Factors Contributing to the Accuracy of Harmonic Force Field Calculations for Water



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Table 6. Comparison of contributing factors of uncertainty. RSS represents the square root of the sum of the squares of each contributing factor. |error| represents the average absolute difference between the experimental34 and computed harmonic vibrational frequencies. All units are cm-1.




Factor/Computation




cc-pVTZ/CCSD(T)

aug-cc-pVQZ/CCSD(T)

HF Wavefunction




4.3

1.6

Electron Correlation


4.7

4.7

Valence Electron Interactions


12.8

3.7

Core Electron Interactions


5.0

5.0

Relativistic Effects


2.2

2.2



RSS

|error|




15.3
10.5

8.3
1.7

FIGURE CAPTIONS



Figure 1. Average difference (||) between computed vibrational frequencies with increasing basis set size. Computations were performed at the varying levels of theory and increasing basis set size.
Figure 2. Average difference (|error|) between experimental harmonic frequencies and vibrational frequencies computed with the cc-pVTZ basis set and increasing levels of theory.
Figure 3. Average difference (||) between vibrational frequencies computed with the cc-pVTZ basis set and increasing levels of theory.
Figure 4. Average difference (|error|) between experimental harmonic frequencies and vibrational frequencies computed with the CCSD(T) method and increasing basis set size. All electrons were included in post-SCF calculations in the CCSD(T) core computation. Core electrons were frozen in the other computations.
Figure 5. Average difference (|error|) between experimental harmonic frequencies and relativistically corrected vibrational frequencies computed at the CCSD(T) level of theory with increasing basis set size. CG computations were performed using the Cowan-Griffin method. DK computations were performed using the Douglas-Kroll method.





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