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电子理论对话-10:科学照猫画虎,必然以讹传讹
虽然有无穷无尽的晶体,但是晶体中原子排列模式跑不出230空间群。有些化合物的晶体结构是完全一样的,包括原子在空间群的占位。
如果A用EET写了篇文章,B就会换一种化合物,仿照A的键络数据也写一篇文章。如果A错了,B也必然会错,这就是以讹传讹,起源于照猫画虎。
科学最忌讳的就是照猫画虎。
虽然EET电子理论是余瑞璜先生建立的,但是,这并不意味着余瑞璜先生写的每一篇文章都是正确的,换句话说,余瑞璜先生写的每一篇关于EET理论的文章,未必都遵循了他自己的EET思想。
然而,人们更喜欢套用余瑞璜先生的格式,去计算其他化合物。由此可见,指出余瑞璜先生文章中的错误,对发展和正确使用EET是至关重要的。
本次对话的是一篇有余瑞璜先生参与的文章,晶体结构不算很复杂,但是键络参数错误很多。这些错误对最后的结果究竟有多大的影响,这需要重新计算之后才能知道。
BFe2是四方晶系,空间群为140号。晶格常数a=5.1093,c=4.2486,晶体学晶胞里有4个(4a)B原子,8个(8h)Fe原子。
空间群表达式=4B(4a-B)8Fe(8h-Fe)
约化到化合物(系数表达式),
1B2Fe=1B(4a-B)2Fe(8h-Fe)
Iα=IM×IS×IK 中的:
IM=1,对于4a-B;
IM=2,对于8h-Fe;
1," ","4a-B","---","4a-B"," d===",2.1243
"4a-B",":",-2.5547,-2.5547,1.0622," Z=",2
" SP coordinates=",0,0,.75
"4a-B",":",-2.5547,-2.5547,3.1865," Z=",2
" SP coordinates=",0,0,1.25
Iα=1×2×1=2
2," ","8h-Fe","---","4a-B"," d===",2.1816
"8h-Fe",":",3.4028,-.8481,-4.2486," Z=",4
" SP coordinates=",1.166,.334,-.5
"4a-B",":",5.1093,0,-3.1865," Z=",8
" SP coordinates=",1.5,.5,-.25
以8h-Fe为参考原子:
Iα=2×4×2=16
以4a-B为参考原子:
Iα=1×8×2=16
3," ","8h-Fe","---","8h-Fe"," d===",2.3989
"8h-Fe",":",-.8481,1.7065,0," Z=",1
" SP coordinates=",.334,.834,.5
"8h-Fe",":",.8481,3.4028,0," Z=",1
" SP coordinates=",.666,1.166,.5
Iα=2×1×1=2
4," ","8h-Fe","---","8h-Fe"," d===",2.4467
"8h-Fe",":",-1.7065,5.9574,2.1243," Z=",2
" SP coordinates=",.166,1.666,1
"8h-Fe",":",-.8481,6.8158,0," Z=",2
" SP coordinates=",.334,1.834,.5
Iα=2×2×1=4
5," ","8h-Fe","---","8h-Fe"," d===",2.695
"8h-Fe",":",4.2612,3.4028,-2.1243," Z=",4
" SP coordinates=",1.334,1.166,0
"8h-Fe",":",6.8158,4.2612,-2.1243," Z=",4
" SP coordinates=",1.834,1.334,0
Iα=2×4×1=8
6," ","8h-Fe","---","8h-Fe"," d===",2.7184
"8h-Fe",":",1.7065,4.2612,-6.3729," Z=",4
" SP coordinates=",.834,1.334,-1
"8h-Fe",":",1.7065,5.9574,-4.2486," Z=",4
" SP coordinates=",.834,1.666,-.5
Iα=2×4×1=8
7," ","4a-B","---","4a-B"," d===",3.6127
"4a-B",":",-7.6639,7.6639,5.3108," Z=",4
" SP coordinates=",-1,2,1.75
"4a-B",":",-5.1093,5.1093,5.3108," Z=",4
" SP coordinates=",-.5,1.5,1.75
Iα=1×4×1=4
8," ","4a-B","---","8h-Fe"," d===",3.6641
"4a-B",":",2.5547,-2.5547,-3.1865," Z=",8
" SP coordinates=",1,0,-.25
"8h-Fe",":",3.4028,-5.9574,-4.2486," Z=",4
" SP coordinates=",1.166,-.666,-.5
以4a-B为参考原子:
Iα=1×8×2=16
以8h-Fe为参考原子:
Iα=2×4×2=16
9," ","8h-Fe","---","4a-B"," d===",3.7128
"8h-Fe",":",.8481,6.8158,6.3729," Z=",4
" SP coordinates=",.666,1.834,2
"4a-B",":",2.5547,7.6639,3.1865," Z=",8
" SP coordinates=",1,2,1.25
以8h-Fe为参考原子:
Iα=2×4×2=16
以"4a-B为参考原子:
Iα=1×8×2=16
10," ","8h-Fe","---","8h-Fe"," d===",3.8113
"8h-Fe",":",-.8481,-3.4028,-4.2486," Z=",2
" SP coordinates=",.334,-.166,-.5
"8h-Fe",":",.8481,-6.8158,-4.2486," Z=",2
" SP coordinates=",.666,-.834,-.5
Iα=2×2×1=4
11," ","8h-Fe","---","8h-Fe"," d===",4.0201
"8h-Fe",":",-4.2612,3.4028,-4.2486," Z=",4
" SP coordinates=",-.334,1.166,-.5
"8h-Fe",":",-4.2612,6.8158,-2.1243," Z=",4
" SP coordinates=",-.334,1.834,0
Iα=2×4×1=8
12," ","8h-Fe","---","8h-Fe"," d===",4.191
"8h-Fe",":",-5.9574,6.8158,0," Z=",8
" SP coordinates=",-.666,1.834,.5
"8h-Fe",":",-3.4028,4.2612,-2.1243," Z=",8
" SP coordinates=",-.166,1.334,0
Iα=2×8×1=16
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