4.2.2 Mass Density

The reported value ranges of the mass densities of the three materials are summarized in Table 4.3. For GaN, AlN, and InN values of 6.15 g/cm$^3$, 3.23 g/cm$^3$, and 6.81 g/cm$^3$, respectively, are adopted. For the alloys a linear interpolation between the basic material values is used:

$$\rho_\ensuremath{\mathrm{L}}^\ensuremath{\mathrm{ABC}}=(1-x)\rho_... ...ensuremath{\mathrm{AC}}+x\rho_\ensuremath{\mathrm{L}}^\ensuremath{\mathrm{BC}}.$$ (4.65)

Table 4.3: Model parameters for the mass density [g/cm$^3$].

Material	Range	Used	References
GaN	6.085$-$6.15	6.15	[289,290]
AlN	3.23$-$3.26	3.23	[176,291]
InN	6.81	6.81	[176]