a. **Crucible dimensioning**

In order to make the crucible, graphite material is chosen due to its high temperatures characteristic until 2000°C and the relative high thermal conductivity. For accomplishing the calculation, aluminum is chosen as the test material due to its density up to 1 kg more volume than other materials that will be processed.

The volume of the crucible is calculated using the relation:

$$v = \frac{m}{\rho'} = \frac{\pi \cdot d^2}{4} \cdot h \tag{9}$$

where ρ<sup>0</sup> is the material density at the ambient temperature of 20°C, for example, aluminum has *ρ*<sup>0</sup> *met*\_*topit* <sup>¼</sup> <sup>2</sup>*:*72 kg/dm<sup>3</sup> .
