Table 2.

Mulliken population analysis for $\text{x}=0.25$, 0.50.

x		U	${\text{Mn}}^{\text{LSMO}}$		${\text{Mn}}_{\text{far}}$		${\text{Mn}}_{\text{NN}}^{\uparrow }$		${\text{Mn}}_{\text{NN}}^{\downarrow }$
		(eV)	Q	M	Q	M	Q	M	Q	M
0.25	FM	0	1.70	3.60	1.70	3.63	0.99	3.64	–	–
		4.5	1.75	3.84	1.73	3.97	1.17	4.16	–	–
	SF	0	–	–	1.70	3.61	1.08	3.87	1.08	− 3.24
		4.5	–	–	1.74	3.84	1.15	4.08	1.18	− 3.62
0.50	FM	0	1.71	3.36	1.69	3.50	1.17	3.79	–	–
		4.5	1.76	3.62	1.76	3.76	1.22	4.01	–	–
	SF	0	–	–	1.71	3.50	1.12	3.73	1.12	− 3.35
		4.5	–	–	1.76	3.75	1.19	3.98	1.21	− 3.70

${\text{Mn}}_{\text{NN}}$ are the nearest neighbors to the oxygen vacancy and ${\text{Mn}}_{\text{far}}$ refers to a Mn atom far away from the defect. ${\text{Mn}}^{\text{LSMO}}$ stands for a reference Mn atom of the pristine system. Q (e) represents the valence charge and M (${\mu }_{\text{B}}$), the spin.