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Subject: Re: CCL:constrained multiple linear regression
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On Monday, December 2, 2002, at 07:08  PM, james.metz@abbott.com wrote:

>         I am looking for software (preferably free or inexpensive, code 
> is OK) that will allow me to perform
> constrained multiple linear regression.  For example, I have an 
> equation of the form:
>         Y = a*X1 + b*X2 + c*X3 + d

I'm not certain if constrained regression is part of the base package, 
but I'd assume that the R statistical package can do this (among many, 
many other types of regression and other things). R is free and has been 
able to handle lots of thorny statistical problems I've thrown at it.

http://www.r-project.org/

>         I must be able to constrain the range of values for a, b, c, 
> and d during the fitting.

You might also try contacting the R project mailing list:
r-help@lists.R-project.org

--
-Geoff Hutchison	<hutchisn@chem.northwestern.edu>
Ratner/Marks Groups	(847) 491-3295
Northwestern Chemistry	http://www.chem.northwestern.edu/



From chemistry-request@server.ccl.net Tue Dec  3 03:09:54 2002
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Date: Tue, 3 Dec 2002 09:09:45 +0100 (MET)
From: Jana Precechtelova <janap@ncbr.chemi.muni.cz>
To: "CCL.NET" <chemistry@ccl.net>
Subject: CCL:g98-big displacement during the optimization
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Dear CCL,
does anyone have any idea conserning this problem?:

     I`m trying to perform a geometry optimization of a guanosine-cytidine
     base pair in G98 during which I freeze heavy atoms and optimize
     hydrogens (starting geometry is taken from experiment) but the
     problem is, even in the very first step of the optimization, the
     maximum displacement is terribly big and this remains the same during
     the whole optimization (see below the summary of the first step),
     which finally causes terminating of the opt. because of exceeding the
     number of steps.

1st step:
             Item               Value     Threshold  Converged?
     Maximum Force            0.018320     0.000450     NO
     RMS     Force            0.004048     0.000300     NO
     Maximum Displacement     ********     0.001800     NO
     RMS     Displacement     8.056732     0.001200     NO

last step:
             Item               Value     Threshold  Converged?
     Maximum Force            0.000973     0.000450     NO
     RMS     Force            0.000259     0.000300     YES
     Maximum Displacement     ********     0.001800     NO
     RMS     Displacement     8.058591     0.001200     NO
     Predicted change in Energy=-1.508882D+03
     Optimization stopped.
      -- Number of steps exceeded,  NStep= 171

Thanks for any hint,
Jana Precechtelova

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Jana Precechtelova (MSc. student)
NMR Laboratory
National Centre for Biomolecular Research (NCBR)
Faculty of Science, Masaryk University
Kotlarska 2, 611 37 Brno, Czech Republic

email: janap@ncbr.chemi.muni.cz
phone: +420-5-41129588
fax: +420-5-411 29 506
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


From chemistry-request@server.ccl.net Tue Dec  3 04:14:26 2002
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Thanks to Mikael for the reply,

I'm using PC GAMESS
and doing 6-31 HF calculation. 

The beaviour of system and final structure better corresponds to crystal 
structure of the protein if the Cartesians are used. 

-- 
Sincerely yours,

Ph.D. Student Dmitry Kovalsky
Institute of Molecular Biology & Genetics
150 Akad. Zabolotnogo Street,
Kiev-143, 03143
UKRAINE

E-mail: dikov@imbg.org.ua
Fax:  +380 (44) 266-0759
Tel.: +380 (44) 266-5589



From chemistry-request@server.ccl.net Tue Dec  3 07:14:02 2002
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Date: Tue,  3 Dec 2002 07:13:58 -0500
From: "William R. Smith" <bilsmith@uoguelph.ca>
To: james.metz@abbott.com
Cc: chemistry@ccl.net
Subject: Re: CCL:constrained multiple linear regression
References: <OF054C59F9.EB41DCF8-ON86256C84.00055726@northamerica.intra.abbott.com>
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If you get stuck and can't find a stats package to do this, you are looking at 
a "nonlinear optimization problem" in general.  Regression can be viewed as a special 
case of nonlinear optimization, and you should be able to find something in the 
literature of that field.

If you use a least squares criterion, your problem is a "quadratic programming problem", 
and algorithms exist to solve it.  

For constrained problems like yours, a trick that sometimes works is to incorporating the 
constraints into a new expression, resulting in an unconstrained optimization problem 
(which many packages can handle).  For your example, introduce the new (nonlinear) 
variable a1 and set

a = a0 + (\epsilon_a)*sin(a1)

where a0 is the mid-point of the constrained interval for a and \epsilon_a is its half-
width.  a1 is then the new nonlinear parameter.  


Quoting james.metz@abbott.com:

> CCL,
> 
>         I am looking for software (preferably free or inexpensive, code is 
> OK) that will allow me to perform
> constrained multiple linear regression.  For example, I have an equation 
> of the form:
> 
>         Y = a*X1 + b*X2 + c*X3 + d
> 
>         where: Y is the dependent variable
>                   X1 - X3 are independent variables (more than 1)
>                 a, b, c are coefficients
>                         d is a constant
> 
>         I must be able to constrain the range of values for a, b, c, and d 
> during the fitting.
> 
>         Please note that programs such as JMP, KalediaGraph, GraphPad 
> Prism, and several other packages do 
> NOT allow the user to do this, especially for more than one independent 
> variable.
> 
>         Can someone suggest a program or code to do this?
> 
>         Thank you,
>         Jim Metz
> 
> 
> James T. Metz, Ph.D.
> Research Investigator Chemist
> 
> GPRD R46Y AP10-2
> Abbott Laboratories
> 100 Abbott Park Road
> Abbott Park, IL  60064-6100
> U.S.A.
> 
> Office (847) 936 - 0441
> FAX    (847) 935 - 0548
> 
> james.metz@abbott.com
> 


-- 
Best Regards,

W. R. Smith, Professor
Dept. of Mathematics and Statistics, and School of Engineering
Room 546 MacNaughton Building
University of Guelph
Stone Road and Gordon Streets
Guelph, Ontario, CANADA N1G 2W1
Tel: 519-824-4120, ext. 3038; FAX: 519-837-0221; 
http://www.mathstat.uoguelph.ca/faculty/smith/


From chemistry-request@server.ccl.net Tue Dec  3 09:39:48 2002
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Date: Tue, 3 Dec 2002 15:37:47 +0100
From: Anan Wu <anan@Theoc.GU.SE>
To: james.metz@abbott.com
cc: chemistry@ccl.net
Subject: Re: CCL:constrained multiple linear regression
In-Reply-To: <OF054C59F9.EB41DCF8-ON86256C84.00055726@northamerica.intra.abbott.com>
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If you can get access to Matlab, you will find a function called 
"fmincon". It fits into your problem very well. 


Anan Wu



> CCL,
> 
>         I am looking for software (preferably free or inexpensive, code is 
> OK) that will allow me to perform
> constrained multiple linear regression.  For example, I have an equation 
> of the form:
> 
>         Y = a*X1 + b*X2 + c*X3 + d
> 
>         where: Y is the dependent variable
>                   X1 - X3 are independent variables (more than 1)
>                 a, b, c are coefficients
>                         d is a constant
> 
>         I must be able to constrain the range of values for a, b, c, and d 
> during the fitting.
> 
>         Please note that programs such as JMP, KalediaGraph, GraphPad 
> Prism, and several other packages do 
> NOT allow the user to do this, especially for more than one independent 
> variable.
> 
>         Can someone suggest a program or code to do this?
> 
>         Thank you,
>         Jim Metz
> 
> 
> James T. Metz, Ph.D.
> Research Investigator Chemist
> 
> GPRD R46Y AP10-2
> Abbott Laboratories
> 100 Abbott Park Road
> Abbott Park, IL  60064-6100
> U.S.A.
> 
> Office (847) 936 - 0441
> FAX    (847) 935 - 0548
> 
> james.metz@abbott.com
> 



From chemistry-request@server.ccl.net Tue Dec  3 10:12:09 2002
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Subject: Lanthanide ECP/Basis set
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Dear All,  
Dear Guenter Klatt, Rudolf Herrmann, Matt Thompson, Mark Russell,  
  
Concerning the HF SCF convergence problem of my Lanthanide derivative, it  
seems to depend on the starting structure. Using the ECP and Basis Set found  
in the following article: Cundari & Stevens,  J.Chem.Phys. (1993) 98,  
5555-5565, I wonder questions on the published Basis Set and its use in 
GAMESS...  
  
In GAMESS, this can be accomplished by using the "SBKJC" keyword to read the  
corresponding ECP and Basis set. I used the following input:  
GAMESS input:  
 $CONTRL ECP=READ       $END  
 $BASIS  GBASIS=SBKJC   $END  
 $DATA  
 Samarium  
 C1  
Sm  62.0     0.00200  -0.10530   0.07010  
etc...  
 $END  
 $ECP  
Sm-ECP SBKJC  
etc...  
 $END  
  
I get the following information concerning the Samarium Basis Set used in the  
calculations (in the corresponding GAMESS ouput):  
....  
 SHELL TYPE PRIMITIVE    EXPONENT          CONTRACTION COEFFICIENTS  
 SM          
   1   L    1            12.6100000     -0.014999600000     -0.031579400944  
   1   L    2             3.2780000      0.718778800020      0.509098815215  
   1   L    3             2.2380000     -1.678150000046     -1.464062443754  
  
   2   L    4             0.8661000      1.000000000000      1.000000000000  
  
   3   L    5             0.3374000      1.000000000000      1.000000000000  
  
   4   L    6             0.0773200      1.000000000000      1.000000000000  
  
   5   D    7             0.7851000      0.379417690646  
   5   D    8             0.3622000      0.676914983311  
  
   6   D    9             0.1573000      1.000000000000  
  
   7   F   10            83.7600000      0.012467499970  
   7   F   11            30.5400000      0.087561599790  
   7   F   12            13.1600000      0.240539399422  
   7   F   13             5.7300000      0.420513498990  
   7   F   14             2.5850000      0.473468698863  
  
   8   F   15             1.1340000      0.747380677845  
   8   F   16             0.4445000      0.346313389734  
...  
  
I am quite surprised because the gaussians corresponding to D and F are NOT  
those found in the ORIGINAL paper i.e. in   
Cundari & Stevens,  J.Chem.Phys. (1993) 98, page 5561. Moreover, I did not  
find in the GAMESS documentation some information for this modification.   
  
Now, if I built a new GAMESS input using the original publication values (i.e.  
without using the "SBKJC" keyword), GAMESS crashed:  
Here is my new input, writing the original D & F values:  
 $CONTRL ECP=READ    $END  
 $SYSTEM MWORDS=2    $END  
 $DATA  
 Samarium  
 C1  
 Sm  62.0     0.00200  -0.10530   0.07010  
  L    3  
   1            12.6100000     -0.014999600000     -0.031579400944  
   2             3.2780000      0.718778800020      0.509098815215  
   3             2.2380000     -1.678150000046     -1.464062443754  
  L    1  
   1             0.8661000      1.000000000000      1.000000000000  
  L    1  
   1             0.3374000      1.000000000000      1.000000000000  
  L    1  
   1             0.0773200      1.000000000000      1.000000000000  
  D    3  
   1             0.7851000      0.257405300000  
   2             0.3622000      0.459234000000  
   3             0.1573000      0.419376700000  
  F   7  
   1            83.7600000      0.009831000000  
   2            30.5400000      0.069045100000  
   3            13.1600000      0.189673000000  
   4             5.7300000      0.331588300000  
   5             2.5850000      0.373345200000  
   6             1.1340000      0.286865900000  
   7             0.4445000      0.132924900000  
...  
 $END  
 $ECP  
Sm-ECP GEN 46    3  
  2      ----- F POTENTIAL     -----  
   -15.65862010        1       11.75812390  
    -6.05376496        1        2.32808297  
  3      ----- S-F POTENTIAL   -----  
  -206.06726600        2        2.37776611  
   270.34259800        2        2.52471590  
    11.44490440        0       10.26438980  
  3      ----- P-F POTENTIAL   -----  
    10.69510070        0       10.00542360  
   121.87722800        2        2.20124125       
   -72.78839030        2        1.96809283  
  2      ----- D-F POTENTIAL   -----  
    29.52394000        2        2.06720439  
     9.03717701        0        6.71288904         
...  
 $END  
  
Here is the crash message in the GAMESS ouput:  
 ITER EX DEM    TOTAL ENERGY       E CHANGE  DENSITY CHANGE     ORB. GRAD  
   1  0  0      -64.893260505   -64.893260505  69.831488803   0.000000000  
          ---------------START SECOND ORDER SCF---------------  
   2  1  0      -38.064608925    26.828651581  56.444391313   0.714518144  
 SOSCF IS SCALING ROTATION ANGLE MATRIX, SQCDF=    0.199272  
   3  2  0      -44.283436820    -6.218827895 145.607000511   1.708186090  
   4  3  0      -40.786862178     3.496574642 121.005517556   1.274669095  
 SOSCF IS SCALING ROTATION ANGLE MATRIX, SQCDF=    0.104350  
   5  4  0      -46.700203112    -5.913340934  79.885738711   1.694913910  
 SOSCF ENCOUNTERS A SERIOUS PROBLEM IN -SONEWT-  
 THE ROTATION ANGLE VECTOR HAS A HUGE NORM, SQCDF=   3.207E+00  
 REEXAMINE STARTING VECTORS, APPROPRIATENESS OF YOUR SCFTYP, ETC...  
 EXECUTION OF GAMESS TERMINATED -ABNORMALLY- AT Sun Dec  1 11:38:19 2002  
       453971 WORDS OF DYNAMIC MEMORY USED  
 STEP CPU TIME =     0.78 TOTAL CPU TIME =        5.5 (    0.1 MIN)  
 TOTAL WALL CLOCK TIME=        7.2 SECONDS, CPU UTILIZATION IS  76.71%  
 *** ERROR TERMINATION *** IN COMPUTE PROCESS     0  
  
Why the GAMESS default values for D & F gaussians are NOT those that are  
published by Cundari et al.?  
Why does GAMESS crash with the original Cundari et al. values ?  
(I guess both problems are linked, the problem is that I did NOT find any  
information in the GAMESS documentation detailing this)  
  
Thanks, Regards, Francois  
  
  
  
  
  
  

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From: Keith Taylor <K.Taylor@mdl.com>
To: Computational Chemistry List <chemistry@ccl.net>
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If you use molfiles to transport structure information between applications,
you need to be aware that MDL is introducing an enhancement to its
stereochemical representation and this has an impact on the format of the
molfile.  The enhanced stereochemical representation will require the use of
V3000 format molfiles and your molfile readers and writers will need to be
updated to handle this information.

MDL publishes the molfile format and the latest version of the document
(August 2002) can be downloaded from:
http://www.mdl.com/downloads/ctfile/ctfile_subs.html

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To: CCL <chemistry@ccl.net>, amber <amber@heimdal.compchem.ucsf.edu>
Subject: freeware for RNA modeling on Linux
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Does anyone know a good freeware (or cheap software --academic use) for 
RNA modeling.
I have an RNA stem and I would like to attach a loop to it.
Thanks alot,
vlad

-- 
Vlad Cojocaru 
Max Planck Institute for Biophysical Chemistry 
Department: 060 
Am Fassberg 11, 37077 Goettingen, Germany 
tel: ++49-551-201.1389 
e-mail: Vlad.Cojocaru@mpi-bpc.mpg.de
home tel: ++49-551-9963204  




From chemistry-request@server.ccl.net Tue Dec  3 13:49:36 2002
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From: "Peter Gannett" <pgannett@hsc.wvu.edu>
To: <chemistry@ccl.net>, <amber@heimdal.compchem.ucsf.edu>,
   <Vlad.Cojocaru@mpi-bpc.mpg.de>
Subject: Re: CCL:freeware for RNA modeling on Linux
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Vlad:

I'm not sure what you mean...

If you mean building the RNA you might look at McSym ( http://www-lbit.iro.umontreal.ca/mcsym/ ) which is specifically designed for RNAs.  Alternatively, NAB (http://www.scripps.edu/case/casegr-sh-2.2.html ) can also do what you want.  Both are free.

If you want to do Molecular Mechanics/Dynamics, then NAMD ( http://www.ks.uiuc.edu/Research/namd/ ) can do the calculations and VMD ( http://www.ks.uiuc.edu/Research/vmd/ ) is a good viewer for the results.  Both packages are free.

As an alternative to NAMD, amber ( http://www.amber.ucsf.edu/amber ) can do the MM/MD and is very inexpensive for an academic site.

Pete Gannett

>>> Vlad Cojocaru <Vlad.Cojocaru@mpi-bpc.mpg.de> 12/03/02 11:41AM >>>
Does anyone know a good freeware (or cheap software --academic use) for 
RNA modeling.
I have an RNA stem and I would like to attach a loop to it.
Thanks alot,
vlad

-- 
Vlad Cojocaru 
Max Planck Institute for Biophysical Chemistry 
Department: 060 
Am Fassberg 11, 37077 Goettingen, Germany 
tel: ++49-551-201.1389 
e-mail: Vlad.Cojocaru@mpi-bpc.mpg.de 
home tel: ++49-551-9963204  




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Subject: rotational barrier
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First i want to apologize me for the previous message that not had 
the required clarity.

 I'm trying to build the parameters for a MD simulation of an 
epoxidic sistem but a have not found any experimental data of the 
rotational barrier for the dihedral angle formed for the carbons 1,2,3 
and any hydrogen bonded to carbon 3 in the 1,2-epoxypropane.

 I'll be grateful of any suggestion.

 _____________________________________________

 Reynier Suardiaz del Rio
 Department of Physical Chemistry
 Chemistry Faculty
 University of Havana
 email: reynier@fq.uh.cu, reynier_s@yahoo.com
 _____________________________________________


From chemistry-request@server.ccl.net Tue Dec  3 14:23:25 2002
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Date: Tue, 03 Dec 2002 14:23:26 -0500
From: Ed Brothers <enb108@psu.edu>
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To: chemistry@ccl.net
Subject: First derivative of density matrix using CPHF.
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    I am trying to construct the first derivative of the density matrix
with respect to an atomic center's perturbation.  I am able to solve the

CPHF and I believe I am getting the right answers, but I am getting
stuck on forming the first derivative of the density matrix.
    For the test case I am using an H2 with one uncontracted Gaussian
with orbital exponent=3 on each atom.  The optimized geometry and MO
coefficients follow:

H          0.116439735      0.116439735      0.116439735
H         -0.116439735     -0.116439735     -0.116439735

c[ 1, 1]= -0.5937423229
c[ 2, 1]= -0.5937423229 = c[ 1, 1]
c[ 1, 2]= 0.9271342977
c[ 2, 2]= -0.9271342977  =  - c[ 1, 2]

Where c[i,j] is AO i’s contribution to MO j.

According to Pople, Krishnan, and Binkley, Int. J. Quant. Chem 13,
225-241 (1979), The first derivative of density matrix element u,v
(Called D(u,v) below) is:

dD(u,v)/dy = (Sum over r=1,2N) (Sum over S=1,2N) P’(r,s) c[u,r] c[v,s]

Where N is the total number of basis functions, and r,s are over MO’s.
If we assume the UHF case and an alpha density matrix, u and v are both
alpha functions and r and s are only over alpha MO’s.  Also, for this
basis set there are only two alpha MO’s.  Thus:

dD(u,v)/dy = (Sum over r=1,2) (Sum over S=1,2) P’(r,s) c[u,r] c[v,s]

dD(u,v)/dy = P’(1,1) c[u,1] c[v,1] + P’(1,2) c[u,1] c[v,2] + P’(2,1)
c[u,2] c[v,1] + P’(2,2) c[u,2] c[v,2]

My problem arises if we look at the derivative of density matrix
elements 1,1 and 2,2.  It would seem to me that for an arbitrary
Cartesian perturbation, dD(1,1)/dy = dD(2,2)/dy.  For instance, if this
molecule was along the x-axis and we took the derivative of Atom 1 in
the x direction, both D(1,1) and D(2,2) would change by the same
amount.  This doesn’t appear to be the case from my understanding of the

mathematics, which indicates I am making an error somewhere.  The
derivative are formally:

dD(1,1)/dy = P’(1,1) c[1,1] c[1,1] + P’(1,2) c[1,1] c[1,2] + P’(2,1)
c[1,2] c[1,1] + P’(2,2) c[1,2] c[1,2]

dD(2,2)/dy = P’(1,1) c[2,1] c[2,1] + P’(1,2) c[2,1] c[2,2] + P’(2,1)
c[2,2] c[2,1] + P’(2,2) c[2,2] c[2,2]

Now P’(1,1) is occupied-occupied, P’(2,1) and P’(1,2) are
virtual-occupied, and P’(2,2) is virtual-virtual.  According to equation

(54) of Pople et. al.,

P’(occ,occ) = - S’(occ,occ)

P’(occ,virt) =  u(occ:virt)  where the occ-virt is a single index and u
is the result of the CPHF equation.

P’(virt,virt) = 0.

Thus the derivatives reduce to:

dD(1,1)/dy = -S’(1,1) c[1,1] c[1,1] + 2u(2:1) c[1,1] c[1,2]
dD(2,2)/dy = -S’(1,1) c[2,1] c[2,1] + 2u(2:1) c[2,1] c[2,2]

(Note:  I assume that P’(1,2) =  P’(2,1).  Is this correct?)

We saw above that c[ 2, 1]= c[ 1, 1] and c[ 2, 2]=  - c[ 1, 2].  If we
substitute this into the relation ship for dD(2,2)/dy we get:

dD(1,1)/dy = -S’(1,1) c[1,1] c[1,1] + 2u(2:1) c[1,1] c[1,2]

dD(2,2)/dy = -S’(1,1) c[1,1] c[1,1] - 2u(2:1) c[1,1] c[1,2]

And these are very obviously not equal.    Does anyone know what I am
doing wrong?  Any assistance would be greatly appreciated, as I think
this is a fairly trivial problem and I am stumped.

 Ed Brothers.
 Merz Group.
 PSU.


PS  Sorry about the length of the post.






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From: "Temporary Guest Account;CNLS;7-1444;9999999" <tamulis@cnls.lanl.gov>
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Subject: Negative values of HFS 
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Dear netters,

would you please to explain what does it means the negative values of
Isotropic Fermi Contact Couplings constants calculated by G98 A.13.3
Enclosed please find part of resulting file:

     Atom                 a.u.       MegaHertz      Gauss      10(-4) cm-1
   6  N(14)              0.10574      34.16484     12.19087      11.39616
  17  O(17)              0.06247     -37.87121    -13.51339     -12.63247

Thanks in advance.
Regards, Arvydas Tamulis
*******************************************************************
                  Arvydas Tamulis

Temporal address until 28 February 2003:

Los Alamos National Laboratory
Center for Nonlinear Studies
P.O. Box 1663, Mail Stop B258
Los Alamos, New Mexico 87545
Work Phone: (505) 667-7278
Fax: (505) 665-2659
e-mail: tamulis@cnls.lanl.gov

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