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Structural formula: Ti1 Al1 W2 O8

Functional: optB88-vDW

Space group : P1

Calculation type: Bulk

JARVIS ID: JVASP-9327

Formation energy/atom (eV): -2.463

Relaxed energy/atom (eV): -6.8706

Primitive cell lattice parameters

a 4.944 Å , b 5.417 Å , c 5.641 Å

α 106.356 ° , β 85.88 ° , γ 108.425 °

Conventional cell lattice parameters

a 4.944 Å , b 5.417 Å , c 5.641 Å

α 106.356 ° , β 85.88 ° , γ 108.425 °

Download input files

Convergence

Calculations are done using VASP software. Convergence on KPOINTS and ENCUT is done with respect to total energy of the system within 0.001 eV tolerance. Please note convergence on KPOINTS and ENCUT is generally done for target properties, but here we assume energy-convergence with 0.001 eV should be sufficient for other properties also. The points on the curves are obtained with single-point calculation (nuber of ionic steps,NSW=1). However, for very accurate calculations, NSW>1 might be needed.

Structural analysis

The following shows the X-ray diffraction (XRD) pattern and the Radial distribution function (RDF) plots. XRD peaks should be comparable to experiments for bulk structures. Relative intensities may differ.

Electronic structure

The following shows the electronic density of states and bandstructure. DFT is generally predicted to underestimate bandgap of materials. Accurate band-gaps are obtained with higher level methods (with high computational requirement) such as HSE, GW, which are under progress. Total DOS, Orbital DOS and Element dos buttons are provided for density of states options. Energy is rescaled to make Fermi-energy zero. In the bandstructure plot, spin up is is shown with blue lines while spin down are shown with red lines. Non-degenerate spin-up and spin-down states (if applicable) would imply a net orbital magnetic moment in the system. Fermi-occupation tolerance for bandgap calculation is chosen as 0.001.

High-symmetry kpoints based bandgap (eV): 0.0039I

Optical properties Semi-local

Incident photon energy dependence of optical is shown below. Only interband optical transitions are taken into account.Please note the underestimatation of band-gap problem with DFT will reflect in the spectra as well. For very accurate optical properties GW/BSE calculation would be needed, which is yet to be done because of their very high computational cost. Optical properties for layered materials needs to be rescaled with the actual thickness to simulation z-box ratio. Absorption coeffiecient is in cm-1 unit.

Dense k-mesh based bandgap is : 0.0078 eV

Elastic tensor and derived phonon properties

Elastic tensor calculated for the conventional cell of the system with finite-difference method. For layered materials, the elastic constants are rescaled with respect to vacuum padding (see the input files) and the units for elastic coefficients are in N/m. Phonons obtained from this calcuation are also shown.

WARNING: Please note this may not be the exact phonon modes of the system as we did not test the cell-size dependence of phonons yet. At least 1.2 nm x1.2 nm x1.2 nm or more is needed for obtaining reliable phonon spectrum. For systems having primitive-cell phonon representation tables, I denotes infrared activity and R denotes Raman active modes (where applicabale). The minimum thermal conductivity was calculated using elastic tensor information following Clarke and Cahill formalism.

Bulk Modulus BV 120.933 GPa

Shear Modulus GV 46.66 GPa

155.5 105.7 62.5 5.0 9.6 -46.4
105.7 301.2 75.5 -9.7 -11.0 -15.0
62.5 75.5 144.3 37.8 -10.5 -46.1
5.0 -9.7 37.8 37.1 4.7 1.5
9.6 -11.0 -10.5 4.7 24.0 12.1
-46.4 -15.0 -46.1 1.5 12.1 53.1
Phonon mode (cm-1)
-52.167312097
-0.0954718934
-0.0304496821
0.1384159493
89.8630428481
101.512042196
120.0797947
168.134988713
173.692755697
201.668673163
212.020185263
226.336393393
239.377812079
260.969979761
266.369730076
284.439677275
326.744658299
337.230012948
344.906785863
371.331497573
378.879827423
410.398707822
419.119162567
443.263834539
456.087365972
475.400532095
492.310482554
546.148111788
565.839172216
570.238768826
596.149802927
640.601097736
650.978156981
730.099479458
754.176151258
889.486773086

Point group

point_group_type: 1

Visualize Phonons here
Phonon mode (cm-1) Representation
-52.167312097 A I+R
-0.0954718934 A I+R
-0.0304496821 A I+R
0.1384159493 A I+R
89.8630428481 A I+R
101.512042196 A I+R
120.0797947 A I+R
168.134988713 A I+R
173.692755697 A I+R
201.668673163 A I+R
212.020185263 A I+R
226.336393393 A I+R
239.377812079 A I+R
260.969979761 A I+R
266.369730076 A I+R
284.439677275 A I+R
326.744658299 A I+R
337.230012948 A I+R
344.906785863 A I+R
371.331497573 A I+R
378.879827423 A I+R
410.398707822 A I+R
419.119162567 A I+R
443.263834539 A I+R
456.087365972 A I+R
475.400532095 A I+R
492.310482554 A I+R
546.148111788 A I+R
565.839172216 A I+R
570.238768826 A I+R
596.149802927 A I+R
640.601097736 A I+R
650.978156981 A I+R
730.099479458 A I+R
754.176151258 A I+R
889.486773086 A I+R

Magnetic moment

The orbital magnetic moment was obtained after SCF run. Please note no DFT+U parameters were taken into account.

7.260 μB

Reference


mvc-646
mvc-646 MP link