IJFANS International Journal of Food and Nutritional Sciences

ISSN PRINT 2319 1775 Online 2320-7876

Co-linear study between the effective Band Mass in a solid and free electron mass with reference to Kronig-Penney Model

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Miss.Supriya Lahanbhau Dengale

Abstract

A model used to look at the characteristics of electrons trapped in a periodic function is Model Kronig-Penney. This model is useful due to the fact that Bloch's theorem permits an analytical look at the electronic proper ties. The electron's powerful mass is a key concept that effects the resulting electron band principle. The so-calledpowerful mass theorem," which we follow in the Kronig-Penney model, permits us to ask and reply to the subsequent questions: to what extent does the powerful electron mass rely on the mass of free electrons in addition to the residences of the recurring potential? With this principle and specific computations using the Kronig-Penney paradigm, we reveal the transition from a weak recurring state capability to a strong periodic capability. This paper additionally addresses the unique scenario of the Dirac-comb model. Among other subjects, we show, using the powerful mass theorem, that an imbalance inside the hundreds of electrons and holes is often anticipated, although electron-electron interactions are not present to contribute.

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