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Summary form only given. We report our experimental and theoretical studies on the ultra-small SWNTs fabricated in the Inm channels of AFI zeolite single crystals. In 1993, lijima's group as well as Bethune's group found that the use of transition-metal catalysts could lead to nanotubes with only a single wall. The diameter of each freestanding SWNT ranges from 0.7 nm to a few tens nanometers with a length of about 1 jtm.