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Page 6 of 33                          Mao et al. Chem Synth 2023;3:26  https://dx.doi.org/10.20517/cs.2022.41










               Where R is the aspect ratio of the rod. In turn, according to the Drude theory, ε(ω) could be expressed as:










               Where γ is the collision frequency (similar/to the high line wide). And   the bulk plasma frequency can be
                                                                            p
               defined as below:










               Where N is the free carrier density. m  is the mass of the electron. ε  is the permittivity of the free space.
                                                e
                                                                          0
               Thus the collision frequency can be expressed as:









                                                                                                       3
               Where m  is the mass of the hole. e is the elementary charge. σ is the conductivity of NCs (Cu S: 2.4 × 10  Ω -
                       h
                                                                                             1.8
               1 ·cm ). Then the real part ε  and imaginary part ε  of the dielectric constant for copper chalcogenides nano-
                   -1
                                      1
                                                         2
               disks or rods could be calculated as:











               In short, the precise calculation for the doped copper chalcogenides with an anisotropy shape is still
               challenging, leaving a large space for further investigation.
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