Absolute scattering cross-section
The absolute scattering is the scattering intensity given in correct absolute units (as opposed to relative unites); from this quantity one can make quantify certain values (amount of material, molecular weight, etc.).
The easiest way to obtain absolute scattering is to measure a known standard (glassy carbon, water, etc.). In small-angle scattering:
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle I(q) = I_0 \Omega t e^{- \mu t} \frac{ \mathrm{d} \Sigma } {\mathrm{d} \Omega} (q) }
Where:
- I(q) is the scattering intensity, in arbitrary units
- I_0 is the apparent source intensity (incident beam), in arbitrary units
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Omega} is the solid angle subtended by detector
- t is sample thickness
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \scriptstyle \mu} is the linear absorption coefficient
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{d} \Sigma / \mathrm{d} \Omega } is the differential scattering cross-section per unit volume per unit solid angle (units cm−1</math>)
See Also
- J. Appl. Cryst. 1972, 5, 315-324.
- J. Appl. Cryst. 1983, 16, 473-478.
- Acta Metall. Mater. 1991, 39, 11, 2477-2487.
