Elliptic double cone

Equation [8] is the equation of an elliptic double cone (i.e., with different axes) with vertex at the origin (it will be a circular cone only for the case k = /). Thus, such crossing points are called conical intersections. Indeed, if we plot the energies of the two intersecting states against the two internal coordinates xx and x2 [whose values at the origin satisfy the two conditions and H1 j = H22 and H12 (= H21) = 0], we obtain a typical double-cone shape (see Figure 5). 

To complete the proof that (31) and (32) constitute an elliptical double cone, let us show that their intersections with % = constant horizontal planes in Qx, Q2, % space are ellipses. Those equations can be put in the form... 

LS were produced by means of different impellers, namely, (a) a 3-blade rotor with a diameter of 55 mm (taken as reference impeller), (b) a 4-blade helicoidal rotor with a diameter of 50 mm, (c) a double-truncated cone rotor with a diameter of 50 mm, and (d) a 2-blade rotor with a diameter of 50 mm (Figure 2.5, lower panel). The use of rotors (b) and (c) allowed us to obtain smaller particles, with mean diameters of 50 and 55 pm, and a recovery of 64% and 77%, respectively (Table 2.7). However, the use of rotor (d) did not allow the production of lipid particles in fact, this particular impeller caused the formation of elliptical particles and filaments. 

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