From owner-chemistry@ccl.net Fri Apr 5 01:50:01 2013 From: "John Keller jwkeller|alaska.edu" To: CCL Subject: CCL:G: how to calculate energy in kcal/mol for a particular temperature Message-Id: <-48527-130405011352-18053-TuYrBG8SHxVF/H7W2Kq+Yw:+:server.ccl.net> X-Original-From: John Keller Content-Type: multipart/alternative; boundary=047d7b111bad9303a804d996265a Date: Thu, 4 Apr 2013 21:13:42 -0800 MIME-Version: 1.0 Sent to CCL by: John Keller [jwkeller[a]alaska.edu] --047d7b111bad9303a804d996265a Content-Type: text/plain; charset=ISO-8859-1 Hi Ashutosh, You can use the Eyring-Polanyi equation to calculate k the unimolecular rate constant, given Gibbs Free Energy of Activation delGdoubledagger. Google "Eyring equation wiki" to see the equation written out. To a good approximation at moderate temperatures, the free energy of activation is not dependent on temperature. Reactions go faster at higher temperatures because a higher proportion of molecules have attained a kinetic energy greater or equal to the free energy of activation. To estimate free energy of activation, you would need to optimize and do frequency calculation for the starting compound and transition state, and take the difference in free energies between these two. Locating the T.S. is sometimes difficult: if you are using Gaussian, the Opt=TS, or OPT=QST2, or Opt=QST3 methods are used. Good luck! John Keller On Thu, Apr 4, 2013 at 7:17 PM, ashutosh gupta ashu1809 a gmail.com < owner-chemistry%x%ccl.net> wrote: > Dear All, > > Normally it is assumed that if the activation barrier is less than 20 > kcal/mol, then the reaction occurs at ROOM TEMPERATURE. > > how do we calculate it? > what is its formula? > > how can we know corresponding energy in kcal/mol for some other > temperature say 70 degree Celsius. > > thanking you. > > kind regards and best wishes > ashutosh > varanasi India > --047d7b111bad9303a804d996265a Content-Type: text/html; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable
Hi Ashutosh,
You ca= n use the Eyring-Polanyi equation to calculate k the unimolecular rate cons= tant, given Gibbs Free Energy of Activation delGdoubledagger. Google "= Eyring equation wiki" to see the equation written out.

To a good approximation at moderate temperatures, the free energy= of activation is not dependent on temperature. Reactions go faster at high= er temperatures because a higher proportion of molecules have attained a ki= netic energy greater or equal to the free energy of activation.

To estimate free energy of activation, you would need to optimize= and do frequency calculation for the starting compound and transition stat= e, and take the difference in free energies between these two. Locating the= T.S. is sometimes difficult: if you are using Gaussian, the Opt=3DTS, or O= PT=3DQST2, or Opt=3DQST3 methods are used.

Good luck!
John Keller



On Thu, Apr 4, 2013 at 7:17= PM, ashutosh gupta ashu1809 a gmail.com <= span dir=3D"ltr"><owner-chemistry%x%ccl.net> wrote:
Dear All,

Normally it is assumed that if the activation barrier i= s less than 20 kcal/mol, then the reaction occurs at ROOM TEMPERATURE.

how do we calculate it?
what is its formula?=

how =A0can =A0we know corresponding energy in kcal/mol = for some other temperature say 70 degree Celsius.=A0

thanking you.

kind regards and best wishes=A0
ashutosh
varanasi India

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