Table 1 Bulk-terminated atomic positions and optimised displacements (Δ) and occupancy of the surface (four atomic layers) at different conditions.

From: Understanding surface structure and chemistry of single crystal lanthanum aluminate

Atomic Layer (AL)

 

bulk-terminated

optimised

condition

x

y

z

Δz(Å)

occupancy

1

Al(1)

0

0

2

0.10 (6)

0.121 (6)

RT, 10−10 Torr

0.26 (3)

0.245 (10)

600 °C, 10−10 Torr

0.31 (2)

0.325 (9)

600 °C, 10−6 Torr

0.09 (6)

0.174 (9)

RT, 10−6 Torr

O(1a)

0.5

0

2

−0.14 (11)

0.121 (6)

RT, 10−10 Torr

−0.19 (6)

0.245 (10)

600 °C, 10−10 Torr

−0.35 (5)

0.325 (9)

600 °C, 10−6 Torr

0.45 (9)

0.174 (9)

RT, 10−6 Torr

O(1b)

0

0.5

2

0.05 (9)

0.121 (6)

RT, 10−10 Torr

0.20 (6)

0.245 (10)

600 °C, 10−10 Torr

0.15 (5)

0.325 (9)

600 °C, 10−6 Torr

−0.09 (11)

0.174 (9)

RT, 10−6 Torr

2

La(2)

0.5

0.5

1.5

−0.090 (5)

0.321 (2)

RT, 10−10 Torr

−0.032 (5)

0.306 (2)

600 °C, 10−10 Torr

−0.027 (5)

0.3120 (17)

600 °C, 10−6 Torr

−0.073 (6)

0.310 (3)

RT, 10−6 Torr

O(2)

0

0

1.5

−0.03 (5)

0.321 (2)

RT, 10−10 Torr

0.19 (5)

0.306 (2)

600 °C, 10−10 Torr

0.30 (5)

0.3120 (17)

600 °C, 10−6 Torr

0.33 (8)

0.310 (3)

RT, 10−6 Torr

3

Al(3)

0

0

1

0.136 (10)

1

RT, 10−10 Torr

0.184 (8)

1

600 °C, 10−10 Torr

0.193 (8)

1

600 °C, 10−6 Torr

0.268 (12)

1

RT, 10−6 Torr

O(3a)

0.5

0

1

0.061 (16)

1

RT, 10−10 Torr

−0.058 (16)

1

600 °C, 10−10 Torr

−0.094 (14)

1

600 °C, 10−6 Torr

−0.05 (2)

1

RT, 10−6 Torr

O(3b)

0

0.5

1

−0.195 (16)

1

RT, 10−10 Torr

−0.115 (16)

1

600 °C, 10−10 Torr

−0.093 (14)

1

600 °C, 10−6 Torr

−0.25 (3)

1

RT, 10−6 Torr

4

La(4)

0.5

0.5

0.5

−0.019 (2)

1

RT, 10−10 Torr

−0.014 (3)

1

600 °C, 10−10 Torr

−0.022 (3)

1

600 °C, 10−6 Torr

−0.006 (4)

1

RT, 10−6 Torr

O(4)

0

0

0.5

0.445 (16)

1

RT, 10−10 Torr

0.322 (16)

1

600 °C, 10−10 Torr

0.308 (16)

1

600 °C, 10−6 Torr

0.36 (2)

1

RT, 10−6 Torr

  1. The occupancy was constrained to have an identical value for Al(1)O(1a)O(1b) and La(2)O(2). Bulk unit cell adopted Al (0, 0, 0), La (0.5, 0.5, −0.5) and O((0.5, 0, 0), (0, 0.5, 0), (0, 0, −0.5)).