TURBOMOLE Users Forum
TURBOMOLE Modules => Molecular Properties, Wavefunction Analysis, and Interfaces to Visualization Tools => Topic started by: Dempsey on March 04, 2022, 03:51:44 PM
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Dear Users,
Could you please clarify what some of the values are in the freeH output, there's no information on this in the manual. The value "chem. pot." is consistent with H - TS so I think this is my Gibbs free energy, could you please confirm this? If so, what exactly is this "energy" value? I'm not familiar with the equation given here.
freeh.out:
zero point vibrational energy
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zpe= 252.3 kJ/mol
T p ln(qtrans) ln(qrot) ln(qvib) chem.pot. energy entropy
(K) (MPa) (kJ/mol) (kJ/mol) (kJ/mol/K)
298.15 0.1000000 17.43 12.00 11.71 150.32 288.52 0.47182
T P Cv Cp enthalpy
(K) (MPa) (kJ/mol-K) (kJ/mol-K) (kJ/mol)
298.15 0.1000000 0.1783006 0.1866149 291.00
******************************************************
| qtrans=(m*k*T/(2*pi))^1.5*v h/(2*pi)=1a.u.(omitted)|
| m=mol. mass in a.u. v=vol. per mol. of ideal gas |
| qvib=product(i) 1/(1-exp(-e(i)/kT) |
| e(i)=frequency of i-th vibrational mode |
| qrot=((2*pi*kT)^3*A*B*C)^0.5/(sigma*pi) |
| A,B,C=moments of inertia in a.u. |
| qrot=2*pi*kT*A/(sigma*pi) for lin. mol. |
| chem.pot.=ZPE-RT*ln(qtrans*qrot*qvib) |
| ZPE=zero point vibrational energy |
| energy=ZPE+3RT |
| +sum(i) e(i)*(1+exp(-e(i)/kT))/2*(1-exp(-e(i)/kT) |
| =3/2RT for atoms etc. |
| enthalpy=energy+RT |
| entropy=(energy+RT-chem.pot.)/T |
| const.vol.Heat Capacity : Cv=d(energy)/dT |
| const.press.Heat Capacity : Cp=d(enthalpy)/dT |
| These formulas are applicable only if |
| * rotation can be treated classically |
| * the molecule forms an ideal gas/solution |
| * the harmonic approximation to vibrational |
| modes is not grossly misleading |
| Electronic (SCF or MP2) energies still have |
| to be added to obtain "absolute potentials" |
| for chemical equilibrium constants. |
******************************************************
Thanks,
Dempsey
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Hello,
indeed, chem. pot. is the Gibbs free energy.
What is defined as energy can also be called the contributions to internal thermal energy.
Best regards
Arnim
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Dear Arnim,
Thanks for confirming.
Best,
Dempsey