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Q2) See Figure 3-9 and it’s explanation. Provide figure(s) akin to Figure 3-9 an

ID: 2082271 • Letter: Q

Question

Q2) See Figure 3-9 and it’s explanation.   Provide figure(s) akin to Figure 3-9 and step by step, detailed explanation, for a hole instead of the electron.  

Figure 3-9 Superimposition of the (E,k) band structure on the E versus position simplified band diagram for a semiconductor in an electric field Electron energies increase going up, while hole en- ergies increase going down. Simi- larly, electron and hole wave vectors point in opposite directions and these charge car- riers move oppor site to each other, as shown. Electron K.E Electron Hole A Electron energy Hole energy

Explanation / Answer

k is the the wave vector. Crystalline material, similar to that of semiconductor device, is have a episodic structure. each point in the periodic atomic arrangement can be on paper as a position of vectors {R} which typify the crystal. The vectors {R} is connected to mutual of web vectors {K}, which is distinct as exp (i*K*R) = 1. The periodicity of the web also signify that what time an electron traveling during a crystal will meet an electrostatic potential with the similar periodicity. This is due to the usual agreement of the absolutely emotional nuclei in the crystal atoms. Due to episodic nature possible can be spoken in form of a Fourier series where non zero terms exp(i*k*r) are persons for which k is a vector on the mutual lattice {K} of the crystal. The movement of the electron in a periodic potential can also be represent in terms of a purpose of the form exp(i*k*r) (this is called Blochs theorem), consequently the wave vector k is a extremely helpful mathematical formalism for express both the movement of electrons and the natural world of an electrostatic potential in a crystal.