Samples are from I-Shou university Department of Materials Science and Engineering, Dr. Huy-Zu Cheng¡¦s laboratory, First, using sol-gel method to produce silicon dioxide (SiO2) with iron catalysts, and with chemical vapor deposition (CVD) to produce carbon nanotubes. To operate these instruments, for example X-Ray diffractometry (XRD), scanning electron microscopy (SEM), and transmission electron microscopy (TEM) to analyze. The research point is judging the crystallographic orientation relationships between carbon nanotube and catalysts. Using transmission electron microscopy (TEM) to do diffraction patterns with carbon nanotubes and catalysts. From diffraction patterns results, we can decide what catalysts is? And it¡¦s crystallographic relationship. After affirming from diffraction patterns, there are three chemical compositions in the carbon nanotubes, including Fe3C¡B