(iii) A consequence of the Free Electron approach is that the electron mass me effectively becomes...

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Physics

(iii) A consequence of the Free Electron approach is that theelectron mass me effectively becomes a variable, the so-calledeffective mass, me * , which is governed by the curvature of the Ekvs. k function. Show that where the curvature of this function islarge the effective mass is small. [4 marks]

(iv) It is often found that some ‘useful’ semiconductors such assilicon or gallium arsenide have bands which show a high degree ofcurvature, whereas many insulators do not. Discuss how thisinfluences the properties of each type of material.

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Effective mass    See Answer
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