van der Maarel Johan R C
Department of Physics, National University of Singapore, 117542 Singapore.
J Appl Crystallogr. 2023 Nov 7;56(Pt 6):1714-1720. doi: 10.1107/S1600576723008671. eCollection 2023 Dec 1.
A general formalism is presented for the isotropically averaged single-chain scattering function (form factor) of single, double, triple and higher-order helices, as well as twisted fibres consisting of concentric layers of strands. Form factors for double and triple helices with differently sized grooves have also been derived. The formulas include the longitudinal and transverse interference over the pitch and radius of the helices, respectively. The results may be useful for the analysis of small-angle scattering data of (bio)macromolecules or molecular assemblies exhibiting a helical arrangement.
本文提出了一种通用形式,用于计算单链、双链、三链及更高阶螺旋以及由同心链层组成的扭曲纤维的各向同性平均单链散射函数(形状因子)。还推导了具有不同尺寸凹槽的双链和三链螺旋的形状因子。这些公式分别包括了螺旋间距和半径上的纵向和横向干涉。研究结果可能有助于分析呈现螺旋排列的(生物)大分子或分子聚集体的小角散射数据。