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Chapter 39: Q.51 (page 1140)

Consider the electron wave function

蠄x=cxx鈮�1nmcxx鈮�1nm

where x is in nm. a. Determine the normalization constant c.

b. Draw a graph of c1x2 over the interval -5 nm 鈥� x 鈥� 5 nm. Provide numerical scales on both axes.

c. Draw a graph of 0 c1x2 0 2 over the interval -5 nm 鈥� x 鈥� 5 nm. Provide numerical scales.

d. If 106 electrons are detected, how many will be in the interval -1.0 nm 鈥� x 鈥� 1.0 nm?

Short Answer

Expert verified

The wave function of the electron蠄x=cxx鈮�1nmcxx鈮�1nm

Step by step solution

01

The probability independent

鈭�-鈭�+鈭�蠄xdx=1鈭�-鈭�+鈭�蠄xdx+鈭�-11蠄xdx+鈭�12蠄xdx=1鈭�-鈭�+鈭�cx2dx+鈭�-11cxdx+鈭�12cx2dx=1c2223=1

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