Nanocrystalline nanowires: 2. Phonons.
basic_science · Level V
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- Record sourced from PubMed, PMID 17212432.
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Abstract
Nanocrystalline nanowires (NCNW) are fragments of bulk crystals that are infinite in only one direction. A construction is given for calculating eigenstates belonging to the symmetry labels (k,m) (wavevector and rotational quantum number). Vibrational harmonic eigenstates are worked out explicitly for a simple model, illustrating the general results: the LA mode has m=0, while with sufficient rotational symmetry, the TA branch is doubly degenerate, has m=+/-1, and has quadratic dispersion with k for k less than the reciprocal diameter of the NCNW. The twiston branch (a fourth Goldstone boson) is an acoustic m=0 branch, additional to the LA and two TA branches.
Medical subject headings
- Nanowires