Concise Physical Chemistry

c16 JWBS043-Rogers September 13, 2010 11:28 Printer Name: Yet to Come

266 WAVE MECHANICS OF SIMPLE SYSTEMS

to

E=

n^2 h^2

8 m^2

Problem 16.8

What is the probability of finding an electron within one Bohr radius of the nucleus

of the hydrogen atom?

Problem 16.9

The normalized wave function for a particle in a one-dimensional box of unit length

is

(x)=

√

2sin

2 πx

λ

wherextells you where you are on the excursion of the particle in the one-dimensional

x-space. What is the probability of finding a particle in the first quarter of its excursion?