.lsu.edu>
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Iam want ti use TIP4 model of water in my simulation. the question is:

as a result of moving the charge center from oxygen to another charge
center M, when the forecs are computed( by ewald method), i get the force
on that charge center, do i translate that force onto oxygen atom?

or to be more clear, in TIP4 model of water does oxygen atom of water
feels any force due to Coulomb(lets say Coulomb between polymer and water
molecules..will the oxygen of water feel any force due to coulomb from
polymer atom?

Thanks
vani


From chemistry-request@server.ccl.net Thu Oct  4 21:17:16 2001
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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>
Subject: Re: CCL:size of s,p,d orbitals
In-Reply-To: <Pine.GSO.4.05.10110041436110.1346-100000@pinar>
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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
> 
> ====================================================================
> 
> 
> -= This is automatically added to each message by mailing script =-
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> 
> 
> 


From chemistry-request@server.ccl.net Thu Oct  4 22:09:50 2001
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Date: Thu, 4 Oct 2001 21:03:53 -0500 (CDT)
From: Vemparala Satyavani <vani@baton.phys.lsu.edu>
To: chemistry@ccl.net
Subject: coulomb force contribution to oxygen atom in TIP4 model
Message-ID: <Pine.SUN.3.91.1011004205843.25479A-100000@baton.phys.lsu.edu>
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thanks for some replies i got, but the problem is i cannot go for any
prewritten software at this stage of my code, so i need to code this
myself.  Iam forwarding the question again, can anyone give me pointers as
to how to go about distributing coulomb force felt by the artificial
charge center to the 'oxygen' and 'hydrogen' atoms of hydrogen. 

and also should the bonds(OH,OH,OM,MH,MH), all the six of them be held rigid?


as a result of moving the charge center from oxygen to another charge
center M, when the forces are computed( by ewald method), i get the force
on that charge center, do i translate that force onto oxygen atom?

or to be more clear, in TIP4 model of water does oxygen atom of water
feels any force due to Coulomb(lets say Coulomb between polymer and water
molecules..will the oxygen of water feel any force due to coulomb from
polymer atom?

Thanks
vani



