Article Contents
ARTICLE   Open Access     Cite

Customized design of amorphous solids by generative deep learning

More Information
  • Corresponding author: yonyang@cityu.edu.hk
  • DownLoad: Full size image
    1. A deep learning architecture combining generation and prediction for design of amorphous solids is developed.

      It enables automated generation of compositions and corresponding properties with remarkable accuracy.

      This model is applied on generation of Cu-based metallic glasses with extremely high hardness and low modulus.

  • The design of advanced amorphous solids, such as metallic glasses, with targeted properties through artificial intelligence signifies a paradigmatic shift in physical metallurgy and materials technology. Here, we developed a machine learning architecture that facilitates the generation of metallic glasses with targeted multifunctional properties. Our architecture integrates the state-of-the-art unsupervised generative adversarial network model with supervised models, allowing the incorporation of general prior knowledge, derived from thousands of data points across a vast range of alloy compositions, into the creation of data points for a specific type of composition, which overcame the common issue of data scarcity typically encountered in the design of a given type of metallic glasses. Using our generative model, we have successfully designed copper-based metallic glasses, which display exceptionally high hardness or a remarkably low modulus. Notably, our architecture can not only explore uncharted regions in the targeted compositional space but also permits self-improvement after experimental validated data points are added to the initial dataset for subsequent cycles of data generation, hence paving the way for the customized design of amorphous solids without human intervention.
  • 加载中
  • [1] Klement, W., Willens, R. H., and Duwez, P. O. L. (1960). Non-crystalline structure in solidified Gold-Silicon alloys. Nature 187: 869−870. DOI: 10.1038/187869b0.

    View in Article CrossRef Google Scholar Scopus

    [2] Ashby, M. F., and Greer, A. L. (2006). Metallic glasses as structural materials. Scr. Mater. 54: 321−326. DOI: 10.1016/j.scriptamat.2005.09.051.

    View in Article CrossRef Google Scholar Scopus

    [3] Khan, M. M., Nemati, A., Rahman, Z. U., et al. (2018). Recent advancements in bulk metallic glasses and their applications: A review. Crit. Rev. Solid State Mater. Sci. 43: 233−268. DOI: 10.1080/10408436.2017.1358149.

    View in Article CrossRef Google Scholar

    [4] Baiker, A. (1989). Metallic glasses in heterogeneous catalysis. Faraday Discuss Chem. Soc. 87: 239−251. DOI: 10.1039/DC9898700239.

    View in Article CrossRef Google Scholar Scopus

    [5] Scully, J. R., Gebert, A., and Payer, J. H. (2007). Corrosion and related mechanical properties of bulk metallic glasses. J. Mater. Res. 22: 302−313. DOI: 10.1557/jmr.2007.0051.

    View in Article CrossRef Google Scholar Scopus

    [6] Zeng, Q., Sheng, H., Ding, Y., et al. (2011). Long-range topological order in metallic glass. Science 332: 1404−1406. DOI: 10.1126/science.1200324.

    View in Article CrossRef Google Scholar Scopus

    [7] Li, H. F., and Zheng, Y. F. (2016). Recent advances in bulk metallic glasses for biomedical applications. Acta Biomater. 36: 1−20. DOI: 10.1016/j.actbio.2016.03.047.

    View in Article CrossRef Google Scholar Scopus

    [8] Liu, Y., Wang, Y. M., Pang, H. F., et al. (2013). A Ni-free ZrCuFeAlAg bulk metallic glass with potential for biomedical applications. Acta Biomater. 9: 7043−7053. DOI: 10.1016/j.actbio.2013.02.019.

    View in Article CrossRef Google Scholar Scopus

    [9] Turner, T. (1887). The hardness of metals. Sci. Am. 24: 9618−9620. DOI: 10.1038/scientificamerican07161887-9618supp.

    View in Article CrossRef Google Scholar

    [10] Wang, W. H. (2012). The elastic properties, elastic models and elastic perspectives of metallic glasses. Prog. Mater. Sci. 57: 487−656. DOI: 10.1016/j.pmatsci.2011.07.001.

    View in Article CrossRef Google Scholar Scopus

    [11] Greer, A. L., Rutherford, K. L., and Hutchings, I. M. (2002). Wear resistance of amorphous alloys and related materials. Int. Mater. Rev. 47: 87−112. DOI: 10.1179/095066001225001067.

    View in Article CrossRef Google Scholar Scopus

    [12] Telford, M. (2004). The case for bulk metallic glass. Mater. Today 7: 36−43. DOI: 10.1016/S1369-7021(04)00124-5.

    View in Article CrossRef Google Scholar Scopus

    [13] Xia, X., Zhou, Z., Shang, Y., et al. (2023). Metallic glass-based triboelectric nanogenerators. Nat. Commun. 14: 1−12. DOI: 10.1038/s41467-023-36675-x.

    View in Article CrossRef Google Scholar Scopus

    [14] Li, Z., Huang, Z., Sun, F., et al. (2020). Forming of metallic glasses: mechanisms and processes. Mater. Today Adv. 7 : 100077. DOI: 10.1016/j.mtadv.2020.100077.

    View in Article Google Scholar

    [15] Sarac, B., and Eckert, J. (2022). Thermoplasticity of metallic glasses: Processing and applications. Prog. Mater. Sci. 127 : 100941. DOI: 10.1016/j.pmatsci.2022.100941.

    View in Article Google Scholar

    [16] Liu, Z., Chen, W., Carstensen, J., et al. (2016). 3D metallic glass cellular structures. Acta Mater. 105: 35−43. DOI: 10.1016/j.actamat.2015.11.057.

    View in Article CrossRef Google Scholar Scopus

    [17] Carmo, M., Sekol, R. C., Ding, S., et al. (2011). Bulk metallic glass nanowire architecture for electrochemical applications. ACS Nano 5: 2979−2983. DOI: 10.1021/nn200033c.

    View in Article CrossRef Google Scholar Scopus

    [18] Kumar, G., Tang, H. X., and Schroers, J. (2009). Nanomoulding with amorphous metals. Nature 457: 868−872. DOI: 10.1038/nature07718.

    View in Article CrossRef Google Scholar Scopus

    [19] Padmanabhan, J., Kinser, E. R., Stalter, M. A., et al. (2014). Engineering cellular response using nanopatterned bulk metallic glass. ACS Nano 8: 4366−4375. DOI: 10.1021/nn501874q.

    View in Article Google Scholar Scopus

    [20] Agrawal, A., and Choudhary, A. (2016). Perspective: Materials informatics and big data: Realization of the ‘fourth paradigm’ of science in materials science. APL Mater. 4 : 053208. DOI: 10.1063/1.4946894.

    View in Article Google Scholar

    [21] Wang, W. H. (2005). Elastic moduli and behaviors of metallic glasses. J. Non. Cryst. Solids 351: 1481−1485. DOI: 10.1016/j.jnoncrysol.2005.03.024.

    View in Article CrossRef Google Scholar Scopus

    [22] Wang, W. H. (2006). Correlations between elastic moduli and properties in bulk metallic glasses. J. Appl. Phys. 99 : 093506. DOI: 10.1063/1.2193060.

    View in Article Google Scholar

    [23] Liu, Y. H., Liu, C. T., Wang, W. H., et al. (2009). Thermodynamic origins of shear band formation and the universal scaling law of metallic glass strength. Phys. Rev. Lett. 103: 5−8. DOI: 10.1103/PhysRevLett.103.065504.

    View in Article CrossRef Google Scholar Scopus

    [24] Yang, B., Liu, C. T., and Nieh, T. G. (2006). Unified equation for the strength of bulk metallic glasses. Appl. Phys. Lett. 88 : 221911. DOI: 10.1063/1.2206099.

    View in Article Google Scholar

    [25] Ma, D., Stoica, A. D., Wang, X. L., et al. (2012). Elastic moduli inheritance and the weakest link in bulk metallic glasses. Phys. Rev. Lett. 108: 1−5. DOI: 10.1103/PhysRevLett.108.085501.

    View in Article CrossRef Google Scholar Scopus

    [26] Cai, A. H., Liu, Y., An, W. K., et al. (2013). Prediction of critical cooling rate for glass forming alloys by artificial neural network. Mater. Des. 52: 671−676. DOI: 10.1016/j.matdes.2013.06.012.

    View in Article CrossRef Google Scholar Scopus

    [27] Liu, X., Li, X., He, Q., et al. (2020). Machine learning-based glass formation prediction in multicomponent alloys. Acta Mater. 201: 182−190. DOI: 10.1016/j.actamat.2020.09.081.

    View in Article CrossRef Google Scholar Scopus

    [28] Zhou, Z. Q., He, Q. F., Liu, X. D., et al. (2021). Rational design of chemically complex metallic glasses by hybrid modeling guided machine learning. npj Comput. Mater. 7 : 138. DOI: 10.1038/s41524-021-00607-4.

    View in Article Google Scholar

    [29] Keong, K. G., Sha, W., and Malinov, S. (2004). Artificial neural network modelling of crystallization temperatures of the Ni-P based amorphous alloys. Mater. Sci. Eng. A 365: 212−218. DOI: 10.1016/j.msea.2003.09.030.

    View in Article CrossRef Google Scholar Scopus

    [30] Xiong, J., Shi, S. Q., and Zhang, T. Y. (2020). A machine-learning approach to predicting and understanding the properties of amorphous metallic alloys. Mater. Des. 187 : 108378. DOI: 10.1016/j.matdes.2019.108378.

    View in Article Google Scholar

    [31] Esterhuizen, J. A., Goldsmith, B. R., Linic, S. (2022). Interpretable machine learning for knowledge generation in heterogeneous catalysis. Nat. Catal. 5: 175−184. DOI: 10.1038/s41929-022-00744-z.

    View in Article CrossRef Google Scholar Scopus

    [32] Tang, Y., Wan, Y., Wang, Z., et al. (2022). Machine learning and Python assisted design and verification of Fe–based amorphous/nanocrystalline alloy. Mater. Des. 219: 110726. DOI: 10.1016/j.matdes.2022.110726.

    View in Article CrossRef Google Scholar Scopus

    [33] Wang, W. H. (2014). High-entropy metallic glasses. Jom 66: 2067−2077. DOI: 10.1007/s11837-014-1002-3.

    View in Article CrossRef Google Scholar

    [34] Yeh, J. W., Chen, S. K., Lin, S. J., et al. (2004). Nanostructured high-entropy alloys with multiple principal elements: Novel alloy design concepts and outcomes. Adv. Eng. Mater. 6: 299−303. DOI: 10.1002/ADEM.200300567.

    View in Article CrossRef Google Scholar Scopus

    [35] Mamun, O., Wenzlick, M., Sathanur, A., et al. (2021). Machine learning augmented predictive and generative model for rupture life in ferritic and austenitic steels. npj Mater. Degrad. 5: 1−10. DOI: 10.1038/s41529-021-00166-5.

    View in Article CrossRef Google Scholar Scopus

    [36] Lee, S. Y., Byeon, S., Kim, H. S., et al. (2021). Deep learning-based phase prediction of high-entropy alloys: Optimization, generation, and explanation. Mater. Des. 197: 109260. DOI: 10.1016/j.matdes.2020.109260.

    View in Article CrossRef Google Scholar Scopus

    [37] Rao, Z., Tung, P. Y., Xie, R., et al. (2022). Machine learning–enabled high-entropy alloy discovery. Science 378: 78−85. DOI: 10.1126/science.abo4940.

    View in Article CrossRef Google Scholar Scopus

    [38] Zhou, Z., Shang, Y., Liu, X., et al. (2023). A generative deep learning framework for inverse design of compositionally complex bulk metallic glasses. npj Comput. Mater. 9: 1−8. DOI: 10.1038/s41524-023-00968-y.

    View in Article CrossRef Google Scholar Scopus

    [39] Ye, Y. F., Liu, C. T., and Yang, Y. (2015). A geometric model for intrinsic residual strain and phase stability in high entropy alloys. Acta Mater. 94: 152−161. DOI: 10.1016/j.actamat.2015.04.051.

    View in Article CrossRef Google Scholar Scopus

    [40] Hu, Y. C., Schroers, J., Shattuck, M. D., et al. (2019). Tuning the glass-forming ability of metallic glasses through energetic frustration. Phys. Rev. Mater. 3: 85602. DOI: 10.1103/PhysRevMaterials.3.085602.

    View in Article CrossRef Google Scholar Scopus

    [41] He, Q. F., Ding, Z. Y., Ye, Y. F., et al. (2017). Design of high-entropy alloy: A perspective from nonideal mixing. Jom 69: 2092−2098. DOI: 10.1007/s11837-017-2452-1.

    View in Article CrossRef Google Scholar

    [42] Zhou, Z., Zhou, Y., He, Q., et al. (2019). Machine learning guided appraisal and exploration of phase design for high entropy alloys. npj Comput. Mater. 5: 1−9. DOI: 10.1038/s41524-019-0265-1.

    View in Article CrossRef Google Scholar Scopus

    [43] Goodfellow, I., Pouget-Abadie, J., Mirza, M., et al. (2020). Generative adversarial networks. Commun. ACM 63: 139−144. DOI: 10.1145/3422622.

    View in Article CrossRef Google Scholar Scopus

    [44] Ren, F., Ward, L., Williams, T., et al. (2018). Accelerated discovery of metallic glasses through iteration of machine learning and high-throughput experiments. Sci. Adv. 4 (4) DOI: 10.1126/sciadv.aaq1566.

    View in Article Google Scholar

    [45] Ward, L., O’Keeffe, S. C., Stevick, J., et al. (2018). A machine learning approach for engineering bulk metallic glass alloys. Acta Mater. 159: 102−111. DOI: 10.1016/j.actamat.2018.08.002.

    View in Article CrossRef Google Scholar Scopus

    [46] Sun, Y. T., Bai, H. Y., Li, M. Z., et al. (2017). Machine learning approach for prediction and understanding of glass-forming ability. J. Phys. Chem. Lett. 8: 3434−3439. DOI: 10.1021/acs.jpclett.7b01046.

    View in Article CrossRef Google Scholar

    [47] Guo, S. and Liu, C. T. (2010). New glass forming ability criterion derived from cooling consideration. Intermetallics 18: 2065−2068. DOI: 10.1016/j.intermet.2010.06.012.

    View in Article CrossRef Google Scholar Scopus

    [48] Lu, Z. P., Bei, H., and Liu, C. T. (2007). Recent progress in quantifying glass-forming ability of bulk metallic glasses. Intermetallics 15(5-6): 618−624. DOI: 10.1016/j.intermet.2006.10.017.

    View in Article CrossRef Google Scholar Scopus

    [49] Liu, W. Y., Zhang, H. F., Wang, A. M., et al. (2007). New criteria of glass forming ability, thermal stability and characteristic temperatures for various bulk metallic glass systems. Mater. Sci. Eng. A 459: 196−203. DOI: 10.1016/j.msea.2007.01.033.

    View in Article CrossRef Google Scholar Scopus

    [50] Tan, H., Zhang, Y., Ma, D., et al. (2003). Optimum glass formation at off-eutectic composition and its relation to skewed eutectic coupled zone in the La based La–Al–(Cu,Ni) pseudo ternary system. Acta Mater. 51: 4551−4561. DOI: 10.1016/S1359-6454(03)00291-X.

    View in Article CrossRef Google Scholar

    [51] Komatsu, T. (1995). Application of fragility concept to metallic glass formers. J. Non. Cryst. Solids 185: 199−202. DOI: 10.1016/0022-3093(95)00237-5.

    View in Article CrossRef Google Scholar Scopus

    [52] Long, Z., Wei, H., Ding, Y., et al. (2009). A new criterion for predicting the glass-forming ability of bulk metallic glasses. J. Alloys Compd. 475: 207−219. DOI: 10.1016/j.jallcom.2008.07.087.

    View in Article CrossRef Google Scholar Scopus

    [53] Long, Z., Liu, W., Zhong, M., et al. (2018). A new correlation between the characteristics temperature and glass-forming ability for bulk metallic glasses. J. Therm. Anal. Calorim. 132: 1645−1660. DOI: 10.1007/s10973-018-7050-0.

    View in Article CrossRef Google Scholar Scopus

    [54] Johnson, W. L., Na, J. H., and Demetriou, M. D. (2016). Quantifying the origin of metallic glass formation. Nat. Commun. 7 (1): 10313. DOI: 10.1038/ncomms10313.

    View in Article Google Scholar

    [55] Xiong, J., Zhang, T. Y., and Shi, S. Q. (2019). Machine learning prediction of elastic properties and glass-forming ability of bulk metallic glasses. MRS Commun. 9: 576−585. DOI: 10.1557/mrc.2019.44.

    View in Article CrossRef Google Scholar Scopus

    [56] Inoue, A., Kitamura, A., and Masumoto, T. (1983). The effect of aluminium on mechanical properties and thermal stability of (Fe, Ni)-Al-P ternary amorphous alloys. J. Mater. Sci. 18: 753−758. DOI: 10.1007/BF00745573.

    View in Article CrossRef Google Scholar

    [57] Inoue, A., Bizen, Y., Kimura, H. M., et al. (1987). Development of compositional short-range ordering in an Al50Ge40Mn10 amorphous alloy upon annealing. J. Mater. ence Lett. 6: 811−814. DOI: 10.1007/BF01729021.

    View in Article CrossRef Google Scholar

    [58] Tsai, A. P., Inoue, A., and Masumoto, T. (1988). Formation of metal-metal type aluminum-based amorphous alloys. Metall. Trans. A 19: 1369−1371. DOI: 10.1007/BF02662599.

    View in Article CrossRef Google Scholar Scopus

    [59] Tsai, A.-P., Inoue, A., and Masumoto, T. (1988). Ductile Al-Ni-Zr amorphous alloys with high mechanical strength. J. Mater. Sci. Lett. 7: 805−807. DOI: 10.1007/BF00723766.

    View in Article CrossRef Google Scholar Scopus

    [60] Inoue, A. (1998). Amorphous, nanoquasicrystalline and nanocrystalline alloys in Al-based systems. Prog. Mater. Sci. 43: 365−520. DOI: 10.1016/S0079-6425(98)00005-X.

    View in Article CrossRef Google Scholar Scopus

    [61] Wada, T., Jiang, J., Yubuta, K., et al. (2019). Septenary Zr–Hf–Ti–Al–Co–Ni–Cu high-entropy bulk metallic glasses with centimeter-scale glass-forming ability. Materialia 7: 100372. DOI: 10.1016/j.mtla.2019.100372.

    View in Article CrossRef Google Scholar Scopus

    [62] Zhang, L. C., and Xu, J. (2004). Glass-forming ability of melt-spun multicomponent (Ti, Zr, Hf)–(Cu, Ni, Co)–Al alloys with equiatomic substitution. J. Non. Cryst. Solids 347: 166−172. DOI: 10.1016/j.jnoncrysol.2004.09.007.

    View in Article CrossRef Google Scholar

    [63] Jia, P., Zhu, Z. dong, Ma, E., et al. (2009). Notch toughness of Cu-based bulk metallic glasses. Scr. Mater. 61: 137−140. DOI: 10.1016/j.scriptamat.2009.03.024.

    View in Article CrossRef Google Scholar Scopus

    [64] Johnson, W. L., and Samwer, K. (2005). A universal criterion for plastic yielding of metallic glasses with a (T/Tg)2/3 temperature dependence. Phys. Rev. Lett. 95: 2−5. DOI: 10.1103/PhysRevLett.95.195501.

    View in Article CrossRef Google Scholar

    [65] Kim, C. P., Suh, J. Y., Wiest, A., et al. (2009). Fracture toughness study of new Zr-based Be-bearing bulk metallic glasses. Scr. Mater. 60: 80−83. DOI: 10.1016/j.scriptamat.2008.09.001.

    View in Article CrossRef Google Scholar Scopus

    [66] Xiong, J. (2021). Materials informatics and its application to metallic materials design and discovery. PhD thesis (The Hong Kong Polytechnic University).

    View in Article Google Scholar

    [67] Zhang, L., Shi, L., and Xu, J. (2009). Hf–Cu–Ni–Al bulk metallic glasses : Optimization of glass-forming ability and plasticity. J. Non. Cryst. Solids 355: 1005−1007. DOI: 10.1016/j.jnoncrysol.2009.04.009.

    View in Article CrossRef Google Scholar

    [68] Li, S., Wang, R. J., Pan, M. X., et al. (2005). Bulk metallic glasses based on heavy rare earth dysprosium. Scripta Mater. 53 : 1489–1492. DOI: 10.1016/j.scriptamat.2005.07.036.

    View in Article Google Scholar

    [69] Sarker, S., Tang-Kong, R., Schoeppner, R., et al. (2022). Discovering exceptionally hard and wear-resistant metallic glasses by combining machine-learning with high throughput experimentation. Appl. Phys. Rev. 9 : 011403. DOI: 10.1063/5.0068207.

    View in Article Google Scholar

    [70] Karras, T., Aittala, M., Hellsten, J., et al. (2020). Training generative adversarial networks with limited data. Adv. Neural Inf. Process Syst. 33: 12104−12114.

    View in Article Google Scholar Scopus

    [71] Yao, Z., Sánchez-Lengeling, B., Bobbitt, N. S., et al. (2021). Inverse design of nanoporous crystalline reticular materials with deep generative models. Nat. Mach. Intell. 3: 76−86. DOI: 10.1038/s42256-020-00271-1.

    View in Article CrossRef Google Scholar Scopus

    [72] Gurnani, R., Kamal, D., Tran, H., et al. (2021). PolyG2G: A novel machine learning algorithm applied to the generative design of polymer dielectrics. Chem. Mater. 33: 7008−7016. DOI: 10.1021/acs.chemmater.1c02061.

    View in Article CrossRef Google Scholar

    [73] Zhang, L., Shi, L., and Xu, J. (2009). Hf–Cu–Ni–Al bulk metallic glasses: Optimization of glass-forming ability and plasticity. J. Non. Cryst. Solids 355: 1005−1007. DOI: 10.1016/j.jnoncrysol.2009.04.009.

    View in Article CrossRef Google Scholar

    [74] Li, X., Bian, X., Hu, L., et al. (2007). Glass transition temperature of bulk metallic glasses: A linear connection with the mixing enthalpy. J. Appl. Phys. 101 :103540. DOI: 10.1063/1.2736345.

    View in Article Google Scholar

    [75] Lu, Z., and Li, J. (2009). Correlation between average melting temperature and glass transition temperature in metallic glasses. Appl. Phys. Lett. 94: 2008−2010. DOI: 10.1063/1.3081028.

    View in Article CrossRef Google Scholar Scopus

    [76] Huang, Y., Shen, J., Sun, Y., et al. (2010). Indentation size effect of hardness of metallic glasses. Mater. Des. 31: 1563−1566. DOI: 10.1016/j.matdes.2009.09.046.

    View in Article CrossRef Google Scholar Scopus

    [77] Zorzi, J. E., and Perottoni, C. A. (2013). Estimating Young’s modulus and Poisson’s ratio by instrumented indentation test. Mater. Sci. Eng. A 574: 25−30. DOI: 10.1016/j.msea.2013.03.008.

    View in Article CrossRef Google Scholar

    [78] Jennings, A. T., Burek, M. J., and Greer, J. R. (2010). Microstructure versus size : Mechanical properties of electroplated single crystalline Cu nanopillars. Phys. Rev. Lett. 104 : 135503. DOI: 10.1103/PhysRevLett.104.135503.

    View in Article Google Scholar

    [79] Kiener, D., and Minor, A. M. (2011). Source-controlled yield and hardening of Cu (100) studied by in situ transmission electron microscopy. Acta Mater. 59: 1328−1337. DOI: 10.1016/j.actamat.2010.10.065.

    View in Article CrossRef Google Scholar

    [80] Okamoto, N. L., Kashioka, D., Hirato, T., et al. (2014). Specimen- and grain-size dependence of compression deformation behavior in nanocrystalline copper. Int. J. Plast 56: 173−183. DOI: 10.1016/j.ijplas.2013.12.003.

    View in Article CrossRef Google Scholar Scopus

    [81] Chen, C. Q., Pei, Y. T., and Hosson, J. T. M. De. (2010). Effects of size on the mechanical response of metallic glasses investigated through in situ TEM bending and compression experiments. Acta Mater. 58: 189−200. DOI: 10.1016/j.actamat.2009.08.070.

    View in Article CrossRef Google Scholar Scopus

    [82] Liu, Y., Niu, C., Wang, Z., et al. (2020). Machine learning in materials genome initiative: A review. J. Mater. Sci. Technol. 57: 113−122. DOI: 10.1016/j.jmst.2020.01.067.

    View in Article CrossRef Google Scholar Scopus

    [83] Wu, S., Kondo, Y., Kakimoto, M. aki, et al. (2019). Machine-learning-assisted discovery of polymers with high thermal conductivity using a molecular design algorithm. npj Comput. Mater. 5 : 66. DOI: 10.1038/s41524-019-0203-2.

    View in Article Google Scholar

    [84] Ren, Z., Tian, S. I. P., Noh, J., et al. (2022). An invertible crystallographic representation for general inverse design of inorganic crystals with targeted properties. Matter 5: 314−335. DOI: 10.1016/j.matt.2021.11.032.

    View in Article CrossRef Google Scholar Scopus

  • Cite this article:

    Shang Y., Zhou Z., Han R., et al., (2024). Customized design of amorphous solids by generative deep learning. The Innovation Materials 2(2): 100071. https://doi.org/10.59717/j.xinn-mater.2024.100071
    Shang Y., Zhou Z., Han R., et al., (2024). Customized design of amorphous solids by generative deep learning. The Innovation Materials 2(2): 100071. https://doi.org/10.59717/j.xinn-mater.2024.100071

Welcome!

To request copyright permission to republish or share portions of our works, please visit Copyright Clearance Center's (CCC) Marketplace website at marketplace.copyright.com.

Figures(6)    

Share

  • Share the QR code with wechat scanning code to friends and circle of friends.

Article Metrics

Article views(5000) PDF downloads(1454)

Relative Articles

Cited by

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint