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Figure 15
Density distributions of the uniform, lamellar and hexagonal structures: note the Van Hove singularities (i) the inverse square root singularities of the lamellar distribution at [\phi_{\min}] = −2 and [\phi_{\max}] = 2, (ii) the logarithmic singularity of the hexagonal distribution at ϕ = −2, and (iii) the discontinuous jumps from 1/(31/2π) and 1/[4(31/2)π] to zero at [\phi_{\min}] = −3 and [\phi_{\max}] = 6, respectively. The skewness of the latter two distributions is given by γLAM = 1 and γHEX = 2.

IUCrJ
Volume 5| Part 3| May 2018| Pages 247-268
ISSN: 2052-2525
https://doi.org/10.1107/S2052252518001161