Quantum mechanical model of localized electrons on the surface of polymer nanospheres

Stephen K. Gray; Bobby G. Sumpter; Donald W. Noid; Michael D. Barnes

doi:10.1016/S0009-2614(00)01377-4

Quantum mechanical model of localized electrons on the surface of polymer nanospheres

Stephen K. Gray, Bobby G. Sumpter, Donald W. Noid, Michael D. Barnes

Center for Nanophase Matls Sciences

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We examine the quantum mechanics of a simple model for charged dielectric nanospheres called quantum drops. The model, previously introduced in semiclassical quantization work, involves one electron moving in an effective potential field due to N-1 other electrons on the surface of a nanosphere. We discuss how electron confinement occurs and how energy levels exhibit scaling properties similar to those expected for a particle moving in a restricted, two-dimensional area.

Original language	English
Pages (from-to)	308-313
Number of pages	6
Journal	Chemical Physics Letters
Volume	333
Issue number	3-4
DOIs	https://doi.org/10.1016/S0009-2614(00)01377-4
State	Published - Jan 12 2001

Funding

S.K.G. was supported by the Office of Basic Energy Sciences, Division of Chemical Sciences, US Department of Energy under Contract No. W-31-109-ENG-38. The ORNL researchers were sponsored by the Laboratory Directed Research and Development Program of Oak Ridge National Laboratory, managed by UT-Battelle, LLC, for the US Department of Energy under Contract No. DE-AC05-00OR22725.

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10.1016/S0009-2614(00)01377-4

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abstract = "We examine the quantum mechanics of a simple model for charged dielectric nanospheres called quantum drops. The model, previously introduced in semiclassical quantization work, involves one electron moving in an effective potential field due to N-1 other electrons on the surface of a nanosphere. We discuss how electron confinement occurs and how energy levels exhibit scaling properties similar to those expected for a particle moving in a restricted, two-dimensional area.",

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N2 - We examine the quantum mechanics of a simple model for charged dielectric nanospheres called quantum drops. The model, previously introduced in semiclassical quantization work, involves one electron moving in an effective potential field due to N-1 other electrons on the surface of a nanosphere. We discuss how electron confinement occurs and how energy levels exhibit scaling properties similar to those expected for a particle moving in a restricted, two-dimensional area.

AB - We examine the quantum mechanics of a simple model for charged dielectric nanospheres called quantum drops. The model, previously introduced in semiclassical quantization work, involves one electron moving in an effective potential field due to N-1 other electrons on the surface of a nanosphere. We discuss how electron confinement occurs and how energy levels exhibit scaling properties similar to those expected for a particle moving in a restricted, two-dimensional area.

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Quantum mechanical model of localized electrons on the surface of polymer nanospheres

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