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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.