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Multiblock terpolymers represent a frontier in the design of functional nanomaterials due to their ability to form highly complex, hierarchical nanostructures. Unlike simple diblock copolymers, which typically exhibit a limited set of morphologies, multiblock systems—especially those with multiple chemically distinct segments—can spontaneously assemble into exotic phases such as Frank-Kasper structures, bicontinuous cubic lattices, and multi-domain cylindrical arrangements. These intricate architectures offer unprecedented opportunities for applications in catalysis, separation membranes, and metamaterials. However, predicting and mapping the full phase behavior of such systems remains a formidable challenge due to the exponential growth of parameter space with increasing block complexity.

This work presents a physics-informed active learning framework that enables the autonomous and efficient construction of phase diagrams for multiblock terpolymers, specifically focusing on linear B₁AB₂CB₃ pentablock copolymers. The molecular architecture consists of incompatible A and C blocks connected by central B₂ domains, enabling the formation of binary mesocrystals with diverse symmetries—including CsCl (Pm3m), NaCl (Fm3m), ZnS (F43m), and -BN (P63/mmc)—as well as various cylinder-packed phases like hexagonally arranged CA/C cylinders (P6mm) and helical configurations (P3m1). The phase landscape is governed by two key variables: the composition of A-blocks (f_A), and the fraction of middle B₂ segments (f_B₂), under fixed interaction parameters (ABN = ACN = BCN = 80.0) and symmetry constraints (f_A = f_C, f_B₁ = f_B₃).

Traditional approaches rely on exhaustive SCFT simulations across a dense grid, requiring thousands of calculations and extensive expert oversight. In contrast, our method leverages an intelligent sampling strategy that dynamically identifies the most informative points. Starting from a single randomly selected initial point within a narrow region (0.10 ≤ f_A ≤ 0.16, 0.06 ≤ f_B₂ ≤ 0.18), the algorithm iteratively selects new candidates based on uncertainty scores derived from Gaussian process regression. The hybrid US/RS scheme ensures both exploration of uncharted regions and focused refinement near phase boundaries.

After 200 cycles, the model has converged on a high-fidelity phase diagram covering a 25×25 grid. Sampling points are densely concentrated along transition zones, indicating effective boundary localization. The estimated phase map accurately reproduces known structures and their interfacial regions, with excellent agreement to reference SCFT results. Notably, the algorithm successfully detects all major phases—including rare or metastable configurations—without prior knowledge of their existence, demonstrating its capability for discovery-driven materials design.

Quantitative evaluation reveals that the US/RS approach achieves a Macro-F1 score exceeding 0.97 after just 110 cycles, while conventional random sampling would require over 500 evaluations to reach similar accuracy.Cingulin Antibody MedChemExpress The standard deviation across 200 independent runs is minimal, confirming the robustness of the method even with small initial datasets.M-CSF Antibody Autophagy Furthermore, the use of entropy-based uncertainty metrics allows the model to flag potential novel phases in under-explored regions, providing predictive insights beyond current literature.PMID:35245656

This study demonstrates that integrating theoretical modeling with adaptive machine learning can unlock the full potential of complex polymer systems. By reducing computational cost by up to 80% and eliminating human bias in data selection, the proposed framework enables rapid, scalable, and reliable phase diagram construction. It represents a transformative step toward autonomous materials discovery, where theory and data co-evolve to guide synthesis and optimization. Future developments may incorporate real-time feedback from experimental characterization, enabling closed-loop discovery pipelines for next-generation functional polymers.MedChemExpress (MCE) offers a wide range of high-quality research chemicals and biochemicals (novel life-science reagents, reference compounds and natural compounds) for scientific use. We have professionally experienced and friendly staff to meet your needs. We are a competent and trustworthy partner for your research and scientific projects.Related websites: https://www.medchemexpress.com

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