PS+1 - Physics 113B Fall 2010 Problem Set #1 (Due Monday,...

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Physics 113B Fall 2010 Problem Set #1 (Due Monday, October 4, 2010) Particle-in-a-Box: an Electron in a One-Dimensional Box The figure on the next page shows standing wave patterns observed in an atomic chain assembled from 20 Pd atoms using a scanning tunneling microscope to manipulate individual Pd atoms on a NiAl(110) surface at 12 K. The NiAl(110) surface provides a one-dimensional template for the assembly of the chain. The standing wave patterns are the electronic density of states which are proportional to the differential conductance (dI/dV) measured by the scanning tunneling microscope. Each image is a display of the spatial distribution of the dI/dV intensity. To generate each image, the tip is scanned over the displayed area and dI/dV signal is recorded at each point. The curves in the middle of the figure show cross sectional plots of the dI/dV intensity along the chain from the images. The voltages correspond to the sample bias and when multiplied by the magnitude of the electron charge give the energies of the standing wave states. (a) Obtain from the data the wavelength
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This note was uploaded on 11/26/2010 for the course PHYS Physics 11 taught by Professor Wilsonho during the Winter '10 term at UC Irvine.

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PS+1 - Physics 113B Fall 2010 Problem Set #1 (Due Monday,...

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