Reply to 'Comment on an improved critical angle equation for channeling'

摘要

Carbon nanotubes have super-lattice structures. As new phenomena, high-energy ion channeling and low-energy ion channeling in carbon nanotubes are very different from those in compact crystals [1-18]. We proposed a generalized critical angle equation (2.5) [9], including Lindhard's classical equation (2.3) [10,11], and an improved equation (2.4) [9], for low-energy ion channeling. Where E is the incident energy and M is the ion mass, we note that (2.3) implies that the E effects dominate over the incident momentum (2ME)~(1/2) effects on channeling critical angles We. whereas (2.4) implies that the (2ME)~(1/2) effects dominate over the E effects on We- Our (2.3) commonly applies to compact crystals [19-22], whereas (2.4) commonly applies to carbon nanotubes. In other words, (2.5) is generally valid, but (2.3) and (2.4) are of limited validity.