CCL:G: energy for proton



 Sent to CCL by: "Alex A. Granovsky" [gran[a]classic.chem.msu.su]
 Dear Pedro,
 
Thermodynamics is only applicable to macroscopic systems with additive energies. Charged plasma like gas of protons does not satisfy this requirement due to long-range nature of Coulomb interaction.
 Kind regards,
 Alex Granovsky
 
-----Original Message-----
 From: Pedro Silva pedros%%ufp.edu.pt
 
 Sent: Friday, April 13, 2012 2:39 PM
 
To: Granovsky, Alex, A. Subject: CCL:G: energy for proton
 Sent to CCL by: Pedro Silva [pedros[*]ufp.edu.pt]
 Dear Alexander,
 Your argument " one can never consider a proton as an ideal particle."
 applies equally to every molecule, even to noble gases. We all know
 that the theory involves approximations, so why should one "pick" on
 the proton as a uniquely problematic case for statistical
 thermodynamics?
 I also cannot understand why "One can never consider a mole of protons
 in a finite volume or a mole of protons at a finite pressure", as  it
 is possible to generate a mole of protons by bombarding H atoms with
 x-rays with the appropriate wavelength to eject all electrons. That
 system does not contain A-, and its thermodynamics must be describable
 in some way :-)
 On the other hand, if the issue at hand on " "One can never consider a
 mole of protons in a finite volume" is that of electrostatic
 repulsion, the same argumnent would also apply to one mole of Na+, H-,
 or any other charged species.
 Pedro S.
 2012/4/13 Alexander Bagaturyants bagaturyants-.-gmail.com
 <owner-chemistry|*|ccl.net>:
 
 Sent to CCL by: "Alexander Bagaturyants" [bagaturyants%gmail.com]
 Dear Thomas,
 
Of course, a proton can exist as a free particle in vacuum, and you also can
 calculate some formal quantities using some standard equations, but (!)
 One can never consider a mole of protons in a finite volume or a mole of
 protons at a finite pressure, and one can never consider a proton as an
 ideal particle.
 
A free proton can have any possible kinetic energy, but it cannot exist in a
 thermodynamic equilibrium and its kinetic energy depends not on the bath
 
temperature but on conditions of its generation. It cannot be characterized by a temperature, because temperature relates to an ensemble rather than an
 individual particle.
 One cannot consider an equilibrium like AH -> A(-) + H(+), and the
 equilibrium constant for this reaction makes no sense.
 Sorry for these trivial explanations.
 PS: I would not like to discuss here de Broglie's concept of hidden
 thermodynamics of an isolated particle, because this is a different story.
 Best regards
 Alexander
 
 -----Original Message-----
 From: owner-chemistry+sasha==photonics.ru-*-ccl.net [mailto:owner-
 chemistry+sasha==photonics.ru-*-ccl.net] On Behalf Of steinbrt=-
 =rci.rutgers.edu
 Sent: 13 April, 2012 11:25
 To: Alexander Bagaturyants
 Subject: CCL:G: energy for proton
 Sent to CCL by: steinbrt!A!rci.rutgers.edu Dear CCLers,
 I found the most recent comments on this by Alexander suprising. This
 is a particularly interesting discussion thread and I hope someone else
 will comment more on this.
 Why would thermodynamic parameters for a proton not make sense? As a
 free particle in vacuum it exists, and for any particle with a mass I
 can compute ideal values for its enthalpy, entropy and temperature
 (well, for one particle, kinetic energy at least).
 Moving from a description of a single particle in vacuum to a mol of
 (ideal) particles at standard state is then at least conceptually
 possible.
 The fact that a mol of H+ does not exist any more than a mol of Ac-
 doesn't change the fact that I can use it as a reference in computing
 thermodynamic properties of the reaction HAc -> H+ + Ac- from the
 properties of its constituent molecules.
 Furthermore, why can a deprotonation reaction not be described by
 thermodynamics? The fragmentation of e.g. HF -> F- + H+ in vacuum will
 have an equilibrium that lies exceptionally far to the left, but at
 high temperature some fragmentation would occur (disregarding the
 alternative radical cleavage for now, which would be more likely but
 shouldn't stop the heterolytic cleavage from happening)
 If I am wrong in any of the above, I would be happy to be corrected :-)
 Kind Regards,
 Thomas
 On Thu, April 12, 2012 1:17 pm, Alexander Bagaturyants
 sasha#photonics.ru
 wrote:
 >
 > Sent to CCL by: "Alexander Bagaturyants" [sasha .. photonics.ru]
 A
 > good comment by Prof. Sukumar!
 > However, it seems that it was not too straightforward, because some
 > misleading comments still appear and appear.
 > The matter of fact is that neither enthalpy, nor entropy, nor
 > temperature of a free proton makes physical sense. One cannot
 > construct a (thermodynamic) ensemble of free protons. A reaction in
 > which a proton is detached from a molecule can proceed only under
 > nonequilibrium conditions, it is a dynamic rather than thermodynamic
 > process.
 > That is, it senseless to calculate formally any thermodynamic
 function
 > of a free (individual) proton.
 > Hope this will make things a little bit more clear.
 > Best regards
 > Alexander
 >
 >> -----Original Message-----
 >> From: owner-chemistry+sasha==photonics.ru===ccl.net [mailto:owner-
 >> chemistry+sasha==photonics.ru===ccl.net] On Behalf Of N. Sukumar
 >> nagams(a)rpi.edu
 >> Sent: 12 April, 2012 15:27
 >> To: Alexander Bagaturyants
 >> Subject: CCL:G: energy for proton
 >>
 >>
 >> Sent to CCL by: "N. Sukumar" [nagams~~rpi.edu] "Why not
 perform the
 >> calculation on proton?"
 >>
 >> This is an interesting philosophical/pedagogical question. My answer
 >> would be: because for many students (and others), the output from a
 >> computer is the end of the problem, not the beginning of the
 question!
 >> If the computation is used as an aid to understand the chemistry,
 >> well and good. But many people these days will not believe a
 >> numerical answer unless it is produced by a calculator or a
 computer.
 >> And they may see no need to question those numbers/output any
 further.
 >>
 >> N. Sukumar
 >> Rensselaer Exploratory Center for Cheminformatics Research Professor
 >> of Chemistry Shiv Nadar University
 >> --------------------------
 >> "When you get exactly the opposite result to what you predict, you
 >> know it is right, because there is no bias." -- David Nutt,
 Imperial
 >> College, London.
 >>
 >> ==============Original message text=============== On Thu, 12 Apr
 >> 2012
 >> 4:13:44 EDT "Peeter Burk peeter.burk^ut.ee" wrote:
 >>
 >>
 >> Sent to CCL by: Peeter Burk [peeter.burk * ut.ee] Why not perform
 the
 >> calculation on prorton? With Gaussian 09 (if I remember correctly,
 >> then with g03 you had to use Freq=NoRaman to get the same results)
 >> you will
 >> get:
 >>
 >> -------------------
 >>   - Thermochemistry -
 >>   -------------------
 >>   Temperature   298.150 Kelvin.  Pressure   1.00000 Atm.
 >>   Atom     1 has atomic number  1 and mass   1.00783
 >>   Molecular mass:     1.00783 amu.
 >>   Zero-point vibrational energy          0.0 (Joules/Mol)
 >>                                      0.00000 (Kcal/Mol)
 >>   Vibrational temperatures:
 >>            (Kelvin)
 >>
 >>   Zero-point correction=                           0.000000
 >> (Hartree/Particle)
 >>   Thermal correction to Energy=                    0.001416
 >>   Thermal correction to Enthalpy=                  0.002360
 >>   Thermal correction to Gibbs Free Energy=        -0.010000
 >>   Sum of electronic and zero-point Energies=              0.000000
 >>   Sum of electronic and thermal Energies=                 0.001416
 >>   Sum of electronic and thermal Enthalpies=               0.002360
 >>   Sum of electronic and thermal Free Energies=           -0.010000
 >>
 >>
 >> Peeter Burk
 >> University of Tartu
 >>
 >> On 04/12/2012 10:17 AM, Tymofii Nikolaienko tim_mail*_*ukr.net
 wrote:
 >> >
 >> > Sent to CCL by: Tymofii Nikolaienko [tim_mail{=}ukr.net] Yes, ZPE
 >> > is zero.
 >> > However, if considering temperatures higher than 0 K, we can NOT
 >> > neglect the kinetic energy of the proton, since its thermal
 avarage
 >> is
 >> > 3 * kT / 2 !
 >> >
 >> > It is easy to demonstrate if you run the following for example
 with
 >> > H
 >> atom:
 >> >
 >> > # opt freq b3lyp/aug-cc-pVQZ int=ultrafine
 >> >
 >> > H atom
 >> >
 >> > 0 2
 >> > H 0.0 0.0 0.0
 >> >
 >> > And than you read in the output file:
 >> > ...
 >> > - Thermochemistry -
 >> > -------------------
 >> > Temperature 298.150 Kelvin. Pressure 1.00000 Atm.
 >> > ...
 >> > Zero-point correction= 0.000000 (Hartree/Particle) Thermal
 >> > correction to Energy= 0.001416 Thermal correction to Enthalpy=
 >> > 0.002360 Thermal correction to Gibbs Free Energy= -0.010654
 >> >
 >> > These thermal corrections would be just that same for the proton
 >> since
 >> > when calculating thermochemistry Gaussian assumes ground electron
 >> > state only (so no electronic degrees of freedom contribute to
 >> > thermal corrections; see
 >> > http://www.gaussian.com/g_whitepap/thermo.htm ).> Note
 that
 >> > "0.001416" (the "Thermal correction to
 Energy") equals 3/2*k*T for
 >> > T = 298.15 K, while "0.002360" (" Thermal
 correction to
 >> > Enthalpy") equals 3/2*k*T + k*T since the enthalpy is H = U +
 P*v
 >> > while P*v = k*T for ideal gas - the model for calculating
 >> > thermochemistry Gaussian assumes (where v is the gas volume per
 >> > particle). To obtain Gibbs free energy use the -T*s term where s
 is
 >> > the entropy of ideal gas per particle at given temperature.
 >> >
 >> > Yours sincerely
 >> > Tymofii Nikolaienko
 >> >
 >> >
 >> > 12.04.2012 8:30, Alexander Bagaturyants bagaturyants-.-gmail.com
 >> wrote:
 >> >> Sent to CCL by: "Alexander Bagaturyants"
 >> >> [bagaturyants_-_gmail.com] Dear Arturo, Proton has no internal
 >> >> degrees of freedom; therefore, its energy is zero, if we
 neglect
 its kinetic energy.
 >> >> Naturally, the kinetic energy (of a free proton) can take on
 any
 >> >> value, so that we may speak about so-called dissociation
 threshold.
 >> >> A piece of advice: when you consider chemistry, you should not
 >> >> sometimes forget about physics.
 >> >> Best regards
 >> >> Alexander
 >> >>
 >> >>> -----Original Message-----
 >> >>> From: owner-chemistry+sasha==photonics.ru|,|ccl.net
 >> >>> [mailto:owner-
 >> >>> chemistry+sasha==photonics.ru|,|ccl.net] On Behalf Of
 Arturo
 >> >>> chemistry+Espinosa
 >> >>> artuesp|*|um.es
 >> >>> Sent: 11 April, 2012 21:12
 >> >>> To: Alexander Bagaturyants
 >> >>> Subject: CCL: energy for proton
 >> >>>
 >> >>>
 >> >>> Sent to CCL by: Arturo Espinosa [artuesp(_)um.es] Dear CCL
 users:
 >> >>>
 >> >>> I am trying to compute ZPE-corrected dissociation energies
 for
 >> >>> some particular bonds, in order to correlate these values
 with
 >> >>> other properties computed at the same level (starting
 from,
 let's
 >> >>> say,
 >> >>> B3LYP- D/def2-TZVP). My problem (perhaps a bit stupid)
 comes
 when
 >> >>> dealing with heterolytic dissociations of a A-H bond to
 give A-
 >> >>> (anion) and H+ (a proton). Moreover I am intending to
 compare
 >> >>> this dissociation with the other possible heterolytic
 >> >>> dissociation and even with the homolytic one. Calculation
 of the
 >> >>> A-H and A- species is straighforward (no matter what level
 of
 >> >>> calculation), but the problem is what value (in atomic
 >> >>> units) should I assign to the H+ species. No QC
 calculation is
 >> >>> possible as there are no electrons. I recognize that I am
 a bit
 >> lost.
 >> >>> Suggestions are wellcome.
 >> >>> Thank you in advance and best regards,
 >> >>> Arturo> To recover the email address of the author of
 the
 >> >>> Arturo> message,
 >> >>> please
 >> >>> change the strange characters on the top line to the |,|
 sign.
 >> >>> You can
 >> >>> alsohttp://www.ccl.net/chemistry/sub_unsub.shtmlConferences:>;
 >> >>>
 >> http://server.ccl.net/chemistry/announcements/conferences/http-:-//www
 >> >>> .ccl.net/cgi-
 >> bin/ccl/send_ccl_messagehttp://www.ccl.net/chemistry/su
 >> >>> b_unsub.shtmlhttp://www.ccl.net/spammers.txt===========End of
 >> >>> original message text===========> To recover the email
 address
 of
 >> the author of the message, please
 >> change the strange characters on the top line to the === sign. You
 >> can
 >> also>
 >
 >
 Dr. Thomas Steinbrecher
 formerly at the
 BioMaps Institute
 Rutgers University
 610 Taylor Rd.
 
Piscataway, NJ 08854> To recover the email address of the author of the message, please
 change the strange characters on the top line to the -*- sign. You can
 also>
 
 
 --
 Pedro J. Silva
 Associate Professor
 Universidade Fernando Pessoa
 Porto - Portugal
 http://homepage.ufp.pt/pedros/science/science.htm
 http://biochemicalmatters.blogspot.comhttp-:-//www.ccl.net/cgi-bin/ccl/send_ccl_messagehttp-:-//www.ccl.net/chemistry/sub_unsub.shtmlhttp-:-//www.ccl.net/spammers.txt