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1.Find the transition state and calculate the barrier height (ΔV) for the following reaction.
reaction:HNC → HCN
methods : MP2/aug-cc-pVTZ、MP2/6-31+G**

Units:hartrees(negative values), kcal/mol(positives ones)

Table1. Calculated energy and barrier heights.

MP2/6-31+G** MP2/aptz
HNC -93.14306 -93.23130
TS -93.08701 -93.17648
Barrier height 35.2 34.4

The calculate barrier by MP2/aptz is 0.8 kcal/mol lower than that by MP2/6-31+G**.

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2.Calculate the k(rate constant) in different temperatures (at least 3 different temperatures) for the following reaction and plot of ln(k) versus 1000/T then compare with the experimental values. 

reaction:CH4 +OH․→ H2O + CH3․
reaction:CD4 +OH․→ H2O(1 H will replace by D) + CD3․
methods : MP2/aug-cc-pVTZ、MP2/6-31+G**

Hint: The plot should be an Arrhenius plot

reference: https://doi.org/10.1063/1.4811329

Units: cm3 molecule−1 s−1

CH4+OH 298.15K 273.15K 373.15K
exp value 6.3*10^-15 4.30*10^-15 2.68*10^-14
MP2/6-31+G** 2.52*10^-17 2.77*10^-17 1.02*10^-15
MP2/aptz 9.97*10^-15 4.82*10^-15 5.08*10^-14

 

CD4+OH 298.15K 273.15K 373.15K
exp value 4.64*10^-14 N/A N/A
MP2/6-31+G** 9.85*10^-18 2.53*10^-18 2.02*10^-16
MP2/aptz 1.56*10^-15 5.29*10^-16 1.15*10^-14

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