From Jeffrey.Gosper@brunel.ac.uk  Fri May 30 06:45:41 1997
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Date: Fri, 30 May 1997 11:08:22 PDT
From: Jeffrey Gosper <Jeffrey.Gosper@brunel.ac.uk>
Subject: IRC calculations in G94
To: CHEMISTRY@www.ccl.net
cc: g@CCMSD.chem.uga.edu
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Dear computational chemists,

I am interested in running an IRC calculation using G94 from the transition state I have located for the 
conformational interconversion of the chair form of cyclohexane to the twist boat form. The TS has 
been fully optimised, at the HF/3-21 level, and has the required single negative frequency vibration. I 
would like to generate a number of structures between the TS and the chair and twist boat forms such 
that an animation of the minimum energy pathway can be constructed. We intend to write a program 
that will automatically generate a multi-sturucture XYZ file which can be animated in programs such 
as Re_View and XMOL.

I understand that one need to first run the frequency calculation and then run a second IRC which 
picks up the vibrational information from the checkpoint file. However although I have got the IRC 
calculations to initiate I find that either the terminate very prematurely or give a floating point error. I 
have been unable to get the calculation to run correctly and therefore seek the help of others with an 
interest in the field.

I was wondering whether someone with experience in running IRC in G94 would give this problem a 
try and let me know how they get one.  

The co-ordinates for the TS are:
6          -0.660342   -1.246230    0.390787
6           0.660268   -1.246262   -0.390799
6           1.523246   -0.069658    0.090007
6           0.773936    1.300076    0.128374
6          -1.523253   -0.069565   -0.089989
6          -0.773855    1.300121   -0.128379
1          -1.224971    1.962348    0.600721
1           0.955284    1.751374    1.096217
1           1.202366   -2.173622   -0.238374
1           1.865733   -0.307480    1.091827
1          -1.202496   -2.173555    0.238344
1          -2.407644    0.021190    0.530657
1          -0.955173    1.751411   -1.096232
1           1.225092    1.962259   -0.600741
1           0.450392   -1.159246   -1.453049
1           2.407662    0.021041   -0.530611
1          -0.450456   -1.159250    1.453038
1          -1.865789   -0.307361   -1.091798
 
Thanks again, and I look forward to hearing about your results.


/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
 Dr. Jeff Gosper, Dept. of Chemistry, BRUNEL University
 Uxbridge Middx UB8 3PH, UK
 voice:  01895 274000 x2187, facsim: 01895 256844
 internet/email/work:   Jeffrey.Gosper@brunel.ac.uk
 internet/WWW: http://www.brunel.ac.uk/~castjjg
 Re_View's home page (molecular animations or Chem-4D):
        http://www.brunel.ac.uk/depts/chem/ch241s/re_view/re_view.htm
\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/




From jorge@cosm.sc.edu  Fri May 30 07:45:49 1997
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Date: Fri, 30 May 1997 11:09:40 GMT
From: Jorge Seminario <jorge@cosm.sc.edu>
Message-Id: <199705301109.LAA22102@cosmos.psc.sc.edu>
To: chemistry@www.ccl.net
Subject: Rotation barrier, thermal enery
Cc: jorge@cosmos.psc.sc.edu


Dear CCL Members:
I am very indebted to all the members who sent their replies regarding my
question of rotation. I would like to make a small summary of
what I found out based on the information I obtained from the overwhelming
responses.

Let me rephrase the original question:
The molecule in question is tolane (diphenylacetylene, or diphenylethyne),
the interest focuses in the relative rotation of one phenyl group with
respect to the other. Evidently, this rotation is around the acethylene
triple bond.

Experiments are able to observe if a very small group of molecules
rotate, and probably are also able to quantify the number of rotating
molecules by, to make it short,  observing a current on a detector.
This current, in principle is proportional to the number of
molecules that are rotating. It is measured against changes in T from
close to 0 K to 300 K.

The current increases with very small slope from 0K to 30 K, at 30 K the
current jumps 3 to 4 orders of magnitude, then after
this "jump" (I said "sudden rotation" in my previous mail), again the
current increases with small slope.

As few ccl members already recalculated, the barrier for this rotation is
about 0.5 to 0.7 kcal/mol and the experimental value is 0.57 kcal/mol.
Therefore, there is not doubt about the calculations any more.

My inquiry also touched the validity of using kT (or a factor of it)
as the only energy available for the rotation (within the statistical
sense, i.e. understanding that still a very small fraction of molecules
are going to have enough energy to overpass a barrier 10 times bigger
than kT, and tunneling, etc).

Despite of several concerns against, I agree with several responses that
kT is not the whole story. Actually, as it was pointed out, the kT
argument makes no sense, otherwise ethane should not rotate till 1500 K.
We know that it rotates rapidly at 300 K.

I have been advised to use transition state theory for this process, and
also to treat it as a unimolecular reaction using RRKM theory.

However, what is not clear yet is why the jump at 30 K. Can it be
predicted theoretically? I am tempted to suggest, as several colleagues
have indicated, that the total thermal energy (which is one order of
magnitude bigger than kT) plays a role on this jump. Wether is the energy
of the rotational barrier alone or with the inclusion of the interactions
between adjacent molecules. This barrier have to be, at least, matched by
the total thermal energy so we can have the jump in rotations at the T
corresponding to the total thermal energy.

Your comments are more than welcome

Cordially
Jorge Seminario
--------------------------------------------
Jorge M. Seminario
Department of Chemistry and Biochemistry
University of South Carolina
Columbia, South Carolina 29208
Tel: 803-777-9567
Fax: 803-777-9521
email: jorge@cosm.sc.edu
-------------------------------------------- 

From jubert@nahuel.biol.unlp.edu.ar  Fri May 30 10:45:44 1997
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Date: Fri, 30 May 1997 11:16:15 -0300
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To: chemistry@www.ccl.net
From: jubert@nahuel.biol.unlp.edu.ar (Alicia Jubert)
Subject: normal vibrationnal calculations


I wonder whether somebody knows about a free program which, from the
gaussian output of a normal vibrational calculations, one could get the
potential energy distribution of the normal modes.

Please send the reply, if there is anyone, directly to my address.
        Thanks,

                        Alicia Jubert
                        jubert@nahuel.biol.unlp.edu.ar


From herrmann@hermes.informatik.uni-stuttgart.de  Fri May 30 10:52:56 1997
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Date: Fri, 30 May 1997 16:33:36 +0200
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From: Frank Herrmann <Herrmann@informatik.uni-stuttgart.de>
To: zjhu@IRIS3.shmm.ac.cn
CC: chemistry@www.ccl.net
In-reply-to: <9412210444.AA25514@IRIS3> (zjhu@IRIS3.shmm.ac.cn)
Subject: Re: software GA,NN,SA




Dear Hu,

You can find Genetic Algorithm software at the GA archives:

http://www.aic.nrl.navy.mil/galist

I have some more GA Links on my home page (see signature). There is a
Neural Network Simulator (SNNS) developed at our department:

http://www.informatik.uni-stuttgart.de/ipvr/bv/projekte/snns/snns.html

here are some Simulated Annealing links:

	<LI><A HREF="http://www.taygeta.com/annealing/simanneal.html">
	Simulated Annealing</A>
	<LI><A HREF="http://www.ingber.com/">
	Adaptive Simulated Annealing Lester Ingber</A>
	<LI><A HREF="http://www.sdsc.edu/~frost/Ebsa/WebTour/">
	Annealing & Optimization Web Tour</A>

hope this helps,

---------------------------------------------------------------------
           Frank Herrmann, Computer Scientist, PhD Student            
   Institute of Parallel and Distributed High-Performance Systems    
                   (IPVR) University of Stuttgart                     
                      Breitwiesenstrasse 20-22                        
                    D-70565 Stuttgart  (Germany)                      
           Tel: (49) 711-7816-358, FAX: (49) 711-7816-250            
          email: Frank.Herrmann@informatik.uni-stuttgart.de         
http://www.informatik.uni-stuttgart.de/ipvr/bv/personen/herrmann.html
---------------------------------------------------------------------
		- Future is alterable but unknown -
		- Past is known but unalterable   -
---------------------------------------------------------------------




From kotelyan@plmsc.psu.edu  Fri May 30 10:59:59 1997
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Date: Fri, 30 May 1997 10:03:06 -0400 (EDT)
From: Mike Kotelyanskii <kotelyan@planck.plmsc.psu.edu>
To: Jorge Seminario <jorge@cosm.sc.edu>
cc: chemistry@www.ccl.net, jorge@cosmos.psc.sc.edu
Subject: Re: CCL:Rotation barrier, thermal enery
In-Reply-To: <199705301109.LAA22102@cosmos.psc.sc.edu>
Message-ID: <Pine.SUN.3.91.970530095606.22650B-100000@planck>
MIME-Version: 1.0
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First, let me clarify what you are implying is that
the energy can be "consolidated" from the other degtrees of freedom to
overcome the barrier? Well it is possible, but is apparently improbable.
Otherwise a stone lying on the road would be able to jump up, and pretty 
high. It's thermal energy is enough to overcome it's gravity.
Doesn't happen though. This justifies the Arrhenius approach.
It's kT that gives you a possibility to overcome the barrier.
Another contribution is "entropic" and is given by the preexponent
in the Transition State theory.

Do I understand correctly that the experiment is done in condensed phase
(probably solid as I can judge form the temperatures you mention)
Then I would assume this 30K jump may come from some sort of
structural or other phase transition.
May be I am wrong but can it be the insulator - semiconductor transition?
In both cases, current increases with the temperature (opposit to 
conductors), but current in semiconductor is higher than in insulator
(provided, the same voltage is applied)

May be this helps...
Michael

-------------------------------------------------------------------------------
Michael J. Kotelyanskii				Phone (814) 863 43 81
Polymer Science Program				FAX   (814) 865 29 17
Department of Materials Science and
Engineering                                     kotelyan@plmsc.psu.edu
Pennsilvania State University
University Park, PA 16802, USA
--------------------------------------------------------------------------------

On Fri, 30 May 1997, Jorge Seminario wrote:

> Dear CCL Members:
> I am very indebted to all the members who sent their replies regarding my
> question of rotation. I would like to make a small summary of
> what I found out based on the information I obtained from the overwhelming
> responses.
> 
> Let me rephrase the original question:
> The molecule in question is tolane (diphenylacetylene, or diphenylethyne),
> the interest focuses in the relative rotation of one phenyl group with
> respect to the other. Evidently, this rotation is around the acethylene
> triple bond.
> 
> Experiments are able to observe if a very small group of molecules
> rotate, and probably are also able to quantify the number of rotating
> molecules by, to make it short,  observing a current on a detector.
> This current, in principle is proportional to the number of
> molecules that are rotating. It is measured against changes in T from
> close to 0 K to 300 K.
> 
> The current increases with very small slope from 0K to 30 K, at 30 K the
> current jumps 3 to 4 orders of magnitude, then after
> this "jump" (I said "sudden rotation" in my previous mail), again the
> current increases with small slope.
> 
> As few ccl members already recalculated, the barrier for this rotation is
> about 0.5 to 0.7 kcal/mol and the experimental value is 0.57 kcal/mol.
> Therefore, there is not doubt about the calculations any more.
> 
> My inquiry also touched the validity of using kT (or a factor of it)
> as the only energy available for the rotation (within the statistical
> sense, i.e. understanding that still a very small fraction of molecules
> are going to have enough energy to overpass a barrier 10 times bigger
> than kT, and tunneling, etc).
> 
> Despite of several concerns against, I agree with several responses that
> kT is not the whole story. Actually, as it was pointed out, the kT
> argument makes no sense, otherwise ethane should not rotate till 1500 K.
> We know that it rotates rapidly at 300 K.
> 
> I have been advised to use transition state theory for this process, and
> also to treat it as a unimolecular reaction using RRKM theory.
> 
> However, what is not clear yet is why the jump at 30 K. Can it be
> predicted theoretically? I am tempted to suggest, as several colleagues
> have indicated, that the total thermal energy (which is one order of
> magnitude bigger than kT) plays a role on this jump. Wether is the energy
> of the rotational barrier alone or with the inclusion of the interactions
> between adjacent molecules. This barrier have to be, at least, matched by
> the total thermal energy so we can have the jump in rotations at the T
> corresponding to the total thermal energy.
> 
> Your comments are more than welcome
> 
> Cordially
> Jorge Seminario
> --------------------------------------------
> Jorge M. Seminario
> Department of Chemistry and Biochemistry
> University of South Carolina
> Columbia, South Carolina 29208
> Tel: 803-777-9567
> Fax: 803-777-9521
> email: jorge@cosm.sc.edu
> -------------------------------------------- 
> 
> -------This is added Automatically by the Software--------
> -- Original Sender Envelope Address: jorge@cosm.sc.edu
> -- Original Sender From: Address: jorge@cosm.sc.edu
> CHEMISTRY@www.ccl.net: Everybody | CHEMISTRY-REQUEST@www.ccl.net: Coordinator
> MAILSERV@www.ccl.net: HELP CHEMISTRY or HELP SEARCH | Gopher: www.ccl.net 73
> Anon. ftp: www.ccl.net   | CHEMISTRY-SEARCH@www.ccl.net -- archive search
>              Web: http://www.ccl.net/chemistry.html 
> 
> 

From Y0H8797@VMS1.TAMU.EDU  Fri May 30 12:45:47 1997
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Date: Fri, 30 May 1997 11:28:00 -0500
From: YONG HUANG <Y0H8797@ACS.TAMU.EDU>
To: CHEMISTRY@www.ccl.net
Message-Id: <970530112800.20261286@ACS.TAMU.EDU>
Subject: Any review of radical scavenger and triplet quencher?


Howdy, does anybody know a review of radical scavengers and triplet quenchers? 
Thank you for your help.

Yong

From govindan@chet.medc.umn.edu  Fri May 30 12:51:26 1997
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From: Govindan Subramanian <govindan@chet.medc.umn.edu>
Message-Id: <199705301620.LAA03622@chet.medc.umn.edu>
Subject: AMBER chlorine parameters
To: chemistry@www.ccl.net
Date: Fri, 30 May 1997 11:20:34 -0500 (CDT)
X-Mailer: ELM [version 2.4 PL25]
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Hai CCLers,
	I have chlorines as part of 3,4-dichloro tolyl moiety in my molecule.  Could
anyone help me out in getting the appropriate chlorine parameters which are not 
available in the parm94.dat of AMBER4.1  (I do not want to use the 'IM' values given
for Cl- there).  Thanks in advance.
-subramanian.g

e-mail:  govindan@chet.medc.umn.edu

From hillisch@imb-jena.de  Fri May 30 12:54:43 1997
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From: "Alexander Hillisch" <hillisch@imb-jena.de>
Message-Id: <9705301828.ZM27552@guiness.imb-jena.de>
Date: Fri, 30 May 1997 18:28:36 -0600
X-Mailer: Z-Mail (3.2.3 08feb96 MediaMail)
To: CHEMISTRY@www.ccl.net
Subject: PLS algorithm
Mime-Version: 1.0
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Zhengjian Hu wrote:
> Dear CCL users,
>
>   I have been trying to do some QSAR but I have no proper softwares.
> I wonder if you could tell me how and where I can get the source code for
> the following programs:
>   1. Genetic algorithm
>   2. Neural network
>   3. Partial least squares
>   4. Non-linear partial least squares
>   5. Simulated annealing algorithm
>-- End of excerpt from Zhengjian Hu

Hallo Hu,

Concerning the PLS algorithm have a look at:

http://www.galactic.com/galactic/Science/pls.htm

Best regards,

Alexander Hillisch

-- 
_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/
_/ Alexander Hillisch                                               _/      
_/ Institute of Molecular Biotechnology                             _/
_/ Department of Molecular Biology                                  _/     
_/ Beutenbergstrasse 11                Phone: +49-3641-65-6203      _/
_/ D-07745 Jena                        Fax:   +49-3641-65-6210      _/ 
_/ GERMANY                             Email: hillisch@imb-jena.de  _/
_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/
_/ "And all this science I don't understand it's just my job five   _/
_/  days a week..."                                                 _/
_/                                    Elton John - Rocket man       _/
_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/

From hillisch@imb-jena.de  Fri May 30 12:57:51 1997
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From: "Alexander Hillisch" <hillisch@imb-jena.de>
Message-Id: <9705301821.ZM27530@guiness.imb-jena.de>
Date: Fri, 30 May 1997 18:21:57 -0600
In-Reply-To: zjhu@IRIS3.shmm.ac.cn (Zhengjian Hu)
        "" (Dec 20,  8:44pm)
References: <9412210444.AA25514@IRIS3>
X-Mailer: Z-Mail (3.2.3 08feb96 MediaMail)
To: zjhu@IRIS3.shmm.ac.cn (Zhengjian Hu), chemistry@www.ccl.net
Subject: PLS algorithm
Mime-Version: 1.0
Content-Type: text/plain; charset=us-ascii


On Dec 20,  8:44pm, Zhengjian Hu wrote:
> Dear CCL users,
>
>   I have been trying to do some QSAR but I have no proper softwares.
> I wonder if you could tell me how and where I can get the source code for
> the following programs:
>   1. Genetic algorithm
>   2. Neural network
>   3. Partial least squares
>   4. Non-linear partial least squares
>   5. Simulated annealing algorithm
>-- End of excerpt from Zhengjian Hu

Hallo Hu,

Concerning the PLS algorithm have a look at:

http://www.galactic.com/galactic/Science/pls.htm

Best regards,

Alexander Hillisch


-- 
_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/
_/ Alexander Hillisch                                               _/      
_/ Institute of Molecular Biotechnology                             _/
_/ Department of Molecular Biology                                  _/     
_/ Beutenbergstrasse 11                Phone: +49-3641-65-6203      _/
_/ D-07745 Jena                        Fax:   +49-3641-65-6210      _/ 
_/ GERMANY                             Email: hillisch@imb-jena.de  _/
_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/
_/ "And all this science I don't understand it's just my job five   _/
_/  days a week..."                                                 _/
_/                                    Elton John - Rocket man       _/
_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/

From qibvigap@lg.ehu.es  Fri May 30 13:45:50 1997
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	id AA21246; Fri, 30 May 97 19:02:19 +0100
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Date: Fri, 30 May 1997 19:12:43 +0100 (WET DST)
From: Pablo Vitoria Garcia <qibvigap@lg.ehu.es>
X-Sender: qibvigap@lgdx02
To: ccl <CHEMISTRY@www.ccl.net>
Subject:  Second Order Perturbation Theory Analysis in NBO in G94
Message-Id: <Pine.ULT.3.91.970530190653.15812A-100000@lgdx02>
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Hi,

Recently I've trying to learn how to use and interpret the NBO analysis 
available in G94. But I cannot make the program to do a Perturbation 
Analysis of the Natural Bonding Orbitals. Since the use of NBO is not 
explained in the G94 Manual, could anyone help me with this?

Thanks a lot

Pablo


--------------------------------------------------------------------------------
Pablo Vitoria Garcia 
Departamento de Quimica Inorganica, Facultad de Ciencias
Universidad del Pais Vasco (UPV/EHU)
Apartado 644, E-48080 Bilbao
SPAIN
e-mail: qibvigap@lgdx02.lg.ehu.es
Phone: +34 4 4647700 Ext. 2450
--------------------------------------------------------------------------------


From shenkin@still3.chem.columbia.edu  Fri May 30 16:45:50 1997
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From: "Peter Shenkin" <shenkin@still3.chem.columbia.edu>
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Date: Fri, 30 May 1997 15:48:20 -0400
In-Reply-To: Mike Kotelyanskii <kotelyan@planck.plmsc.psu.edu>
        "CCL:Rotation barrier, thermal enery" (May 30, 10:03am)
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On May 30, 10:03am, Mike Kotelyanskii wrote:
> Subject: CCL:Rotation barrier, thermal enery

> Do I understand correctly that the experiment is done in condensed phase
> (probably solid as I can judge form the temperatures you mention)
> Then I would assume this 30K jump may come from some sort of
> structural or other phase transition.

Yes.  In addition to everything else that's been said, it could be
an order-disorder transition, and not a unimolecular activated process.
In this situation, thermodynamic measurements, like the volume, or
heat capacity as a function of time, should be revealing.

The question is:  does the temperature dependence follow Arrhenius
behavior (log k vs. 1/T is a straight line).  If not, then other
possibilities should be considered.

	-P.




-- 
**** "Deep Blue can't triumph in the game of life" (NY Times, 5/13/97) ****
* Peter S. Shenkin; Chemistry, Columbia U.; 3000 Broadway, Mail Code 3153 *
** NY, NY  10027;  shenkin@columbia.edu;  (212)854-5143;  FAX: 678-9039 ***
*MacroModel WWW page: http://www.columbia.edu/cu/chemistry/mmod/mmod.html *

From T.Somasundaram@qub.ac.uk  Fri May 30 19:45:46 1997
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Hello Dear Cyber Chemists,

During an MD simulation, which is thermostated with Nose-Hoover, is the
total momentum of the system conserved?

Also how about angular momentum in slabs?

Are there special cases such as pure systems/mixture bulk/slab?

Thank you for you patience. Any replies will be appreciated.
Theepa.
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From chemistry-request@www.ccl.net Tue May  6 23:49 EDT 1997
Date: Tue, 6 May 1997 10:53:04 -0400 (EDT)
From: Ajith Perera <perera@qtp.ufl.edu>
Reply-To: Ajith Perera <perera@qtp.ufl.edu>
Subject: CCL:97.06.15 50 Years of the Correlation Problem
To: chemistry@www.ccl.net
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Sender: chemistry-request@www.ccl.net



             "FIFTY YEARS OF THE CORRELATION PROBLEM"
      A WORKSHOP ON COUPLED-CLUSTER THEORY AND OTHER CORRELATED METHODS
                     (Cedar Key, Fl., june 15-19, 1997)
                     
                     
This is the final notice for the above, one-of-a-kind meeting on Electron
Correlation. This meeting will bring together the pioneers and the current
principal practitioners of correlated methods in molecular electronic 
structure and spectra, plus applications to polymers and crystals, and
related atomic and field theory applications (schedule can be found in
the postscript file at ftp://www.ccl.net/pub/chemistry/info/50yrs.ps).
Cedar Key, Fl, an island on the Gulf of Mexico, 60 miles from Gainesville,
is the unique, rustic location for the meeting. There is still room for
several more attendees. If interested, please consult our web site at
http://www.qtp.ufl.edu/cct.html, and please contact zeynep@qtp.ufl.edu
as soon as possible for a reservation.  


Thank you. 


Rod Bartlett, Graduate Research Professor, Quantum Theory Project, University 
Florida, Gainesville, FL, 32611; bartlett@qtp.ufl.edu; phone 352-392-6974.    

From assfeld@host8.lctn.u-nancy.fr Tue May 13 05:23 EDT 1997
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Subject: Chemical Shift Anisotropy Summary
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Howdy,

few weeks ago I posted a request on CCL about NMR chemical shift anisotropy.
Here is my previous message :

>
> Hi,
>
> I am computing chemical shielding tensor for various molecule.
> Once you diagonalyze this tensor you can expressed the
> isotropic chemical shield as the average of the three eigenvalues
> (Txx, Tyy, and Tzz). You can also compute the anisotropy, which
> is the difference between the larger eigenvalue (generally called
> Tzz) and the average of the two other.
>
>         Iso = 1/3 (Txx + Tyy + Tzz)
>         Ani = Tzz - 1/2 (Txx + Tyy)
>
> Everything is fine with me when all three eigenvalues have the same signe.
> Problem arises when one eigenvalue is negative.
> For exemple, here are three eigenvalues : -76.8050  6.2091  62.8089
> If you consider that Tzz = 62.8089 you'll find an anisotropy of
>         62.8089-(6.2091-76.8050)/2 = 98.1069
> However, if you consider that Tzz = -76.8050, (In absolute value 76.8050 is
> larger than 62.8089.) the anisotropy = -111.3140
>
> My question : which one is the good choice ?
> I already know that G94 use the first definition.
>
> Thank you in advance for your advice. I'll summarize.

I received three messages from

Dr. Georg Schreckenbach      <schrecke@t12.lanl.gov>
Jerry C.C. Chan              <chan@uni-muenster.de>
Ernst U. Wallenborn          <wallenborn@phys.chem.ethz.ch>

I thank them very much.

****************************************************************************

FIRST ANSWER   Dr. Georg Schreckenbach      <schrecke@t12.lanl.gov>

I am pretty convinced that your "first" definition is correct. There is
no good rationale for using absolute values of shielding, I think. Rather,
the signs are important.

****************************************************************************

SECOND ANSWER  Jerry C.C. Chan              <chan@uni-muenster.de>

	I think you should follow the convention suggested by the
participants, the leading experts of the field, in the 1992 NATO
conference.  See Mason J., Solid State NMR 1993, vol 2, 285-288.

****************************************************************************

THIRD ANSWER   Ernst U. Wallenborn          <wallenborn@phys.chem.ethz.ch>

I think this is buggy in g94. For example benzene
#RHF 6-311++G** NMR=ALL using the Landolt-Boernstein
geometry yields

     Magnetic properties (CSGT method)

 Magnetic susceptibility (cgs-ppm):
   Isotropic =   -56.4462   Anisotropy=    35.1962
   XX=   -32.9831   YX=     0.0000   ZX=     0.0000
   XY=     0.0000   YY=   -32.9820   ZY=     0.0000
   XZ=     0.0000   YZ=     0.0000   ZZ=  -103.3734
   Eigenvalues:  -103.3734   -32.9831   -32.9820

Here it is unambiguously clear what is meant with
anisotropy, namely -103.3734+.5*(32.9831+32.9820)

With this definition one obtains (in cgs-ppm)

	RHF 6-311++G**     F&S
	CSGT            Single gauge origin
X_par   -103.37         -109.9
X_ortho  -32.98          -41.8
iso:     -56.44          -64.5
aniso:   -70.39          -68.1


where F&S is Fowler and Steiner, J. Phys. Chem. A
_101_ 1409 (1997), who used the SYSMO package
and hence provide completely independent results
for comparison and par and ortho mean parallel
and orthogonal to the principal axis of symmetry.


>From this it seems to be clear that g94 produces
nonsenical results.

To the original question: The definition of the
anisotropy should be independent of the oriantation
of the coordinate system to avoid above confusion.
Herzberg, Molecular Spectra and Molecular Structure,
Vol II, Infrared and Raman Spectra of Polyatomic Molecules
Van Nostrand, 1945 suggests (Eq. (III,20)) to define
the anisotropy of the polarizability tensor as

b = sqrt(1/2[(a_xx-a_yy)^2+(a_yy-a_zz)^2+
	(a_zz-a_xx)^2+6(a_xy^2+a_yz^2+a_xz^2)])

which in the case of a symmetric top reduces to
the definition given by you. I'd use this definition
and not bother about what g94 says.

****************************************************************************

I found that the two definitions I gave in my previous message are corrects,
and that they depend on a third parameter, the ASYMMETRY (eta). The
asymmetry of a tensor must ALWAYS be less or equal to one.
The definition is : (Considering that Tzz > Tyy > Txx)

Eta = 3/2 (Tyy - Txx)/Ani              (1)
or
Eta = 3/2 (Tyy - Tzz)/Ani              (2)

The right equation is the one which gives a number less or equal to one.
Thus the anisotropy is equal to

Ani = Tzz - 1/2 (Txx + Tyy)             (1')
or
Ani = Txx - 1/2 (Tyy + Tzz)             (2')

Equation (1') goes with equation (1) and equation (2') with (2).

Iso = 1/3 (Txx + Tyy + Tzz)

To determine the set of equations to be used, one has to calculate
|Tzz - Iso| and |Txx - Iso| (|a-b| means absolute value of a-b) and one has
to compare these two values. If |Tzz - Iso| >= |Txx - Iso| then use the set
of equations (1) and (1') otherwise use the second set (2) and (2').
Note that if Tyy = Iso, then Eta = 1.

With NMR longitudinal relaxation times T1 experiment one obtain a value
equal to :

Exp = Ani * Ani * (1 + (Eta * Eta)/3)

which is independant of the set of equations used to determine Ani and Eta.
It is noteworthy that the final equation has exactly the same mathematical
form as the one given by Wallenborn (Third answer) for the anisotropy of the
polarizability tensor.

I hope that this summary gives some enlightment on this field. Thus one
is aware that the value given in G94 output files doesn't correspond to the
right answer immediatly.

							...Xav

Xavier Assfeld                          <assfeld@lctn.u-nancy.fr>
Laboratoire de Chimie Theorique
Universite Henri Poincare, Nancy, France




