What is claimed is:
1. A cathode configured for a solid-state battery, comprising:
a body comprising grains of inorganic material sintered to one another, wherein the grains comprise lithium manganese oxide, lithium cobalt oxide, lithium iron phosphate, or combinations thereof,
wherein a thickness of the body, between a first major surface and a second major surface thereof, is in a range from 3 μm to 100 μm,
wherein the first major surface and the second major surface have an unpolished granular profile such that the profile includes grains protruding outward from the respective major surface with a height of at least 25 nm and no more than 150 vim relative to recessed portions of the respective major surface at boundaries between the respective grains.
2. The cathode of claim 1 , wherein the body has less than 15% porosity by volume.
3. The cathode of claim 1 , wherein the body has less than 10% porosity by volume.
4. The cathode of claim 1 , wherein the body has a length of at least 1 m.
5. The cathode of claim 1 , wherein the body has a length of at least 10 m.
6. The cathode of claim 1 , wherein the thickness is in a range from 3 μm to 50 μm.
7. The cathode of claim 1 , wherein the body has an ionic conductivity greater than 5×10 −5 S/cm.
8. The cathode of claim 1 , wherein the body has an ionic conductivity greater than 1×10 −4 S/cm.
9. The cathode of claim 1 , wherein the grains comprise LiCoO 2 , LiFePO 4 , or combinations thereof.
10. The cathode of claim 1 , wherein the grains comprise lithium manganate spinel.
11. The cathode of claim 1 , wherein the height is at least 150 nm.
12. The cathode of claim 1 , wherein the height is no more than 80 vim.
13. The cathode of claim 1 , wherein the body has a width of 5 mm or more.
14. The cathode of claim 1 , wherein the grains have an average grain size of 5 μm or less.
15. The cathode of claim 1 , wherein fewer than 10 pin holes of a cross-sectional area of at least a square micrometer pass through the body, per square millimeter of surface on average.
16. A roll of the cathode of claim 1 wound on a spool.
17. A solid state lithium battery comprising:
the cathode of claim 1 ;
an anode; and
an electrolyte positioned between the cathode and the anode.
18. The solid state lithium battery of claim 17 , wherein the electrolyte comprises lithium garnet.