THIS IS THE HOMEWORK THAT\'S DUE TOMORROW...please give me a complete solution i

Question

THIS IS THE HOMEWORK THAT'S DUE TOMORROW...please give me a complete solution instead of pasting any publications.

thanks!!

A hydrogen molecule in it's ground vibrational state with KE = 10eV collides with heavy atom metal surface and no energy is transferred to the surface, i.e., the surface can be modeled as an infinite potential wall. The molecule/surface collision can be modeled as freely moving molecule in 1-D both before and after the collision. The collision is otherwise inelastic so some of the transitional energy is transferred to into higher vibrational states of the molecule. Please look-up the necessary constants and reference your sources. Why can the rotational states of the molecule not be considered in this model! Before the collision what is the complete Eigen-function of the molecule assuming the surface is located X = 0, and V(X 0)= infinity and V(X > 0) = 0 and that the molecule is located at a position X > > 0, which means the molecule can be treated as a free mass in the region 0 0, the vibrational state [un-normalized) of the molecule is | psi = |0 + 2| 1 + 3 | 2 + 2 | 3 + | 4 , where | n > are the vibrational Eigen-states, with Eigen-value En = omega (n + 1 / 2) what is the average vibrational energy of the molecule? Using the conservation total of energy between the kinetic and vibrational energy what is the average kinetic energy of the out-going molecule after the collsion? Bonus question: what is the complete "wave-function" of the molecule at any point X > 0 and what is the complete wave-function for X 0? Explain is would predicted to happen from the total wave function for X > 0? Remember this is half of the 1-D square well problem! Email answer to this part of the problem to me separately, ok! It's worth 20 extra points.

Explanation / Answer

follow this he kinetic isotope effect (KIE) is the ratio of reaction rates of two different isotopically labeled molecules in a chemical reaction. It is also called "isotope fractionation," although this term is somewhat broader in meaning. A KIE involving a lighter and a heavier isotope is represented as: where kj and ki stand for the reaction rate constant of the light and the heavy isotope respectively. The often found expression , does not specify what this value is. Hence it is recommended not to consider rotational states

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