b. where B, B′, and B″ stand for an octahedral position of the crystal structure, i. where B stands for one or more of Zr, Hf, and Sn, ii. where B′ stands for one or more of Ta, Nb, Sb, and Bi, iii. where B″ stands for one or more of Te, W, and Mo, and iv. wherein 0≤b′, 0≤b″, and b′+b″≤2;

c. where C′ and C″ stand for a tetrahedral position of the crystal structure, i. where C′ stands for one or more of Al and Ga, ii. where C″ stands for one or more of Si and Ge, and iii. wherein 0≤c′≤0.5 and 0≤c″≤0.4; and

d. wherein n=7+a′+2·a″?b′?2·b″?3·c′?4·c″ and 4.5≤n≤7.5.

The garnet-like structure oxide material of the above-described ionic conductive membrane enables the following technical effects:

The garnet-like structure oxide material has high lithium ionic conductivity. In an aspect, the garnet-like structure oxide material has high lithium ionic conductivity at room temperature and/or reasonable elevated temperature.

The garnet-like structure oxide material is stable with respect to a lithium-rich electrolyte on both sides of the membrane.

The garnet-like structure oxide material is stable in at least some acidic or basic conditions.

The above-described ionic conductive membrane according to any combination of one of more aspects of the first embodiment of the present description is not limited by structural design of the membrane.

In an aspect, the membrane includes a macro porous support scaffold and the garnet-like structure oxide material is disposed on the macro porous support scaffold.