Table 1 Results of ab initio MD computations for ZrO2 and HfO2 on 270 atoms.

From: Combined computational and experimental investigation of high temperature thermodynamics and structure of cubic ZrO2 and HfO2

 

T, °C

CPU, Hours

MD length, ps

Volume,

Å3/atom

Energy,

eV/atom

HSE P correction, kBar

HSE E correction,

eV/atom

a, Å

Density, g·cm−3

Cubic ZrO2

2327

10600

15

12.32 (2)

−8.829 (5)

−52.02

−1.97

5.288 (2)

5.54 (1)

2527

26000

34

12.43 (2)

−8.761 (4)

−51.19

−1.97

5.303 (2)

5.49 (1)

2627

26500

34

12.50 (2)

−8.720 (4)

−50.83

−1.97

5.313 (2)

5.46 (1)

2727

11200

14

12.54 (2)

−8.687 (4)

−51.08

−1.96

5.320 (2)

5.44 (1)

Liquid ZrO2

2827

29300

31

14.03 (5)

−8.490 (4)

−44.45

−1.93

 

4.86 (2)

2927

29300

31

14.16 (4)

−8.456 (4)

−43.91

−1.92

 

4.82 (1)

3127

29600

28

14.39 (4)

−8.383 (4)

−43.45

−1.92

 

4.74 (1)

Cubic HfO2

2527

19200

62

11.96 (1)

−9.346 (4)

−59.05

−1.98

5.235 (2)

9.74 (1)

2627

19200

59

12.00 (1)

−9.306 (4)

−59.34

−1.98

5.242 (2)

9.71 (1)

2727

  7800

23

12.08 (2)

−9.264 (6)

−58.84

−1.98

5.253 (2)

9.65 (1)

Liquid HfO2

2827

21500

56

13.35 (5)

−9.068 (4)

−51.89

−1.95

 

8.73 (3)

2927

21800

56

13.40 (5)

−9.038 (4)

−51.46

−1.94

 

8.69 (3)

3127

22800

55

13.66 (4)

−8.963 (7)

−51.36

−1.94

 

8.53 (2)