Calculated E, r and D parameters for the bulk and (001) surface structures of Li₂MnSiO₄.

Pathway		a (Å)	E b (eV)	r (s−1)	D (cm2 s−1)
Bulk	AB	3.13	0.73	4.50 × 10−7	4.40 × 10−15
	BC	3.13	0.84	6.0 × 10−9	6.10 × 10−17
	AE	3.19	0.74	3.50 × 10−7	3.10 × 10−15
	EF	3.18	0.88	1.00 × 10−9	1.30 × 10−17
	AG	3.13	0.73	4.51 × 10−7	4.40 × 10−15
	GH	4.41	1.88	1.60 × 10−19	3.10 × 10−34
(001) surface	AB (XY)	4.44	0.06	1.09 × 1012	2.14 × 10−3
	BC (X)	3.14	0.25	5.90 × 108	5.83 × 10−7
	BD (Y)	2.94	0.39	2.09 × 106	1.81 × 10−9
	AE (Z)	2.99	0.22	1.90 × 109	1.71 × 10−6