Table 3 Thermodynamic data for cubic and liquid HfO2.

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

Phase/Property

Value

Method

Reference

Cubic HfO 2

T (T-C) trs, °C

2530

Experimental best value

WZA 20066

T-C ΔV, %

0.87 ± 0.08

HT XRD Experiment

This work

Density, g/cm3

9.68–9.58

XRD at (2530–2800 °C)

This work

9.74–9.65

Ab initio MD at 2527–2727 °C

This work

Cp, J/mol/K

126 ± 4

Ab initio MD at 2527–2727 °C

This work

Linear TEC, α, K−1

(1.3 ± 0.4) ·10−5

HT XRD at (2530–2800 °C)

This work

Vol. TEC, αv, K−1

(4 ± 1) 10−5

HT XRD at (2311–2710 °C)

This work

(5.0 ± 0.7) ·10−5

Ab initio MD at 2527–2727 °C

This work

Tmlt, °C

2800

Experiment best value

WZA 20066

ΔV on melting, %

10 ± 2

Ab initio MD

This work

ΔHfus, kJ/mol

89.6

Assessed ΔS·Tm

WZA 20066

61 ± 10

DnC experiment

This work

52 ± 2

Ab initio MD

This work

ΔSfus, J/mol/K

29

Assessed from ZrO2 data

WZA 20066

20

Experiment ΔH/Tm (K)

This work

17

Ab initio MD ΔH/Tm (K)

This work

Liquid HfO 2

Density Liq, g/cm3

8.73–8.53

Ab initio MD at 2827–3127 °C

This work

8.16

PDF experiment

Gallington 201710

Cp Liq, J/mol/K

109 ± 15

Ab initio MD at 2727–3127 °C

This work

Vol. TEC, αv, K−1

(8 ± 1)·10−5

Ab initio MD at 2827–3127 °C

This work

  1. Best values for HfO2 tetragonal–cubic (T-C) transition and melting from WZA 06 assessment of experimental results (2530 and 2800 °C) were used for temperature calibration in diffraction experiments in this work. (TEC: Thermal Expansion Coefficient, Vol.: Volumetric).