W8
Reference: Computational Chemistry Comparison and Benchmark DataBase
•Calculate the structure and frequencies of XHn (X = H~Ne) by using B3LYP theoretical method with 6-31+G(d,p) then compare with the experimental values.
| frequency | H2 | exp | error | LiH | exp | error | BeH2 | exp | error | BH3 | exp | error | CH4 | exp | error | NH3 | exp | error | H2O | exp | error | HF | exp | error |
| Unit: cm-1 | 4465.7 | 4161.2 | 304.48 | 1402.0 | 1359.7 | 42.3 | 735.9 | 697.9 | 38.0 | 1157.6 | 1147.5 | 10.1 | 1347.3 | 1306.0 | 41.3 | 1000.3 | 950.0 | 50.3 | 1603.4 | 1595.0 | 8.4 | 4069.8 | 3961.4 | 108.37 |
| 735.9 | 1205.2 | 1196.7 | 8.5 | 1347.3 | 1673.6 | 1627.0 | 46.6 | 3809.6 | 3657.0 | 152.6 | ||||||||||||||
| 2038.4 | 1205.2 | 1347.3 | 1673.6 | 3931.5 | 3756.0 | 175.5 | ||||||||||||||||||
| 2260.6 | 2159.1 | 101.5 | 2576.8 | 2601.6 | -24.8 | 1563.8 | 1534.0 | 29.8 | 3484.7 | 3337.0 | 147.7 | |||||||||||||
| 2704.4 | 1563.8 | 3627.6 | 3444.0 | 183.6 | ||||||||||||||||||||
| 2704.4 | 3037.1 | 2917 | 120.1 | 3627.6 | ||||||||||||||||||||
| 3150.1 | 3019.0 | 131.1 | ||||||||||||||||||||||
| 3150.1 | ||||||||||||||||||||||||
| 3150.1 |
•Calculate the single point energy of XHn (X = H~Ne) by using CCSD(T) theoretical method with aug-cc-pVTZ ( the structure obtained from the previous homework ), and then use those energy to calculate the standard enthalpy of formation (ΔH°f) then compare with the experimental values.
| unit : kcal/mol | Exp | CCSDT/aug-cc-pVTZ of B3LYP/6-31+G** |
CCSDT/aug-cc-pVTZ of B3LYP/aptz |
CCSDT/aug-cc-pVTZ of MP2/6-31+G** |
CCSDT/aug-cc-pVTZ of MP2/aptz |
| H2 | 0.0 | 1.0 | 1.0 | 1.2 | 1.1 |
| LiH | 33.6 | 34.3 | 34.4 | 34.3 | 34.3 |
| BeH2 | 30.0 | 42.3 | 42.4 | 42.4 | 42.4 |
| BH3 | 21.0 | 27.3 | 27.3 | 27.5 | 27.4 |
| CH4 | -17.8 | -11.6 | -11.3 | -11.4 | -11.3 |
| NH3 | -11.0 | -4.2 | -4.2 | -4.1 | -4.1 |
| H2O | -57.8 | -53.3 | -53.3 | -53.3 | -53.2 |
| HF | -65.3 | -63.3 | -63.3 | -63.3 | -63.2 |
experimental value: Computational Chemistry Comparison and Benchmark DataBase
| unit:kcal/mol | CCSDT/aug-cc-pVTZ of B3LYP/6-31+G** |
CCSDT/aug-cc-pVTZ of B3LYP/aptz |
CCSDT/aug-cc-pVTZ of MP2/6-31+G** |
CCSDT/aug-cc-pVTZ of MP2/aptz |
| MAE | 4.975 | 5.0375 | 5.075 | 5.0875 |
Conclusion : Use different theoretical method and basis set didn't get significant difference
