« · »

Java Security Update: Oracle has updated the security settings needed to run Physlets.
Click here for help on updating Java and setting Java security.

Section 14.6: Exploring Molecular and Nuclear Wave Packets



Please wait for the animation to completely load.

This Exploration shows the same initial Gaussian wave packet in either a double anharmonic oscillator well or a finite well created to depict molecular or nuclear wave packets, respectively. Specifically,

One-dimensional Double Well: An anharmonic oscillator with an added negative harmonic oscillator piece, V(x) = V0x4 − 10V1x2.  This double well can be used as a model for the ammonia molecule, NH3.  In this molecule, the three hydrogen atoms form an equilateral triangle and the nitrogen atom oscillates through the plane of the hydrogen atoms forming a pyramid shape. The potential energy function the nitrogen experiences in its oscillations is modeled relatively well by this double well potential.

Radial Finite Well: A finite well with a Coulomb tail, V(r) = −V0 for r < a and V(r) is proportional to 1/r for r > a.  This well can serve as a model for an alpha particle in a nucleus.

  1. For the molecular wave packet animation, what happens to the packet over time?  What do you notice about how the wave function behaves when E < V and E > V?  What do you notice about the probability for x < 0 and x > 0?
  2. For the nuclear wave packet animation, what happens to the packet over time?  What do you notice about the probability for x < 2 and x > 2?  Can you extrapolate to what will happen to the probability of x > 2 over time?
The OSP Network:
Open Source Physics - Tracker - EJS Modeling
Physlet Physics
Physlet Quantum Physics