Biomedical Engineering Reference
In-Depth Information
1.4
·
10
8
1.2
·
10
8
1
·
10
8
8
·
10
7
6
·
10
7
-10
-5
0
Variable
5
10
Figure 11.12
Square of vibrational wavefunction v
=
30
for dinitrogen
The classical model predicts that the maximum of probability is when the particle is at the
ends of its vibrations (when it is stationary). The quantum mechanical model seems quite
different, since the
v
0 solution has a probability maximum half way along the bond.
The operation of the correspondence principle should be clear once we consider higher
quantum numbers. Even by
v
=
5 it is becoming clear that the maxima are moving toward
the ends of the vibration. Examination of
v
=
30 as shown in Figure 11.12 confirms the
trend, which in any case can be deduced analytically.
=
