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Chem. J. Chinese Universities ›› 2026, Vol. 47 ›› Issue (6): 20250375.doi: 10.7503/cjcu20250375
• Review • Previous Articles Next Articles
YU Kunjie1, ZHANG Zhi1, GAO Qilong2(
)
Received:2025-12-12
Online:2026-06-10
Published:2026-01-17
Contact:
GAO Qilong
E-mail:qilonggao@zzu.edu.cn
Supported by:CLC Number:
TrendMD:
YU Kunjie, ZHANG Zhi, GAO Qilong. Research Progress on Negative Thermal Expansion Based on Machine Learning[J]. Chem. J. Chinese Universities, 2026, 47(6): 20250375.
| Descriptor type | Examples of specific features | Research object | Ref. |
|---|---|---|---|
Chemical/Compositional Features | Elemental molar fraction, atomic/ionic radius, electronegativity, effective nuclear charge, work function, atomic mass, etc. | Glass composition; Perovskite electronegativity/radius; A⁃site cation properties | [ [ [ |
Geometric/Structural Features | Lattice constants, bond lengths, bond angles, unit cell volume, number of cation polyhedra, porosity, coordination number, etc. | Unit cell parameters; Polyhedral features; Porosity | [ [ [ |
Mechanical/Physical Features | Bulk modulus, Young's modulus, cohesive energy, in⁃plane stiffness, out⁃of⁃plane bending stiffness, Debye temperature, etc. | High⁃entropy ceramic moduli/energy; 2D material stiffness; Elastic constants | [ [ [ |
Topological/Graph Features | Connectivity factor, persistent homology features, SMILES codes, structural unit connection modes | Connection modes; MOF topological features; SMILES | [ [ [ |
Table 1 Classification of commonly used descriptors for the thermal expansion properties of materials in machine learning research
| Descriptor type | Examples of specific features | Research object | Ref. |
|---|---|---|---|
Chemical/Compositional Features | Elemental molar fraction, atomic/ionic radius, electronegativity, effective nuclear charge, work function, atomic mass, etc. | Glass composition; Perovskite electronegativity/radius; A⁃site cation properties | [ [ [ |
Geometric/Structural Features | Lattice constants, bond lengths, bond angles, unit cell volume, number of cation polyhedra, porosity, coordination number, etc. | Unit cell parameters; Polyhedral features; Porosity | [ [ [ |
Mechanical/Physical Features | Bulk modulus, Young's modulus, cohesive energy, in⁃plane stiffness, out⁃of⁃plane bending stiffness, Debye temperature, etc. | High⁃entropy ceramic moduli/energy; 2D material stiffness; Elastic constants | [ [ [ |
Topological/Graph Features | Connectivity factor, persistent homology features, SMILES codes, structural unit connection modes | Connection modes; MOF topological features; SMILES | [ [ [ |
| Material systems | Typical representatives | Research focus |
|---|---|---|
| Framework oxides | RE2Si2O7, ZrW2O8, PbTiO3, cubic oxides, perovskites(ABO3) | Single⁃objective CTE prediction; correlation of polyhedral features; feature selection optimization. |
| Fluorides | ScF3, REO3⁃type fluorides | Structural flexibility and NTE classification prediction; screening for new materials. |
| Metals/Alloys | Ni⁃based superalloys, high⁃entropy alloys(HEAs), FeZr2 | Balancing mechanical properties(creep) and thermal expansion; prediction of phase transition temperatures. |
| 2D Materials | Graphene, Graphyne, biphenylene monolayer, C3N | Simulating atomic rippling mechanisms using MLIPs; analysis of substrate effects. |
| Porous Framework Materials | HKUST⁃1, UiO⁃66, prussian blue analogues(PBAs) | Analysis of complex topological structures; effect of porosity on thermal expansion. |
| Amorphous/Others | Silicate glasses, concrete, high⁃entropy ceramics | Composition⁃property regression prediction; analysis of aggregate influence. |
Table 2 Main material systems where machine learning has been applied to negative thermal expansion research
| Material systems | Typical representatives | Research focus |
|---|---|---|
| Framework oxides | RE2Si2O7, ZrW2O8, PbTiO3, cubic oxides, perovskites(ABO3) | Single⁃objective CTE prediction; correlation of polyhedral features; feature selection optimization. |
| Fluorides | ScF3, REO3⁃type fluorides | Structural flexibility and NTE classification prediction; screening for new materials. |
| Metals/Alloys | Ni⁃based superalloys, high⁃entropy alloys(HEAs), FeZr2 | Balancing mechanical properties(creep) and thermal expansion; prediction of phase transition temperatures. |
| 2D Materials | Graphene, Graphyne, biphenylene monolayer, C3N | Simulating atomic rippling mechanisms using MLIPs; analysis of substrate effects. |
| Porous Framework Materials | HKUST⁃1, UiO⁃66, prussian blue analogues(PBAs) | Analysis of complex topological structures; effect of porosity on thermal expansion. |
| Amorphous/Others | Silicate glasses, concrete, high⁃entropy ceramics | Composition⁃property regression prediction; analysis of aggregate influence. |
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