Giant Friedel Oscillations on the Beryllium(0001) Surface

Large-amplitude electron density oscillations were observed on a Be(0001) surface by means of variable-temperature scanning tunneling microscopy. Fourier transforms of the images showed a ring of radius 2kF, where kF is the Fermi wave vector of the Be(0001) surface state. This wavelength was expected from Friedel oscillations caused by electronic screening of surface defects, but the amplitude of the waves for energies near the Fermi energy was anomalously large and inconsistent with the Friedel concept of screening. The enhanced amplitude of the waves must be a many-body effect, either in the electron gas (possibly an incipient charge density wave) or in the response of the lattice (electron-phonon coupling).     

Computer graphics as an aid to learning

Departing from the traditional model for teaching and learning, this article deals with the problem of teaching and learning the effective application of knowledge already acquired. To this end, a model for the process of exercising judgment was outlined, and the results of an empirical study of judgmental learning were employed to show the inadequacy of the traditional outcome feedback procedures. Computer graphics techniques were used to provide new forms of information to the learner; the results are promising for the rapid learning of a task that would otherwise be difficult to learn.