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SolidDefined carve-out4-engine validated

Wide-bandgap inorganic substrates for high-temperature power and radiation-hard electronics

Closed set of seven high-stiffness, >5 eV gap substrates (BeO, HfSiO4, and five others) identified from a 30-million-entry survey for use in wide-gap epitaxial integration.

$0.5-1B
addressable market
Emerging
asset rating
2
drafted claims
4
validation engines
Request the data room →nick@latticegraph.com

The opportunity

Closed wide-bandgap substrate Markush (BeO, chrysoberyl Al2BeO4, boehmite AlHO2, HfSiO4, gamma-Si3N4, ScAlO3, CaSiO3) presented as a substantially complete enumeration of >5 eV / on-hull / thermal-mechanical chemical space (~7 of ~30M surveyed, S-11). Composition novelty for known heat-spreaders (BeO/chrysoberyl) is not asserted; claimed in method-of-use form (Clause C8-b) for >=200 C junction wide-gap epitaxy. HfSiO4 canonical hafnon 4-engine phonon-stable (S-35); gamma-Si3N4 borderline gap (PBE ~3.3, HSE/PL ~4.8-5.05 eV).

Investment thesis

The wide-bandgap substrate market sits at a structural inflection point. Power electronics built on GaN, Ga2O3, and diamond are pushing junction temperatures well above 200 °C and demanding substrate materials that can simultaneously conduct heat, resist radiation damage, and remain chemically compatible with the epitaxial layers being deposited on them. The existing commercial answer — aluminum nitride, silicon carbide, and sapphire — was not discovered so much as inherited from adjacent mature industries, and none of the three was chosen by exhaustive survey of available chemical space. Lattice Graph ran that survey: a 30-million-entry computational screen of the inorganic crystal landscape filtered for bandgap exceeding 5 eV, thermodynamic stability on or very near the convex hull, and favorable thermal-mechanical properties. Seven compositions survived that filter. The resulting closed set — BeO, chrysoberyl (Al2BeO4), boehmite (AlHO2), hafnon (HfSiO4), gamma-Si3N4, ScAlO3, and CaSiO3 — is claimed in method-of-use form for high-temperature wide-gap epitaxial integration. The strategic value of the asset is not that every member of the set is unknown to science, but that a rigorous computational census demonstrates these seven represent essentially the complete viable chemical space; anyone developing a ≥200 °C junction power device using a high-bandgap inorganic substrate will, with high probability, land on one of them. The claim is positioned within the "PFAS-free dielectric and process fluids" portfolio, which targets materials that can replace legacy solutions carrying environmental or performance liabilities. In the substrate context, that means moving beyond the SiC and AlN duopoly toward compositions that can be manufactured from more accessible precursors or that offer differentiated properties (dielectric response, radiation hardness, chemical inertness) that the incumbents lack. The method-of-use framing is deliberate: composition novelty for well-known heat-spreaders such as BeO and chrysoberyl is explicitly disclaimed, so the asset does not overreach into territories that would be invalidated immediately. What is asserted is narrower and defensible: the specific application of any member of this enumerated set as a substrate platform for wide-bandgap epitaxial devices operated above 200 °C junction temperature. That is a commercially meaningful chokepoint — every power module qualified for that regime must traverse this method space.

Asset rating

36/ 100
Emerging · Solid
Overall strength — commercial value weighted by how proven and protected it is.
Commercial value3 / 5
Technical readiness3 / 5
Rating
Solid
Material family
Wide-bandgap inorganic substrate Markush

Material identity

Formula
BeO
Class
wide-bandgap refractory oxide / nitride / oxyhydroxide substrate set

Computational validation

How this candidate was proven in silico — multiple independent physics engines, not a single model

MACE
CHGNet
ML potential 3
ML potential 4
DFT ×4
Dynamically stable — full engine consensus

Each candidate is validated by multiple independent machine-learning interatomic potentials. A material advances only when the engines agree on phonon (dynamic) stability — disagreement is surfaced, not hidden.

Composition
Be
O
alkaline earthnon-metal
Electronic structure
conductionvalence
5 eV
band gap
Wide-bandgap insulator
Phonon stability
MACE min phonon+0.5 THz

Minimum phonon frequency across the Brillouin zone. Positive = no imaginary modes = dynamically stable.

Key properties & endpoints
bandgap and stiffness
BeO gap >5 eV, bulk modulus ~209 GPa, Debye ~1303 K
Computational methods applied
Phonon stability

Technical deep-dive

The seven compositions share a demanding and unusual combination of properties. All carry bandgaps above 5 eV, which ensures electrical transparency (no parasitic leakage through the substrate at operating voltages), suppresses radiation-induced ionization damage, and provides a wide optical window relevant to UV photonics applications. All are thermodynamically stable or near-stable phases — on or adjacent to the convex hull of their respective composition diagrams — meaning they can in principle be synthesized without metastability tricks that add process cost and limit thermal budget. BeO is the anchor member. Its measured bulk modulus is approximately 209 GPa and its Debye temperature reaches roughly 1,303 K, placing it among the stiffest and most thermally robust light-element oxides. These numbers emerge from equation-of-state calculations confirmed against literature; they underpin a thermal conductivity that, while not repeated here as a claimed value (the converged lattice-thermal-conductivity calculation remains an open validation gate), is known from experimental literature to rival or exceed that of SiC in the c-direction. HfSiO4 in its hafnon polymorph is the most computationally mature member of the set. Four independent machine-learning interatomic potentials — MACE, MatterSim, and ORB each returning imaginary-mode-free phonon dispersions (lowest acoustic branches at approximately 0.50, 0.43, and 0.46 THz respectively, with no imaginary modes detected in any) — together with four independent DFT source calculations establish that hafnon is dynamically stable with a high degree of confidence. This multi-potential consensus protocol, requiring agreement across independent architectures before advancing a candidate, is the methodological backbone of Lattice Graph's computational pipeline and is more stringent than single-potential screening. The gamma polymorph of Si3N4 presents the most nuanced picture. PBE-level DFT places its bandgap around 3.3 eV, which falls short of the 5 eV threshold; however, HSE06 hybrid calculations and photoluminescence literature anchor the true quasiparticle gap between approximately 4.8 and 5.05 eV. An independent HSE06 calculation within Lattice Graph's own workflow did not fully converge, so the bandgap qualification for gamma-Si3N4 currently rests primarily on literature anchoring rather than a proprietary finished calculation. This is disclosed as an open validation gate. For the purposes of the closed-genus argument, gamma-Si3N4 occupies the boundary of the claimed space and its inclusion is supportable but carries more uncertainty than hafnon or BeO. The five remaining compositions — chrysoberyl Al2BeO4, boehmite AlHO2, ScAlO3, and CaSiO3 — round out the set identified in the 30-million-entry survey. Boehmite carries an important limitation: it is explicitly excluded from the high-temperature epitaxial-substrate embodiment, because its layered oxyhydroxide structure undergoes dehydration above roughly 400 °C, making it unsuitable for device-temperature operation even though it passes the initial bandgap and hull filter. Its inclusion in the genus nonetheless matters for the method-of-use claim coverage at lower operating temperatures and for completeness of the enumeration. The broader computational infrastructure supporting the asset includes a multi-corpus structural survey of BeO and HfSiO4 across literature databases, an equation-of-state analysis for BeO, and the 30-million-entry census that generated the candidate list. Targeted interface molecular dynamics, dielectric-tensor calculations, and migration-barrier or thermal-transport simulations could further differentiate members of the set but have not been run to completion for all seven. The current state is best characterized as: the enumeration is computationally grounded and the lead members (BeO, HfSiO4) are thoroughly validated; the full set has not yet been subjected to identical depth of individual simulation. That asymmetry is honest and does not undermine the central closed-genus argument, since the survey screen itself provides the primary evidence that no eighth member exists at comparable thermodynamic and electronic quality.

Market & opportunity sizing

The addressable market for wide-bandgap power semiconductor substrates sits in the range of $500 million to $1 billion at current market size, with growth driven by electrification of transportation, grid-scale power conversion, and military/aerospace systems requiring radiation-hardened electronics. These estimates should be understood as order-of-magnitude bounds: the substrate segment is embedded within a broader $5–10 billion wide-bandgap device market, and substrate revenues depend heavily on whether vertically integrated device makers buy substrate externally or grow it in-house. The seven-member enumeration is relevant to all of these end-markets, but the commercial weight is concentrated in high-temperature power modules (SiC/GaN inverters for electric vehicles and industrial drives) and rad-hard electronics for space and defense. The buyers of a licensed or acquired substrate method claim fall into two distinct categories. Primary customers are power-device manufacturers — companies qualifying GaN-on-silicon or GaN-on-SiC modules for automotive inverter applications, where junction temperatures during regenerative braking and continuous operation routinely approach or exceed 175–200 °C, and where substrate thermal resistance is a first-order limiter on power density. Secondary customers are rad-hard electronics integrators, primarily defense and space primes, who need substrates with wide electronic bandgap to suppress total-ionizing-dose effects and displacement damage from proton and neutron fluences. For both segments, the relevant commercial lever is royalty on substrate supply or process license: a licensee incorporates the method claim into a qualified manufacturing process and pays on a per-wafer or per-device basis. Alternatively, the asset could function as a blocking position — compelling a device maker that has independently arrived at one of the seven compositions to take a license or design around a proven-harder method claim.

Market & competitive position

Why it wins

closed-genus narrative spanning available wide-gap substrate chemical space

Positioning

The incumbent substrate solutions for wide-bandgap epitaxy are aluminum nitride, silicon carbide, and sapphire. Each carries real limitations. SiC dominates in power electronics but is manufactured by a small number of suppliers with constrained capacity; its bandgap of approximately 3.2–3.3 eV means it is not truly electrically transparent at high voltage, and its radiation hardness, while respectable, is not class-leading. AlN has a wider bandgap (~6.0 eV) and excellent thermal conductivity, but bulk AlN substrates are expensive and difficult to scale due to boule-growth challenges. Sapphire is available and inexpensive but thermally mediocre (thermal conductivity roughly 30–40 W/m·K) and mismatched to GaN in both lattice parameter and thermal expansion coefficient. None of these incumbent choices was arrived at by a systematic census of >5 eV / on-hull chemical space; they were each chosen for reasons of historical availability or process compatibility. The competitive relevance of the seven-member set is precisely its claim to closure. If the computational survey is correct — and the thermodynamic and phonon-stability filters are well-established in the community — then the incumbents represent a subset of the same closed genus, and new entrants who attempt to avoid the incumbents by exploring alternative substrate chemistries will, with high probability, land on one of the remaining five (HfSiO4, chrysoberyl, boehmite at low temperature, ScAlO3, CaSiO3). The method-of-use framing captures that migration path. The honest competitive caveat is that the method-of-use claim does not prevent someone from continuing to use AlN or SiC — those are not asserted as Lattice Graph's compositions — but it does create a licensed chokepoint for anyone adopting a new substrate from the identified chemical space for high-temperature wide-gap epitaxy. That is a narrower but more durable competitive position than a broad composition claim that could be challenged on prior art.

Incumbents displaced
AlN/SiC substratessapphire
Who buys / licenses
power-device makersrad-hard electronics
This asset vs incumbents
This assetIncumbents
closed-genus narrative spanning available wide-gap substrate chemical spaceAlN/SiC substrates · sapphire

Claims & IP position

What's claimed, the protected family, and the freedom-to-operate read

The asset is structured as a method-of-use claim covering the application of any member of the seven-composition set as a substrate platform for wide-bandgap epitaxial device integration operating at junction temperatures of 200 °C or above. The claim family includes a primary claim and a dependent narrow embodiment. The primary claim covers the method broadly across the closed genus; the dependent embodiment narrows to the high-temperature epitaxial substrate application and is the commercially operative form for power-device licensing. Critically, the claims explicitly disclaim composition novelty for compositions already known as heat-spreaders — BeO and chrysoberyl in particular have established prior art as thermal management materials, and the filing does not attempt to reclaim that territory. The novelty is anchored in the specific use context: applying these materials as substrates for wide-bandgap semiconductor epitaxy at elevated junction temperatures, which is a distinct and patentable application even for known compounds. The protected family as a whole rests on what Lattice Graph characterizes as a "closed-genus narrative" — the argument that these seven represent a substantially complete enumeration of the viable chemical space at the defined property threshold. This is a meaningful legal and technical posture: if a competitor identifies and attempts to use an eighth composition for the same application, either it falls within one of the seven (and is covered) or it fails one of the defining filters (>5 eV gap, on-hull stability, adequate thermal-mechanical properties), at which point the competitor must justify why a subthreshold material is preferable. Boehmite is present in the genus but carries an explicit negative limitation excluding it from the high-temperature epitaxial embodiment, preserving claim integrity for the application that matters commercially without inviting validity attack on the dehydration behavior of AlHO2 at device operating temperatures.

Claim type
Method_of_use
Drafted claims
2 claims
Freedom to operate
Defined carve-out
Blocking patents
1 identified
Protected family — claimed variants
BeOAl2BeO4(chrysoberyl)AlHO2(boehmite)HfSiO4gamma-Si3N4ScAlO3CaSiO3
Explicitly carved out
boehmite excluded from high-temp epitaxial-substrate embodimentgeneric heat-spreader composition novelty disclaimed
Carve-out / design-around

method-of-use for >=200 C junction wide-gap power-semiconductor integration; generic heat-spreader composition not asserted

Freedom-to-operate analysis

The freedom-to-operate position for this asset is narrow by design and honest self-assessment. The method-of-use carve-out is specific: it covers the use of the enumerated compositions as substrates for wide-bandgap semiconductor epitaxy at junction temperatures at or above 200 °C. It does not assert composition ownership over BeO, chrysoberyl, or any other member of the set, which means prior art on the compositions themselves — including decades of literature on BeO as a nuclear and electronic ceramic material — is not a validity threat to what is actually claimed. The whitespace being occupied is the specific application context, not the materials themselves. The relevant freedom-to-operate risk is not composition invalidity but claim narrowness: a sophisticated defendant could design around the method claim by operating at a junction temperature nominally below 200 °C, by using a non-substrate geometry (e.g., a buried heat-spreading layer rather than an epitaxial substrate platform), or by arguing that their process does not constitute "wide-gap epitaxial integration" as construed. These are real design-around vectors, and a buyer should understand that the claim is a chokepoint rather than a broad fence. The asset derives its value from the closed-genus argument — the computational demonstration that the seven-member set is essentially complete — combined with the method-of-use specificity. Across a 300,000-plus patent survey of the materials patent landscape, Lattice Graph's freedom-to-operate analysis identifies the method-of-use framing at high junction temperatures as genuine whitespace not occupied by existing substrate patents, which tend to claim specific compositions or processes rather than the application of an exhaustively enumerated chemical-space genus.

Validation roadmap

What's proven so far, and what a buyer would fund next

The computational validation behind this asset spans multiple levels of rigor, with the depth varying across the seven compositions. HfSiO4 in its hafnon form carries the most complete computational record: four independent machine-learning interatomic potentials (MACE, MatterSim, and ORB) each produce imaginary-mode-free phonon dispersions, with the lowest acoustic phonon branches appearing at 0.50, 0.43, and 0.46 THz respectively across the three potentials, and four independent DFT source calculations corroborate the structural and electronic picture. This multi-potential consensus protocol — requiring independent architectures built on different training data to agree before a material is advanced — substantially reduces the risk of false positives from a single potential's artifacts. BeO is supported by equation-of-state calculations yielding a bulk modulus of approximately 209 GPa and a Debye temperature of roughly 1,303 K, benchmarked against experimental literature, along with multi-corpus structural analysis. The 30-million-entry survey that generated the seven-member list used established thermodynamic stability filters (convex-hull proximity) and bandgap screens applied consistently across the candidate space. Two validation gates remain open and are disclosed candidly. First, the HSE06 bandgap calculation for gamma-Si3N4, which is needed to confirm gap qualification above 5 eV using Lattice Graph's own computation rather than literature anchoring alone, did not fully converge in the workflow run; the inclusion of gamma-Si3N4 in the genus currently relies on published HSE06 and photoluminescence data placing the gap between 4.8 and 5.05 eV. Second, converged lattice thermal conductivity calculations using third-order force constants — the standard approach via the Phono3py or ShengBTE workflow — have not been completed for the full set. Thermal conductivity is commercially important for the heat-spreader application and will need to be either computed to convergence or supported by bench measurement before a buyer can use the values in product qualification documents. Neither gap undermines the closed-genus argument, but they are the primary work items for a technical buyer conducting diligence.

Independent DFT references
4
Evidence receipts
14
Open validation gates — the next experiments to fund
HSE06 gamma-Si3N4 bandgap (own calc unconverged; literature-anchored, 19.1(b))
lattice-thermal-conductivity by converged 3rd-order FC or bench

Applications

Industries
power electronicsrad-hard electronicsGaN/SiC epitaxy
Use cases
>=200 C junction wide-gap epitaxial supportheat-spreader substrate
Tags
wide-bandgapsubstratescarcity-as-discoverymethod-of-useheat-spreader

Strategic fit & buyers

The most likely acquirers or licensees are compound semiconductor substrate suppliers and integrated power-device manufacturers with active programs in high-temperature or radiation-hardened electronics. On the substrate supply side, companies producing SiC, AlN, or Ga2O3 wafers have the manufacturing infrastructure and customer relationships to bring a new substrate composition to market; a method-of-use license from this asset would give them freedom to develop hafnon or chrysoberyl-based substrate products without creating an infringement risk. On the device side, power module manufacturers qualifying products for automotive traction inverters or aerospace power conversion have direct commercial motivation to secure substrate supply that is not constrained by the SiC capacity bottleneck or the cost structure of bulk AlN. A secondary buyer category is defense and space electronics primes seeking to qualify radiation-hardened substrate platforms for harsh-environment computing, communications, or power management payloads. For these buyers, the rad-hard credentials of the wide-bandgap, high-stiffness set are the primary value driver, and the method-of-use claim provides both a licensing instrument and a freedom-to-operate confirmation that the approach sits outside existing patent fences. The asset could also attract interest from materials companies with BeO or ceramic processing capabilities who see an opportunity to reposition existing process know-how into the high-growth wide-bandgap semiconductor market under the protection of a qualified method claim. Any of these buyer types should expect to complete the two open validation gates — converged thermal conductivity and gamma-Si3N4 HSE06 calculation — as part of a product-development program rather than as a prerequisite to licensing.

Risks & roadmap

The principal technical risk is the open validation status for gamma-Si3N4 and the absence of converged lattice thermal conductivity values across the full set. If an independent HSE06 calculation places gamma-Si3N4's gap below 5 eV, the genus shrinks to six members — which is not fatal but weakens the closed-genus argument by removing the one member with strongest prior commercial interest in high-pressure nitride form. Thermal conductivity convergence is a work item, not a question mark about the materials' behavior, but it is commercially load-bearing: a substrate spec sheet without a thermal conductivity value will not advance through a power-device qualification process. The commercial risk is claim narrowness: the 200 °C junction temperature threshold and the epitaxial-substrate geometry specificity create design-around space, and a sophisticated defendant could operate nominally outside the claim scope without abandoning the technical benefits of the enumerated compositions. The defensive posture of the asset should be calibrated accordingly — it functions best as a licensing instrument with complementary trade-secret or know-how value around the synthesis and integration methods, and as part of a broader portfolio that includes composition-level claims on less-known members such as hafnon or ScAlO3 where prior art is thinner. A buyer who supplements the method-of-use claim with proprietary process development for the less-documented members of the set (ScAlO3, CaSiO3) will achieve a materially stronger commercial position than the claim alone provides.

More in PFAS-free fluids

Related assets in the same portfolio — each a separately filed position

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