Hilmar Koerner’s favorite structure is:

Nematic phase under external fields

Nematic phase under external fields

Source: taken myself with CCD image at CHESS

Why?

Liquid Crystal phases are not only beautiful under the polarizing optical microscope with a colorful display of textures. They also are beautiful in reciprocal space, especially when seen in real-time under external fields, such as electric or magnetic fields. It looks majestic when the molecules switch orientation and you see the X-ray pattern change from equatorial to meridional on demand…—Hilmar Koerner

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