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Al2O3

Al2O3 is Corundum structured and crystallizes in the trigonal R-3c space group. Al(1) is bonded to six equivalent O(1) atoms to form a mixture of face, edge, and corner-sharing AlO6 octahedra. The corner-sharing octahedral tilt angles range from 48–60°. There are three shorter (1.87 Å) and three longer (1.99 Å) Al(1)–O(1) bond lengths. O(1) is bonded to four equivalent Al(1) atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids.

Highlights

Qubits
Depth
Baseline
8106.185×10^8
Phasecraft
1,36839,461
Applications
Batteries
Catalysis
Engines
Experimental instrument
Photovoltaics

Material info

Name
Al2O3
Materials Project ID
mp-1143
Number of atoms
10
Spacegroup
R-3c

Density Functional Theory

Kohn-Sham electrons
44
Kohn-Sham electrons occupied
24
Pseudo family
ONCVPSP

Circuitry

Circuit depth
39,461
Number of interactions
63,433
Number of modes
1,350
Number of qubits
1,368
Number of two-qubit gates
1,644,741

Encoding

Number of groups
27
Modes per group
50
Translatable
3,511
Non-translatable
1,888
Tiled translatable
52,137
Tiled nontranslatable
11,296
System dimensions
[3, 3, 3]

Wannier Functions

Final spread
7.491×10^-1
Final variance
5.815×10^-1
Number of iterations
2,312
Number of Wannier functions
25
Spread difference
9.858×10^-8

Compilation

Algorithm
VQE
Detail
Splitting onsite/NN from NNN+ terms
Number of interactions
14,807
Number of nontranslatable terms
1,888
Number of translatable terms
3,511
Number of tiled translatable terms
52,137
Number of tiled nontranslatable terms
11,296

Hamiltonian

Baseline circuit depth
6.185×10^8
Baseline number of bands
15
Baseline number of qubits
810
Coulumb number of cluster sites
11
Coulomb neighbor order
4
Coulomb symmetry checks
true
Hop number of cluster sites
19
Interaction motif neighbor order
1
Number of Coulomb terms
1,348
Number of hopping terms
5,062
Number of Majorana terms
5,444
Number of Wannier tight binding
25
Tau Coulomb terms consistent
2.833×10^-1
Tau hop matrix consistent
2.418×10^-3
Threshold Coulomb terms
1.712×10^0
Threshold hop matrix
0.033646
Tolerance
0.5
Use interaction
1
Energy window
Distance method
MaxDist
Hop matrix neighbor order
8

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