An Introduction to X-Ray Crystallography by M. Woolfson PDF

By M. Woolfson

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Thus we have ^Comp,on = Z{1-(P S ), ? 36) that since for s = 0 (9 = 0) we have /sin(27irs)\ V 2 ) then p0 = 1. Hence, for radiation scattered in the incident-beam direction there is no incoherent component. As 6 increases so p decreases but the rate of decrease is less for those electrons which are most tightly bound in the atom. 12(a) there are given the radial electron-density distributions, 4nr2p(r), for the six electrons of the carbon atom calculated from Slater's approximate analytic wave functions.

While these extra points are also centres of symmetry they are not equivalent to those at the corners since they have different environments. Mirror plane (m) In fig. 25(b) there is shown a unit cell with mirror planes across two opposite (equivalent) faces. The plane passing through 0 generates the points A2 and B2 from Ax and Bv The repeat distance perpendicular to the mirror plane gives equivalent points A\, B\, A2 and B'2 and it can be seen that there arises another mirror plane displaced by \a from the one through O.

The vertical scale of these graphs has been adjusted to reveal more clearly the relative variation of (Kn)2 as a*s changes. The following then are the general characteristics of the functions (Kn)2. (1) The main maxima of (Kn)2 occur whenever a#s equals an integer. (2) Between the main maxima there are n — 1 minima, where (Kn)2 is zero, and n — 2 subsidiary maxima. (3) The width of a main maximum is 2/n and the maxima therefore get narrower as n increases. (4) The main peak is twice as wide as the subsidiary ones.

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An Introduction to X-Ray Crystallography by M. Woolfson


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