From chemistry-request@server.ccl.net Wed Apr 24 06:45:29 2002
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From: =?iso-8859-1?Q?Jes=FAs_Orduna?= <jorduna@posta.unizar.es>
To: "CCL" <CHEMISTRY@ccl.net>
Subject: Two photon absorption cross section units
Date: Wed, 24 Apr 2002 12:45:09 +0200
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dear CCLers,

I am becoming interested in Two Photon Absortion (TPA) processes and the =
use of quantum chemical calculations to predict TPA cross sections.

> From a three level aproach, the TPA cross section is expresed as:

 (mu(0,1))^2 (mu(1,2))^2/(delta E)^2

So it should have the dimensions of  "dipole moment^4/Energy^2"

but the TPA cross section is usually expresed in "cm^4 s/molecule" units =
which at least at first sight have a completely different dimension.

Could somebody clarify the relationship between these ways to express =
the TPA cross sections?

How can I convert calculated croos sections in atomic units to cm^4 =
s/molecule?


Thanks

=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
Jes=FAs Orduna
Instituto de Ciencia de Materiales de Aragon
Unidad de Nuevos Materiales Org=E1nicos
Facultad de Ciencias
CSIC-Universidad de Zaragoza
E-50009 Zaragoza (Spain)
Phone/FAX: +34 976 761194
e-mail: jorduna@posta.unizar.es
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D

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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
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<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>dear CCLers,</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>I am becoming interested in Two Photon =
Absortion=20
(TPA) processes and the use of quantum chemical calculations to predict =
TPA=20
cross sections.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>From a three level aproach, the TPA =
cross section=20
is expresed as:</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>&nbsp;(mu(0,1))^2 (mu(1,2))^2/(delta=20
E)^2</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>So it should have the dimensions =
of&nbsp; "dipole=20
moment^4/Energy^2"</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>but the TPA cross section is usually =
expresed in=20
"cm^4 s/molecule" units which at least at first sight have a completely=20
different dimension.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Could somebody clarify the relationship =
between=20
these ways to express the TPA cross sections?</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>How can I convert calculated croos =
sections in=20
atomic units to cm^4 s/molecule?</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Thanks</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial=20
size=3D2>=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D<BR>Jes=
=FAs Orduna<BR>Instituto=20
de Ciencia de Materiales de Aragon<BR>Unidad de Nuevos Materiales=20
Org=E1nicos<BR>Facultad de Ciencias<BR>CSIC-Universidad de =
Zaragoza<BR>E-50009=20
Zaragoza (Spain)<BR>Phone/FAX: +34 976 761194<BR>e-mail: <A=20
href=3D"mailto:jorduna@posta.unizar.es">jorduna@posta.unizar.es</A><BR>=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D</FONT></DIV></B=
ODY></HTML>

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