journal article·2018-05Open access

Machine learning properties of binary wurtzite superlattices

G. Pilania, X.-Y. Liu

Journal of Materials Science· Volume 53· Issue 9

Abstract

The burgeoning paradigm of high-throughput computations and materials informatics brings new opportunities in terms of targeted materials design and discovery. The discovery process can be significantly accelerated and streamlined if one can learn effectively from available knowledge and past data to predict materials properties efficiently. Indeed, a very active area in materials science research is to develop machine learning based methods that can deliver automated and cross-validated predictive models using either already available materials data or new data generated in a targeted manner. In the present contribution, we show that fast and accurate predictions of a wide range of properties of binary wurtzite superlattices, formed by a diverse set of chemistries, can be made by employing state-of-the-art statistical learning methods trained on quantum mechanical computations in combination with a judiciously chosen numerical representation to encode materials’ similarity. These surrogate learning models then allow for efficient screening of vast chemical spaces by providing instant predictions of the targeted properties. Moreover, the models can be systematically improved in an adaptive manner, incorporate properties computed at different levels of fidelities and are naturally amenable to inverse materials design strategies. While the learning approach to make predictions for a wide range of properties (including structural, elastic and electronic properties) is demonstrated here for a specific example set containing more than 1200 binary wurtzite superlattices, the adopted framework is equally applicable to other classes of materials as well.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Machine Learning in Materials Science · Neural Networks and Applications · Machine Learning and ELM

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (81)

Show source-provided references
1. Agrawal A, Choudhary A (2016) Materials informatics and big data: realization of the ‘fourth paradigm’ of science in materials science. APL Mater 4:5320810.1063/1.4946894 ↗
2. Materials Genome Initiative. https://www.mgi.gov
3. Curtarolo S et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:19110.1038/nmat3568 ↗
4. Jain A, Hautier G, Ong SP, Persson K (2016) New opportunities for materials informatics: Resources and data mining techniques for uncovering hidden relationships. J Mater Res 31:977–99410.1557/jmr.2016.80 ↗
5. Rajan K (2005) Materials informatics. Mater Today 8:3810.1016/S1369-7021(05)71123-8 ↗
6. LeSar R (2009) Materials informatics: an emerging technology for materials development. Stat Anal Data Min 1:37210.1002/sam.10034 ↗
7. Ramprasad R, Batra R, Pilania G, Mannodi-Kanakkithodi A, Kim C (2017) Machine learning and materials informatics: recent applications and prospects. ArXiv Prepr arXiv:17070729410.1038/s41524-017-0056-5 ↗
8. Montavon G et al (2013) Machine learning of molecular electronic properties in chemical compound space. New J Phys 15:9500310.1088/1367-2630/15/9/095003 ↗
9. Pilania G, Wang C, Jiang X, Rajasekaran S, Ramprasad R (2013) Accelerating materials property predictions using machine learning. Sci Rep 3:281010.1038/srep02810 ↗
10. Meredig B et al (2014) Combinatorial screening for new materials in unconstrained composition space with machine learning. Phys Rev B 89:09410410.1103/PhysRevB.89.094104 ↗
11. Deml AM, O’Hayre R, Wolverton C, Stevanovic V (2016) Predicting density functional theory total energies and enthalpies of formation of metal-nonmetal compounds by linear regression. Phys Rev B 93:08514210.1103/PhysRevB.93.085142 ↗
12. Legrain F, Carrete J, van Roekeghem A, Curtarolo S, Mingo N (2017) How the chemical composition alone can predict vibrational free energies and entropies of solids. arXiv preprint arXiv:1703.0230910.1021/acs.chemmater.7b00789 ↗
13. Medasani B et al (2016) Predicting defect behavior in B2 intermetallics by merging ab initio modeling and machine learning. NPJ Comput Mater 2:110.1038/s41524-016-0001-z ↗
14. Seko A, Maekawa T, Tsuda K, Tanaka I (2014) Machine learning with systematic density functional theory calculations: Application to melting temperatures of single- and binary component solids. Phys Rev B 89:05430310.1103/PhysRevB.89.054303 ↗
15. Pilania G, Gubernatis JE, Lookman T (2015) Structure classification and melting temperature prediction in octet AB solids via machine learning. Phys Rev B 91:21430210.1103/PhysRevB.91.214302 ↗
16. Aryal S, Sakidja R, Barsoum MW, Ching W-Y (2014) A genomic approach to the stability, elastic, and electronic properties of the MAX phases. Phys Status Solidi 251:1480–149710.1002/pssb.201451226 ↗
17. De Jong M et al (2016) A statistical learning framework for materials science: Application to elastic moduli of k-nary inorganic polycrystalline compounds. Sci Rep 6:3425610.1038/srep34256 ↗
18. Pilania G et al (2016) Machine learning bandgaps of double perovskites. Sci Rep 6:1937510.1038/srep19375 ↗
19. Lee J, Seko A, Shitara K, Nakayama K, Tanaka I (2016) Prediction model of band gap for inorganic compounds by combination of density functional theory calculations and machine learning techniques. Phys Rev B 93:11510410.1103/PhysRevB.93.115104 ↗
20. Pilania G, Gubernatis JE, Lookman T (2017) Multi-fidelity machine learning models for accurate bandgap predictions of solids. Comput Mater Sci 129:156–16310.1016/j.commatsci.2016.12.004 ↗
21. Weston L, Stampfl C (2017) Machine learning the band gap properties of kesterite $$\text{I}_2$$–II–IV–$$\text{V}_4$$ quaternary compounds for photovoltaics applications. ArXiv Prepr arXiv:170808530
22. Seko A et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:20590110.1103/PhysRevLett.115.205901 ↗
23. Kim C, Pilania G, Ramprasad R (2016) From organized high-throughput data to phenomenological theory using machine learning: the example of dielectric breakdown. Chem Mater 28:1304–131110.1021/acs.chemmater.5b04109 ↗
24. Kim C, Pilania G, Ramprasad R (2016) Machine learning assisted predictions of intrinsic dielectric breakdown strength of $$\text{ABX}_3$$ perovskites. J Phys Chem C 120:14575–1458010.1021/acs.jpcc.6b05068 ↗
25. Hong WT, Welsch RE, Shao-Horn Y (2016) Descriptors of Oxygen-Evolution activity for oxides: A statistical evaluation. J Phys Chem C 120:78–8610.1021/acs.jpcc.5b10071 ↗
26. Li Z, Ma X, Xin H (2017) Feature engineering of machine-learning chemisorption models for catalyst design. Catal Today 280:232–23810.1016/j.cattod.2016.04.013 ↗
27. Pilania G et al (2017) Using machine learning to identify factors that govern amorphization of irradiated pyrochlores. Chem Mater 29:2574–258310.1021/acs.chemmater.6b04666 ↗
28. Xue D et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7:1124110.1038/ncomms11241 ↗
29. Xue D et al (2016) Accelerated search for $$\text{ BaTiO }_3$$-based piezoelectrics with vertical morphotropic phase boundary using bayesian learning. Proc Natl Acad Sci 113:13301–1330610.1073/pnas.1607412113 ↗
30. Ashton M, Hennig RG, Broderick SR, Rajan K, Sinnott SB (2016) Computational discovery of stable $$\text{ M }_2\text{ AX }$$ phases. Phys Rev B 94:2010.1103/PhysRevB.94.054116 ↗
31. Pilania G, Balachandran PV, Kim C, Lookman T (2016) Finding new perovskite halides via machine learning. Front Mater 3:1910.3389/fmats.2016.00019 ↗
32. Faber FA, Lindmaa A, von Lilienfeld OA, Armiento R (2016) Machine learning energies of 2 million elpasolite ($$\text{ABC}_2\text{D}_6$$) crystals. Phys Rev Lett 117:13550210.1103/PhysRevLett.117.135502 ↗
33. Fernandez M, Boyd PG, Da TD, Aghaji MZ, Woo TK (2014) Rapid and accurate machine learning recognition of high performing metal organic frameworks for $$\text{CO}_2$$ capture. J Phys Chem Lett 5:3056–306010.1021/jz501331m ↗
34. Emery AA, Saal JE, Kirklin S, Hegde VI, Wolverton C (2016) High-Throughput computational screening of perovskites for thermochemical water splitting applications. Chem Mater 28:5621–563410.1021/acs.chemmater.6b01182 ↗
35. Pilania G, Mannodi-Kanakkithodi A (2017) A First-principles identification of novel double perovskites for water-splitting applications. J Mater Sci 52:8518–8525. https://doi.org/10.1007/s10853-017-1060-310.1007/s10853-017-1060-3 ↗
36. Ghiringhelli LM, Vybiral J, Levchenko SV, Draxl C, Scheffler M (2015) Big data of materials science: critical role of the descriptor. Phys Rev Lett 114:10550310.1103/PhysRevLett.114.105503 ↗
37. Mueller T, Kusne AG, Ramprasad R (2016) Machine learning in materials science. In: Parril AL, Lipkowitz KB (eds) Reviews in computational chemistry. Wiley, Hoboken, pp 186–27310.1002/9781119148739.ch4 ↗
38. Bartok AP, Kondor R, Csanyi G (2013) On representing chemical environments. Phys Rev B 87:18411510.1103/PhysRevB.87.184115 ↗
39. Behler J (2014) Representing potential energy surfaces by high-dimensional neural network potentials. J Phys Condens Matter 26:18300110.1088/0953-8984/26/18/183001 ↗
40. Li Z, Kermode JR, De Vita A (2015) Molecular dynamics with on-the-fly machine learning of quantum-mechanical forces. Phys Rev Lett 114:09640510.1103/PhysRevLett.114.096405 ↗
41. Botu V, Ramprasad R (2015) Learning scheme to predict atomic forces and accelerate materials simulations. Phys Rev B 92:09430610.1103/PhysRevB.92.094306 ↗
42. Botu V, Ramprasad R (2015) Adaptive machine learning framework to accelerate ab initio molecular dynamics. Int J Quantum Chem 115:1074–108310.1002/qua.24836 ↗
43. Yu ET, Chow DH, McGill TC (1988) Commutativity of the GaAs/AlAs (100) band offset. Phys Rev B 38:1276410.1103/PhysRevB.38.12764 ↗
44. Larsson MW, Wagner JB, Wallin M, Hakansson P, Fröberg LE, Samuelson L, Wallenberg LR (2006) Strain mapping in free-standing heterostructured wurtzite InAs/InP nanowires. Nanotechnology 18:01550410.1088/0957-4484/18/1/015504 ↗
45. Chang YM, Liou SC, Chen CH, Lee HM, Gwo S (2010) The electrostatic coupling of longitudinal optical phonon and plasmon in wurtzite InN thin films. Appl Phys Lett 96:04190810.1063/1.3299021 ↗
46. Koguchi M, Kakibayashi H, Yazawa M, Hiruma K, Katsuyama T (1992) Crystal structure change of GaAs and InAs whiskers from zinc-blende to wurtzite type. Jpn J Appl Phys 31:206110.1143/JJAP.31.2061 ↗
47. Ma C, Moore D, Li J, Wang ZL (2003) Nanobelts, nanocombs, and nanowindmills of wurtzite ZnS. Adv Mater 15:228–23110.1002/adma.200390052 ↗
48. Kohn W (1999) Nobel Lecture: Electronic structure of matter–wave functions and density functionals. Rev Mod Phys 71:125310.1103/RevModPhys.71.1253 ↗
49. Martin R (2004) Electronic structure: basic theory and practical methods. Cambridge University Press, New York10.1017/CBO9780511805769 ↗
50. Kresse G, Furthmuller J (1996) Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys Rev B 54:11169–1118610.1103/PhysRevB.54.11169 ↗
51. Materials Project. https://materialsproject.org
52. Perdew JP, Wang Y (1992) Accurate and simple analytic representation of the electron-gas correlation energy. Phys Rev B 45:1324410.1103/PhysRevB.45.13244 ↗
53. Blöchl P (1994) Projector augmented-wave method. Phys Rev B 50:17953–1797910.1103/PhysRevB.50.17953 ↗
54. Monkhorst HJ, Pack JD (1976) Special points for Brillouin-zone integrations. Phys Rev B 13:518810.1103/PhysRevB.13.5188 ↗
55. Heyd J, Scuseria GE, Ernzerhof E (2006) Hybrid functionals based on a screened Coulomb potential. J Chem Phys 124:21990610.1063/1.2204597 ↗
56. Born M, Huang K (1956) Dynamical theory of crystal lattices. Clarendon, Oxford
57. Huan TD, Mannodi-Kanakkithodi A, Ramprasad R (2015) Accelerated materials property predictions and design using motif-based fingerprints. Phys Rev B 92:01410610.1103/PhysRevB.92.014106 ↗
58. Botu V, Batra R, Chapman J, Ramprasad R (2016) Machine learning force fields: construction, validation, and outlook. J Phys Chem C 121:511–52210.1021/acs.jpcc.6b10908 ↗
59. Jasrasaria D, Pyzer-Knapp EO, Rappoport D, Aspuru-Guzik A (2016) Space-filling curves as a novel crystal structure representation for machine learning models. arXiv preprint arXiv:1608.05747
60. Huang B, von Lilienfeld OA (2016) Communication: understanding molecular representations in machine learning: the role of uniqueness and target similarity. J Chem Phys 145:16110210.1063/1.4964627 ↗
61. Seko A, Togo A,Tanaka I (2017) Descriptors for machine learning of materials data. arXiv preprint arXiv:1709.01666
62. Cubuk ED, Malone BD, Onat B, Waterland A, Kaxiras E (2017) Representations in neural network based empirical potentials. J Chem Phys 147:02410410.1063/1.4990503 ↗
63. Artrith N, Urban A, Ceder G (2017) Efficient and accurate machine-learning interpolation of atomic energies in compositions with many species. Phys Rev B 96:01411210.1103/PhysRevB.96.014112 ↗
64. Huo H, Rupp M (2017) Unified representation for machine learning of molecules and crystals. arXiv preprint arXiv:1704.06439
65. Mannodi-Kanakkithodi A, Pilania G, Huan TD, Lookman T, Ramprasad R (2016) Machine learning strategy for accelerated design of polymer dielectrics. Sci Rep 6:2095210.1038/srep20952 ↗
66. Hastie T, Tibshirani R, Friedman J (2009) The elements of statistical learning: data mining, inference, and prediction. Springer, New York10.1007/978-0-387-84858-7 ↗
67. Vu K et al (2015) Understanding kernel ridge regression: common behaviors from simple functions to density functionals. Int J Quantum Chem 115:1115–112810.1002/qua.24939 ↗
68. Rupp M (2015) Machine learning for quantum mechanics in a nutshell. Int J Quantum Chem 115:1058–107310.1002/qua.24954 ↗
69. Muller K-R, Mika S, Ratsch G, Tsuda K, Scholkopf B (2001) An introduction to kernel-based learning algorithms. IEEE Trans Neural Netw 12:18110.1109/72.914517 ↗
70. Sze SM, Ng KK (2006) Physics of semiconductor devices. Wiley, Hoboken10.1002/0470068329 ↗
71. Weber MJ (2002) Handbook of optical materials. CRC Press, Boca Raton10.1201/9781420050196 ↗
72. Madelung O (2012) Semiconductors: data handbook. Springer, New York
73. Sham LJ, Schlüter M (1983) Density-functional theory of the energy gap. Phys Rev Lett 51:188810.1103/PhysRevLett.51.1888 ↗
74. Cohen AJ, Mori-Sánchez P, Yang W (2008) Fractional charge perspective on the bandgap in density-functional theory. Phys Rev B 77:11512310.1103/PhysRevB.77.115123 ↗
75. Mori-Sánchez P, Cohen AJ, Yang W (2008) Localization and delocalization errors in density functional theory and implications for band-gap prediction. Phys Rev Lett 100:14640110.1103/PhysRevLett.100.146401 ↗
76. Jain A, Shin Y, Persson KA (2016) Computational predictions of energy materials using density functional theory. Nat Rev Mater 1:1500410.1038/natrevmats.2015.4 ↗
77. Olivares-Amaya R et al (2011) Accelerated computational discovery of high-performance materials for organic photovoltaics by means of cheminformatics. Energy Environ Sci 4:484910.1039/c1ee02056k ↗
78. Nilsson A, Pettersson LG, Nørskov J (2011) Chemical bonding at surfaces and interfaces. Elsevier, Amsterdam
79. Dey P, Bible J, Datta S, Broderick S, Jasinski J, Sunkara M, Menon M, Rajan K (2014) Informatics-aided bandgap engineering for solar materials. Comput Mater Sci 83:18510.1016/j.commatsci.2013.10.016 ↗
80. Castelli IE, Garca-Lastra JM, Hüser F, Thygesen KS, Jacobsen KW (2013) Stability and bandgaps of layered perovskites for one-and two-photon water splitting. New J Phys 15:10502610.1088/1367-2630/15/10/105026 ↗
81. Rasmussen F, Thygesen KS (2015) Computational 2D materials database: electronic structure of transition-metal dichalcogenides and oxides. Phys Chem C 119:13169–1318310.1021/acs.jpcc.5b02950 ↗