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We studied theoretically the absorption of acoustic phonons in the hypersoundregime in Fluorine modified Carbon Nanotube (F-CNT) $\Gamma_q^{F-CNT}$ andcompared it to that of undoped Single Walled Nanotube (SWNT) $\Gamma_q^{SWNT}$.Per the numerical analysis, the F-CNT showed less absorption to that of SWNTthus $\vert\Gamma_q^{F-CNT}\vert < \vert\Gamma_q^{SWNT}\vert $. This is due tothe fact that Fluorine is highly electronegative and weakens the walls of theSWNT. Thus, the $\pi$-electrons associated with to the Fluorine which causesless free charge carriers to interact with the phonons and hence changing themetallic properties of the SWNT to semiconductor by the doping process. Fromthe graphs obtained, the ratio of hypersound absorption in SWNT to F-CNT at $T= 45K$ is $\frac{\Gamma_{(SWNT)}}{\Gamma_{(F-CNT)}}\approx 29$ whilst at $T =55K$, is $\frac{\Gamma_{(SWNT)}}{\Gamma_{(F-CNT)}}\approx 9$ and at $T = 65K$,is $\frac{\Gamma_{(SWNT)}}{\Gamma_{(F-CNT)}}\approx 2$. Clearly, the ratiodecreases as the temperature increases.

Absorption of acoustic phonons in Fluorinated Carbon Nanotubes with non-parabolic, double periodic band