Abstract It is shown that the dielectric permittivity ϵ is a useful concept for the description of interband transitions and plasmon excitation in electron energy loss spectroscopy (EELS). After a brief introduction to what is necessary for understanding EELS in the framework of Maxwell theory (which is best suited to reveal the close relationship between such different experimental techniques as optical spectroscopy and EELS), examples are given from recent work in the field. Two problems from plasmon spectroscopy, viz. dispersion of the plasmon in Al and plural scattering, demonstrate that the theory of collective oscillations in the electron gas is far from being solved. Recently, powerful techniques have been devised for quantitative interpretation of interband transition in EELS. Examples show that EELS is advantageous over optical spectroscopy in many aspects. The dielectric theory of layered two-dimensional systems is of current interest in the theoretical and experimental investigation of modulation-doped superlattices and intercalated structures. There is reason to hope that, by properly choosing the parameters of the superlattice, new decay channels can be opened for excited electrons in a formerly inaccessible energy-momentum range, thus giving rise to new and unexpected phenomena. At present, surface plasmons are of interest mainly in the study of the two-dimensional electron gas (2DEG). Besides a number of unique electronic features, collective surface modes have gained practical importance in the design of far-infrared emitters (FIREs), solar cells and flat TV screens. Two examples are discussed: the FIRE, a simple device which in the long run might replace infrared light-emitting diodes, and the use of surface modes in high resolution electron spectroscopy.
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