Measurements of an Effective Longitudinal Coherence Length in Transmission Small Angle X-ray Scatterings

oleh: Chun-Ting Liu, Bo-Ching He, Guo-Dung Chen, Alice Chinghsuan Chang, Wen-Li Wu, Wei-En Fu

Format: Article
Diterbitkan: MDPI AG 2020-08-01

Deskripsi

The notion of an effective longitudinal coherence length with its value much greater than <inline-formula><math display="inline"><semantics><mrow><msup><mi>λ</mi><mn>2</mn></msup><mo>/</mo><mrow><mo>(</mo><mrow><mn>2</mn><mi mathvariant="normal">Δ</mi><mi>λ</mi></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula> has been adopted in small-angle X-ray scattering communities for years, where <inline-formula><math display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="normal">Δ</mi><mi>λ</mi></mrow></semantics></math></inline-formula> denote the incident wavelength and its spread, respectively. Often the implications of the effective longitudinal coherence length do not even enter considerations in the designing and data treatment of small-angle scattering experiments. In this work, conventional transmission small-angle X-ray scattering (tSAXS) was performed to reveal a clear angular dependence on effective longitudinal coherence length. The measured values of effective longitudinal coherence length can be as high as one millimeter, whereas the value of calculated <inline-formula><math display="inline"><semantics><mrow><msup><mi>λ</mi><mn>2</mn></msup><mo>/</mo><mrow><mo>(</mo><mrow><mn>2</mn><mi mathvariant="normal">Δ</mi><mi>λ</mi></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula> is in nanometers.