An engineer must grow a 8" diameter, 6 foot long boule of n-type Si where the doping concentration is 4 x 1014 cm-3 at the midpoint of the boule.
a. What dopant should the engineer use to obtain the largest fraction of the boule with a doping concentration between 2 - 6 x 1014 cm-3?
b. What is the range in resistivity values for this doping variation?
c. What is the weights of the dopant and Si that should be used as the melt?
d. Design a process in which you determine weights of the dopant and Si that should be in the initial melt and the weights of the dopant and/or Si that should added once at some point during the growth of the boule to yield a largest possible fraction of the boule that will meet the doping concentration range.