A milestone for the solution to the lattice sphere covering problem in dimension n = 6 [0.03%]
维度n=6的格球覆盖问题求解的一个里程碑式结果
Frank Vallentin
Frank Vallentin
The complete classification of (primitive, generic) parallelohedra in a given dimension is a challenging computational task. Nearly 50 years have passed since the classification for the last dimension, n = 5, was completed. One application ...
J D Clayton
J D Clayton
In elastic crystals, a hyperelastic description is conventionally assumed, and the strain energy potential is idealized as a Taylor-series expansion in strain about an unstrained reference state. Coefficients of quadratic terms are second-o...
The general equation of δ direct methods and the novel SMAR algorithm residuals using the absolute value of ρ and the zero conversion of negative ripples [0.03%]
基于ρ的绝对值和负波动归零的δ运算通用公式及SMAR残差算法研究
Jordi Rius
Jordi Rius
The general equation δM(r) = ρ(r) + g(r) of the δ direct methods (δ-GEQ) is established which, when expressed in the form δM(r) - ρ(r) = g(r), is used in the SMAR phasing algorithm [Rius (2020). Acta Cryst A76, 489-493]. It is shown t...
Olaf Delgado-Friedrichs,Michael O&#x;Keeffe,Michael M J Treacy
Olaf Delgado-Friedrichs
Ladder graphs admit a maximum-symmetry embedding in which edges coincide. In folding ladders, there are no zero-length edges. We give examples of high-symmetry 3-periodic ladders, particularly emphasizing the structures of 3-periodic vertex...
Mathieu Dutour Sikirić,Wessel van Woerden
Mathieu Dutour Sikirić
In this paper, we report on the full classification of generic iso-edge subdivisions of six-dimensional translational lattices. We obtain a complete list of 55083357 affine types of iso-edge subdivisions. We report on the use of the method ...
Prices of IUCr journals [0.03%]
IUCr期刊价格政策
International Union of Crystallography
International Union of Crystallography
IUCr Journals subscription prices for 2025. Keywords: prices of IUCr journals.
Budhika G Mendis
Budhika G Mendis
In electron microscopy the principle of reciprocity is often used to imply time reversal symmetry. While this is true for elastic scattering, its applicability to inelastic scattering is less well established. From the second law of thermod...
Symmetries and symmetry-generated averages of elastic constants up to the sixth order of nonlinearity for all crystal classes, isotropy and transverse isotropy [0.03%]
各向同性、横向各向同性和晶体学各向异性材料的弹性常数及其对称生成平均值（一至六阶）
Rodion Sergeyevich Telyatnik
Rodion Sergeyevich Telyatnik
Algebraic expressions for averaging linear and nonlinear stiffness tensors from general anisotropy to different effective symmetries (11 Laue classes elastically representing all 32 crystal classes, and two non-crystalline symmetries: isotr...
Alexander P Shevchenko,Vladislav A Blatov
Alexander P Shevchenko
The crystal structure uniformity is numerically estimated as the standard deviation of the crystal space quantizer 〈G3〉. This criterion has been applied to explore the uniformity of ionic sublattices in 21465 crystal structures of inorgan...
Periodic diffraction from an aperiodic monohedral tiling - the Spectre tiling. Addendum [0.03%]
周期性衍射与非周期单铺砌——谱图(tile)补遗
Craig S Kaplan,Michael O&#x;Keeffe,Michael M J Treacy
Craig S Kaplan
This article describes the diffraction pattern (2-periodic Fourier transform) from the vertices of a large patch of the recently discovered `Spectre' tiling - a strictly chiral aperiodic monotile. It was reported recently that the diffracti...