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Films of Bi$\rm _2$Sr$\rm _2$CaCu$\rm _2$O$\rm _8$ and Bi$\rm _2$Sr$\rm_2$CuO$\rm _6$ have been grown using Atomic-Layer-by-Layer Molecular BeamEpitaxy (ALL-MBE) on lattice-matched substrates. These materials have beencombined with layers of closely-related metastable compounds like Bi$\rm_2$Sr$\rm _2$Ca$\rm _7$Cu$\rm _8$O$\rm _{20}$ (2278) and rare-earth-dopedcompounds like Bi$\rm _2$Sr$\rm _2$Dy$\rm _x$Ca$\rm _{1-x}$Cu$\rm _2$O$\rm _8$(Dy:2212) to form heterostructures with unique superconducting properties,including superconductor/insulator multilayers and tunnel junctions.Transmission electron microscopy (TEM) has been used to study the morphologyand microstructure of these heterostructures. These TEM studies shed light onthe physical properties of the films, and give insight into the growth mode ofhighly anisotropic solids like Bi$\rm _2$Sr$\rm _2$CaCu$\rm _2$O$\rm _8$.Comment: 17 pages, submitted to J. Materials Research. Email to  chaiken@llnl.gov if you want to receive copies of the figure

Transmission electron study of heteroepitaxial growth in the BiSrCaCuO system