ABSTRACT

FIGURE 5.1 Bohr model for the phosphorus donor in silicon (or germanium), where P+ is the ion and e− is the electron.

and inserting Equation 5.5 for r yields

(5.9)

E m e n

=− ∗1

2 4 14

The donor binding energy Ed is the energy required to bring the electron from the ground state (n = 1) to the conduction-band minimum, here set to be E = 0:

(5.10)

E m e m md

= = 

 

    

  

∗ ∗1 2 4

13 6 1 4

( . ) piεε

eV ε

On an energy band diagram, the donor level (0/+) is indicated by a horizontal line an amount Ed below the conduction-band minimum (Figure 2.2).