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Structural formula: K4 B4 F16

Functional: optB88-vDW

Space group : Pnma

Calculation type: Bulk

JARVIS ID: JVASP-21522

Formation energy/atom (eV): -3.144

Relaxed energy/atom (eV): -3.7958

Primitive cell lattice parameters

a 5.428 Å , b 6.973 Å , c 8.562 Å

α 90.0 ° , β 90.0 ° , γ 90.0 °

Conventional cell lattice parameters

a 5.428 Å , b 6.973 Å , c 8.562 Å

α 90.0 ° , β 90.0 ° , γ 90.0 °

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. 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.

Bandgap (eV): 8.5803I

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.

Optical properties METAGGA-MBJ

Single point DFT calculation was carried out with meta-gga MBJ functional. This should give reasonable bandgap, and optical properties assuming the calculation was properly converged. Incident photon energy dependence of optical is shown below. Only interband optical transitions are taken into account.

MBJ bandgap is : 12.49 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 25.456 GPa

Shear Modulus GV 11.953 GPa

37.1 11.9 25.9 -0.0 0.0 -0.0
11.9 51.2 13.0 -0.0 -0.0 0.0
25.9 13.0 39.2 0.0 0.0 0.0
-0.0 -0.0 -0.0 5.4 0.0 -0.0
0.0 0.0 -0.0 0.0 15.3 0.0
-0.0 -0.0 0.0 -0.0 0.0 13.5
Phonon mode (cm-1)
-0.097187942
-0.0845373543
-0.0655436136
50.7548328097
53.9127072804
56.3188265315
57.9766489607
60.3930739593
63.4153513277
74.3317273669
77.408504461
77.4975011901
80.0462222345
87.2675329119
89.1737996596
89.8061479751
98.4322942912
100.965452697
103.469760944
107.059093624
116.332644487
118.054760953
125.78348584
127.473380522
129.990935299
130.536121982
133.868363661
136.901062635
139.453215184
143.016743264
144.26746327
152.835201869
153.137813022
167.523543332
169.246676615
170.195855123
342.711963541
343.675295518
345.567836868
346.039709512
347.071781294
349.048864373
353.805170541
354.802345888
494.210433509
496.151123514
497.80999502
502.115979888
503.489034376
504.485318199
505.46067796
505.672513093
511.37534218
512.34772858
512.39210987
515.193563984
745.573792402
747.285614698
747.829592102
748.63060986
983.853312023
984.903311949
1005.23685009
1008.92843153
1011.87792432
1012.86107676
1019.1826725
1042.17935146
1049.51324984
1060.52230423
1081.25283816
1125.84058697

Point group

point_group_type: mmm

Visualize Phonons here
Phonon mode (cm-1) Representation
-0.0971879421 B1u I
-0.0845373542 B2u I
-0.0655436135 B3u I
50.7548328097 Au
53.9127072804 B1g R
56.3188265315 Ag R
57.9766489607 B3u I
60.3930739593 B1u I
63.4153513277 B2g R
74.3317273669 Ag R
77.408504461 B2u I
77.4975011901 Au
80.0462222345 B3g R
87.2675329119 B2g R
89.1737996596 B1u I
89.8061479751 B3g R
98.4322942912 B1g R
100.965452697 Au
103.469760944 Ag R
107.059093624 B1g R
116.332644487 B2g R
118.054760953 B3u I
125.78348584 B1g R
127.473380522 B3g R
129.990935299 B2u I
130.536121982 Ag R
133.868363661 Au
136.901062635 B2g R
139.453215184 B1u I
143.016743264 B3u I
144.26746327 B2u I
152.835201869 B3g R
153.137813022 B2u I
167.523543332 Ag R
169.246676615 B1u I
170.195855123 B3g R
342.711963541 B3g R
343.675295518 Ag R
345.567836868 B2u I
346.039709512 B2g R
347.071781294 B1g R
349.048864373 B3u I
353.805170541 B1u I
354.802345888 Au
494.210433509 Au
496.151123514 B3u I
497.80999502 B2u I
502.115979888 Ag R
503.489034376 B1u I
504.485318199 B3g R
505.46067796 B2g R
505.672513093 B1g R
511.37534218 B1u I
512.34772858 Ag R
512.39210987 B2u I
515.193563984 B3g R
745.573792402 B1u I
747.285614698 B3g R
747.829592102 B2u I
748.63060986 Ag R
983.853312023 Au
984.903311949 B3u I
1005.23685009 B1g R
1008.92843153 B2g R
1011.87792432 B2u I
1012.86107676 Ag R
1019.1826725 B1u I
1042.17935146 Ag R
1049.51324984 B1u I
1060.52230423 B3g R
1081.25283816 B3g R
1125.84058697 B2u I

Magnetic moment

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

0.000 μB

Reference


mp-4929
MP link