X is an IC manufacturing company. They have an order for 9900 IC chips. They started their manufacturing process with 10 silicon ingots each with a radius of 7 cm. Each die should have an area of 1.55 cm2. What is the area of the wafers they are making and how many dies can they make per wafer? During manufacturing, they discovered that the wafers had 0.035 defects/cm2. Find out the value of yield and comment on it according to the definition of yield.
Question
X is an IC manufacturing company. They have an order for 9900 IC chips. They started their manufacturing process with 10 silicon ingots each with a radius of 7 cm. Each die should have an area of 1.55 cm2. What is the area of the wafers they are making and how many dies can they make per wafer? During manufacturing, they discovered that the wafers had 0.035 defects/cm2. Find out the value of yield and comment on it according to the definition of yield.
Solution
Step 1: Calculate the area of the wafers
The area of a circle (wafer) is given by the formula πr². Given that the radius of the silicon ingots is 7 cm, the area of each wafer is:
Area = π * (7 cm)² = 153.94 cm²
Step 2: Calculate the number of dies per wafer
Given that each die has an area of 1.55 cm², the number of dies that can be made per wafer is:
Number of dies = Area of wafer / Area of each die = 153.94 cm² / 1.55 cm² = 99.31 dies
Since we can't have a fraction of a die, we round down to the nearest whole number. So, they can make 99 dies per wafer.
Step 3: Calculate the yield
The yield is the ratio of the number of good dies (without defects) to the total number of dies. Given that the wafers have 0.035 defects/cm², the number of defects on each wafer is:
Number of defects = Defect density * Area of wafer = 0.035 defects/cm² * 153.94 cm² = 5.38 defects
Assuming each defect renders a die unusable, the number of good dies is:
Number of good dies = Total dies - Number of defects = 99 - 5.38 = 93.62 dies
Again, we can't have a fraction of a die, so we round down to the nearest whole number. So, there are 93 good dies.
The yield is then:
Yield = Number of good dies / Total dies = 93 / 99 = 0.9394 or 93.94%
A yield of 93.94% is quite high, indicating that the manufacturing process is efficient and produces a high proportion of usable dies.
Similar Questions
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