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Thermochemistry in Gaussian. The Internal Thermal Energy The internal thermal energy can be obtaine from the partition function, q. The contributions.

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Presentation on theme: "Thermochemistry in Gaussian. The Internal Thermal Energy The internal thermal energy can be obtaine from the partition function, q. The contributions."— Presentation transcript:

1 Thermochemistry in Gaussian

2 The Internal Thermal Energy The internal thermal energy can be obtaine from the partition function, q. The contributions to partition functions. Translational partition function; q t Rotational partition function; q r Vibrational partition function; q v Electronic partition function; q e

3 Contributions from Translation Translational partition function Contribution to internal thermal energy

4 Contributions from Electronic motion Electronic partition function Contribution to internal thermal energy

5 Contributions from Rotation Rotational partition function Contribution to internal thermal energy

6 Contributions from Vibration Vibrational partition function Contribution to internal thermal energy

7 Symbols

8 Output from Gaussian Frequency Calculation Zero point energy

9 Thermal Correction Thermal Correction to Energy Thermal Correction to Enthalpy Thermal Correction To Gibbs Free Energy

10 Total Energy Total electronic energy = Sum of electronic & ZPE = Sum of electronic & T energy = Sum of electronic & T enthalpy = Sum of electronic & T free energy =

11 Individual Contributions Individual contributions to E tot, C tot and S tot Individual contributions to partition functions

12 Example H-abstraction reaction

13

14 Rate of Reaction

15 Energies Calculation Atomization energy of molecule Heat of formation of atoms at 0 K (expt.) Enthalpy correction of atomic element Enthalpy correction for molecule Entropy for atoms 25 °C (expt.) Entropy for molecules 25 °C =

16 Heat of Formation


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