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Equation 3 · Materials Discovery and Degradation in 2035: Scenarios, Signals, and Falsifiable Predictions

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ΔEhull\Delta E_{\text{hull}}

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ΔEhull\Delta E_{\text{hull}}

Symbol Δ E_hull

Δ EhE_hull is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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change

change

Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.

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subscript

subscript

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then a small positive Δ\Delta EhullE_{\text{hull}} has historically been treated as a proxy for “worth attempting to synthesize.” The 2024–2025 critique’s core point is that this proxy is weak: a large share of low- Δ\Delta EhullE_{\text{hull}} candidates in the GNoME set failed independent synthesizability screens once structural and existence-probability criteria were applied on top of the energy criterion alone [ 5 ] [ 10 ] . Closing the gap means replacing that single-variable proxy with a jointly trained, multi-criterion one — an analysis claim about what the fix would have to look like, not a report that anyone has yet built it at scale.

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