In an electrolyte sheet for a solid oxide fuel cell according to the present invention, the number of flaws on at least one of surfaces of the sheet detected by a fluorescent penetrant inspection is 30 points or less in each of sections obtained by dividing the sheet into the sections each measuring 30 mm or less on a side. A unit cell for a solid oxide fuel cell according to the present invention comprises a fuel electrode, an air electrode, and the electrolyte sheet for a solid oxide fuel cell according to the present invention, which is disposed between the fuel electrode and the air electrode. A solid oxide fuel cell of the present invention includes the unit cell for a solid oxide fuel cell according to the present invention.

Set forth herein are pellets, thin films, and monoliths of lithium-stuffed garnet electrolytes having engineered surfaces. These engineered surfaces have a list of advantageous properties including, but not limited to, low surface area resistance, high Li.sup.+ ion conductivity, low tendency for lithium dendrites to form within or thereupon when the electrolytes are used in an electrochemical cell. Other advantages include voltage stability and long cycle life when used in electrochemical cells as a separator or a membrane between the positive and negative electrodes. Also set forth herein are methods of making these electrolytes including, but not limited to, methods of annealing these electrolytes under controlled atmosphere conditions. Set forth herein, additionally, are methods of using these electrolytes in electrochemical cells and devices. The instant disclosure further includes electrochemical cells which incorporate the lithium-stuffed garnet electrolytes set forth herein.

In example implementations, a method for extracting layers of build material into a carrier. The method includes providing a layer of build material onto a bed. Portions of the layer of build material on the bed are digitally printed with a liquid functional material (LFM). The method repeats providing the layer of build material and digitally printing without applying energy to the LFM to define a structure in layers of build material on the bed. The layers of build material are extracted into a carrier and the carrier is removed.

A capacitor body includes a plurality of dielectric layers and a plurality of internal electrode layers stacked alternately. The plurality of dielectric layers include crystal grains of barium titanate, a rare earth element, and silicon. The crystal grains include a first crystal grain and a second crystal grain. The crystal grains each include a surface layer as a shell and an interior portion surrounded by the shell as a core. The first crystal grain has a higher concentration distribution of the rare earth element in the shell than in the core. The second crystal grain has distribution in which a ratio of a concentration of the silicon in the core and the shell is lower than a ratio of a concentration of the rare earth element in the core and the shell in the first crystal grain.

The bonded ceramic assembly of the present disclosure includes a first substrate made of ceramic, a second substrate made of ceramic, and a bonding layer positioned between the first substrate and the second substrate. The bonding layer contains aluminum, at least one of calcium and magnesium, a rare earth element, silicon, and oxygen. Out of a total 100 mass % of all of the components making up the bonding layer, the bonding layer contains from 33 mass % to 65 mass % aluminum in terms of oxide, a total of from 27 mass % to 60 mass % calcium and magnesium in terms of oxide, and from 2 mass % to 12 mass % rare earth element in terms of oxide. The silicon content, in terms of oxide, of the surface of the bonding layer is greater than the silicon content, in terms of oxide, of the interior of the bonding layer.

A functionally graded firing setter that includes a substrate layer of cubic oxide; a top layer of unstabilized zirconium dioxide/hafnium dioxide; and a continuous transitional gradient layer disposed between the substrate layer and the top layer. The continuous transitional gradient layer includes cubic oxide stabilized zirconium dioxide/hafnium dioxide. The cubic oxide can be calcium oxide (CaO) or magnesium oxide (MgO).

Disclosed is a method for manufacturing a ceramic susceptor, the method including: preparing ceramic sheets; preparing a lamination structure of a molded body, in which the ceramic sheets are laminated and a conductive metal layer for electrodes is disposed between the ceramic sheet laminated products; and sintering the lamination structure of the molded body, wherein the preparing of the ceramic sheets includes: obtaining a vitrified first additive powder by heat-treating a slurry containing MgO, SiO.sub.2, and CaO; preparing a slurry by mixing an Al.sub.2O.sub.3 powder with the first additive powder, a second additive powder containing a MgO powder, and a third additive powder containing a Y.sub.2O.sub.3 powder; and forming the ceramic sheets by tape casting the slurry.

A dielectric composition and a multilayer capacitor including the same are disclosed. The dielectric composition including: a BaTiO.sub.3-based main ingredient; a first auxiliary ingredient including rare earth elements; and a second auxiliary ingredient including at least one of Ba and Ca but essentially including Ba, wherein the rare earth elements include Tb and Dy, and the first auxiliary ingredient and the second auxiliary ingredient satisfy a molar content condition of 0.40<(Tb/T_RE)*(Ba+Ca)<0.93, where T_RE is a total molar content of the rare earth elements in the first auxiliary ingredient.

In an embodiment a conversion element includes a first phase and a second phase, wherein the first phase comprises lutetium, aluminum, oxygen and a rare-earth element, wherein the second phase comprises Al.sub.2O.sub.3 single crystals, and wherein the conversion element comprises at least one groove.

A dielectric body includes a plurality of crystal grains of which a main component is barium titanate, and an additive including Zr, Eu and Mn. At least one of the plurality of crystal grains has a core-shell structure having a core and a shell. A Zr/Ti atomic concentration ratio is 0.02 or more and 0.10 or less. An Eu/Ti atomic concentration ratio is 0.001 or more and 0.03 or less. A Mn/Ti atomic concentration ratio is 0.005 or more and 0.05 or less. A total atomic concentration of the one or more rare elements is smaller than an atomic concentration of Eu when the dielectric body has the one or more rare earth elements. A median diameter of the plurality of crystal grains is 200 nm or more and 400 nm or less.