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

Parameter InN GaN GaxIn1-xN
High-frequency dielectric constant $ε ∞ = 8.4$ $ε ∞ = 5.5$ $ε ∞ = 8.4 − 2.9 x$
Static dielectric constant $ε s = 15.3$ $ε s = 8.9$ $ε s = 15.3 − 6.4 x$
Electron effective mass $m * = 0.11 m 0$ $m * = 0.22 m 0$ $m * = 0.1 + 0.12 x m 0$
LO-phonon energy $73 meV$ $92 meV$ $73 + 11.3 x + 12 x 2 meV$
LA-phonon velocity $v s = 5.17 . 10 3 ms − 1$ $v s = 6.59 . 10 3 ms − 1$ $v s = 5.17 + 1.42 x . 10 3 ms − 1$
Density of crystal $ρ = 6.81 . 10 3 kgm − 3$ $ρ = 6.15 . 10 3 kgm − 3$ $ρ = 6.81 − 0.7 x . 10 3 kgm − 3$
Electron wave vector at Fermi level $k F = 4.61 . 10 8 m − 1$ $k F = 7.3 . 10 8 m − 1$ $k F = 7.3 + 2.69 x . 10 8 m − 1$
The electromechanical coupling coefficient $K 2 = 0.028$ $K 2 = 0.038$ $K 2 = 0.028 + 0.01 x$
Lattice constants $a = 3.533 10 − 10 m$ $c = 5.693 10 − 10 m$ $a = 3.189 . 10 − 10 m$ $c = 5.185 . 10 − 10 m$ $a = 3.533 − 0.344 x . 10 − 10 m$ $c = 5.693 − 0.508 x . 10 − 10 m$
Occupied volume by an atom $Ω 0 = 3 4 a 2 c$ $Ω 0 = 3 4 a 2 c$ $Ω 0 = 3 4 a 2 c$
Deformation potential $Ξ = 7.1 eV$ $Ξ = 8.3 eV$ $Ξ = 7.1 − 1.2 x eV$
Alloy potential $U A = 2.72 x 10 − 19 V$
1. LA-phonon, longitudinal acoustic phonon; LO-phonon, longitudinal optical phonon.