From owner-chemistry@ccl.net Sat Jan 26 12:20:01 2019
From: "Jens Spanget-Larsen spanget#ruc.dk" <owner-chemistry%server.ccl.net>
To: CCL
Subject: CCL: SV: SV: Looking for a PPP parameter set
Message-Id: <-53600-190126111220-17370-yrhtZP1z/pBBSa4AE+cWiA%server.ccl.net>
X-Original-From: Jens Spanget-Larsen <spanget_-_ruc.dk>
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Sent to CCL by: Jens Spanget-Larsen [spanget~~ruc.dk]
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Dear Gustavo,

in the 1970ies Josef Michl and his collaborators investigated application o=
f the PPP-CI model to the spectra of conjugated systems, focussing on exten=
ded CI schemes such as SECI-1 and SECI-2. You may find useful information i=
n their work, see for example:

J.W. Downing, J. Michl*, P. Jorgensen, E.W. Thulstrup, Theor. Chim. Acta 19=
74, 32, 203.

You may also find something of interest in the development of the LCOAO mod=
el, which may be considered as an extension of the PPP-CI model to include =
all valence electrons:

J. Spanget-Larsen, Theor. Chem. Acc. 1997, 98, 137-153.

Yours, Jens >--<

  ------------------------------------------------------
  JENS SPANGET-LARSEN        Office:       +45 4674 2710
  Dept. of Science           Fax:          +45 4674 3011
  Roskilde University        Mobile:       +45 2320 6246
  P.O.Box 260                E-Mail:      spanget() ruc.dk<mailto:spanget() ruc=
.dk>
  DK-4000 Roskilde, Denmark  Web: thiele.ruc.dk/~spanget
  ------------------------------------------------------
________________________________________
Fra: owner-chemistry+spanget=3D=3Druc.dk() ccl.net [owner-chemistry+spanget=
=3D=3Druc.dk() ccl.net] p&#229; vegne af GUSTAVO LAUREANO COELHO DE MOURA gus=
tavo.moura|ufpe.br [owner-chemistry() ccl.net]
Sendt: 25. januar 2019 23:38
Til: Jens Spanget-Larsen
Emne: CCL: SV: Looking for a PPP parameter set

Sent to CCL by: GUSTAVO LAUREANO COELHO DE MOURA [gustavo.moura]~[ufpe.br]
Dear CCL Community,
Two weeks ago, I sent a message to the list where I inquired about paramete=
rs for PPP excited state calculations of organic molecules.
So far, I have received only one helpful advice from Jens Spanget-Larsen re=
garding the choice of the two-center two-electron integral equation (Ohno v=
ersus Mataga-Nishimoto).
I am still looking for PPP parameters, both one- and two-center integral pa=
rameters. I am particularly interested in distance dependent two-center one=
-electron resonance integrals between first neighbor centers. In a first mo=
ment, I would settle for calculating only conjugated hydrocarbons.
Therefore, I would be grateful if someone could point for a reference where=
 I can find such a fully self-contained PPP parameter set.
Thank you very much in advance.
Sincerely yours,
                Gustavo L.C. Moura

----- Mensagem original -----
De: "GUSTAVO LAUREANO COELHO DE MOURA gustavo.moura ~ ufpe.br" <owner-chemi=
stry-,-ccl.net>
Para: "Moura, Gustavo L.C. " <gustavo.moura-,-ufpe.br>
Enviadas: S=E1bado, 12 de janeiro de 2019 20:14:40
Assunto: CCL: SV: Looking for a PPP parameter set

Sent to CCL by: GUSTAVO LAUREANO COELHO DE MOURA [gustavo.moura|-|ufpe.br]
Dear Jens,
Thank you very much for your input.
I have been employing a CI approach that includes more than single excitati=
ons in the calculations and I have observed that, in agreement with your in=
fo, I get better results with the OH equation.
Regarding the resonance integrals, I have been using a parameter set that e=
mploys a linear relationship between first neighbors bond lengths and beta.=
 I have no plans of going beyond first neighbors for the resonance integral=
s.
In the end, what I am searching is a fully self-contained PPP parameter set=
. One that does not employ different parameters or equations from different=
 sources.
Sincerely yours,
                Gustavo L.C. Moura



----- Mensagem original -----
De: "Jens Spanget-Larsen spanget^^ruc.dk" <owner-chemistry##ccl.net>
Para: "Moura, Gustavo L.C. " <gustavo.moura##ufpe.br>
Enviadas: S=E1bado, 12 de janeiro de 2019 6:42:35
Assunto: CCL: SV: Looking for a PPP parameter set

Dear Gustavo!

Whether you use MN or OH two-center electron repulsion integrals does not d=
epend so much on the other PPP parameters. The choice depends primarily on =
the configuration interaction (CI) expansion. If the expansion is limited t=
o singly excited configurations (CIS), the strongly screened MN integrals t=
end to be adequate. But if you include doubly or higher excited configurati=
ons, thereby explicitly introducing terms in electron correlation, the less=
 screened OH integrals are more appropriate.

You want to include distance depending resonance integrals (beta's). Let me=
 just mention that if you include resonance integrals between 'non-bonded' =
centers, thereby abandoning the tight-binding approximation, you break the =
spirit of the PPP concept.

Yours, Jens >--<

------------------------------------------------------
JENS SPANGET-LARSEN              Office: +45 4674 2710
Dept. of Science                 Fax: +45 4674 3011
Roskilde University              Mobile: +45 2320 6246
P.O.Box 260                      Mail: spanget]|[ruc.dk
DK-4000 Roskilde, Denmark  Web: thiele.ruc.dk/~spanget
------------------------------------------------------

________________________________________
Fra: owner-chemistry+spanget=3D=3Druc.dk]|[ccl.net [owner-chemistry+spanget=
=3D=3Druc.dk]|[ccl.net] p&#229; vegne af Gustavo L.C. Moura gustavo.moura(0=
)ufpe.br [owner-chemistry]|[ccl.net]
Sendt: 12. januar 2019 01:19
Til: Jens Spanget-Larsen
Emne: CCL: Looking for a PPP parameter set

Sent to CCL by: "Gustavo L.C. Moura" [gustavo.moura^ufpe.br]
Dear CCL Community,
For the continuation of my studies on excited states of organic molecules, =
I have been looking for a set of Pariser-Parr-Pople parameters.
I have already searched on Google and, so far, have not found a PPP paramet=
er set that suits my needs.
My main problem is with the two-center part of the Hamiltonian. First, I fo=
und out that the choice between the Ohno (OH) or the Mataga-Nishimoto (MN) =
equations for gamma affect my results a lot. Therefore, I need a parameter =
set where the choice between OH or MN equations has already been made. Seco=
nd, I would like to have resonance integrals that depend on the distance be=
tween the atoms (not a constant as I have found in some places).
I will be very grateful if someone out there points me in the right directi=
on.
Sincerely yours,
Gustavo L.C. Mourahttp://www.ccl.net/cgi-bin/ccl/send_ccl_messagehttp://www=
.ccl.net/chemistry/sub_unsub.shtmlhttp://www.ccl.net/spammers.txt--_000_A94=
E15A372E6194CA8719D62642F674401374B5E80MBX2adrucdk_
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<div>Dear Gustavo!</div>
<div>&nbsp;&nbsp;</div>
<div>Whether you use MN or OH two-center electron repulsion integrals does =
not depend so much on the other PPP parameters. The choice depends primaril=
y on the configuration interaction (CI) expansion. If the expansion is limi=
ted to singly excited configurations
 (CIS), the strongly screened MN integrals tend to be adequate. But if you =
include doubly or higher excited configurations, thereby explicitly introdu=
cing terms in electron correlation, the less screened OH integrals are more=
 appropriate.&nbsp;</div>
<div><br>
</div>
<div>You want to include distance depending resonance integrals (beta's). L=
et me just mention that if you include resonance integrals between 'non-bon=
ded' centers, thereby abandoning the tight-binding approximation, you break=
 the spirit of the PPP concept.</div>
<div><br>
</div>
<div>Yours, Jens &gt;--&lt; &nbsp;</div>
<div><br>
</div>
------------------------------------------------------<br>
JENS SPANGET-LARSEN &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; Office:=
 &#43;45 4674 2710<br>
Dept. of Science &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Fa=
x: &#43;45 4674 3011<br>
Roskilde University &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; Mobile:=
 &#43;45 2320 6246<br>
P.O.Box 260 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =
&nbsp;&nbsp; Mail: spanget]|[ruc.dk<br>
DK-4000 Roskilde, Denmark&nbsp; Web: thiele.ruc.dk/~spanget<br>
------------------------------------------------------<br>
<br>
________________________________________<br>
Fra: owner-chemistry&#43;spanget=3D=3Druc.dk]|[ccl.net [owner-chemistry&#43=
;spanget=3D=3Druc.dk]|[ccl.net] p&amp;#229; vegne af Gustavo L.C. Moura gus=
tavo.moura(0)ufpe.br [owner-chemistry]|[ccl.net]<br>
Sendt: 12. januar 2019 01:19<br>
Til: Jens Spanget-Larsen<br>
Emne: CCL: Looking for a PPP parameter set<br>
<br>
Sent to CCL by: &quot;Gustavo L.C. Moura&quot; [gustavo.moura^ufpe.br]<br>
Dear CCL Community,<br>
For the continuation of my studies on excited states of organic molecules, =
I have been looking for a set of Pariser-Parr-Pople parameters.<br>
I have already searched on Google and, so far, have not found a PPP paramet=
er set that suits my needs.<br>
My main problem is with the two-center part of the Hamiltonian. First, I fo=
und out that the choice between the Ohno (OH) or the Mataga-Nishimoto (MN) =
equations for gamma affect my results a lot. Therefore, I need a parameter =
set where the choice between OH
 or MN equations has already been made. Second, I would like to have resona=
nce integrals that depend on the distance between the atoms (not a constant=
 as I have found in some places).<br>
I will be very grateful if someone out there points me in the right directi=
on.<br>
Sincerely yours,<br>
Gustavo L.C. Moura<br>
<br>
<br>
<br<br<br=3D<br<br>
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<font size=3D"2" face=3D"Courier New">Dear Gustavo,<br>
<br>
in the 1970ies Josef Michl and his collaborators investigated application o=
f the PPP-CI model to the spectra of conjugated systems, focussing on exten=
ded CI schemes such as SECI-1 and SECI-2. You may find useful information i=
n their work, see for example:<br>
<br>
J.W. Downing, J. Michl*, P. Jorgensen, E.W. Thulstrup, Theor. Chim. Acta 19=
74, 32, 203.<br>
<br>
You may also find something of interest in the development of the LCOAO mod=
el, which&nbsp;may be considered as an extension of the PPP-CI model to inc=
lude all valence electrons:
<br>
<br>
J. Spanget-Larsen, Theor. Chem. Acc. 1997, 98, 137-153.<br>
<br>
Yours, Jens &gt;--&lt;<br>
<br>
&nbsp; ------------------------------------------------------<br>
&nbsp; JENS SPANGET-LARSEN&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Office=
:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &#43;45 4674 2710<br>
&nbsp; Dept. of Science&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp; Fax:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &#43;45=
 4674 3011<br>
&nbsp; Roskilde University&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Mobile=
:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &#43;45 2320 6246<br>
&nbsp; P.O.Box 260&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; E-Mail:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <a =
href=3D"mailto:spanget() ruc.dk">spanget() ruc.dk</a><br>
&nbsp; DK-4000 Roskilde, Denmark&nbsp; Web: thiele.ruc.dk/~spanget<br>
&nbsp; ------------------------------------------------------<br>
________________________________________<br>
Fra: owner-chemistry&#43;spanget=3D=3Druc.dk() ccl.net [owner-chemistry&#43;s=
panget=3D=3Druc.dk() ccl.net] p&amp;#229; vegne af GUSTAVO LAUREANO COELHO DE=
 MOURA gustavo.moura|ufpe.br [owner-chemistry() ccl.net]<br>
Sendt: 25. januar 2019 23:38<br>
Til: Jens Spanget-Larsen<br>
Emne: CCL: SV: Looking for a PPP parameter set<br>
<br>
Sent to CCL by: GUSTAVO LAUREANO COELHO DE MOURA [gustavo.moura]~[ufpe.br]<=
br>
Dear CCL Community,<br>
Two weeks ago, I sent a message to the list where I inquired about paramete=
rs for PPP excited state calculations of organic molecules.<br>
So far, I have received only one helpful advice from Jens Spanget-Larsen re=
garding the choice of the two-center two-electron integral equation (Ohno v=
ersus Mataga-Nishimoto).<br>
I am still looking for PPP parameters, both one- and two-center integral pa=
rameters. I am particularly interested in distance dependent two-center one=
-electron resonance integrals between first neighbor centers. In a first mo=
ment, I would settle for calculating
 only conjugated hydrocarbons.<br>
Therefore, I would be grateful if someone could point for a reference where=
 I can find such a fully self-contained PPP parameter set.<br>
Thank you very much in advance.<br>
Sincerely yours,<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp; Gustavo L.C. Moura<br>
<br>
----- Mensagem original -----<br>
De: &quot;GUSTAVO LAUREANO COELHO DE MOURA gustavo.moura ~ ufpe.br&quot; &l=
t;owner-chemistry-,-ccl.net&gt;<br>
Para: &quot;Moura, Gustavo L.C. &quot; &lt;gustavo.moura-,-ufpe.br&gt;<br>
Enviadas: S=E1bado, 12 de janeiro de 2019 20:14:40<br>
Assunto: CCL: SV: Looking for a PPP parameter set<br>
<br>
Sent to CCL by: GUSTAVO LAUREANO COELHO DE MOURA [gustavo.moura|-|ufpe.br]<=
br>
Dear Jens,<br>
Thank you very much for your input.<br>
I have been employing a CI approach that includes more than single excitati=
ons in the calculations and I have observed that, in agreement with your in=
fo, I get better results with the OH equation.<br>
Regarding the resonance integrals, I have been using a parameter set that e=
mploys a linear relationship between first neighbors bond lengths and beta.=
 I have no plans of going beyond first neighbors for the resonance integral=
s.<br>
In the end, what I am searching is a fully self-contained PPP parameter set=
. One that does not employ different parameters or equations from different=
 sources.<br>
Sincerely yours,<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp; Gustavo L.C. Moura<br>
<br>
<br>
<br>
----- Mensagem original -----<br>
De: &quot;Jens Spanget-Larsen spanget^^ruc.dk&quot; &lt;owner-chemistry##cc=
l.net&gt;<br>
Para: &quot;Moura, Gustavo L.C. &quot; &lt;gustavo.moura##ufpe.br&gt;<br>
Enviadas: S=E1bado, 12 de janeiro de 2019 6:42:35<br>
Assunto: CCL: SV: Looking for a PPP parameter set<br>
<br>
Dear Gustavo!<br>
<br>
Whether you use MN or OH two-center electron repulsion integrals does not d=
epend so much on the other PPP parameters. The choice depends primarily on =
the configuration interaction (CI) expansion. If the expansion is limited t=
o singly excited configurations
 (CIS), the strongly screened MN integrals tend to be adequate. But if you =
include doubly or higher excited configurations, thereby explicitly introdu=
cing terms in electron correlation, the less screened OH integrals are more=
 appropriate.<br>
<br>
You want to include distance depending resonance integrals (beta's). Let me=
 just mention that if you include resonance integrals between 'non-bonded' =
centers, thereby abandoning the tight-binding approximation, you break the =
spirit of the PPP concept.<br>
<br>
Yours, Jens &gt;--&lt;<br>
<br>
------------------------------------------------------<br>
JENS SPANGET-LARSEN&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp; Office: &#43;45 4674 2710<br>
Dept. of Science&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Fax: &#43;45 4674 3011<br>
Roskilde University&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp; Mobile: &#43;45 2320 6246<br>
P.O.Box 260&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Mail: spange=
t]|[ruc.dk<br>
DK-4000 Roskilde, Denmark&nbsp; Web: thiele.ruc.dk/~spanget<br>
------------------------------------------------------<br>
<br>
________________________________________<br>
Fra: owner-chemistry&#43;spanget=3D=3Druc.dk]|[ccl.net [owner-chemistry&#43=
;spanget=3D=3Druc.dk]|[ccl.net] p&amp;#229; vegne af Gustavo L.C. Moura gus=
tavo.moura(0)ufpe.br [owner-chemistry]|[ccl.net]<br>
Sendt: 12. januar 2019 01:19<br>
Til: Jens Spanget-Larsen<br>
Emne: CCL: Looking for a PPP parameter set<br>
<br>
Sent to CCL by: &quot;Gustavo L.C. Moura&quot; [gustavo.moura^ufpe.br]<br>
Dear CCL Community,<br>
For the continuation of my studies on excited states of organic molecules, =
I have been looking for a set of Pariser-Parr-Pople parameters.<br>
I have already searched on Google and, so far, have not found a PPP paramet=
er set that suits my needs.<br>
My main problem is with the two-center part of the Hamiltonian. First, I fo=
und out that the choice between the Ohno (OH) or the Mataga-Nishimoto (MN) =
equations for gamma affect my results a lot. Therefore, I need a parameter =
set where the choice between OH
 or MN equations has already been made. Second, I would like to have resona=
nce integrals that depend on the distance between the atoms (not a constant=
 as I have found in some places).<br>
I will be very grateful if someone out there points me in the right directi=
on.<br>
Sincerely yours,<br>
Gustavo L.C. Mourahttp://www.ccl.net/cgi-bin/ccl/send_ccl_messagehttp://www=
.ccl.net/chemistry/sub_unsub.shtmlhttp://www.ccl.net/spammers.txt--_000_A94=
E15A372E6194CA8719D62642F674401374B5E80MBX2adrucdk_<br>
Content-Type: text/html; charset=3D&quot;iso-8859-1&quot;<br>
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&lt;div&gt;Dear Gustavo!&lt;/div&gt;<br>
&lt;div&gt;&amp;nbsp;&amp;nbsp;&lt;/div&gt;<br>
&lt;div&gt;Whether you use MN or OH two-center electron repulsion integrals=
 does not depend so much on the other PPP parameters. The choice depends pr=
imarily on the configuration interaction (CI) expansion. If the expansion i=
s limited to singly excited configurations<br>
&nbsp;(CIS), the strongly screened MN integrals tend to be adequate. But if=
 you include doubly or higher excited configurations, thereby explicitly in=
troducing terms in electron correlation, the less screened OH integrals are=
 more appropriate.&amp;nbsp;&lt;/div&gt;<br>
&lt;div&gt;&lt;br&gt;<br>
&lt;/div&gt;<br>
&lt;div&gt;You want to include distance depending resonance integrals (beta=
's). Let me just mention that if you include resonance integrals between 'n=
on-bonded' centers, thereby abandoning the tight-binding approximation, you=
 break the spirit of the PPP concept.&lt;/div&gt;<br>
&lt;div&gt;&lt;br&gt;<br>
&lt;/div&gt;<br>
&lt;div&gt;Yours, Jens &amp;gt;--&amp;lt; &amp;nbsp;&lt;/div&gt;<br>
&lt;div&gt;&lt;br&gt;<br>
&lt;/div&gt;<br>
------------------------------------------------------&lt;br&gt;<br>
JENS SPANGET-LARSEN &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; =
&amp;nbsp;&amp;nbsp; Office: &amp;#43;45 4674 2710&lt;br&gt;<br>
Dept. of Science &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &am=
p;nbsp; &amp;nbsp; &amp;nbsp; Fax: &amp;#43;45 4674 3011&lt;br&gt;<br>
Roskilde University &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; =
&amp;nbsp;&amp;nbsp; Mobile: &amp;#43;45 2320 6246&lt;br&gt;<br>
P.O.Box 260 &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbs=
p; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp; Mail: spanget]|[ru=
c.dk&lt;br&gt;<br>
DK-4000 Roskilde, Denmark&amp;nbsp; Web: thiele.ruc.dk/~spanget&lt;br&gt;<b=
r>
------------------------------------------------------&lt;br&gt;<br>
&lt;br&gt;<br>
________________________________________&lt;br&gt;<br>
Fra: owner-chemistry&amp;#43;spanget=3D=3Druc.dk]|[ccl.net [owner-chemistry=
&amp;#43;spanget=3D=3Druc.dk]|[ccl.net] p&amp;amp;#229; vegne af Gustavo L.=
C. Moura gustavo.moura(0)ufpe.br [owner-chemistry]|[ccl.net]&lt;br&gt;<br>
Sendt: 12. januar 2019 01:19&lt;br&gt;<br>
Til: Jens Spanget-Larsen&lt;br&gt;<br>
Emne: CCL: Looking for a PPP parameter set&lt;br&gt;<br>
&lt;br&gt;<br>
Sent to CCL by: &amp;quot;Gustavo L.C. Moura&amp;quot; [gustavo.moura^ufpe.=
br]&lt;br&gt;<br>
Dear CCL Community,&lt;br&gt;<br>
For the continuation of my studies on excited states of organic molecules, =
I have been looking for a set of Pariser-Parr-Pople parameters.&lt;br&gt;<b=
r>
I have already searched on Google and, so far, have not found a PPP paramet=
er set that suits my needs.&lt;br&gt;<br>
My main problem is with the two-center part of the Hamiltonian. First, I fo=
und out that the choice between the Ohno (OH) or the Mataga-Nishimoto (MN) =
equations for gamma affect my results a lot. Therefore, I need a parameter =
set where the choice between OH<br>
&nbsp;or MN equations has already been made. Second, I would like to have r=
esonance integrals that depend on the distance between the atoms (not a con=
stant as I have found in some places).&lt;br&gt;<br>
I will be very grateful if someone out there points me in the right directi=
on.&lt;br&gt;<br>
Sincerely yours,&lt;br&gt;<br>
Gustavo L.C. Moura&lt;br&gt;<br>
&lt;br&gt;<br>
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