Twinning by Reticular Merohedry






Structure of 2,2,4,4,6,6-Hexa-t-butylcyclotrisiloxane
cell: 10.079 10.079 48.409 90 90 120
for the .p4p-file click here

no problems in space group determination: R-3c  for the .hkl-file click here

no problems in solving and refining the structure

R1 = 0.058 for 751 Fo > 4sigma (Fo)

wR2 = 0.164 for all 849 data

Analysis of variance for reflections employed in refinement K = Mean[Fo2] / Mean[Fc2] for group
Fc/Fc(max) 0.000 0.018 0.032 0.050 0.066 0.085
Number in group 88 82 88 83 86 ...
GooF 2.535 1.336 1.820 3.150 2.022 ...
K 4.541 1.384 1.163 1.177 1.072 ...

Most Disagreeable Reflections
h k l Fo2 Fc2 Delta(F2)
/sigma
Fc/Fcmax Res.(Å)
-4 5 6 2498.95 572.20 10.43 0.058 1.85
-6 9 3 890.60 19.51 7.45 0.011 1.10
-3 3 36 826.20 44.67 6.21 0.016 1.22
0 3 48 2101.16 822.25 5.07 0.070 0.95
-1 5 15 917.30 377.39 4.72 0.047 1.64
0 3 18 13742.82 8415.34 4.67 0.224 1.97
-3 3 6 31912.33 21039.83 4.07 0.354 2.74
-1 5 18 1159.22 645.61 3.61 0.062 1.55
-3 9 6 989.72 516.90 3.11 0.055 1.09
-2 10 3 924.20 414.06 3.10 0.050 0.95
-6 9 9 394.99 56.37 2.97 0.018 1.08
-1 2 21 914.87 589.59 2.77 0.059 2.10

s.u. (C - C):  0.0042 - 0.0044

Residual density maximum:  0.96 e/Å3
 
 
 
  P A B C I F Obv Rev All
N 0 24004 23981 24079 23964 36032 31915 31944 47964
N I>3sigma 0 6903 6913 7404 6931 10610 3990 6964 13592
<I> 0.0 80.3 81.4 84.3 80.8 82.0 16.8 66.2 81.0
<I/sigma > 0.0 4.1 4.1 4.3 4.1 4.1 1.6 3.4 4.0

 

Obverse/Reverse twinning:

Domain 1: -h + k + l = 3n

Domain 2: h - k + l = 3n
 
-h + k + l h - k + l domain
= 3n = 3n+1  or  3n+2 1
= 3n+1  or  3n+2 = 3n 2
= 3n+1  or  3n+2 = 3n+1  or  3n+2 -
= 3n = 3n 1 and 2

 

=> HKLF 5

Refinement as Twin

.ins-File:

MERG  0

BASF  0.2

HKLF  5
 

.hkl-File:
original hkl-file after merging in XPREP new hkl-file
h k l F2 sigma(F2) N h k l F2 sigma(F2) N
-8 11 2 1.57 0.41 -8 11 2 1.57 0.41 1
-7 11 2 -0.36 0.38
-6 11 2 1.54 0.37
-5 11 2 9.51 0.42 -5 11 2 9.51 0.42 1
-4 11 2 0.03 0.37
-3 11 2 0.74 0.38
-2 11 2 1.27 0.46 -2 11 2 1.27 0.46 1
-2 2 3 0.24 0.09 2 -2 3 0.24 0.09 -2
-2 2 3 0.24 0.09 1
-1 2 3 595.50 2.87 1 -2 3 595.50 2.87 -2
-1 2 3 595.50 2.87 1

 
 

R1 = 0.0349 for 751 Fo > 4 sigma (Fo)

wR2 = 0.0903 for 849 data

K2 = 0.151(4)

Analysis of variance for reflections employed in refinement K = mean(Fo2) / mean(Fc2) for group
Fc/Fcmax 0.000 0.018 0.033 0.050 0.066 0.083
Number in group 86 89 82 85 85 ...
GooF 1.113 1.098 1.154 1.316 0.947 ...
K 2.500 1.264 1.073 1.068 1.024 ...

Most Disagreeable Reflections
h k l Fo2 Fc2 Delta(F2)
/sigma
Fc/Fcmax Res.(Å)
0 4 2 7005.29 4993.84 5.64 0.172 2.17
-1 2 21 839.00 558.22 4.63 0.058 2.10
-4 4 4 11408.31 9041.03 3.98 0.231 2.15
-1 3 11 82.86 11.39 3.70 0.008 2.64
-2 5 29 213.82 76.02 3.39 0.021 1.28
-3 3 24 1766.00 2269.19 3.36 0.116 1.66
-6 9 36 961.23 552.26 3.22 0.057 0.85
-3 5 31 147.91 301.97 3.19 0.042 1.23
-4 4 34 2022.79 2547.27 3.02 0.123 1.19
-2 5 17 622.11 459.89 2.86 0.052 1.64

 
 

s.u. (C - C) : 0.0024 - 0.0025

Residual density maximum = 0.39 e/Å3