Uncertainty quantification of DFT-predicted finite temperature thermodynamic properties within the Debye model
Abstract
Density functional theory (DFT) calculations are routinely used to screen for functional materials for a variety of applications. This screening is often carried out with a few descriptors, which use ground-state properties that typically ignore finite temperature effects. Finite-temperature effects can be included by calculating the vibration properties, and this can greatly improve the fidelity of computational screening. An important challenge for DFT-based screening is the sensitivity of the predictions to the choice of the exchange correlation function. In this work, we rigorously explore the sensitivity of finite temperature thermodynamic properties to the choice of the exchange correlation functional using the built-in error estimation capabilities within the Bayesian Error Estimation Functional-van der Waals (BEEF-vdW). The vibrational properties are estimated using the Debye model, and we quantify the uncertainty associated with finite-temperature properties for a diverse collection of materials. We find good agreement with experiment and small spread in predictions over different exchange correlation functionals for Mg, Al2O3, Al, Ca, and GaAs. In the case of Li, Li2O, and NiO, however, we find a large spread in predictions as well as disagreement between experiment and functionals due to complex bonding environments. While the energetics generated by the BEEF-vdW ensemble is typicallymore »
- Authors:
-
- Carnegie Mellon Univ., Pittsburgh, PA (United States)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Energy Efficiency and Renewable Energy (EERE)
- OSTI Identifier:
- 1799384
- Alternate Identifier(s):
- OSTI ID: 1580166
- Grant/Contract Number:
- EE0007810
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 151; Journal Issue: 24; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Chemistry; Physics; Exchange correlation functionals; Debye model; Thermodynamic functions; Thermodynamic properties; Vibrational properties; Bulk modulus; Entropy; Density functional theory
Citation Formats
Guan, Pin-Wen, Houchins, Gregory, and Viswanathan, Venkatasubramanian. Uncertainty quantification of DFT-predicted finite temperature thermodynamic properties within the Debye model. United States: N. p., 2019.
Web. doi:10.1063/1.5132332.
Guan, Pin-Wen, Houchins, Gregory, & Viswanathan, Venkatasubramanian. Uncertainty quantification of DFT-predicted finite temperature thermodynamic properties within the Debye model. United States. https://doi.org/10.1063/1.5132332
Guan, Pin-Wen, Houchins, Gregory, and Viswanathan, Venkatasubramanian. Mon .
"Uncertainty quantification of DFT-predicted finite temperature thermodynamic properties within the Debye model". United States. https://doi.org/10.1063/1.5132332. https://www.osti.gov/servlets/purl/1799384.
@article{osti_1799384,
title = {Uncertainty quantification of DFT-predicted finite temperature thermodynamic properties within the Debye model},
author = {Guan, Pin-Wen and Houchins, Gregory and Viswanathan, Venkatasubramanian},
abstractNote = {Density functional theory (DFT) calculations are routinely used to screen for functional materials for a variety of applications. This screening is often carried out with a few descriptors, which use ground-state properties that typically ignore finite temperature effects. Finite-temperature effects can be included by calculating the vibration properties, and this can greatly improve the fidelity of computational screening. An important challenge for DFT-based screening is the sensitivity of the predictions to the choice of the exchange correlation function. In this work, we rigorously explore the sensitivity of finite temperature thermodynamic properties to the choice of the exchange correlation functional using the built-in error estimation capabilities within the Bayesian Error Estimation Functional-van der Waals (BEEF-vdW). The vibrational properties are estimated using the Debye model, and we quantify the uncertainty associated with finite-temperature properties for a diverse collection of materials. We find good agreement with experiment and small spread in predictions over different exchange correlation functionals for Mg, Al2O3, Al, Ca, and GaAs. In the case of Li, Li2O, and NiO, however, we find a large spread in predictions as well as disagreement between experiment and functionals due to complex bonding environments. While the energetics generated by the BEEF-vdW ensemble is typically normal, the complex mapping through the Debye model leads to the derived finite temperature properties having non-Gaussian behavior. We test a wide variety of probability distributions that best represent the finite temperature distribution and find that properties such as specific heat, Gibbs free energy, entropy, and thermal expansion coefficient are well described by normal or transformed normal distributions, while the prediction spread of volume at a given temperature does not appear to be drawn from a single distribution. Given the computational efficiency of the approach, we believe that uncertainty quantification should be routinely incorporated into finite-temperature predictions. In order to facilitate this, we have open-sourced the code base under the name dePye.},
doi = {10.1063/1.5132332},
journal = {Journal of Chemical Physics},
number = 24,
volume = 151,
place = {United States},
year = {Mon Dec 23 00:00:00 EST 2019},
month = {Mon Dec 23 00:00:00 EST 2019}
}
Web of Science
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