U(x,y)=Asin(pi*x/Lx) + Bcos(pi*y/Ly) where A,B,Lx,Ly are positive(adsbygoogle = window.adsbygoogle || []).push({});

1 Locate all the stationary points (i.e. minima, maxima and transition states

(TS)) for this potential.

a. What is the periodicity of U(x,y) along the two directions?

b. Derive the TS barriers that an atom diffusing on the surface would

have to surmount during a “jump” between two minima as a function

of A and B.

c. Using information about the shape of U(x,y), propose possible

analytical curves separating the basin of attraction of adjacent minima.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Transition state

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