Skip to content
TSV & hybrid bonding · stack yield · the thermal wall

3D IC Stack Console

Stacking dies vertically with TSVs and hybrid bonding delivers the shortest, densest interconnects in chip design — but heat from upper tiers must escape downward through every die below. Compute connection density, stack yield (from bond interfaces, assuming known-good dies), cost, and the all-important top-tier junction temperature that decides whether a 3D stack is feasible.

01 · Quick analysis

Tiers, die area, bonding & power → stack yield and top junction temp.

Stack yield
99%
Top junction
29°
Cross-section, telemetry & bond comparison ↓
02 · Deep analysis

2-tier stack console

Thermal cross-section
Vertical stack of dies over a heatsink; color shows the temperature of each tier, hottest at the top.heatsink (cold side)tier 2 · 29°Ctier 1 · 27°C
cool warm hot (>110°C)
Total power
16 W
Stack cost
$253
Stack yield
99%
Top junction temp
29°C
Conn / interface
864k
Total connections
864k
Stack feasible · 29°C top

Thermally comfortable at 29°C top — this stack is a good 3D candidate.

Hybrid bonding (9µm) gives 864k connections per interface — that inter-die bandwidth is the entire reason to stack. The wall is heat: 3D works best with one hot die plus low-power layers, not two compute dies.

Looks viable — for the side-by-side comparison, see the CoWoS Cost console.

Bonding technology comparison
TechnologyConnectionsYieldCost
Micro-bump (40µm)44k99%$148
Hybrid bonding (9µm)864k99%$253
Fine hybrid bonding (3µm)7.8M99%$359
Why it matters

What makes 3D integration work — and fail

AMD's 3D V-Cache proved hybrid bonding at scale

Stacking an SRAM die directly on the CPU die with copper-to-copper hybrid bonding — no solder bumps — gave a huge cache boost in gaming chips. It made 3D logic stacking a shipping reality, not a lab demo.

Thermal is the wall of 3D stacking

Heat from upper tiers must travel down through every die below it to reach the heatsink. Stack two high-power logic dies and the top one can cook — which is why 3D logic stacks low-power or cache layers, not two hot compute dies.

Hybrid bonding density is staggering

Micro-bumps at 40µm give ~625 connections/mm²; hybrid bonding at 9µm gives ~12,000, and sub-5µm pitches reach into the millions/mm². That bandwidth between dies is the entire point of 3D — it shatters the interconnect bottleneck.

Known-good-die stacking is mandatory

Stacking is so expensive that you test every die before bonding — you never want to bond a good die onto a bad one and scrap the whole stack. Stack yield then comes mainly from the bond interfaces, not the dies themselves.

Field notes

The third dimension — bandwidth above, heat below

For decades chips grew in two dimensions, and the wires between them grew longer and slower even as the transistors got faster — the interconnect bottleneck. 3D integration breaks that wall by stacking dies vertically and connecting them face-to-face through micrometers of silicon instead of millimeters of substrate. The result is the shortest, densest, lowest-energy connection between two pieces of logic or memory ever built. The catch, and it is a serious one, is that the third dimension traps heat.

The enabling technology is the bond. Early 3D used solder micro-bumps, which work but limit pitch to tens of micrometers and add a thermally-resistant underfill layer. Hybrid bonding changed the game: it joins copper pads and dielectric directly, with no solder, at pitches below ten micrometers — an order of magnitude more connections per area and a much better thermal path. It's the technology behind AMD's 3D V-Cache and TSMC's SoIC.

Yield in a stack is mostly about the bonds, not the dies. Because stacking is expensive and a single bad die ruins an entire assembly, the industry tests every die before bonding — known-good-die stacking — so die yield doesn't compound into the stack. What remains is the bond-interface yield, applied once per interface, so an N-tier stack with N−1 interfaces yields roughly the bond yield raised to N−1.

Then there is the wall: thermal. Heat escapes a stack efficiently only through the bottom, so every watt in an upper tier must conduct down through every die beneath it. The top die runs hottest, and junction temperature climbs faster than linearly with tier count. The junction-temperature estimate here is often the single number that decides 3D versus 2.5D — model the side-by-side alternative in the CoWoS Cost console and the memory stacks in the HBM Cost console.

3D IC FAQs

Have more questions? Contact us

Trusted by 3D Integration & Thermal Teams

4.8
Based on 3,080 reviews

The thermal-vs-tier-count behavior is exactly right — it shows why you can't just stack two hot logic dies. The cross-section view with the temperature gradient is the clearest teaching aid I've used. Hybrid-vs-microbump connection density matches our process data.

D
Dr. Naoki Yamamoto
3D integration researcher
May 20, 2026

Stack yield from bond-interface count assuming KGD is the correct model, and most tools get it wrong. The V-Cache and HBM presets are spot-on starting points. Pairs naturally with the CoWoS tool for 2.5D-vs-3D decisions.

R
Rachel Kim
Advanced packaging engineer
April 7, 2026

I use the junction-temperature estimate to rule 3D in or out before detailed sim. Seeing the top tier blow past 110°C for a high-power stack saves weeks of false starts. The thermal wall is real and this makes it visible.

S
Stefan Müller
SoC thermal architect
February 27, 2026

Great for HBM-style stack yield and cost across tier counts. The connection-density numbers for hybrid bonding are accurate. Would love microfluidic-cooling modeling, but as a feasibility-and-cost tool it's excellent.

A
Aditi Sharma
Memory packaging lead
December 30, 2025

Love using our calculator?

Connected instruments

Related tools

Similar Calculators

More tools in the same category

Package Cost Calculator

Estimate semiconductor packaging expenses across wire-bond, flip-chip, fan-out wafer-level packaging (FOWLP), and system-in-package (SiP) technologies. Incorporates substrate material costs, bonding equipment rates, and inspection overhead for accurate BOM and COGS modeling.

CoWoS Cost Calculator

Analyze TSMC CoWoS packaging costs and production economics for AI accelerators and HPC chips, including interposer pricing, HBM stacking, and yield loss factors. Models CoWoS-S, CoWoS-R, and CoWoS-L variants with substrate scarcity and capacity constraint adjustments.

Chiplet Package Estimator

Estimate package dimensions, routing layer requirements, and assembly costs for multi-chiplet systems using silicon interposers, organic substrates, or glass substrates. Models UCIe link pitch, power-delivery integration, and thermal-mechanical stress for next-gen AI packaging.

HBM Cost Estimator

Calculate High Bandwidth Memory integration costs from HBM2E through HBM4, including TSV stack pricing, base-die logic, and 2.5D interposer overhead. Analyzes bandwidth-per-watt efficiency, capacity-per-package scaling, and supply-chain allocation for AI training and inference workloads.

Package Power Density Calculator

Estimate power density inside semiconductor packages with multi-die thermal stacking, hotspot identification, and cooling-path analysis. Supports AI accelerator packages exceeding 1,500W TDP with integrated TIM characterization and heat-spreader optimization.

Package Size Calculator

Determine package dimensions based on die count, substrate routing layers, I/O ball pitch, and thermal-management requirements. Optimizes for BGA, LGA, and custom form factors with DFM rule checking and warpage prediction for large-area AI packages.

Often Used Together

Complementary tools for complete analysis

Learn More

Related Articles

Dive deeper with our expert guides and tutorials related to 3D IC Calculator

Loading articles...

stack yield ≈ (bond yield)^(tiers−1) · first-order conduction thermal model · Last reviewed: 2026-06