CCL:G: Isotope



 Sent to CCL by: Phil Hasnip [pjh503{=}york.ac.uk]
 
I think it's true the Born-Oppenheimer approx. based calculation can only know same equilibrium geometry of the isotopomer.
 
That's not quite true, the quantum nature of the nuclei can be added back in using path-integral methods. As an example, the CASTEP computer program will perform path-integral molecular dynamics (PIMD) and by averaging the ionic positions over the PIMD run you could obtain the finite-temperature geometries for H and D (which would be different in general). A side-effect of this method is that *all* the nuclei are treated as quantum particles, not just the "light" nuclei.
 
Alternatively if there's only one light ion you could use a DFT method to map out the potential-energy surface, and then use a simple quantum mechanical solver to compute the groundstate for H and D.
 Yours,
 Phil Hasnip
 
 "Jamin Krinsky jamink(a)berkeley.edu"  wrote:
 Sent to CCL by: Jamin Krinsky [jamink,+,berkeley.edu]
 --0016362842429aeccd048176246e
 Content-Type: text/plain; charset=ISO-8859-1
 Hi Prasenjit,
 In a normal ab initio calculation (DFT, etc.) you are assuming the
 Born-Oppenheimer approximation that the nuclei are not moving, so you are
 going to get the same geometry for H and D substitution. What will change
 with isotope are frequency-dependent properties: zero point energies, etc.
 The reason why X-D bonds are shorter than X-H bonds is that the lowest
 vibrational level of X-D is lower than that for X-H, so it sits closer two
 the equilibrium geometry at the BOTTOM of an anharmonic potential well. I
 think you'd have to solve a frequency-coupled nuclear Schrodinger equation
 to get that behavior in a geometry optimization. Please someone correct me
 if I'm wrong.
 Regards,
 Jamin
 On Tue, Mar 9, 2010 at 9:59 AM, Prasenjit SEAL prasenjit.seal|,|
 crm2.uhp-nancy.fr <owner-chemistry-*-ccl.net> wrote:
 
 Sent to CCL by: Prasenjit SEAL [prasenjit.seal##crm2.uhp-nancy.fr]
 Hi CCL subscribers,
 Can anybody tell me which software can perform optimization of isotopes? I
 want to perform a geometry optimization of D2 and HD molecules.
 If it is Gaussian or MOLPRO, then how I should proceed?
 Thanks in advance.
 Cheers,
 PShttp://www.ccl.net/chemistry/sub_unsub.shtmlConferences:
 http://server.ccl.net/chemistry/announcements/conferences/>;
 
 --
 Jamin L Krinsky, Ph.D.
 Molecular Graphics and Computation Facility
 175 Tan Hall, University of California, Berkeley, CA 94720
 jamink-*-berkeley.edu, 510-643-0616
 http://glab.cchem.berkeley.edu
 --0016362842429aeccd048176246e
 Content-Type: text/html; charset=ISO-8859-1
 Content-Transfer-Encoding: quoted-printable
 Hi Prasenjit,<br>In a normal ab initio calculation (DFT, etc.) you are
 assu=
 ming the Born-Oppenheimer approximation that the nuclei are not moving, so =
 you are going to get the same geometry for H and D substitution. What will =
 change with isotope are frequency-dependent properties: zero point energies=
 , etc. The reason why X-D bonds are shorter than X-H bonds is that the lowe=
 st vibrational level of X-D is lower than that for X-H, so it sits closer t=
 wo the equilibrium geometry at the BOTTOM of an anharmonic potential well. =
 I think you&#39;d have to solve a frequency-coupled nuclear Schrodinger equ=
 ation to get that behavior in a geometry optimization. Please someone corre=
 ct me if I&#39;m wrong.<br>
 Regards,<br>Jamin<br><br><br><div
 class=3D"gmail_quote">On Tue, Mar 9, 2010=
  at 9:59 AM, Prasenjit SEAL prasenjit.seal|,|<a href=3D"http://crm2.uhp-nan=
 cy.fr">crm2.uhp-nancy.fr</a> <span
 dir=3D"ltr">&lt;<a href=3D"mailto:owner-=
 chemistry-*-ccl.net">owner-chemistry-*-ccl.net</a>&gt;</span>
 wrote:<br>
 <blockquote class=3D"gmail_quote" style=3D"margin: 0pt 0pt 0pt
 0.8ex; borde=
 r-left: 1px solid rgb(204, 204, 204); padding-left: 1ex;"><br>
 Sent to CCL by: Prasenjit SEAL [prasenjit.seal##<a href=3D"http://crm2.uhp-=
 nancy.fr"
 target=3D"_blank">crm2.uhp-nancy.fr</a>]<br>
 Hi CCL subscribers,<br>
 <br>
 Can anybody tell me which software can perform optimization of isotopes? I =
 want to perform a geometry optimization of D2 and HD molecules.<br>
 <br>
 If it is Gaussian or MOLPRO, then how I should proceed?<br>
 <br>
 Thanks in advance.<br>
 <br>
 Cheers,<br>
 PS<br>
 <br>
 <br>
 <br>
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 </blockquote></div><br><br
 clear=3D"all"><br>-- <br>Jamin L Krinsky, Ph.D.<=
 br>Molecular Graphics and Computation Facility<br>175 Tan Hall,
 University =
 of California, Berkeley, CA 94720<br><a href=3D"mailto:jamink-*-berkeley.edu"=
 
 jamink-*-berkeley.edu</a>, 510-643-0616<br>
 
 <a href=3D"http://glab.cchem.berkeley.edu">http-:-//glab.cchem.berkeley.edu</=
 a><br><br>
 --0016362842429aeccd048176246e-->
 
 
 --
 -------------------------------------------------------
 Dr Phil Hasnip                 Email: pjh503(-)york.ac.uk
 Dept of Physics
 University of York             Tel:  +44 (0)1904 434624
 York YO10 5DD