Table 1 The material parameters used in scattering calculations (adopted from [[10],[13–15]])

High-frequency dielectric constant

${\epsilon }_{\infty }=8.4$

${\epsilon }_{\infty }=5.5$

${\epsilon }_{\infty }=8.4-2.9x$

Static dielectric constant

${\epsilon }_{\mathrm{s}}=15.3$

${\epsilon }_{\mathrm{s}}=8.9$

${\epsilon }_{\mathrm{s}}=15.3-6.4x$

Electron effective mass

$m^{*}=0.11m_0$

$m^{*}=0.22m_0$

$m^{*}=\left(0.1+0.12x\right)m_0$

LO-phonon energy

$73\text{meV}$

$92\text{meV}$

$\left(73+11.3x+12x^2\right)\text{meV}$

LA-phonon velocity

$v_{\mathrm{s}}=5.17{.10}^3{\text{ms}}^{-1}$

$v_s=6.59{.10}^3{\text{ms}}^{-1}$

$v_s=\left(5.17+1.42x\right){.10}^3{\text{ms}}^{-1}$

Density of crystal

$\rho =6.81{.10}^3{\text{kgm}}^{-3}$

$\rho =6.15{.10}^3{\text{kgm}}^{-3}$

$\rho =\left(6.81-0.7x\right){.10}^3{\text{kgm}}^{-3}$

Electron wave vector at Fermi level

$k_{\mathrm{F}}=4.61{.10}^8{\mathrm{m}}^{-1}$

$k_{\mathrm{F}}=7.3{.10}^8{\mathrm{m}}^{-1}$

$k_F=\left(7.3+2.69x\right).{10}^8{\mathrm{m}}^{-1}$

The electromechanical coupling coefficient

$K^2=0.028$

$K^2=0.038$

$K^2=\left(0.028+0.01x\right)$

Lattice constants

$a=3.533{10}^{-10}\mathrm{m}$ $c=5.693{10}^{-10}\mathrm{m}$

$a=3.189.{10}^{-10}\mathrm{m}$ $c=5.185.{10}^{-10}\mathrm{m}$

$a=\left(3.533-0.344x\right).{10}^{-10}\mathrm{m}$ $c=\left(5.693-0.508x\right).{10}^{-10}\mathrm{m}$

Occupied volume by an atom

${\Omega }_0=\left(\raisebox{1ex}{$\sqrt{3}$}\!\left/ \!\raisebox{-1ex}{$4$}\right.\right)a^{2}c$

${\Omega }_0=\left(\raisebox{1ex}{$\sqrt{3}$}\!\left/ \!\raisebox{-1ex}{$4$}\right.\right)a^{2}c$

${\Omega }_0=\left(\raisebox{1ex}{$\sqrt{3}$}\!\left/ \!\raisebox{-1ex}{$4$}\right.\right)a^{2}c$

Deformation potential

$\Xi =7.1\text{eV}$

$\Xi =8.3\text{eV}$

$\Xi =\left(7.1-1.2x\right)\text{eV}$

Alloy potential

₋

₋

$U_{\mathrm{A}}=2.72x{10}^{-19}\mathrm{V}$