A lanthanum molybdenum composite oxide is provided. The lanthanum molybdenum composite oxide has a primary crystal phase formed of La.sub.2Mo.sub.2O.sub.9. The lanthanum molybdenum composite oxide also has a secondary crystal phase formed of a lanthanum molybdenum composite oxide species other than La.sub.2Mo.sub.2O.sub.9. The secondary crystal phase may contain at least one species selected from a group consisting of La.sub.2Mo.sub.3O.sub.12, La.sub.6MoO.sub.12, La.sub.7Mo.sub.7O.sub.30, La.sub.2Mo.sub.4O.sub.15, La.sub.2MoO.sub.6, La.sub.4MoO.sub.9, and LaMo.sub.2O.sub.5.

Provided are a positive active material for a lithium secondary battery, a method of preparing the positive active material, a positive electrode for a lithium secondary battery including the positive active material, and a lithium secondary battery including a positive electrode including the positive active material, in which the positive active material may include a nickel-based lithium metal oxide secondary particle including a plurality of large primary particles, the nickel-based lithium metal oxide secondary particle may have a hollow structure having a pore inside, a size of each of the large primary particles may be in a range of about 2 micrometers (μm) to about 6 μm, and a size of the nickel-based lithium metal oxide secondary particle may be in a range of about 10 μm to about 18 μm.

A lithium-ion conducting composite material includes a Li binary salt, a Li-ion conductor with a chemical composition of Li.sub.2−3x+y−zFe.sub.xO.sub.y(OH).sub.1−yCl.sub.1−z, and at least two of: a first inorganic compound with a chemical composition of (Fe.sub.1−xM1.sub.x)O.sub.1−y(OH).sub.yCl.sub.1−x; a second inorganic compound with a chemical composition of M2OX; and a defected doped inorganic compound with a chemical composition of (M3OX)′. The value of n is 1 or 2, x is greater than 0 and less than or equal to 0.25, and y is greater than or equal to 0 and less than or equal to 0.25. Also, M1 is at least one of Mg and Ca, M2 and M3 are each at least one of Fe, Al, Sc, La, and Y, and X is at least one of F, Cl, Br, and I.

The present invention relates to a lubricant containing molybdenum sulfide particles, and the molybdenum sulfide particles contain molybdenum disulfide having a 3R crystal structure. The present invention relates to a lubricating composition containing molybdenum sulfide particles, which are the lubricant, and a base oil which is a mineral oil, a synthetic oil, or a partially synthetic oil.

A positive electrode active material includes a lithium-transition metal composite phosphate including a first crystalline phase having a composition represented by Formula 1 and having an olivine structure, and a second crystalline phase having a composition represented by Formula 2 and having a pyrophosphate-containing structure, wherein the second crystalline phase is in an amount of greater than 0 mole percent and not greater than 50 mole percent with respect to a total number of moles of the first crystalline phase and the second crystalline phase, a positive electrode, a secondary battery:

Li.sub.xM1.sub.yPO.sub.4   Formula 1

Li.sub.aM2.sub.b(P.sub.2O.sub.7).sub.4   Formula 2 In Formulas 1 and 2, 0.9≤x≤1.1, 0.9≤y≤1.1, 5.5≤a≤6.5, and 4.8≤b≤5.2, and M1 and M2 are each independently an element from Groups 3 to 11 in the 4th period of the Periodic Table of the Elements, or a combination thereof.

A positive electrode active material for lithium secondary batteries includes a lithium composite metal compound containing secondary particles that are aggregates of primary particles which are capable of being doped or dedoped with lithium ions and satisfies all of specific requirements (1) to (4).

A light emitting diode (LED) assembly includes an LED light source having a first light output with a characteristic spectrum and at least one phosphor through which the first light output passes. The phosphor includes the quaternary compound M-Li—Al—O, where M is Ba, Sr, or Ca, activated by Eu.sup.2+ or Ce.sup.3+.

Provided is a catalyst for manufacturing multi-wall carbon nanotubes, the catalyst including metal components according to <Equation> Ma:Mb=x:y, and having a hollow structure with a thickness of 0.5-10 μm. In the above equation, Ma represents at least two metals selected from Fe, Ni, Co, Mn, Cr, Mo, V, W, Sn, and Cu; Mb represents at least one metal selected from Mg, Al, Si, and Zr; x and y each represent the molar ratio of Ma and Mb; and x+y=10, 2.0≤x≤7.5, and 2.5≤y≤8.0.

A film-forming material of the present invention contains an oxyfluoride of yttrium represented by YOF.sub.Y (X and Y are numbers satisfying 0<X and X<Y) and YF.sub.3, wherein a ratio I.sub.2/I.sub.1 of a peak height I.sub.2 of the (020) plane of YF.sub.3 to a peak height I.sub.1 of the main peak of YO.sub.XF.sub.Y as analyzed by XRD is from 0.005 to 100. It is preferable that a ratio I.sub.4/I.sub.1 of a peak height I.sub.4 of the main peak of Y.sub.2O.sub.3 to the peak height I.sub.1 of the main peak of YO.sub.XF.sub.Y as analyzed by XRD is 0.01 or less.

The present disclosure provides a cobalt-free cathode material of a lithium ion battery, a method for preparing the cobalt-free cathode material, and the lithium ion battery. A general formula of the cobalt-free cathode material is Li.sub.xNi.sub.aMn.sub.bR.sub.cO.sub.2, wherein, 1≤x≤1.15, 0.5≤a≤0.95, 0.02≤b≤0.48, 0<c≤0.05, and R is aluminum or tungsten. Therefore, as the cobalt-free cathode material is free of metal cobalt, the cost of the cathode material can be lowered effectively. Aluminum or tungsten in the cobalt-free cathode material can stabilize a crystal structure of the cathode material better, such that the lithium ion battery has excellent rate capability and cycle performance, and furthermore, good cycling stability of the lithium ion battery can be still maintained under a high-temperature and high-pressure testing condition.