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Figure 5
Difference, in e Å−3, as a function of the distance r to the atomic center, between the atomic image (8–9) for atoms of C, Fe and Au, and several approximations (1)[link] to it, varying the number of terms K. A green bar at the axis shows the value Mathematical equation of the respective atomic image at its center divided by 100. Mathematical equation is computed for images of resolution Mathematical equation of 2 Å and 5 Å up to the distance limit Mathematical equation. Colored arrows matching the curves' colors indicate the value of the largest Mathematical equation for the given approximation. Terms with Mathematical equation (considered here as Mathematical equation, Mathematical equation, Mathematical equation and Mathematical equation) may be insufficient to produce an accurate approximation for the points close to Mathematical equation and one or two next terms beyond Mathematical equation may notably reduce the error.

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