Article | REF: P1075 V1

X-ray crystal structure resolution

Author: Yves JEANNIN

Publication date: December 10, 1998

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3. Patterson function

3.1 Mathematical expression

To understand the process, let's explain its principle in the one-dimensional case. Let's imagine a one-dimensional mesh containing two atoms with abscissas x = α and x = β and atomic diffusion factors f 1 and f 2 . Consider two points with abscissas x and x + u and carry out the product of the electron density ρ at each of these points: ρ (x) · ρ (x + u)

Then let's calculate the average of this expression over the mesh of parameter a by varying x expressed in arbitrary units: P=01ρ(x)ρ(x+u)dx

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Patterson function