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== EXERCISE 1: H + H2 system ==
===Dynamics from the transition state region===
The transition structure is the maximum on the minimum energy path whereas the minimum is at the minimum point on the path. At a minimum and a transition structure, the total gradient of the potential energy surface is 0. On the potential energy surface diagram, the transition structure will be the saddle point which is the local maximum on the path which will have a negative value for the second derivative. Meanwhile, the minimum will be the local minimum on the path which has a positive value for the second derivative. The transition structure will be indicated by negative curvature whereas as the minimum has positive curvature.

===Locate the transition state===
[[File:po.PNG]]

At this value of r, the system will reach a transition structure which is the maximum point on the minimum energy path. The transition state position is when '''r<sub>1 =</sub>''' '''r<sub>2</sub>''' so it is expected that on the internuclear distances vs time plot will show that the distances of AB and BC will be the same in the time frame.And the distance AC will be double of that of AB or BC which is the sum of AB and BC.

===MEP and Dynamics===
[[File:MEshishi.PNG]]
[[File:dynamicsshuishui.PNG]]

MEP shows the direction of the reaction. For example, the reaction will be forming product if the trajectory of MEP is going towards the direction of the product. The reaction is not forming product if the trajectory is proceeding towards reactants. On MEP, it doesn't show the change in potential energy whereas it will be shown on dynamics plot. 

===Reactive and unreactive trajectories ===
{| class="wikitable" border="1"
|+ Reactive and unreactive trajectories
! Surface Plot !! p<sub>1</sub> !! p<sub>2</sub> !! Reactive or unreactive trajectory? !! Description 
|-
|[[File:1ni.PNG|256px]] || -1.25 || -2.5 || Reactive || Products are formed since the system can overcome the activation barrier. 
|-
|[[File:2wo.PNG|256px]] || -1.50 || -2.0 || Unreactive|| The system don't have enough energy to overcome the activation barrier and the reactants stay as reactants after they reach the transition structure.
|-
|[[File:3ta.PNG|256px]] || -1.50 || -2.5 || Reactive || The system have enough translational and vibrational energy to overcome the barrier to proceed to the product channel to form products. 
|-
|[[File:4nimen.PNG|256px]] || -2.50 || -5.0 || Unreactive || This is barrier re crossing as the system first had enough energy to pass through the barrier but at the end it bounce back to the reactant channel to reform reactants.
|-
|[[File:5women.PNG|256px]] || -2.50 || -5.2 || Reactive || This is also barrier re-crossing, but in this system, it has been able to have enough energy to rebounce at the reactants channel to proceed to product channel to form products. 
|}

===Assumptions of Transition State Theory===
The transition state theory assumes that there is a quasi-equilibrium between reactants and transition state, and when it reaches the equilibrium, the system will form product. But as it is shown in the example above, this is not necessary the case as indicated in the 4th example that the system has passed through the activation barrier but it bounces back to the reactants channel to reproduce the reactants and the reaction wasn't successful.

== EXERCISE 2: F - H - H system ==
===Reaction of F and H<sub>2</sub>===
The reaction of F and H<sub>2</sub> to form HF and H. The reaction will be exothermic, because the energy results from bond forming and breaking. In this reaction, H-H bond are being broken which needs to absorb energy and H-F bonds are being formed which will release energy. Since H-F is a stronger bond than H-H, thus energy will be given out which means this reaction is exothermic.
The reaction of HF and H to form  F and H<sub>2</sub>. The reaction will be endothermic, because more energy are absorbed than that being released.

===Locate the transition state===
The transition position is when HF has a distance of 1.81 and HH has a distance of 0.745.
[[File:woahahah.PNG]]

===Activation Energy===
Activation energy (form HF and F)= 0.6kJ/mol
Activation energy (form F and H<sub>2</sub> )=30.6 kJ/mol
===Reaction Dynamics===

===Transition State Position and Distribution of Energy===
The amount of translatinoal and virational energy will affect whether the reaction can be reactive or not.