Table 2 Structural, electronic, and magnetic properties of selected iron-based compounds.

From: Exploring DFT+U parameter space with a Bayesian calibration assisted by Markov chain Monte Carlo sampling

Material

XC

a

b

c

Volume

Bandgap

Mag. Mom.

MP

Fe

Experiment

2.87a

  

23.64

0.0b

2.22c

FMb

Im\(\overline{3}\)m

LDA (+U)

2.75 (2.83)

  

20.71 (22.55)

0.00 (0.00)

1.95 (2.73)

FM (FM)

 

PBE, (+U)

2.83 (2.84)

  

22.58 (22.96)

0.00 (0.00)

2.19 (2.09)

FM (FM)

 

PBEsol (+U)

2.78 (2.85)

  

21.59 (23.22)

0.00 (0.00)

2.12 (2.71)

FM (FM)

Fe2P

Experiment

5.87d

 

3.46d

119.34

0.0e

1.91f (Fe(II))

FMf

P\(\overline{6}\)2m

LDA +U)

5.56 (5.88)

 

3.42 (3.32)

91.31 (99.37)

0.00 (0.00)

1.11 (2.26)

FM (FM)

 

PBE (+U)

5.81 (5.91)

 

3.41 (3.38)

99.55 (102.43)

0.00 (0.00)

2.25 (2.09)

FM (FM)

 

PBEsol (+U)

5.70 (5.90)

 

3.40 (3.36)

95.70 (101.25)

0.00 (0.00)

2.03 (2.23)

FM (FM)

Fe3Ge

Experiment

5.17g

 

4.22g

112.79

0.0g

2.00g

FMg

P63/mmc

LDA (+U)

4.95 (5.18)

 

4.03 (4.17)

85.69 (96.80)

0.00 (0.00)

1.25 (2.75)

FM (FM)

 

PBE (+U)

5.14 (5.17)

 

4.20 (4.21)

95.83 (97.50)

0.00 (0.00)

2.18 (2.37)

FM (FM)

 

PBEsol (+U)

5.15 (5.17)

 

4.22 (4.28)

96.85 (98.97)

0.00 (0.00)

2.17 (2.66)

FM (FM)

BaFeO3

Experiment

3.97h

  

62.57

1.8i

3.50i

FMi

Pm\(\overline{3}\)m

LDA (+U)

3.86 (3.90)

  

57.31 (59.09)

0.00 (0.00)

2.64 (3.56)

FM (FM)

 

PBE (+U)

3.97 (3.98)

  

62.47 (63.24)

0.00 (0.00)

3.02 (3.37)

FM (FM)

 

PBEsol (+U)

3.90 (3.91)

  

59.39 (59.75)

0.00 (0.00)

2.88 (3.45)

FM (FM)

SrFeO3

Experiment

3.85j

  

57.06

1.8k

3.10m

FMo

Pm\(\overline{3}\)m

LDA (+U)

3.74 (3.78)

  

52.24 (53.93)

0.00 (0.00)

2.51 (3.49)

FM (FM)

 

PBE (+U)

3.84 (3.85)

  

56.70 (57.21)

0.00 (0.00)

2.87 (3.15)

FM (FM)

 

PBEsol (+U)

3.77 (3.79)

  

53.45 (54.64)

0.00 (0.00)

2.71 (3.36)

FM (FM)

FeO

Experiment

4.31q,s

  

80.06

1p-2.4r

3.32q

AFMq

Fm\(\overline{3}\)m

LDA (+U)

4.15 (4.20)

  

71.28 (73.31)

0.00 (2.85)

3.30 (0.12)

AFM (AFM)

 

PBE (+U)

4.24 (4.27)

  

76.43 (77.74)

0.00 (0.00)

3.40 (3.51)

AFM (AFM)

 

PBEsol (+U)

4.15 (4.22)

  

70.25 (75.24)

0.00 (0.00)

3.29 (3.55)

AFM (AFM)

α − Fe2O3

Experiment

5.03t

 

13.75t

301.82

2.1u

4.9u

AFMv

R\(\overline{3}\)c

LDA (+U)

4.62 (4.95)

 

13.31 (13.60)

246.03 (289.03)

0.00 (1.74)

1.11 (4.00)

AFM (AFM)

 

PBE, (+U)

5.00 (5.05)

 

13.86 (13.91)

300.59 (306.85)

0.53 (1.15)

3.55 (3.85)

AFM (AFM)

 

PBEsol (+U)

4.91 (5.00)

 

13.66 (13.73)

285.18 (297.22)

0.30 (1.49)

3.36 (3.95)

AFM (AFM)

AlFeB2

Experiment

2.92w

11.03w

2.87w

92.23w

0.0x

1.21w,y,z

FMw,y,z

Cmmm

LDA (+U)

2.90 (2.87)

11.13 (10.84)

2.64 (2.85)

85.17 (88.53)

0.0 (0.0)

0.0 (1.64)

FM (FM)

 

PBE (+U)

2.92 (2.92)

11.01 (11.01)

2.86 (2.86)

91.91 (91.91)

0.0 (0.0)

1.40 (1.52)

FM (FM)

 

PBEsol (+U)

2.92 (2.92)

11.01 (11.01)

2.86 (2.86)

91.91 (91.91)

0.0 (0.0)

1.37 (1.57)

FM (FM)

Fe5PB2

Experiment

5.49l

 

10.35l

311.67

0.0

1.73 l

FMl

I4/mcm

LDA (+U)

5.45 (5.45)

 

10.31 (10.31)

306.45 (306.45)

0.0 (0.0)

1.43 (2.21)

FM (FM)

 

PBE (+U)

5.44 (5.51)

 

10.34 (10.39)

305.79 (315.32)

0.0 (0.0)

1.79 (1.99)

FM (FM)

 

PBEsol (+U)

5.35 (5.48)

 

10.18 (10.26)

292.08 (308.12)

0.0 (0.0)

1.55 (2.11)

FM (FM)

Fe5SiB2

Experiment

5.55l

 

10.34l

318.45

0.0

1.83l

FMl

I4/mcm

LDA (+U)

5.45 (5.45)

 

10.31 (10.31)

306.45 (306.45)

0.00 (0.0)

1.48 (2.11)

FM (FM)

 

PBE (+U)

5.50 (5.54)

 

10.33 (10.42)

312.25 (320.29)

0.00 (0.0)

1.84 (1.98)

FM (FM)

 

PBEsol (+U)

5.43 (5.51)

 

10.12 (10.27)

298.58 (312.42)

0.0 (0.0)

1.61 (2.04)

FM (FM)

  1. Values outside (inside) parenthesis are from simulations using DFT (DFT+U). The DFT+U calculations were performed using the mean values of U and J from the distributions. Letters a, b, and c represent the lattice parameters. MP represents the final magnetic phase. Volume, bandgap, and magnetic moment are expressed in units of Å3, eV, and Bohr magneton (μB), respectively.
  2. a Ref. 114, b Ref. 115, c Ref. 116, d Ref. 117, e Ref. 118, f Ref. 85, g Ref. 86, h Ref. 119, i Ref. 91, j Ref. 120, k Ref. 93, l Ref. 121, m Ref. 122, n Ref. 123, o Ref. 124, p Ref. 125, q Ref. 126, r Ref. 127, s Ref. 128, t Ref. 129, u Ref. 130, v Ref. 131, w Ref. 132, x Ref. 133, y Ref. 134, z Ref. 135.