05 / Elasticity · Computational methodology

Mechanical properties of MAPI

Why do published calculations and measurements of MAPI’s elastic properties disagree, and which computational choices produce reliable reference values?

TOC graphic for Resolving discrepancies in the mechanical properties of MAPI

Preprint

Preprint

Overview

This work systematically evaluates the mechanical properties of cubic, tetragonal, and orthorhombic CH₃NH₃PbI₃. By testing structures, functionals, van der Waals corrections, pseudopotentials, k-point sampling, calculation methods, symmetry assumptions, and averaging formulas, it identifies the main sources of disagreement in the literature.

Key resultCrystal symmetry and exchange-correlation treatment dominate the discrepancies; PBE with Grimme-D2 gives the best overall agreement.

My contributionSystematic first-principles benchmarking, elastic-tensor analysis, and comparison with experiment.

Why do published calculations and measurements of MAPI’s elastic properties disagree, and which computational choices produce reliable reference values?

Approach

  • Complete stiffness and compliance tensors for all three MAPI phases
  • Comparison of energy-density and stress-based elastic calculations
  • Tests of LDA, PBE, PBEsol, pseudopotentials, and van der Waals schemes
  • Tensor rotation, anisotropic Young’s modulus, and Voigt–Reuss–Hill polycrystalline averages

What emerged

  • Energy-density and stress methods, as well as the tested pseudopotentials, produce relatively small differences.
  • Correct treatment of crystal symmetry and the anisotropic stiffness tensor is essential; inappropriate symmetry assumptions can substantially distort results.
  • Exchange-correlation functionals strongly affect structure and therefore elastic response, while van der Waals corrections are important for tetragonal and orthorhombic phases.
  • PBE with Grimme-D2 and dense k-point sampling gives the best agreement with available measurements; dense sampling matters most for directional anisotropy rather than polycrystalline averages.

Media and supporting material

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