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SRO SiO₂

A 30 Å cubic SiO₂ supercell (2052 atoms) built with the short-range order regime (grain_size = 12 Å, displacement_sigma = 0.010), then refined through the four-stage pipeline.

To re-generate:

python scripts/regen_dftb_examples.py --regime sro --box 30.0

g(r) per stage

Pair g(r) for Si-O / O-O / Si-Si at each stage of the SRO SiO2 refinement

Si–O bond length distribution

Si-O bond length histogram for SRO SiO2 at each refinement stage
stageSi–O peak (Å)⟨r⟩ (Å)σ (Å)# Si–O bonds
Voronoi1.611.610.0702224
after orient1.611.610.0702224
after FIRE1.671.700.0902415
after DFTB+ (60 steps)1.651.720.0762342

DFTB+ pulls the peak back from 1.67 Å to 1.65 Å and narrows σ by ~16 % (0.090 → 0.076). Residual fmax at step 60 is 9.32 eV/Å — the 60-step cap stops the relax short of the 1.0 eV/Å target, but energy descent is monotonic across all 60 steps.

Angle distributions

O-Si-O and Si-O-Si angle histograms for SRO SiO2 at each refinement stage

Energy ladder

stageE_total (eV)ΔE vs previous
Voronoi-141093.01
after orient-141093.010
after FIRE-145637.05-4544
after DFTB+ relax-145981.82-345 (≈ -0.17 eV/atom)

Cell volume change Voronoi → DFTB+: +0.1 %. DFTB+ total at 60 steps is -71.1 eV/atom, matching the nanocrystalline and smaller-cell results.

DFTB+ relax wallclock: 11,670 s = 3.2 hr for the seed SP + 60 FIRE+UCF steps (~2.6 min/step on average).

Reproduction summary

knobvalue
cell side30 Å
atoms2052
grain_size12 Å
FIRE steps (atomode stage 3)200
pre-DFTB cleanupbond_relax(20) + enforce_hard_core(40)
DFTB+ optimizerASE FIRE, maxstep = 0.03 Å
DFTB+ cell DOFsvolume only (hydrostatic_strain=True)
DFTB+ fmax target1.0 eV/Å, 60-step cap
charge restartseed SP + ReadInitialCharges=Yes
SK setmatsci-0-3
k-points(1, 1, 1) Γ-only

Per-stage trajectory (extxyz): docs/figures/dftb/sro_traj.xyz