Table 1.

Surface formation energy (mJ/m²). Areal density denotes the normalized atomic areal density ρ/ρ _{0001}.

$\{\overline{\mathbf{1}}\mathbf{01}\mathbf{n}\}$
n	(0001)	4	3	2	1.5	1	0.5	0
Areal density	1.00	0.452	0.566	0.730	0.833	0.941	1.031	1.067
DFT	548.3					589.3		596.9
Liu-Mg	499.0	569.5	569.7	549.6	534.0	499.7	523.8	515.5
Sun-Mg	238.0	335.9	319.8	324.8	297.0	252.2	264.9	263.1
$\{\overline{\mathbf{1}}\overline{\mathbf{1}}\mathbf{2}\mathbf{n}\}$
n	5	4	3	2	1.5	1	0.5	0
Areal density	0.335	0.388	0.452	0.454	0.580	0.587	0.608	0.616
DFT								663.9
Liu-Mg	599.2	591.8	592.4	565.5	580.4	585.5	575.4	551.2
Sun-Mg	391.1	386.5	379.1	342.5	358.6	361.6	360.4	343.1