answer3.htmTEXTttxtÀÿè¶$¶smBIN€‚�… Powder Diffraction Project


Powder Diffraction Project

Answer: Pbnm Refinement, Whole Range

Page 3 of 7


Previous Index Next

Refinement with the group Pbnm in the whole range of data

The match of the pattern calculated with the structure obtained in the previous refinement (done with the lower angle area data only) with the full range of experimental data shows that the peakshape and halfwidth parameters taken from there are actually very bad:

Higher angle area

The picture shows that, before any conclusions about group Pbnm are drawn, a further refinement with the whole range of data with a stress on the peak shape parameters would be necessary:

Step Circles Rwp Scale
(refined)
Other parameters refined
(values after the refinement)
1. 2 20.280 2.53 PEAK SHAPE PARAMETERS Gam0 = .409982
Gam1 = -.016668
Gam2 = 9.8788e-5
2. 4 15.676 2.5131 CELL PARAMETERS (a, b, c) = 6.928331
8.418787
5.370543
ZEROPOINT = .08996
U = .015437
V = .098346
W = .152900
3. 6 15.095 2.5873 CELL PARAMETERS (a, b, c) = 6.928464
8.418672
5.370291
ZEROPOINT = .08889
Gam0 = .185117
Gam1 = -.008665
Gam2 = .000072
4. 6 14.747 2.6299 CELL PARAMETERS (a, b, c) = 6.928179
8.418952
5.370339
ZEROPOINT = .08877
HALFWIDTH PARAMETERS U = .004823
V = .047713
W = .161651
PEAK SHAPE PARAMETERS Gam0 = .123027
Gam1 = -.003742
Gam2 = .000054
5. 3 14.394 2.6296 CELL PARAMETERS (a, b, c) = 6.928209
8.419052
5.370334
ZEROPOINT = .08892
PB (x, y) .16890 .18964
S (x, y) .18148 .43201
O1 (x, y) .09514 .59230
O2 (x, y) .03782 .30685
O3 (x, y, z) .30676 .41891 .97427
6. 3 14.116 2.6754 PB (B) .3600
S (B) .4294
O1 (B) .5585
O2 (B) .5989
O3 (B) .3755
7. 4 14.061 2.7085 PB (x, y, B) .16915 .18962 .3654
S (x, y, B) .18019 .43324 .3430
O1 (x, y, B) .09510 .59201 .6061
O2 (x, y, B) .03900 .30685 .6595
O3 (x, y, z, B) .30725 .41871 .97464 .3850
CELL PARAMETERS = 6.928194
8.419136
5.370313
ZEROPOINT = .08896
HALFWIDTH PARAMETERS U = -.000104
V = .044196
W = .162877
PEAK SHAPE PARAMETERS Gam0 = .255005
Gam1 = -.006164
Gam2 = .000066

A big drop of R-factor value in only one step (from 20.280 after the first step to 15.676 in Step 2) shows how bad peak shape parameters were determined from data from the lower angle area only, and how big hindrance they were for refinement of the other parameters.

After these 7 steps any further refinement attempt proved to be futile, and it seems that 14% is the best Rwp value that can be obtained with the orthorhombic group.

Final Plot

Still fairly high R-factor value may be a signal that some of starting premises may be wrong. A further step would be to try refinement with the groups of lower symmetry; P21/b and P21/n in this case.

Previous Index Next


Student: Siniûa Prokic

¶¶2²ü „  Š ª  ² ¶  · Í  Ñ Õ  Ú à  ð ý     & *  - ë  ÿÿ )  ÿÿ*  8 I  Z e  k  ÿÿ0 8  9  ÿÿ?  B  ÿÿG  S  ÿÿU  X  ÿÿZ  \  ÿÿ_  o  ÿÿp  v  ÿÿx  {  ÿÿ}    ÿÿ‚  “  ÿÿ”  �  ÿÿŸ  ¢  ÿÿ¤  ¦  ÿÿ©  ¹  ÿÿº  Ú  ÿÿÜ  ß  ÿÿá  ã  ÿÿæ  ÷  ÿÿø    ÿÿ    ÿÿ    ÿÿ  )  ÿÿ*  e  ÿÿg  i x  z  ÿÿ}  „ ‹  �  ÿÿ�  ˜ š  › ž     ÿÿ£  ª ¹  » ¼  ¾  ÿÿÁ  È H  J  ÿÿM  T [  ]  ÿÿ`  h j  k n  p  ÿÿs  z ‰  ‹ Œ  Ž  ÿÿ‘  ˜  �  ’  ÿÿ •  œ  £  ¥  ÿÿ ¨  °  ²  ³  ¶  ¸  ÿÿ »    Ñ  Ó  Ô  Ö  ÿÿ Ù  à  Å  Ç  ÿÿ Ê  Ñ  Ø  Ú  ÿÿ Ý  å  ç  è  ë  í  ÿÿ ð  ÷        ÿÿ     ä  æ  ÿÿ é  ð  ÷  ù  ÿÿ ü          ÿÿ     %  '  (  *  ÿÿ -  4 ë  í  ÿÿð  ÷ þ    ÿÿ           ÿÿ   ,  . /  1  ÿÿ4  ; ñ  ó  ÿÿö  ý     ÿÿ          ÿÿ  # 2  4 5  7  ÿÿ:  A     ÿÿ    ÿÿ\ ÑŒ  ÿÿ! 7  8  ÿÿ;  I Z  d o  u  ÿÿ* ˆ  ÿÿÌ  Ð  ÿÿÑ  Ô  ÿÿ×  å û        " &  + 1  A N  Q ¶¶2ð'äR2styl