Question

Determine the first three energy levels 3 of an electron confined to a one dimensional box of length of 10-9 M.

Answer 1

Question #48957, Chemistry, Inorganic Chemistry

Question:

Determine the first three energy levels 3 of an electron confined to a one dimensional box of length of $10^{-9}$ M.

Answer:

$$E _ {1} = \frac {h ^ {2}}{8 m L ^ {2}} = \frac {\left(6.63 \cdot 10 ^ {- 34} J \cdot s\right) ^ {2}}{8 \times 9.1 \cdot 10 ^ {- 31} kg \times \left(10 ^ {- 9} m\right) ^ {2}} = 6.04 \cdot 10 ^ {- 17} J$$ $$E _ {2} = 2 ^ {2} E _ {1} = 4 \times 6.04 \cdot 10 ^ {- 17} J = 2.42 \cdot 10 ^ {- 16} J$$ $$E _ {3} = 3 ^ {2} E _ {1} = 9 \times 6.04 \cdot 10 ^ {- 17} J = 5.43 \cdot 10 ^ {- 16} J$$

https://www.AssignmentExpert.com