wafer yield: the definition
Wafer yield, or die yield, is the share of chips on a finished silicon wafer that work as intended. Because random defects are spread across the wafer, larger chips are more likely to contain one, so yield falls as die size grows.
The key points
- Leading-edge chips are made on 300 mm wafers, and the number of dies per wafer falls quickly as die size grows because of both area and edge losses.
- In the simplest yield model, the fraction of good dies falls exponentially with die area multiplied by defect density.
- Binning rescues partly defective or slower dies by selling them with some units disabled or at lower clock speeds, as with the H100’s 132 of 144 SMs.
- AI accelerators sit near the roughly 858 mm² limit of a lithography exposure, so they get few candidates per wafer and lower yields, one reason they cost so much.
What a wafer is
A wafer is a thin, polished disc of single-crystal silicon on which chips are built. It is sliced from a cylindrical ingot at a thickness of about 1 mm, then lapped, etched and polished to a mirror finish before it enters a fab. [1]
The industry standard for leading-edge logic is a wafer 300 mm, or 12 inches, across. Early chipmaking used wafers only about two inches in diameter. Fabs and foundries often report capacity in 12-inch-equivalent wafers: TSMC, for instance, says the fabs it manages had annual capacity of more than 17 million 12-inch-equivalent wafers in 2025. [2][3]
How many dies fit on a wafer
A die is one copy of a chip design on the wafer. A 300 mm wafer has an area of about 70,700 mm², so dividing by the die area gives a first estimate of how many dies fit. That overestimates the real number, because square dies cannot tile a round wafer: partial dies at the edge are wasted, and space is also lost to the scribe lines between dies and to test structures. A common approximation subtracts an edge-loss term proportional to the wafer circumference divided by the die’s diagonal, and die-per-wafer calculators note that ignoring scribe lines alone can overstate the count by 5 to 10 percent. [4]
Using that approximation, a 100 mm² die gives roughly 640 candidate dies on a 300 mm wafer. An 814 mm² die, the size of NVIDIA’s GH100 GPU, gives only about 63. The big die is eight times larger but yields ten times fewer candidates, because a larger share of the wafer’s edge is wasted. These figures ignore scribe lines and are meant only to show the scale.
Defect density and yield
Not every die works. Engineers distinguish line yield, the share of wafers that survive the whole fabrication process; die yield, the share of dies on finished wafers that function; and probe yield, measured when each die is tested electrically at the end of fabrication. Die yield is usually the one that matters most for chip economics. [5]
The simplest model treats defects as randomly scattered with an average density D0 per unit area. The probability that a die of area A escapes all of them is then the exponential of minus D0 times A. Real defects tend to cluster, so fabs also use refinements such as the Murphy and negative binomial models, which predict somewhat better yields for large dies than the simple Poisson formula. All the models agree on the main point: with the same process and the same defect density, larger dies have lower yield. [5]
Defect density falls as a process matures, which is why foundries track it closely before volume production. In April 2025 TSMC said the defect density of its N2 process was lower than that of N3, N5 and N7 at the same stage of development, about two quarters before mass production, despite N2 being its first gate-all-around node. [6]
Assume a defect density of 0.1 per cm², or 0.001 per mm². The Poisson model gives a 100 mm² die a yield of about 90 percent, but an 814 mm² die only about 44 percent. Combined with the die counts above, one wafer would give about 580 good small dies but only around 28 good large ones. The defect density here is illustrative, not a figure disclosed by any foundry.
Binning: selling imperfect chips
A die with a defect is not always scrap. During testing, chips are measured for how many cores work, which clock speeds they sustain and at what voltage and power. Dies with a faulty core or graphics block can have that section disabled and be sold as a lower-tier product, and dies that run slower or hotter can be sold at lower frequencies. This sorting, called binning, lets manufacturers sell much more of each wafer. Many product families, from desktop CPUs to consumer GPUs, are cut from the same die in this way. [7]
Large AI accelerators are designed with this in mind. NVIDIA’s full GH100 die contains 144 streaming multiprocessors (SMs), but the H100 SXM5 ships with 132 enabled and the H100 PCIe with 114. The full design also has six HBM3 stack positions, of which the shipping products use five. Leaving spare units means a die with a defect in one SM can still be sold. [8]
The reticle limit and very large dies
There is also a hard ceiling on die size. A standard lithography scanner exposes a field of 26 by 33 mm at a time, about 858 mm², and a single die generally cannot be larger than that. High-NA EUV scanners halve the field to 26 by 16.5 mm, which will push the largest designs to stitch patterns across two exposures. [10]
AI chips sit right against that ceiling. The GH100 die in NVIDIA’s H100 measures 814 mm² and holds 80 billion transistors. For its Blackwell generation, NVIDIA went beyond the limit by joining two reticle-limited dies with a 10 TB/s chip-to-chip link so that they behave as one GPU with 208 billion transistors in total. [8][9]
That approach relies on advanced packaging. TSMC’s CoWoS places logic dies and HBM stacks on a large interposer; CoWoS-S supports interposers up to about 3.3 times the reticle size, around 2,700 mm², and CoWoS-L reached 3.5 times the reticle size in volume production in 2024. Splitting a design into smaller dies improves yield, because each piece is less likely to contain a defect, but adds packaging cost and complexity. [11]
Why big AI dies are expensive
Wafers at leading nodes are costly. Georgetown’s CSET estimated in 2020 that a 300 mm wafer at 5 nm sold for about $17,000 and one at 7 nm for about $9,300. In October 2025 TechNode, citing a Chinese industry outlet, reported that TSMC had set 2 nm wafer prices around $30,000, compared with roughly $25,000 to $27,000 at 3 nm. [12][13]
Divide a wafer price by the number of good dies and the effect of size becomes clear. With the illustrative numbers above, a $30,000 wafer yields about 580 good 100 mm² dies, around $52 each, but only about 28 good 814 mm² dies, more than $1,000 each before testing, packaging and memory. The large die costs about eight times as much in silicon area, but around twenty times as much per good chip. This is a simplified calculation, and real costs depend on actual defect density, binning and contract prices.
Yield and the GPU compute market
Yield economics help explain why data-centre GPUs cost many times more than consumer chips made on similar processes, and why the first months of a new generation are often the tightest. As defect density falls and packaging capacity grows, more good accelerators come out of each wafer and supply loosens, which eventually shows up in rental prices. On Kovara you can compare what each GPU costs per hour across providers, look up die-level specifications, or ask Kova how supply for a particular accelerator is trending.
Check your understanding
Try answering before opening the explanation. Your answers are not collected or scored.
1How big is a standard wafer?
Leading-edge chips are made on 300 mm (12-inch) wafers, which are sliced about 1 mm thick from a single-crystal silicon ingot.
2Why does yield fall for larger chips?
Defects are scattered across the wafer, so a larger die is more likely to contain at least one. In the basic Poisson model, yield falls exponentially with die area times defect density.
3What is binning?
Sorting tested chips by how many units work and how fast they run, then selling imperfect dies as lower-tier products with parts disabled or at lower clocks.
4What is the largest possible single die?
Roughly the size of one scanner exposure field, 26 by 33 mm or about 858 mm². Larger designs combine several dies in one package.
Sources & editorial note
Reference documentation is listed below with its recorded check date. Technical statements are attributed; passages framed as our view or recommendation are editorial interpretation. Examples are hypothetical unless explicitly identified otherwise. No independent Kovara hardware testing is claimed.
- SUMCO · Silicon wafer manufacturing process ↗ (opens in a new tab)Manufacturer documentation · Checked 29 September 2026
- Intel · From Sand to Silicon: “Making of a Chip” (32nm illustrations) ↗ (opens in a new tab)Manufacturer documentation · Checked 29 September 2026
- TSMC · Company profile ↗ (opens in a new tab)Company history · Checked 29 September 2026
- AnySilicon · Die per wafer formula and calculator ↗ (opens in a new tab)Industry reference · Checked 29 September 2026
- UC Berkeley IEOR 130 (Prof. Robert C. Leachman) · Yield modeling and analysis ↗ (opens in a new tab)Academic course notes · Checked 29 September 2026
- Tom’s Hardware · TSMC discloses N2 defect density, lower than N3 at the same stage of development ↗ (opens in a new tab)News report · Checked 29 September 2026
- TechSpot · Explainer: What is chip binning? ↗ (opens in a new tab)Trade publication · Checked 29 September 2026
- NVIDIA Technical Blog · NVIDIA Hopper architecture in-depth ↗ (opens in a new tab)Manufacturer documentation · Checked 29 September 2026
- NVIDIA · Blackwell architecture ↗ (opens in a new tab)Manufacturer documentation · Checked 29 September 2026
- IEEE Spectrum · This machine could keep Moore’s Law on track (High-NA EUV) ↗ (opens in a new tab)Trade publication · Checked 29 September 2026
- TSMC · CoWoS advanced packaging technology ↗ (opens in a new tab)Manufacturer documentation · Checked 29 September 2026
- CSET (Georgetown) · AI Chips: What They Are and Why They Matter (2020) ↗ (opens in a new tab)Research report · Checked 29 September 2026
- TechNode · TSMC sets 2nm wafer price at $30,000 ↗ (opens in a new tab)News report · Checked 29 September 2026
Prepared with AI assistance. Publication authorized by Tommaso Luci; this does not claim independent technical peer review. Kovara Research is the publication label, not a claim of an independent laboratory or a named analyst team.
