Silicon rods used in the manufacture of chips can be prepared by the Czocliralsk

Question

Silicon rods used in the manufacture of chips can be prepared by the Czocliralski (LEC) process in which a cylinder of rotating silicon is slowly drawn from a heated bath. Examine Figure P3.1.18. If the initial bath contains 62 kg of silicon, and a cylindrical ingot 17.5 cm in diameter is to be removed slowly from the melt at the rate of 3 mm/min, how long will it take to remove one-half of the silicon? What is the accumulation of silicon in the melt? Assume that the silicon ingot has a specific gravity of 2.33.

Explanation / Answer

Accumulation of silicon =   62 * (3.14 * 0.0875 * 0.0875)/2.33

                                     = 0.6397 kg

long it will take to remove one half of silicon = (62 * 2.33 * 10-3)/(2 * 3 * 1.67 * 10-5)

                                                                      = 24.028 minutes

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