When arsenic is used to dope silicon, the fifth arsenic electron and the As⁺ ion act like a hydrogen atom system, except that the potential function V(r) and the electron mass must be modified as described in Section 10-7 to account for the crystal lattice. With these modifications, 

(a) Solve the Schrödinger equation, using the solution in Chapter 7 as a guide.

(b) Obtain Equation 10-43, and 

(c) Sketch a properly scaled energy-level diagram for the fifth electron for n = 1 through 5.

Transcribed Image Text:

E. = ke2 2 (²² 2 me 2 K 글(2) 2 m*1 2 Kn 2 10-43