Solutions for LCAO model exercises¶
Question 1¶
- See lecture notes.
- The atomic number of Tungsten is 74:
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Question 2¶
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$$ \psi(x) = \begin{cases} &\sqrt{κ}e^{κ(x-x_1)}, x
x_1 \end{cases} $$ Where . The energy is given by The wave function of a single delta peak is given by can be found by replacing by -
-
Where and
Question 3¶
1.
2.
3.
The eigenstates of the Hamiltonian are given by:
4.