Table 2 Example of atomic parametric constraints.

From: Parametrically constrained geometry relaxations for high-throughput materials science

 

Cubic

Tetragonal

Atom

\({L}_{1}\)

\({L}_{2}\)

\({L}_{3}\)

\({L}_{1}\)

\({L}_{2}\)

\({L}_{3}\)

Zr

0.00

0.00

0.00

0.00

0.00

0.00

Zr

0.50

0.50

0.00

0.50

0.50

0.00

Zr

0.00

0.50

0.50

0.00

0.50

0.50

Zr

0.50

0.00

0.50

0.50

0.00

0.50

O

0.25

0.25

0.25

0.25

0.25

0.25 − z\({}_{2}\)

O

0.25

0.75

0.25

0.25

0.75

0.25 − z\({}_{2}\)

O

0.75

0.75

0.75

0.75

0.75

0.75 + z\({}_{2}\)

O

0.25

0.25

0.75

0.25

0.25

0.75 + z\({}_{2}\)

O

0.75

0.25

0.25

0.75

0.25

0.25 − z\({}_{2}\)

O

0.25

0.75

0.75

0.25

0.75

0.75 − z\({}_{2}\)

O

0.75

0.75

0.75

0.75

0.75

0.75 + z\({}_{2}\)

O

0.25

0.25

0.25

0.25

0.25

0.25 + z\({}_{2}\)

  1. Parametric expressions for each component of the atomic positions in the twelve atom cubic and tetragonal ZrO\({}_{2}\) supercell