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Description
Semiconductor nanoplatelets (NPL) are quasi-two-dimensional systems occupying an intermediate position between quantum wells and quantum dots [1]. NPL is considered a promising area for the role of an elementary base for semiconductor devices of a new generation and various applications including ion channeling, sensing, green energetics, etc. [2-5].
The single-electron spectrum in NPL has a pronounced subband character when each level of axial quantization (Oz) is associated with a family of levels characterizing the state of the electron in the NPL cross-section plane [6-8]. In this regard, the movement of one particle within each subband is two-dimensional. NPL has several interesting physical characteristics [9-10]: electronic, optical, excitonic, etc.
If a several-particle electron gas is localized inside the NPL, it will exhibit statistical properties. At low densities and high temperatures of the electron gas, one can use Boltzmann statistics for an ideal gas. For the lower temperatures, we need to use Fermi – Dirac statistics.
The thermodynamic characteristics of weakly interacting electron gas in CdSe NPL are studied theoretically. Thermodynamic characteristics including free energy, entropy, and heat capacity are calculated in the framework of Boltzmann and Fermi – Dirac statistics. The main results are obtained in terms of the Ramanujan theta function. The dependencies of the entropy and heat capacity on the size of the NPL are determined.
References
1. B.T. Diroll. et al. 2D II-VI Semiconductor Nanoplatelets: From Material Synthesis to Optoelectronic Integration. Chem Rev. 2023 Apr 12;123(7):3543-3624. doi: 10.1021/acs.chemrev.2c00436
2. T. Arunkumar. et al. Sustainable solar desalination through interfacial evaporation: Integration of chitosan aerogel-impregnated graphene nanoplatelets solar evaporator and phase change material. Desalination. 2024, 572,117102. https://doi.org/10.1016/j.desal.2023.117102
3. X. Li. et al. Dimensional diversity (0D, 1D, 2D, and 3D) in perovskite solar cells: exploring the potential of mixed-dimensional integrations. Chem. A, 2024,12, 4421-4440. https://doi.org/10.1039/D3TA06953B
4. J. Pietryga et al. Spectroscopic and Device Aspects of Nanocrystal Quantum Dots. Chem. Rev. 2024, 124, 3, 768–859. https://doi.org/10.1021/acs.chemrev.6b00169
5. Niu, C.H. Chen, H.Y. Wang, S.C. Wu, C.P. Lee, Ion-channeling studies of InAs/GaAs quantum dots. NIMB 241 (2005) 470. https://doi.org/10.1016/j.nimb.2005.07.094
6. D. Baghdasaryan. et al. Exciton States and Optical Absorption in CdSe and PbS Nanoplatelets. Nanomaterials 2022, 12, 3690. https://doi.org/10.3390/nano12203690
7. S. Goupalov. Carrier confinement and interband optical transitions in lead chalcogenide quantum wells, nanosheets, and nanoplatelets. Nanoscale. 2023,15. 1230-1235. https://doi.org/10.1039/D2NR02942A
8. A. Oakes. et al. An infinite square-well potential as a limiting case of a square-well potential in a minimal-length scenario. International Journal of Modern Physics A. 2020. 35(14):2050069. http://dx.doi.org/10.1142/S0217751X20500694
