Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Explanation of the Nano Quantum Electron Transport From Populated Occupied Higher Bound Energy States to Unoccupied Lower States

Version 1 : Received: 26 October 2022 / Approved: 1 November 2022 / Online: 1 November 2022 (02:18:29 CET)

How to cite: A.Ahmed, N. I.; Alamri, M. A.; Sonia, S.; Saad, Z. A. A. A. Explanation of the Nano Quantum Electron Transport From Populated Occupied Higher Bound Energy States to Unoccupied Lower States. Preprints 2022, 2022110009. https://doi.org/10.20944/preprints202211.0009.v1 A.Ahmed, N. I.; Alamri, M. A.; Sonia, S.; Saad, Z. A. A. A. Explanation of the Nano Quantum Electron Transport From Populated Occupied Higher Bound Energy States to Unoccupied Lower States. Preprints 2022, 2022110009. https://doi.org/10.20944/preprints202211.0009.v1

Abstract

Maxwell's electric equation and Schrödinger quantum equation are used to find useful expressions for the probability of electrons existence and the electrons transport. The first expression which uses special relatively also shows that the probability of the electrons existence is higher for lower energy states compared to higher energy states where the probability is low. This means that electrons transport takes place from higher energy states to lower states. This conforms to the laws of chemistry where the atom tends to be stable by forcing electrons to occupy lower energy states. The second expression used the momentum velocity relation instead of special relatively. This expression shows also electrons transport from higher to lower states. It also shows that the probability of the electrons existence is higher for lower electrons density regions and lower for higher electrons density regions. This means that the electrons transport is from higher density regions to lower density regions. This conforms to the diffusion law.

Keywords

Maxwell's electric equation, Schrödinger equation, probability, transport, electron, energy states, diffusion, stable atom

Subject

Chemistry and Materials Science, Applied Chemistry

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