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Deep learning for fast and accurate predictions of crystallographic and thermodynamic properties of multi-component solid solution alloys

The lattice parameter is pivotal to identify multi-component systems with improved structural and thermal properties. CSED CSMD ORNL Computational Sciences and Mathematics Computer
The lattice parameter is pivotal to identify multi-component systems with improved structural and thermal properties. We compare linear regression against a residual neural network (ResNet) trained on values of the lattice parameters for unary and binary alloys to predict values of the lattice parameters of ternary alloys. Root mean-squared error (RMSE) and parity plot are used as figures of merit. The ResNet model attains higher accuracy, which is shown both by a lower RMSE and by the parity plot which is very narrow and matches the diagonal. Therefore, DL shows stronger potential for learning relevant nonlinear physical features than more standard machine learning techniques.

Surrogate deep learning (DL) models were trained to predict crystallographic properties (e.g., lattice parameters) and thermodynamic properties (e.g., Gibbs free energy) of multi-component solid solution alloys as a function of element composition and temperature. The demonstrated approach will allow material scientists to efficiently leverage sparse data defined in a high dimensional space, thus overcoming the challenges of data scarcity in material science.

We developed surrogate DL model trained on dataset generated by the computational thermodynamics approach CALPHAD. Using unary and binary data for crystallographic and thermodynamic quantities of interest (QoI) such as the lattice parameters and the Gibbs free energy, respectively, we trained the DL model to predict the same QoI for ternary systems. 

Numerical results show that our DL model can extrapolate information about the lattice parameter from unary and binary elements to produce accurate predictions of the lattice parameters of ternary alloys thereby reducing the relative error with respect to more standard machine learning models from 15% to 0.1%. Moreover, these predictions are made in seconds as opposed to hour-long experiments. 

This research is funded by the AI Initiative, as part of the Laboratory Directed Research and Development Program of Oak Ridge National Laboratory, managed by UT-Battelle, LLC, for the U.S. Department of Energy (DOE).