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HfO2

Elasticity Data ELA

MP-ID: mp-775757 · Space group: Pbca (#61)

Basic Information

Formula
HfO2
MP-ID
mp-775757
Elements
2
Sites
24
Density
10.2456
g/cm³
Volume
272.92
ų
Cell a
10.0937
Å
Cell b
5.1414
Å
Cell c
5.2590
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pbca
Point Group
mmm
Crystal System
Orthorhombic
Bravais Lattice
Orthorhombic P
Stability
No
Packing Fraction
0.5240

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
17.57 5.0469 4.2 (2,0,0)
24.72 3.6016 8.6 (2,1,0)
25.79 3.4544 32.9 (1,1,1)
30.07 2.9716 100.0 (2,1,1)
34.10 2.6295 4.7 (0,0,2)
34.90 2.5707 14.7 (0,2,0)
35.27 2.5446 19.5 (1,0,2)
35.58 2.5234 17.3 (4,0,0)
36.19 2.4820 19.3 (3,1,1)
39.00 2.3095 4.7 (0,2,1)
40.05 2.2513 3.6 (1,2,1)
42.57 2.1237 1.0 (2,1,2)
43.50 2.0805 5.1 (4,1,1)
43.69 2.0718 7.3 (3,0,2)
47.30 1.9217 3.9 (3,1,2)
47.77 1.9041 1.1 (3,2,1)
49.59 1.8382 2.7 (0,2,2)
50.10 1.8207 2.9 (4,0,2)
50.46 1.8084 18.9 (1,2,2)
50.69 1.8008 16.4 (4,2,0)
51.66 1.7695 1.3 (5,1,1)
53.81 1.7037 6.0 (4,2,1)
54.55 1.6823 1.6 (6,0,0)
56.18 1.6372 12.3 (1,1,3)
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Energy Properties

Formation Energy/atom
-4.00988
eV/atom
Energy/atom
-10.62759
eV/atom
Energy above Hull
0.0099
eV/atom
Uncorrected Energy
-22.9293
eV/atom
Volume/atom
11.37
ų
c/a Ratio
-

Electronic Properties

Metallic
Non-metal
Band Gap
4.017
eV
Direct Gap
Yes
CBM
N/A
eV

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.0000
μB
Mag. Ordering
Unknown
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

KVRH
217.870
GPa
GVRH
103.555
GPa
Young's Modulus E
268.176
GPa
Poisson Ratio ν
0.295
Pugh Ratio K/G
2.104
Vickers Hardness Est.
9.646
GPa
Ductility
Brittle
Anisotropy
0.256
Lame λ
148.833
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.667
Element Family
Metalloid-Nonmetal
Solute Fraction
0.333
Interstitial Fraction
0.000

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
0.2560
Homogeneous Poisson ν
0.2950
Debye Temperature
496.3
K
Sound Velocity
3,548.8
m/s
Homogeneity
0.2950

Related Tasks

Related computation task IDs (2)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-775757
Reference Citation

The crystal structure and related material properties of HfO2 were obtained from the Materials Project database (MP-ID: mp-775757, database version v2026.04.13).

Literature Citation

Horton, M.K., Huck, P., Yang, R.X. et al. Accelerated data-driven materials science with the Materials Project. Nat. Mater. 24, 1522–1532 (2025). https://doi.org/10.1038/s41563-025-02272-0

BibTeX
@article{Horton2025,
  author  = {Horton, Matthew K. and Huck, Patrick and Yang, Ruo Xi and Munro, Jason M. and Dwaraknath, Shyam and Ganose, Alex M. and Kingsbury, Ryan S. and Wen, Mingjian and Shen, Jimmy X. and Mathis, Tyler S. and Kaplan, Aaron D. and Berket, Karlo and Riebesell, Janosh and George, Janine and Rosen, Andrew S. and Spotte-Smith, Evan W. C. and McDermott, Matthew J. and Cohen, Orion A. and Dunn, Alex and Kuner, Matthew C. and Rignanese, Gian-Marco and Petretto, Guido and Waroquiers, David and Griffin, Sinead M. and Neaton, Jeffrey B. and Chrzan, Daryl C. and Asta, Mark and Hautier, Geoffroy and Cholia, Shreyas and Ceder, Gerbrand and Ong, Shyue Ping and Jain, Anubhav and Persson, Kristin A.},
  title   = {Accelerated data-driven materials science with the Materials Project},
  journal = {Nature Materials},
  year    = {2025},
  volume  = {24},
  number  = {10},
  pages   = {1522--1532},
  month   = {oct},
  doi     = {10.1038/s41563-025-02272-0},
  issn    = {1476-4660},
  url     = {https://doi.org/10.1038/s41563-025-02272-0},
  abstract = {The Materials Project was launched formally in 2011 to drive materials discovery forwards through high-throughput computation and open data. More than a decade later, the Materials Project has become an indispensable tool used by more than 600,000 materials researchers around the world. This Perspective describes how the Materials Project, as a data platform and a software ecosystem, has helped to shape research in data-driven materials science. We cover how sustainable software and computational methods have accelerated materials design while becoming more open source and collaborative in nature. Next, we present cases where the Materials Project was used to understand and discover functional materials. We then describe our efforts to meet the needs of an expanding user base, through technical infrastructure updates ranging from data architecture and cloud resources to interactive web applications. Finally, we discuss opportunities to better aid the research community, with the vision that more accessible and easy-to-understand materials data will result in democratized materials knowledge and an increasingly collaborative community.}
}

3D Crystal Structure Rendering

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_HfO2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.09373135
_cell_length_b   5.14134738
_cell_length_c   5.25900202
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   HfO2
_chemical_formula_sum   'Hf8 O16'
_cell_volume   272.91790420
_cell_formula_units_Z   8
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Hf  Hf0  1  0.13811216  0.95931184  0.34269293  1.0
  Hf  Hf1  1  0.13811216  0.54068816  0.84269293  1.0
  Hf  Hf2  1  0.36188784  0.45931184  0.34269293  1.0
  Hf  Hf3  1  0.36188784  0.04068816  0.84269293  1.0
  Hf  Hf4  1  0.63811216  0.95931184  0.15730707  1.0
  Hf  Hf5  1  0.63811216  0.54068816  0.65730707  1.0
  Hf  Hf6  1  0.86188784  0.45931184  0.15730707  1.0
  Hf  Hf7  1  0.86188784  0.04068816  0.65730707  1.0
  O  O8  1  0.03364634  0.83141708  0.66708938  1.0
  O  O9  1  0.03364634  0.66858292  0.16708938  1.0
  O  O10  1  0.22371351  0.24759954  0.08750211  1.0
  O  O11  1  0.22371351  0.25240046  0.58750211  1.0
  O  O12  1  0.27628649  0.74759954  0.08750211  1.0
  O  O13  1  0.27628649  0.75240046  0.58750211  1.0
  O  O14  1  0.46635366  0.16858292  0.16708938  1.0
  O  O15  1  0.46635366  0.33141708  0.66708938  1.0
  O  O16  1  0.53364634  0.66858292  0.33291062  1.0
  O  O17  1  0.53364634  0.83141708  0.83291062  1.0
  O  O18  1  0.72371351  0.24759954  0.41249789  1.0
  O  O19  1  0.72371351  0.25240046  0.91249789  1.0
  O  O20  1  0.77628649  0.74759954  0.41249789  1.0
  O  O21  1  0.77628649  0.75240046  0.91249789  1.0
  O  O22  1  0.96635366  0.16858292  0.33291062  1.0
  O  O23  1  0.96635366  0.33141708  0.83291062  1.0
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