Figure 3.

Different views of a GSE according to the present model. Case #4. (3.23)Geometrical parameters are: $N_P=7$, $t=9.0$ nm, $r=0.55$, ${\gamma }_P={57}^{\circ }$, ${\beta }_P={\alpha }_P=52.5^{\circ }$, $\mathrm{\nu }=0$, $\varphi =0.28$, $R_b=R_m=R_t=1.1$ nm, $L_b=L_t=200$ nm, $d_b=d_t=12.4$ nm, $d_m=74.5$ nm, ${\beta }_b={\beta }_m={\beta }_t=52.5^{\circ }$. The number of layers in both bottom and top truncated cones are 18, and the volume fraction is $c_V=0.63$. The overall molecular weight of the GSE is $M_{\mathit{bl}}=2.0$ GDa. (A) The first view on the left, shows the inner cavity: platelets are not rotated by ${\mathrm{\theta }}_F$ but only stacked for clarity. The other three pictures from left to right have been drawn by rotating the GSE along the $x$ axis by 0°, 45° and 90°, respectively. The platelets of each of the seven spirals are represented with the same colour: red, orange, yellow, green, cyan, blue and violet. (B) GSEs obtained with the same parameters of panel A but with the specular images of the parallelepiped. (C) SAXS and WAXS (highlighted in the inset) isotropic differential scattering cross-section of a GSE with direct and specular platelets, corresponding to panels A and B, respectively. (D) Two-dimensional SAXS maps of the GSEs represented in panel A or B. The X-ray beam is assumed to be along the $z$ axis. The $\mathit{xy}$. and $\mathit{xz}$ views refer to the GSE with its long axis parallel or perpendicular to the X-ray or neutron beam. The first four maps refer to the GSE fixed in the space. The last four maps refer to GSEs arranged according to a nematic order, with order parameter $S=0.8$, assuming that the director of the nematic phase is parallel or perpendicular to the X-ray or neutron beam ($\mathit{xy}$ nematic and $\mathit{xz}$ nematic, respectively). (E) WAXS maps corresponding to panel D.