From owner-chemistry@ccl.net Sun Dec 4 01:51:01 2011 From: "Jun Zhang coolrainbow|*|yahoo.cn" To: CCL Subject: CCL: How to calculate the independent degrees of freedom of a molecule? Message-Id: <-45978-111204013023-6111-IPUrcPX1zbe9RV7CQp3dhQ**server.ccl.net> X-Original-From: Jun Zhang Content-Type: multipart/alternative; boundary="-479291050-1919313495-1322980211=:30140" Date: Sun, 4 Dec 2011 14:30:11 +0800 (CST) MIME-Version: 1.0 Sent to CCL by: Jun Zhang [coolrainbow[#]yahoo.cn] ---479291050-1919313495-1322980211=:30140 Content-Type: text/plain; charset=utf-8 Content-Transfer-Encoding: quoted-printable Dera Cory:=0A=C2=A0=0AI think you are right -- just what I need! Maybe the = "totally symmetric space" is not curvilinear like internal coordinates shou= ld be, but a search and redundent revoming of all internal coordinates coul= d do it. Thank you!=0A=0A--------------------------------------------------= --------------=0AJun Zhang (coolrainbow||yahoo.cn)=0AComputational Chemistry= Group=0ANo.94, Weijinlu=0ANankai University =0ATianjin, China=0A =0A=0A___= _____________________________=0A =E5=8F=91=E4=BB=B6=E4=BA=BA=EF=BC=9A Cory = Pye cpye[#]ap.smu.ca =0A=E6=94=B6=E4=BB=B6=E4=BA= =BA=EF=BC=9A "Zhang, Jun " =0A=E5=8F=91=E9= =80=81=E6=97=A5=E6=9C=9F=EF=BC=9A 2011=E5=B9=B412=E6=9C=884=E6=97=A5, =E6= =98=9F=E6=9C=9F=E6=97=A5, =E4=B8=8A=E5=8D=88 5:39=0A=E4=B8=BB=E9=A2=98: CCL= : How to calculate the independent degrees of freedom of a molecule?=0A =0A= =0ASent to CCL by: Cory Pye [cpye++ap.smu.ca]=0AJun,=0AI think that the num= ber of parameters must be the same as the number of totally=0Asymmetric vib= rational modes of the molecule. Unfortunately I don't have a proof=0Afor yo= u, but if you take the space spanned by all the totally symmetric=0Avibrati= ons, then it must be the space spanned by the coordinates as well.=0A-Cory= =0A=0AOn Sat, 3 Dec 2011, Jun Zhang coolrainbow * yahoo.cn wrote:=0A=0A> He= llo everyone:=0A=C2=A0=0AFor a nonlinear N-atom molecule there are 3N-6 int= ernal degrees of freedom, of course.=C2=A0 However, for a point group-const= raint molecule, such as C2v H2O, there are only 2 independent degrees of fr= eedom. So, is=C2=A0there a systematic way to determine the number and the c= ontents of independent degrees of freedom of an arbitarily symmetry-constra= int molecule? I heard that some knowledge like Polya theorem are requied, b= ut I am not sure. It will be better if some reviews can be reccommended.=0A= =C2=A0=0AThank you in advance. Any suggestions will be appreciated.=0A=C2= =A0=0ABest regards!=0A=C2=A0=0A--------------------------------------------= --------------------=0AJun Zhang (coolrainbow^-^yahoo.cn)=0AComputational C= hemistry Group=0ANo.94, Weijinlu=0ANankai University=0ATianjin, China=0A=0A= =C2=A0 *************=C2=A0 =C2=A0 !=C2=A0 Dr. Cory C. Pye=0A**************= ***=C2=A0 !=C2=A0 Associate Professor=0A***=C2=A0 **=C2=A0 =C2=A0 **=C2=A0= **=C2=A0 !=C2=A0 Theoretical and Computational Chemistry=0A**=C2=A0 *=C2= =A0 ****=C2=A0 =C2=A0 =C2=A0 =C2=A0 !=C2=A0 Department of Chemistry, Saint = Mary's University=0A**=C2=A0 =C2=A0 =C2=A0 *=C2=A0 *=C2=A0 =C2=A0 =C2=A0 = =C2=A0 !=C2=A0 923 Robie Street, Halifax, NS B3H 3C3=0A**=C2=A0 =C2=A0 =C2= =A0 *=C2=A0 *=C2=A0 =C2=A0 =C2=A0 =C2=A0 !=C2=A0 cpye_-_crux.stmarys.ca=C2= =A0 http://apwww.stmarys.ca/~cpye=0A***=C2=A0 =C2=A0 *=C2=A0 *=C2=A0 =C2= =A0 **=C2=A0 !=C2=A0 Ph: (902)-420-5654=C2=A0 FAX:(902)-496-8104=0A********= *********=C2=A0 !=0A=C2=A0 *************=C2=A0 =C2=A0 !=C2=A0 Les Hartree-= Focks (Apologies to Montreal Canadien Fans)=0A=0A=0A=0A-=3D This is automat= ically added to each message by the mailing script =3D-=0ATo recover the em= ail address of the author of the message, please change=0Athe strange chara= cters on the top line to the || sign. You can also=0Alook up the X-Original-= > From: line in the mail header.=0A=0AE-mail to subscribers: CHEMISTRY||ccl.ne= t or use:=0A=C2=A0 =C2=A0 =C2=A0 http://www.ccl.net/cgi-bin/ccl/send_ccl_me= ssage=0A=0A=0A=C2= =A0 =C2=A0 =C2=A0=0A=0ASubs= cribe/Unsubscribe: =0A=C2=A0 =C2=A0 =C2=A0 http://www.ccl.net/chemistry/sub= _unsub.shtml=0A=0A=0A= =0A=0AConferences: http://server.ccl.net/chemi= stry/announcements/conferences/=0A=0ASearch Messages: http://www.ccl.net/ch= emistry/searchccl/index.shtml=0A=0AIf your mail bounces from CCL with 5.7.1= error, check:=0A=C2=A0 =C2=A0 =C2=A0=0A=0A=---479291050-1919313495-1322980211=:30140 Content-Type: text/html; charset=utf-8 Content-Transfer-Encoding: quoted-printable
Dera Cory:=
 
I think you are right= -- just what I need! Maybe the "totally symmetric space" is not curvilinea= r like internal coordinates should be, but a search and redundent revoming = of all internal coordinates could do it. Thank you!
 
---------------------= -------------------------------------------
Jun Zhang (coolrainbow||yahoo= .cn)
Computational Chemistry Group
No.94, Weijinlu
Nankai Universi= ty
Tianjin, China
=E5=8F=91=E4=BB=B6=E4=BA=BA=EF=BC=9A Cory Py= e cpye[#]ap.smu.ca <owner-chemistry||ccl.net>
=E6=94=B6=E4=BB=B6=E4=BA=BA=EF=BC=9A "Zhang, J= un " <coolrainbow||yahoo.cn>
=E5=8F=91=E9=80=81=E6=97=A5=E6=9C=9F=EF=BC=9A 2011=E5= =B9=B412=E6=9C=884=E6=97=A5, =E6=98=9F=E6=9C=9F=E6=97=A5, =E4=B8=8A=E5=8D= =88 5:39
=E4=B8=BB=E9=A2=98: CCL: How to calculate the independent degrees of freedom of a molecu= le?


Sent to CCL by: Cory Pye [cpye++ap.smu.ca]
Jun,<= br>I think that the number of parameters must be the same as the number of = totally
symmetric vibrational modes of the molecule. Unfortunately I don= 't have a proof
for you, but if you take the space spanned by all the to= tally symmetric
vibrations, then it must be the space spanned by the coordinates as well.
-Cory

On Sat, 3 Dec 2011, Jun Zhang coolrai= nbow * yahoo.cn wrote:

> Hello everyone:
 
For a nonli= near N-atom molecule there are 3N-6 internal degrees of freedom, of course.=   However, for a point group-constraint molecule, such as C2v H2O, the= re are only 2 independent degrees of freedom. So, is there a systemati= c way to determine the number and the contents of independent degrees of fr= eedom of an arbitarily symmetry-constraint molecule? I heard that some know= ledge like Polya theorem are requied, but I am not sure. It will be better = if some reviews can be reccommended.
 
Thank you in advance. Any= suggestions will be appreciated.
 
Best regards!
 
-= ---------------------------------------------------------------
Jun Zhan= g (coolrainbow^-^yahoo.cn)
Computational Chemistry Group
No.94, Weiji= nlu
Nankai University
Tianjin, China

 =20 *************    !  Dr. Cory C. Pye
*****************&n= bsp; !  Associate Professor
***  **    **  **&= nbsp; !  Theoretical and Computational Chemistry
**  *  = ****        !  Department of Chemistry, Saint Mary= 's University
**      *  *       = ; !  923 Robie Street, Halifax, NS B3H 3C3
**      *=   *        !  cpye_-_crux.stmarys.ca  <= a href=3D"http://apwww.stmarys.ca/~cpye" target=3D"_blank">http://apwww.stm= arys.ca/~cpye
***    *  *    **  !&nb= sp; Ph: (902)-420-5654  FAX:(902)-496-8104
***************** = !
  *************    !  Les Hartree-Focks (Apologi= es to Montreal Canadien Fans)



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