Chiral nematic structures of liquid crystalline blue phases are observed in this master thesis. After observing the thermodynamic stability of the system with the absence of flexoelectricity and order electricity I compare the acquired double twist cylinder structures and the defect lattice with the one found in literature. After taking flexoelectricity and order electricity into account, I focus on the induced electric potential that arises. The induced potential is calculated, visualized, and further inspected in terms of the influence it has on the free energy density of the system. In the case of the blue phase 1 structure I notice patterns of the electric potential, which lead me to closely investigate the director field in those regions. An improved scheme to visualize the structure of blue phase 1 is proposed. I analyze the effects of different strengths of flexoelectricity and the effect it has on the shape of the electric potential, as well as on the optimal unit cell size. The analysis of the effects flexoelectricity has on such structures exposes the existence of a regular network of electric potential, which could be suitable for transport of ions.
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