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横看成岭侧成峰:晶体学数据和原子环境

已有 5395 次阅读 2010-3-7 01:21 |个人分类:晶体学和空间群|系统分类:论文交流| 余瑞璜, 电子理论

横看成岭侧成峰:晶体学数据和原子环境

对于晶体来说,如果描述了每一个原子的环境,就等于描述了这种晶体的结构。对于一块晶体,每个原子的环境都是唯一的,但是描述的方法可以不止一种,晶体学数据只是其中的一种描述方法。毫无疑问,X射线衍射数据也是一种描述晶体结构的方法,因为晶体结构数据就是从X射线衍射数据求解出来的。

Nd2Fe14B的晶体数据,Herbst测量的结果最好。1991年,Herbst Rev. Mod. Phys. 发表了一篇85页的综述文章,题目R2Fe14B Materials: Intrinsic properties and technological aspectsR表示稀土元素)Herbst根据自己1984年和1985年发表的Nd2Fe14B晶体结构和原子坐标数据,计算了Nd2Fe14B的小于4.000埃的全部42条实验键距和相应的配对配位数,Herbst的数据是以各个原子为参考原子来排列,如果把这些数据用于EET的计算,还需要进行简单的挑拣Herbst当时也指出计算Nd2Fe14B的电子结构是一件非常困难的事情。

Nd2Fe14B的空间群告诉我们,按照原子环境的特点来看,Nd2Fe14B17个原子可以分成9类,对应于空间群(136号)的9种原子占位。如果依次站在这9类原子上,环看四周的环境,把测量到的数据记下来。

我们立足的那个原子是参考原子,看到和测量到的环境参数有:参考原子和环境原子的距离,环境原子的种类,环境原子的数量,环境原子的空间坐标。

下面是我用Herbst的原始实验数据计算的结果,Herbst的结果比较,得到如下结论:

1)Herbst的计算结果是正确的;

2)如果Herbst是手算(非程序)的,Herbst的晶体学修养非常高,不愧是世界的晶体学家;

3)如果Herbst是用程序算的,Herbst的程序在取舍(键距)的数据时,还存在缺陷。

(下面的数据中,P是一个团簇壳层拓扑参数)

"a=",8.8,"b=",8.8,"c=",12.2,"Delta=",.005

1

"4c-Fe"," is a reference atom"

"      Cartesian =  ",-4.4,0,-6.1

"      SP coordinates=",0,.5,0

"",1,1

"      d of neighbors from the reference atom =",2.4969

"      The number of neighbor atoms"," N=",4,"P=",2

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-4.7256,1.232,-8.2472

"      SP coordinates=  ",-.037,.64,-.176

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-4.7256,1.232,-3.9528

"     SP coordinates=  ",-.037,.64,.176

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-4.0744,-1.232,-8.2472

"      SP coordinates=  ",.037,.36,-.176

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-4.0744,-1.232,-3.9528

"      SP coordinates=  ",.037,.36,.176

"",1,2

"      d of neighbors from the reference atom =",2.5689

"      The number of neighbor atoms"," N=",4,"P=",2

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-6.3624,-.5896,-7.6494

"      SP coordinates=  ",-.223,.433,-.127

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-6.3624,-.5896,-4.5506

"      SP coordinates=  ",-.223,.433,.127

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-2.4376,.5896,-7.6494

"      SP coordinates=  ",.223,.567,-.127

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-2.4376,.5896,-4.5506

"      SP coordinates=  ",.223,.567,.127

"",1,3

"      d of neighbors from the reference atom =",3.1193

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-6.7584,2.0416,-6.1

"      SP coordinates=  ",-.268,.732,0

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-2.0416,-2.0416,-6.1

"      SP coordinates=  ",.268,.268,0

"",1,4

"      d of neighbors from the reference atom =",3.3991

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",-5.632,-3.168,-6.1

"      SP coordinates=  ",-.14,.14,0

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",-3.168,3.168,-6.1

"      SP coordinates=  ",.14,.86,0

"",1,5

"      d of neighbors from the reference atom =",3.4565

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-7.6648,-1.1352,-6.1

"      SP coordinates=  ",-.371,.371,0

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-1.1352,1.1352,-6.1

"      SP coordinates=  ",.371,.629,0

2

"4e-Fe"," is a reference atom"

"      Cartesian =  ",-4.4,-4.4,-1.3908

"      SP coordinates=",0,0,.386

"",2,1

"      d of neighbors from the reference atom =",2.1241

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-5.5352,-5.5352,0

"      SP coordinates=  ",-.129,-.129,.5

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-3.2648,-3.2648,0

"      SP coordinates=  ",.129,.129,.5

"",2,2

"      d of neighbors from the reference atom =",2.5129

"      The number of neighbor atoms"," N=",4,"P=",2

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-6.8376,-4.9896,-1.5494

"      SP coordinates=  ",-.277,-.067,.373

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-4.9896,-6.8376,-1.5494

"      SP coordinates=  ",-.067,-.277,.373

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-3.8104,-1.9624,-1.5494

"      SP coordinates=  ",.067,.277,.373

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-1.9624,-3.8104,-1.5494

"      SP coordinates=  ",.277,.067,.373

"",2,3

"      d of neighbors from the reference atom =",2.5333

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-5.2624,-5.2624,-3.6112

"      SP coordinates=  ",-.098,-.098,.204

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-3.5376,-3.5376,-3.6112

"      SP coordinates=  ",.098,.098,.204

"",2,4

"      d of neighbors from the reference atom =",2.7816

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4e-Fe"

"      Cartesian =  ",-4.4,-4.4,1.3908

"      SP coordinates=  ",0,0,.614

"",2,5

"      d of neighbors from the reference atom =",2.7893

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-6.0104,-2.7896,-3.0012

"      SP coordinates=  ",-.183,.183,.254

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-2.7896,-6.0104,-3.0012

"      SP coordinates=  ",.183,-.183,.254

"",2,6

"      d of neighbors from the reference atom =",3.2048

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-6.4416,-2.3584,0

"      SP coordinates=  ",-.232,.232,.5

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-2.3584,-6.4416,0

"      SP coordinates=  ",.232,-.232,.5

"",2,7

"      d of neighbors from the reference atom =",3.8645

"      The number of neighbor atoms"," N=",4,"P=",2

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-6.8376,-4.9896,1.5494

"      SP coordinates=  ",-.277,-.067,.627

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-4.9896,-6.8376,1.5494

"      SP coordinates=  ",-.067,-.277,.627

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-3.8104,-1.9624,1.5494

"      SP coordinates=  ",.067,.277,.627

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-1.9624,-3.8104,1.5494

"      SP coordinates=  ",.277,.067,.627

3

"4f-Nd"," is a reference atom"

"      Cartesian =  ",-2.3584,2.3584,0

"      SP coordinates=",.232,.768,.5

"",3,1

"      d of neighbors from the reference atom =",3.0625

"      The number of neighbor atoms"," N=",6,"P=",4

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-3.168,.3256,-2.1472

"      SP coordinates=  ",.14,.537,.324

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-3.168,.3256,2.1472

"      SP coordinates=  ",.14,.537,.676

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-2.7896,2.7896,-3.0012

"      SP coordinates=  ",.183,.817,.254

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-2.7896,2.7896,3.0012

"      SP coordinates=  ",.183,.817,.746

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-.3256,3.168,-2.1472

"      SP coordinates=  ",.463,.86,.324

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-.3256,3.168,2.1472

"      SP coordinates=  ",.463,.86,.676

"",3,2

"      d of neighbors from the reference atom =",3.0791

"      The number of neighbor atoms"," N=",4,"P=",2

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-4.9896,1.9624,-1.5494

"      SP coordinates=  ",-.067,.723,.373

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-4.9896,1.9624,1.5494

"      SP coordinates=  ",-.067,.723,.627

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-1.9624,4.9896,-1.5494

"      SP coordinates=  ",.277,1.067,.373

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-1.9624,4.9896,1.5494

"      SP coordinates=  ",.277,1.067,.627

"",3,3

"      d of neighbors from the reference atom =",3.1193

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4c-Fe"

"      Cartesian =  ",-4.4,0,0

"      SP coordinates=  ",0,.5,.5

"      Neighbor atom:","4c-Fe"

"      Cartesian =  ",0,4.4,0

"      SP coordinates=  ",.5,1,.5

"",3,4

"      d of neighbors from the reference atom =",3.2048

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4e-Fe"

"      Cartesian =  ",-4.4,4.4,-1.3908

"      SP coordinates=  ",0,1,.386

"      Neighbor atom:","4e-Fe"

"      Cartesian =  ",-4.4,4.4,1.3908

"      SP coordinates=  ",0,1,.614

"",3,5

"      d of neighbors from the reference atom =",3.2665

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-.8624,.8624,-2.4888

"      SP coordinates=  ",.402,.598,.296

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-.8624,.8624,2.4888

"      SP coordinates=  ",.402,.598,.704

"",3,6

"      d of neighbors from the reference atom =",3.3036

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-5.5352,3.2648,0

"      SP coordinates=  ",-.129,.871,.5

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-3.2648,5.5352,0

"      SP coordinates=  ",.129,1.129,.5

"",3,7

"      d of neighbors from the reference atom =",3.7629

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",-1.232,-1.232,0

"      SP coordinates=  ",.36,.36,.5

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",1.232,1.232,0

"      SP coordinates=  ",.64,.64,.5

4

"4g-B"," is a reference atom"

"      Cartesian =  ",-3.2648,-3.2648,0

"      SP coordinates=",.129,.129,.5

"",4,1

"      d of neighbors from the reference atom =",2.0963

"      The number of neighbor atoms"," N=",4,"P=",2

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-3.8104,-1.9624,-1.5494

"      SP coordinates=  ",.067,.277,.373

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-3.8104,-1.9624,1.5494

"      SP coordinates=  ",.067,.277,.627

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-1.9624,-3.8104,-1.5494

"      SP coordinates=  ",.277,.067,.373

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-1.9624,-3.8104,1.5494

"      SP coordinates=  ",.277,.067,.627

"",4,2

"      d of neighbors from the reference atom =",2.1241

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4e-Fe"

"      Cartesian =  ",-4.4,-4.4,-1.3908

"      SP coordinates=  ",0,0,.386

"      Neighbor atom:","4e-Fe"

"      Cartesian =  ",-4.4,-4.4,1.3908

"      SP coordinates=  ",0,0,.614

"",4,3

"      d of neighbors from the reference atom =",2.8748

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",-1.232,-1.232,0

"      SP coordinates=  ",.36,.36,.5

"",4,4

"     d of neighbors from the reference atom =",3.2108

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-3.2648,-3.2648,0

"      SP coordinates=  ",.129,.129,.5

"",4,5

"      d of neighbors from the reference atom =",3.3036

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-6.4416,-2.3584,0

"      SP coordinates=  ",-.232,.232,.5

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-2.3584,-6.4416,0

"      SP coordinates=  ",.232,-.232,.5

"",4,6

"      d of neighbors from the reference atom =",3.4565

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4c-Fe"

"      Cartesian =  ",-4.4,0,0

"      SP coordinates=  ",0,.5,.5

"      Neighbor atom:","4c-Fe"

"      Cartesian =  ",0,-4.4,0

"      SP coordinates=  ",.5,0,.5

"",4,7

"      d of neighbors from the reference atom =",3.6317

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-3.5376,-3.5376,-3.6112

"      SP coordinates=  ",.098,.098,.204

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-3.5376,-3.5376,3.6112

"      SP coordinates=  ",.098,.098,.796

"",4,8

"      d of neighbors from the reference atom =",3.8829

"     The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-1.6104,-1.6104,-3.0988

"      SP coordinates=  ",.317,.317,.246

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-1.6104,-1.6104,3.0988

"      SP coordinates=  ",.317,.317,.754

5

"4g-Nd"," is a reference atom"

"      Cartesian =  ",-3.168,3.168,-6.1

"      SP coordinates=",.14,.86,0

"",5,1

"      d of neighbors from the reference atom =",2.8748

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-1.1352,1.1352,-6.1

"      SP coordinates=  ",.371,.629,0

"",5,2

"      d of neighbors from the reference atom =",3.0955

"      The number of neighbor atoms"," N=",4,"P=",2

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-2.4376,.5896,-7.6494

"      SP coordinates=  ",.223,.567,-.127

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-2.4376,.5896,-4.5506

"      SP coordinates=  ",.223,.567,.127

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-.5896,2.4376,-7.6494

"      SP coordinates=  ",.433,.777,-.127

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-.5896,2.4376,-4.5506

"      SP coordinates=  ",.433,.777,.127

"",5,3

"      d of neighbors from the reference atom =",3.1447

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-2.7896,2.7896,-9.1988

"      SP coordinates=  ",.183,.817,-.254

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-2.7896,2.7896,-3.0012

"      SP coordinates=  ",.183,.817,.254

"",5,4

"      d of neighbors from the reference atom =",3.2737

"      The number of neighbor atoms"," N=",4,"P=",2

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-5.2624,3.5376,-8.5888

"      SP coordinates=  ",-.098,.902,-.204

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-5.2624,3.5376,-3.6112

"      SP coordinates=  ",-.098,.902,.204

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-3.5376,5.2624,-8.5888

"      SP coordinates=  ",.098,1.098,-.204

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-3.5376,5.2624,-3.6112

"      SP coordinates=  ",.098,1.098,.204

"",5,5

"      d of neighbors from the reference atom =",3.284

"      The number of neighbor atoms"," N=",4,"P=",2

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-4.7256,1.232,-8.2472

"      SP coordinates=  ",-.037,.64,-.176

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-4.7256,1.232,-3.9528

"      SP coordinates=  ",-.037,.64,.176

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-1.232,4.7256,-8.2472

"      SP coordinates=  ",.36,1.037,-.176

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-1.232,4.7256,-3.9528

"      SP coordinates=  ",.36,1.037,.176

"",5,6

"      d of neighbors from the reference atom =",3.3991

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4c-Fe"

"      Cartesian =  ",-4.4,0,-6.1

"      SP coordinates=  ",0,.5,0

"      Neighbor atom:","4c-Fe"

"      Cartesian =  ",0,4.4,-6.1

"      SP coordinates=  ",.5,1,0

"",5,7

"      d of neighbors from the reference atom =",3.4846

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",-3.168,3.168,-6.1

"      SP coordinates=  ",.14,.86,0

"",5,8

"      d of neighbors from the reference atom =",3.7629

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-6.7584,2.0416,-6.1

"      SP coordinates=  ",-.268,.732,0

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-2.0416,6.7584,-6.1

"      SP coordinates=  ",.268,1.268,0

6

"8j-1-Fe"," is a reference atom"

"      Cartesian =  ",-3.5376,-3.5376,-3.6112

"      SP coordinates=",.098,.098,.204

"",6,1

"      d of neighbors from the reference atom =",2.3918

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-4.0744,-1.232,-3.9528

"      SP coordinates=  ",.037,.36,.176

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-1.232,-4.0744,-3.9528

"      SP coordinates=  ",.36,.037,.176

"",6,2

"      d of neighbors from the reference atom =",2.4392

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-3.5376,-3.5376,-3.6112

"      SP coordinates=  ",.098,.098,.204

"",6,3

"      d of neighbors from the reference atom =",2.5333

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4e-Fe"

"      Cartesian =  ",-4.4,-4.4,-1.3908

"      SP coordinates=  ",0,0,.386

"",6,4

"      d of neighbors from the reference atom =",2.609

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-3.8104,-1.9624,-1.5494

"      SP coordinates=  ",.067,.277,.373

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-1.9624,-3.8104,-1.5494

"      SP coordinates=  ",.277,.067,.373

"",6,5

"      d of neighbors from the reference atom =",2.6545

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-6.0104,-2.7896,-3.0012

"      SP coordinates=  ",-.183,.183,.254

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-2.7896,-6.0104,-3.0012

"      SP coordinates=  ",.183,-.183,.254

"",6,6

"      d of neighbors from the reference atom =",2.7732

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-1.6104,-1.6104,-3.0988

"      SP coordinates=  ",.317,.317,.246

"",6,7

"      d of neighbors from the reference atom =",3.2665

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-2.0416,-2.0416,-6.1

"      SP coordinates=  ",.268,.268,0

"",6,8

"      d of neighbors from the reference atom =",3.2737

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",-5.632,-3.168,-6.1

"      SP coordinates=  ",-.14,.14,0

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",-3.168,-5.632,-6.1

"      SP coordinates=  ",.14,-.14,0

"",6,9

"      d of neighbors from the reference atom =",3.6317

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-3.2648,-3.2648,0

"      SP coordinates=  ",.129,.129,.5

7

"8j-2-Fe"," is a reference atom"

"      Cartesian =  ",-2.7896,2.7896,-3.0012

"      SP coordinates=",.183,.817,.254

"",7,1

"      d of neighbors from the reference atom =",2.6351

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-3.168,.3256,-2.1472

"      SP coordinates=  ",.14,.537,.324

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-.3256,3.168,-2.1472

"      SP coordinates=  ",.463,.86,.324

"",7,2

"      d of neighbors from the reference atom =",2.6545

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-5.2624,3.5376,-3.6112

"      SP coordinates=  ",-.098,.902,.204

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-3.5376,5.2624,-3.6112

"      SP coordinates=  ",.098,1.098,.204

"",7,3

"      d of neighbors from the reference atom =",2.6608

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-4.7256,1.232,-3.9528

"      SP coordinates=  ",-.037,.64,.176

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-1.232,4.7256,-3.9528

"     SP coordinates=  ",.36,1.037,.176

"",7,4

"      d of neighbors from the reference atom =",2.7138

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-2.4376,.5896,-4.5506

"      SP coordinates=  ",.223,.567,.127

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-.5896,2.4376,-4.5506

"      SP coordinates=  ",.433,.777,.127

"",7,5

"      d of neighbors from the reference atom =",2.7626

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-4.9896,1.9624,-1.5494

"      SP coordinates=  ",-.067,.723,.373

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-1.9624,4.9896,-1.5494

"      SP coordinates=  ",.277,1.067,.373

"",7,6

"      d of neighbors from the reference atom =",2.7732

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-.8624,.8624,-2.4888

"      SP coordinates=  ",.402,.598,.296

"",7,7

"      d of neighbors from the reference atom =",2.7893

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4e-Fe"

"      Cartesian =  ",-4.4,4.4,-1.3908

"      SP coordinates=  ",0,1,.386

"",7,8

"      d of neighbors from the reference atom =",3.0625

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-2.3584,2.3584,0

"      SP coordinates=  ",.232,.768,.5

"",7,9

"      d of neighbors from the reference atom =",3.1447

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",-3.168,3.168,-6.1

"      SP coordinates=  ",.14,.86,0

"",7,10

"      d of neighbors from the reference atom =",3.8829

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-1.1352,1.1352,-6.1

"      SP coordinates=  ",.371,.629,0

8

"16k-1-Fe"," is a reference atom"

"      Cartesian =  ",-3.8104,-1.9624,-1.5494

"      SP coordinates=",.067,.277,.373

"",8,1

"      d of neighbors from the reference atom =",2.0963

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4g-B"

"      Cartesian =  ",-3.2648,-3.2648,0

"      SP coordinates=  ",.129,.129,.5

"",8,2

"      d of neighbors from the reference atom =",2.4505

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-3.168,.3256,-2.1472

"      SP coordinates=  ",.14,.537,.324

"",8,3

"      d of neighbors from the reference atom =",2.5129

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4e-Fe"

"      Cartesian =  ",-4.4,-4.4,-1.3908

"      SP coordinates=  ",0,0,.386

"",8,4

"      d of neighbors from the reference atom =",2.5209

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-5.632,-.3256,-2.1472

"      SP coordinates=  ",-.14,.463,.324

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-4.0744,-1.232,-3.9528

"      SP coordinates=  ",.037,.36,.176

"",8,5

"      d of neighbors from the reference atom =",2.5689

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4c-Fe"

"      Cartesian =  ",-4.4,0,0

"      SP coordinates=  ",0,.5,.5

"",8,6

"      d of neighbors from the reference atom =",2.609

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-3.5376,-3.5376,-3.6112

"      SP coordinates=  ",.098,.098,.204

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-1.9624,-3.8104,-1.5494

"      SP coordinates=  ",.277,.067,.373

"",8,7

"      d of neighbors from the reference atom =",2.7138

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-1.6104,-1.6104,-3.0988

"      SP coordinates=  ",.317,.317,.246

"",8,8

"      d of neighbors from the reference atom =",2.7626

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-6.0104,-2.7896,-3.0012

"      SP coordinates=  ",-.183,.183,.254

"",8,9

"      d of neighbors from the reference atom =",3.0791

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-6.4416,-2.3584,0

"      SP coordinates=  ",-.232,.232,.5

"",8,10

"      d of neighbors from the reference atom =",3.0955

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-3.8104,-1.9624,1.5494

"      SP coordinates=  ",.067,.277,.627

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",-1.232,-1.232,0

"      SP coordinates=  ",.36,.36,.5

"",8,11

"      d of neighbors from the reference atom =",3.8645

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4e-Fe"

"      Cartesian =  ",-4.4,-4.4,1.3908

"      SP coordinates=  ",0,0,.614

9

"16k-2-Fe"," is a reference atom"

"      Cartesian =  ",-4.0744,-1.232,-3.9528

"      SP coordinates=",.037,.36,.176

"",9,1

"      d of neighbors from the reference atom =",2.3918

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","8j-1-Fe"

"      Cartesian =  ",-3.5376,-3.5376,-3.6112

"      SP coordinates=  ",.098,.098,.204

"",9,2

"      d of neighbors from the reference atom =",2.4505

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-6.3624,-.5896,-4.5506

"      SP coordinates=  ",-.223,.433,.127

"",9,3

"      d of neighbors from the reference atom =",2.4969

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4c-Fe"

"      Cartesian =  ",-4.4,0,-6.1

"      SP coordinates=  ",0,.5,0

"",9,4

"      d of neighbors from the reference atom =",2.5209

"      The number of neighbor atoms"," N=",2,"P=",1

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-3.8104,-1.9624,-1.5494

"      SP coordinates=  ",.067,.277,.373

"      Neighbor atom:","16k-1-Fe"

"      Cartesian =  ",-2.4376,.5896,-4.5506

"      SP coordinates=  ",.223,.567,.127

"",9,5

"      d of neighbors from the reference atom =",2.5486

"      The number of neighbor atoms"," N=",3,"P=",3

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-5.632,-.3256,-2.1472

"      SP coordinates=  ",-.14,.463,.324

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-4.0744,-1.232,-3.9528

"      SP coordinates=  ",.037,.36,.176

"      Neighbor atom:","16k-2-Fe"

"      Cartesian =  ",-3.168,.3256,-2.1472

"      SP coordinates=  ",.14,.537,.324

"",9,6

"      d of neighbors from the reference atom =",2.6351

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-1.6104,-1.6104,-3.0988

"      SP coordinates=  ",.317,.317,.246

"",9,7

"      d of neighbors from the reference atom =",2.6608

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","8j-2-Fe"

"      Cartesian =  ",-6.0104,-2.7896,-3.0012

"      SP coordinates=  ",-.183,.183,.254

"",9,8

"      d of neighbors from the reference atom =",3.0656

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4f-Nd"

"      Cartesian =  ",-2.0416,-2.0416,-6.1

"      SP coordinates=  ",.268,.268,0

"",9,9

"      d of neighbors from the reference atom =",3.284

"      The number of neighbor atoms"," N=",1,"P=",0

"      Neighbor atom:","4g-Nd"

"      Cartesian =  ",-5.632,-3.168,-6.1

"      SP coordinates=  ",-.14,.14,0

 





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