메뉴 건너뛰기




Volumn 53, Issue 15, 1996, Pages 10225-10236

Collective excitations of multishell carbon microstructures: Multishell fullerenes and coaxial nanotubes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000497077     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.10225     Document Type: Article
Times cited : (130)

References (54)
  • 12
  • 41
    • 33646613333 scopus 로고
    • M.F. Lin and W.-K. Shung, Phys. Rev. B 47, 6617 (1993).
    • (1993) Phys. Rev. B , vol.47 , pp. 6617
    • Lin, M.1
  • 46
    • 36149020165 scopus 로고
    • Following Taft and Philipp [E.A. Taft and H.R. Philipp, Phys. Rev. 138, A197 (1965)], in the region of the π plasmon, we approximate the dielectric function of the planar graphite by a Drude π component plus a contribution from the σ electrons, i.e., (Formula presented)(ω)=1-(Formula presented)/(Formula presented)+δ(Formula presented)(ω), where (Formula presented)=[4π(Formula presented)(Formula presented)/ ((Formula presented)d)(Formula presented) is the unscreened frequency of the π plasmon (ℏ(Formula presented)=12.4 eV). The actual screened frequency (Formula presented) is obtained by setting (Formula presented)(ω)=0, which yields (Formula presented)=(Formula presented)/(Formula presented), thus defining an effective dielectric constant for the π plasmon, i.e., (Formula presented)=1+δ(Formula presented)((Formula presented))=((Formula presented)/(Formula presented)(Formula presented). Using the experimental value ℏ(Formula presented)=6.2 eV for bulk oriented graphite (Ref. 37), we find (Formula presented)=4, since ℏ(Formula presented)=12.4 eV ((Formula presented)=0.(Formula presented) and d=6.(Formula presented)). Working in the same spirit for the case of σ plasmons, we find (Formula presented)=0.8, since ℏ(Formula presented)=21.53 eV ((Formula presented)=0.(Formula presented)) and the experimental value (Refs. 28 and 37) for the bulk oriented graphite is 24.1 eV. This smaller than unity value naturally means that the contribution δ(Formula presented)((Formula presented)) is negative, as can been seen from the work of Taft and Philipp who resolved the total dielectric function into π and σ components. We remark, however, that the experimental values used in the present work are based on more recent measurements for oriented graphite (Refs. 28 and 37), and thus do not coincide with those of Taft and Philipp.
    • (1965) Phys. Rev. , vol.138 , pp. A197
    • Taft, E.1    Philipp, H.2
  • 48
    • 2842552481 scopus 로고
    • For N>2, these last two steps are facilitated through the use of an algebraic computer language, like REDUCE or MACSYMA [e.g., see C. Yannouleas and J.M. Pacheco, Comput. Phys. Commun. 52, 85 (1988).
    • (1988) Comput. Phys. Commun. , vol.52 , pp. 85
    • Yannouleas, C.1    Pacheco, J.2
  • 51
    • 4244023861 scopus 로고
    • For the case of a solid cylindrical wire, see R.A. Ferrell, Phys. Rev. Lett. 13, 330 (1964).
    • (1964) Phys. Rev. Lett. , vol.13 , pp. 330
    • Ferrell, R.1
  • 52
    • 0006772408 scopus 로고
    • For the case of a hollow cylindrical wire, see E.N. Bogachek and G.A. Gogadze, Zh. Éksp. Teor. Fiz. 67, 621 (1974) [Sov. Phys. JETP 40, 306 (1975)].
    • (1974) Zh. Éksp. Teor. Fiz. , vol.67 , pp. 621
    • Bogachek, E.1    Gogadze, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.