🤓 Based on our data, we think this question is relevant for Professor Billman's class at Abilene Christian University.
We’re asked to determine how many milligrams of 1 ppm phosphorus, P is required to dope (fill in the gaps) a 1 cm3 sample of silicon, Si having a face-centered cubic (FCC) crystal structure and unit cell edge length of 5.43 Å and four atoms per unit cell.
To do so, we need to do these steps:
Step1: Calculate the mass and volume one unit cell of Si to determine its density. Recall that the density cube is given by the equation:
Step 2: Calculate the mass of 1 cm3 sample of Si
Step 3: Determine mass (in mg) of 1 ppm P needed to dope the 1 cm3 sample of Si. Recall that ppm is given by the equation:
Silicon has a face-centered cubic crystal structure with unit cell edge length of 5.43 Å and four atoms per unit cell.
Suppose you dope that 1 - cm3 sample of silicon with 1 ppm of phosphorus that will increase the conductivity by a factor of a million. How many milligrams of phosphorus are required?