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Carlier Group Gaussian User Manual - Virginia Tech

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<strong>Carlier</strong> <strong>Group</strong> <strong>Gaussian</strong> <strong>User</strong> <strong>Manual</strong> 35<br />

this manual for a detailed explanation of the sources of thermodynamic quantities,<br />

thermochemical output, and some worked-out examples.<br />

B. Setting up a calculation to obtain thermodynamic parameters<br />

Adding the ‘freq’ keyword to the route section prompts <strong>Gaussian</strong> to start calculating<br />

frequencies and thermodynamic parameters once the geometry is optimized. Note that<br />

the geometry of the structure must be optimized to obtain reliable thermodynamic data.<br />

Example:<br />

# rb3lyp/6-31g(d) opt freq<br />

It is important to note how these values are actually calculated. Free energy (G),<br />

enthalpy (H), entropy (S), and zero-point corrections are all derived from the vibrational<br />

frequencies of the optimized structure. These values are calculated as correction<br />

factors to be added to the original electronic energy. The example below shows how<br />

enthalpy (H) would be determined for an optimized structure:<br />

Example [thf: calculated at B3LYP/6-31G*]:<br />

A) Electronic energy=-233.449443 (hartrees)<br />

B) Thermal correction to enthalpy=0.123272 (hartrees)<br />

C) Therefore H = Electronic energy + enthalpic correction = -233.326171<br />

(hartrees)<br />

Multiplying this result by 627.51 will convert units to kcal/mol<br />

-233.326171 (hartrees) * 627.51 kcal/mol/hartree = -145786.9955<br />

kcal/mol<br />

This procedure must be applied to each molecular species in a thermodynamic cycle in<br />

order to obtain valid thermodynamic parameters.<br />

C. Locating thermodynamic data in the output file<br />

i. To get the thermal and free energy corrections to enthalpy<br />

pcarlier@inferno2:~/run> egrep correction h0498.out<br />

Zero-point correction= 0.147025<br />

(Hartree/Particle)<br />

Thermal correction to Energy= 0.152503<br />

Thermal correction to Enthalpy= 0.153447<br />

Thermal correction to Gibbs Free Energy= 0.119061<br />

Now you can take these corrections and apply them the electronic energy. This is<br />

especially convenient when you plan to apply the free energy correction at a lower basis<br />

(e.g. B3LYP/6-31G*) to a higher basis single point energy, or a PCM-corrected

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