According to Canon's own literature, the full frame sensor costs
about 10 times as much to make as an APS-C sensor, and that is
because 10 times as many APS-C chips will fit on a silicon wafer as
full frame chips.
Image sensors have a non-imaging border, let's call it 3mm.
35mm sensor: (36+3)
(24+3) = 1053mm^2
APS-C sensor: (24+3) (16+3) = 513mm^2.
Please explain how you can fit 10 times 513mm^2 (i.e. 5130mm^2) into
1053mm^2.
Your calculations are wrong. The area of a 35mm sensor is 1053 square mm, not 1053mm^2
A silicon wafer is circular, and an image sensor is rectangular.
"an 8-inch (200mm) wafer has a surface area of approximately 48.7 square inches"
http://www.memc.com/co-as-description.asp
48.7 sq. in. = 31,419.3 sq. mm
20 x 1053 sq. mm = 21,060 sq. mm, or only about 2/3 of the surface area of an 8" wafer are usable when making full frame sensors.
Even though a full frame sensor is only about twice the size of the APS-C sensor, the sensors cannot use the curved border areas of a silicon wafer. When the rectangular sensors are lined up on the round wafer, only about 20 of them will fit, not 30 as is calculated based on surface area.
The yield difference is 10x. The area difference, and therefore
approximately the number of devices you can layout on one wafer, is
2x.
You are mistaken. The area difference is 10X because you are fitting rectangular sensors on a circular wafer.
The defect rate is mainly due to dust or scratches
on the silicon. Therefore by keeping the facility as clean as
possible, and by handling the silicon wafer with care, defects become
a non-issue.
I take it you've never worked near a fab lab. They handle with care
and there are still defects. You cannot have a room that's 100%
clean, or a blank that is 100% pure.
I did not say there are no defects, but according to Canon, scratches and dust are the main culprits, not defects on the silicon wafer. With extra care in handling and extra clean rooms, the yield rate can be similar to APS-C sensors. Granted, one defect can wipe out 1 full frame sensor or 1 APS-C sensor, so the failure rate is 1/20 vs. 1/200 for one defect on a silicon wafer. However, 2 defects may both fall within a single full frame sensor but the same 2 defects may be found on 2 different APS-C sensors since they are smaller. So the defect rate is not always linear. 2 defects do not always wipe out twice the number of full frame sensors.
According to Canon's figures, an 8" silicon wafer costs several
hundred dollars and about 20 full frame sensors will fit.
A blank costs several hundred dollars. Processing costs about $1k.
You don't know if you've got good or bad parts until after you've
done the processing and have tested.
Canon knows. Canon is not blaming failures on bad blanks. Producers of bad blanks will soon go out of business in this highly competitive market. We can pretty much discount defects in the silicon wafer affecting yield.
Pretty soon, consumers
who have been "upgrading to APS-C cameras with more and more pixels
will realize that only larger sensors (not more pixels) can actually
give them better image quality. When these two factors converge, the
full frame market will explode and the APS-C market will implode.
If consumers will always choose bigger because it is better, then
explain what happened to the medium format film market.
The medium format film market died because even 35mm full frame sensors can equal medium format film in quality. Medium format digital sensors have replaced medium format film.
(P.S. before about 1950, medium format was the consumer format of
choice)
Before then, film quality is so bad that anything less than medium format was unacceptable. People picked medium format over larger view cameras because of portability. It is always a balance between image quality and portability. 35mm camera equipment is more portable, and the image quality is acceptable to most people. The price is right too. It appears that the image quality of any film format that is smaller than 35mm, although slightly more portable, is unacceptable. Gone are half frame, 126, 110, disk film and APS film formats. These were heavily promoted to consumers but they ultimately all vanished because they produce prints that are inferior to 35mm. 35mm has not killed medium format film. In fact, many consumers turned to medium format film in the 1990's. 6 x 4.5 format film cameras flourished in the 1990's, with Mamiya, Pentax, and Contax making lots of them and selling them to serious amateurs. These cameras offered higher quality than 35mm film and portability is only slightly worse than 35mm. These cameras would have continued except that digital cameras and backs have made them obsolete due to both high film and processing costs and inferior image quality.