and the like in practice both the ceramic matrix and the metallic dispersant are deposited in one or more layers upon the part to be coated preferably the ceramic matrix and the metallic dispersant are deposited through a process of electron beam physical vapor deposition eb pvd it is contemplated that various methods may be employed to achieve the deposition of the ceramic matrix and the metallic dispersant in desired proportions in one embodiment particulate ceramic and a solid piece of metallic dispersant may be utilized in another embodiment preformed ingots of the ceramic matrix and the metallic dispersant may be utilized as the source of the coating vapor in yet another embodiment a single ingot composed of both the ceramic matrix and metallic dispersant mixed in a predetermined ratio may be vaporized and applied to coat a part forming a coating consisting of a similarly predetermined ratio of ceramic matrix material to metallic dispersant material the resulting deposited tbc may comprise one or more layers of a ceramic matrix oxide and a refractory metal oxide dispersed therein each individual layer may contain a different percentage mixture of ceramic matrix oxide and refractory metal oxide resulting in a predetermined post heating.