Layered Crystals as Porous Materials: the Effect of Ultrasonic Treatment

Authors B.A. Lukiyanets , D.V. Matulka

Lviv Polytechnic National University, 12, Bandera St., Lviv 79013, Ukraine

Issue Volume 13, Year 2021, Number 1
Dates Received 10 June 2020; revised manuscript received 15 February 2021; published online 25 February 2021
Citation B.A. Lukiyanets, D.V. Matulka, J. Nano- Electron. Phys. 13 No 1, 01019 (2021)
PACS Number(s) 73.21.Ac, 73.21.Fg
Keywords Layered crystals, Porous materials, Ultrasonic treatment, Quantum capacitance.

A layered crystal is a set of packets consisting of covalently interconnected several monoatomic planes. At the same time, neighboring packets interact with much weaker van der Waals forces. This is the reason for the sharply anisotropic nature of layered crystals, which allows to largely change their physical properties by such external factors as ultrasonic treatment or intercalation. Layered crystals can be considered as specific porous materials with van der Waals gaps as pores. The Kronig-Penney model was used to describe the changes in the properties of the layered crystal caused by these factors. Since it is experimentally established that such factors lead to the expansion of the layered crystal exclusively due to changes in the van der Waals gap, the proposed modeling was an analysis of the Kronig-Penney model with a change in the only geometric parameter of the crystal – the width of its van der Waals gap. The changes in the electronic spectrum caused by such a change were calculated, and on their basis, the manifestations in the quantum capacity of the layered crystal were analyzed.

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