International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

International Tables for Crystallography (2010). Vol. B, ch. 4.6, p. 620   | 1 | 2 |

Table 4.6.4.1 

W. Steurera* and T. Haibacha

aLaboratory of Crystallography, Department of Materials, ETH Hönggerberg, HCI G 511, Wolfgang-Pauli-Strasse 10, CH-8093 Zurich, Switzerland
Correspondence e-mail:  walter.steurer@mat.ethz.ch

Table 4.6.4.1| top | pdf |
Intensity statistics of the Fibonacci chain for a total of 161 322 reflections with [-1000 \leq h_{i} \leq 1000] and [0 \leq \sin \theta/\lambda \leq 2\;\hbox{\AA}^{-1}]

In the upper line, the number of reflections in the respective interval is given; in the lower line the partial sums [ {\textstyle\sum} {I}({\bf H})] of the intensities [I({\bf H})] are given as a percentage of the total diffracted intensity. The F(00) reflection is not included in the sums.

 [F({\bf H})/F({\bf H})_{\max} \geq 0.1][0.1\, \gt\, F({\bf H})/F({\bf H})_{\max} \geq 0.01][0.01 \,\gt\, F({\bf H})/F({\bf H})_{\max} \geq 0.001][F({\bf H})/F({\bf H})_{\max} \,\lt\, 0.001]
[0 \leq \sin \theta/\lambda \leq 0.2\;{\AA}^{-1}] 17 148 1505 14 511
[ {\textstyle\sum} {I}({\bf H})] 52.53% 2.56% 0.27% 0.03%
[0.2 \leq \sin \theta/\lambda \leq 0.4\;\hbox{\AA}^{-1}] 11 107 1066 14 998
[ {\textstyle\sum} {I}({\bf H})] 27.03% 2.03% 0.19% 0.02%
[0.4 \leq \sin \theta/\lambda \leq 0.6\;\hbox{\AA}^{-1}] 9 64 654 15 456
[ {\textstyle\sum} {I}({\bf H})] 9.84% 0.96% 0.12% 0.01%
[0.6 \leq \sin \theta/\lambda \leq 0.8\;\hbox{\AA}^{-1}] 6 27 326 15 823
[ {\textstyle\sum} {I}({\bf H})] 2.94% 0.34% 0.07% 0.01%
[0.8 \leq \sin \theta/\lambda \leq 2\;\hbox{\AA}^{-1}] 1 35 338 96 720
[ {\textstyle\sum} {I}({\bf H})] 0.23% 0.79% 0.06% 0.01%
Total sum 44 381 3389 157 508
92.57% 6.67% 0.70% 0.06%