Table 1 Comparison of the lattice parameters and unit cell volume for the P2/1a structure of melamine as obtained from experimental data and semi-local plane-wave DFT predictions utilising different DFT-D formulations.

From: Non-invasive detection of hazardous materials with a thermal-to-epithermal neutron station: a feasibility study towards practical application

Method

a (Å)

b (Å)

c (Å)

\(\alpha \) (°)

\(\beta \) (°)

\(\gamma \) (°)

Volume (Å\(^3\))

SCND40 (14 K)

10.433

7.458

7.238

90.0

113.30

90.0

517.25

HRPND (–d633 (15 K)

10.448

7.456

7.243

90.0

113.37

90.0

517.97

PBE-TS [0.07 1/Å]

10.592

7.409

7.152

90.0

113.28

90.0

515.54

PBE-TS [0.05 1/Å]

10.566

7.411

7.166

90.0

113.21

90.0

515.70

PBE-TS [0.02 1/Å]

10.566

7.411

7.166

90.0

113.21

90.0

515.70

PBE-TS-SCS [0.05 1/Å]

10.832

7.352

7.282

90.0

109.89

90.0

545.30

PBE-MBD@rsSCS [0.05 1/Å]

10.645

7.321

7.170

90.0

111.64

90.0

519.33

PBE-D4 [0.05 1/Å]

10.533

7.380

7.231

90.0

112.24

90.0

520.17

PBE-D3(BJ)-ATM [0.05 1/Å]

10.573

7.382

7.253

90.0

111.86

90.0

525.37

PBE-D3(BJ) [0.05 1/Å]

10.573

7.382

7.253

90.0

111.87

90.0

525.37

PBE-D3(0) [0.05 1/Å]

10.625

7.398

7.253

90.0

111.82

90.0

529.28

PBE-D2 [0.05 1/Å]

10.329

7.368

7.147

90.0

113.74

90.0

497.86

PBE [0.05 1/Å]

11.459

7.370

7.626

90.0

104.05

90.0

624.76

HRPND (–d633 (297 K)

10.583

7.479

7.283

90.0

112.27

90.0

533.38

SCXRD39 (300 K)

10.606

7.495

7.295

90.0

112.26

90.0

536.68

SCXRD36 (300 K)

10.537

7.477

7.275

90.0

112.90

90.0

527.99

PBE-TS AIMD 300 K [0.05 1/Å]

10.686

7.496

7.247

90.0

113.21

90.0

533.47

  1. The experimental data were obtained from single-crystal neutron (SCND)40 and x-ray (SCXRD)36,39 diffraction along with high-resolution time-of-flight neutron powder diffraction (HRPND) experiments33. The finite-temperature structural parameters obtained from AIMD simulations are compared with the room-temperature experimental data33,36,39. The k–point spacing given in square brackets [in 1/Å] defines the accuracy of the Brillouin zone sampling, which converges with the density mesh of 0.5 1/Å. The unit cell dimensions are in the units of Å. The cell volume is tabulated in Å\(^{3}\).