Table 1 Optimized structure of CH3NH3PbI3 with the external electric field E = 0.00–0.06 eV/Å/e including lattice parameters (a, b, c), bond distances (d), cell volumes (V), the final energies (EFinal), Cartesian coordinates of Pb, C, and N, and the Pb-N-C angle. Units are Å, Å, Å3, eV, 1, and °.

From: Role of an external electric field on hybrid halide perovskite CH3NH3PbI3 band gaps

Functions

Optimized structure

x = 0.00

x = 0.01

x = 0.02

x = 0.03

x = 0.04

x = 0.05

x = 0.06

PBE

a

8.9032

9.2071

9.2584

9.2498

9.3200

9.2692

9.0738

b

13.0752

13.9164

14.4428

14.9694

15.2694

15.5758

16.0369

c

8.4972

8.6082

8.7385

9.0650

10.0066

10.6834

10.8378

V

989.1600

1102.9588

1168.4963

1255.1677

1424.0542

1542.4216

1577.0738

d(C-N)

1.493

1.488

1.490

1.493

1.496

1.500

1.502

d(I-Pb)

3.169

3.273

3.430

3.538

3.690

3.773

4.318

 

3.320

3.539

3.634

3.761

3.874

4.012

4.144

E Final

−12501.21889

−12489.29171

−12475.24448

−12459.64554

−12441.06694

−12422.84539

−12408.32328

Cartesian coordinates (x,y,z)

Pb

(0,0,0.5)

(0,0,0.5)

(0,0,0.5)

(0,0,0.5)

(0,0,0.5)

(0,0,0.5)

(0,0,0.5)

C

(0.0876,0,75, 0.9447)

(0.0866,0.75, 0.9556)

(0.0932,0.75, 0.9159)

(0.0994,0.75, 0.9211)

(0.0994,0.75, 0.9211)

(0.1094,0.75, 0.9107)

(0.1152,0.75, 0.9041)

N

(−0.0585, 0.75, 1.0185)

(−0.0651, 0.75, 1.013)

(−0.0493, 0.75, 1.0065)

(−0.0429, 0.75, 0.9990)

(−0.0429, 0.75, 0.9890)

(−0.0285, 0.75, 0.9843)

(−0.0229, 0.75, 0.9797)

θ

77.005

78.465

76.549

78.138

77.338

76.718

76.674

PBEsol

a

8.8774

8.9074

8.8567

8.7382

8.6475

8.4017

8.2677

b

12.8425

13.3065

13.4663

13.8718

14.16068

14.4834

14.9474

c

8.5542

8.4694

8.5846

8.8155

9.2884

9.9500

10.3411

V

975.2591

1003.8505

1023.8576

1068.5584

1137.4005

1210.7628

1277.9559

d(C-N)

1.481

1.479

1.481

1.482

1.482

1.479

1.472

d(I-Pb)

3.201

3.388

3.413

3.492

3.578

3.700

3.856

 

3.299

2.952

3.004

2.990

3.513

3.545

3.350

E Final

−12458.46453

−12449.90457

−12449.90457

−12437.68499

−12424.7522

−12411.71698

−12397.74163

Cartesian coordinates (x,y,z)

Pb

(0,0,0.5)

(0,0,0.5)

(0,0,0.5)

(0,0,0.5)

(0,0,0.5)

(0,0,0.5)

(0,0,0.5)

C

(0.0905,0,75, 0.9352)

(0.0947,0.75, 0.9333)

(0.0968,0.75, 0.9226)

(0.1019,0.75, 0.9160)

(0.1049,0.75, 0.9130)

(0.1100,0.75, 0.9072)

(0.1142,0.75, 0.8987)

N

(−0.0600, 0.75, 1.0093)

(−0.0549, 0.75, 1.0089)

(−0.0484, 0.75, 1.0080)

(−0.0406, 0.75, 1.0073)

(−0.0351, 0.75, 1.0050)

(−0.0246, 0.75, 1.0029)

(−0.0147, 0.75, 0.9969)

θ

77.112

77.752

76.698

76.081

75.260

73.583

72.869