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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.
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