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Energy Band Structure

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Introduction to Isotopic Materials Science

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 248))

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Abstract

Optical probing and manipulation of electron quantum states in isotope-mixed compounds at the nanoscale are key to developing future nanophotonic devices, which are capable of ultrafast and low-power operation. Before beginning a general discussion on the application of isotopic materials science, it is helpful to have the knowledge of the electronic band structure used in materials. The modern view of solid-state physics is based on the presentation of elementary excitations having mass, quasi-impulse, and electrical charge. The base of such view of solid is ideal gas, which described the behavior of the system, e.g., noninteracting electrons. Such an approach to model of elementary excitations as a suitable model for the application of the quantum mechanics for the solution of solid-state physics task. In this chapter, some peculiarities of isotopic materials science will be considered by taking into account the dependence of the properties of elementary excitations on the isotope effect. It is illustrated when the dimensions of a solid are reduced to the size of the characteristic length of electrons in the isotope-mixed materials (de Broglie wavelength, localization length), new physical properties due to quantum effects become apparent. Our intention has been to physics of low-dimensional isotope-based compounds and quantum devices would built up to the treatment of those new electronic, transport and optical properties.

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  1. Mathematics and Physics Department, Computer Science College, Tallinn, Estonia

    Vladimir G. Plekhanov

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Plekhanov, V.G. (2018). Energy Band Structure. In: Introduction to Isotopic Materials Science. Springer Series in Materials Science, vol 248. Springer, Cham. https://doi.org/10.1007/978-3-319-42261-9_2

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