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博客是学术的桃花源:再答网友Steel的Fe3C问题
在一些学术交流会上,由于是面对面,实事求是的批评意见很少能听到。你错了,别人也不好意思当面提出来,别人错了,你也不好意思提出来。
博客就不同了,由于有匿名功能,因此什么意见都能够听到,什么意见都可以发表。
因此,俺要感谢网友对俺的批评,这使俺《点群/空间群操作系统》日臻完善。
如果我的口气越强硬,网友越是想把我的观点批倒,这样网友就需要投入一定的精力,这种多边的互动就是最好的学术活动。
如果没有博客,如何考验俺的《点群/空间群操作系统》,还真是个问题。
俺贴出的Fe3C数据,是去年调试程序时计算的。俺曾经发给研究生,希望他们能挑出个错误,并且答应有奖励,可是没有人能挑出个错误来。需要强调的是,能看出俺的结果和别人的结果不同,这还没有完成挑错的任务。究竟是谁的错了,为什么?
因为我的结果和别人书上的不一样,二者必有一个是错的。指出错的,相当于是一个选择题,做对的概率为50%。
因此,俺期待的是那个为什么!
网友Steel指出了俺的错误,并且使用Diamond软件画图然后进行验证。为俺找到了为什么!
正如网友Steel所说,刘志林和张瑞林的键没有问题。
但是,他们书上的等同键数目仍然有问题。
使用键两端原子各自的配位原子数的概念,比使用等同键数的概念,其物理图像更明确。
在Fe3C晶体中,键长小于6.8498的键,有147条。
这个数目是俺从Fe3C晶体的空间扫描出来的,涉及27个晶体学晶胞。
在扫描空间,共有5158条键,扫描配位数涉及到了124个晶体学晶胞。
附录:
1. 网友提问和质疑
[1] 标题:继续提问
发表评论人:[游客]Steel [2009-5-7 0:22:00] ip:59.51.9.*
非常感谢李教授专门回答本人的问题,万分荣幸还列入题目之中!我仔细对比了结果,又发现问题了!
在您的计算中,只包括了一个晶胞内的16个原子间成的键,这些键中确实没有1.8765的键,但是一个晶胞内的原子和相邻晶胞中原子所成键中是存在1.8765的,举个例子:(0.86,0.25,0.47)位置的C原子和(1.04,0.25,0.833)位置的Fe原子所成键的键长就是1.8756,这是我用Diamond软件画出Fe3C的晶胞看出来的。
晶胞只是想象的,不应该封闭,所以我认为是您少算了而不是张和刘多算了。看看是否如此?
再次感谢网友STELL的提问和花费宝贵的时间来验证数据!
俺用了两天的时间,把程序中的漏掉修补好了。
2. Fe3C的键参数(前45条键)
"a=",5.0787,"b=",6.7297,"c=",4.5144
1," ","4c-C","---","4c-Fe"," d===",1.8526
"4c-C",":",-1.8283,1.6824,.1354," Z=",1
" SP coordinates=",.14,.75,.53
" 配位原子:","4c-Fe",": ",-.2031,1.6824,-.7539
" SP coordinates=",.46,.75,.333
"4c-Fe",":",-.2031,1.6824,-.7539," Z=",1
" SP coordinates=",.46,.75,.333
" 配位原子:","4c-C",": ",-1.8283,1.6824,.1354
" SP coordinates=",.14,.75,.53
2," ","4c-Fe","---","4c-C"," d===",1.8764
"4c-Fe",":",-.2031,1.6824,3.7605," Z=",1
" SP coordinates=",.46,.75,1.333
" 配位原子:","4c-C",": ",.711,1.6824,2.1218
" SP coordinates=",.64,.75,.97
"4c-C",":",.711,1.6824,2.1218," Z=",1
" SP coordinates=",.64,.75,.97
" 配位原子:","4c-Fe",": ",-.2031,1.6824,3.7605
" SP coordinates=",.46,.75,1.333
3," ","8d-Fe","---","4c-C"," d===",2.0565
"8d-Fe",":",-1.6099,-.4374,-.7539," Z=",1
" SP coordinates=",.183,.435,.333
" 配位原子:","4c-C",": ",-.711,-1.6824,-2.1218
" SP coordinates=",.36,.25,.03
"4c-C",":",-.711,-1.6824,-2.1218," Z=",2
" SP coordinates=",.36,.25,.03
" 配位原子:","8d-Fe",": ",-1.6099,-2.9274,-.7539
" SP coordinates=",.183,.065,.333
" 配位原子:","8d-Fe",": ",-1.6099,-.4374,-.7539
" SP coordinates=",.183,.435,.333
4," ","8d-Fe","---","4c-C"," d===",2.1502
"8d-Fe",":",-.9294,7.1671,1.5033," Z=",1
" SP coordinates=",.317,1.565,.833
" 配位原子:","4c-C",": ",.711,8.4121,2.1218
" SP coordinates=",.64,1.75,.97
"4c-C",":",.711,8.4121,2.1218," Z=",2
" SP coordinates=",.64,1.75,.97
" 配位原子:","8d-Fe",": ",-.9294,7.1671,1.5033
" SP coordinates=",.317,1.565,.833
" 配位原子:","8d-Fe",": ",-.9294,9.6571,1.5033
" SP coordinates=",.317,1.935,.833
5," ","8d-Fe","---","4c-C"," d===",2.3091
"8d-Fe",":",-.9294,.4374,-3.0111," Z=",1
" SP coordinates=",.317,.565,-.167
" 配位原子:","4c-C",": ",-.711,-1.6824,-2.1218
" SP coordinates=",.36,.25,.03
"4c-C",":",-.711,-1.6824,-2.1218," Z=",2
" SP coordinates=",.36,.25,.03
" 配位原子:","8d-Fe",": ",-.9294,-3.8023,-3.0111
" SP coordinates=",.317,-.065,-.167
" 配位原子:","8d-Fe",": ",-.9294,.4374,-3.0111
" SP coordinates=",.317,.565,-.167
6," ","8d-Fe","---","8d-Fe"," d===",2.49
"8d-Fe",":",3.4688,-2.9274,-5.2683," Z=",1
" SP coordinates=",1.183,.065,-.667
" 配位原子:","8d-Fe",": ",3.4688,-.4374,-5.2683
" SP coordinates=",1.183,.435,-.667
"8d-Fe",":",3.4688,-.4374,-5.2683," Z=",1
" SP coordinates=",1.183,.435,-.667
" 配位原子:","8d-Fe",": ",3.4688,-2.9274,-5.2683
" SP coordinates=",1.183,.065,-.667
7," ","8d-Fe","---","8d-Fe"," d===",2.5146
"8d-Fe",":",.9294,-7.1671,-6.0177," Z=",2
" SP coordinates=",.683,-.565,-.833
" 配位原子:","8d-Fe",": ",1.6099,-6.2923,-8.2749
" SP coordinates=",.817,-.435,-1.333
" 配位原子:","8d-Fe",": ",1.6099,-6.2923,-3.7605
" SP coordinates=",.817,-.435,-.333
"8d-Fe",":",1.6099,-6.2923,-3.7605," Z=",2
" SP coordinates=",.817,-.435,-.333
" 配位原子:","8d-Fe",": ",.9294,-7.1671,-6.0177
" SP coordinates=",.683,-.565,-.833
" 配位原子:","8d-Fe",": ",.9294,-7.1671,-1.5033
" SP coordinates=",.683,-.565,.167
8," ","8d-Fe","---","4c-Fe"," d===",2.5175
"8d-Fe",":",-.9294,.4374,1.5033," Z=",1
" SP coordinates=",.317,.565,.833
" 配位原子:","4c-Fe",": ",.2031,-1.6824,.7539
" SP coordinates=",.54,.25,.667
"4c-Fe",":",.2031,-1.6824,.7539," Z=",2
" SP coordinates=",.54,.25,.667
" 配位原子:","8d-Fe",": ",-.9294,-3.8023,1.5033
" SP coordinates=",.317,-.065,.833
" 配位原子:","8d-Fe",": ",-.9294,.4374,1.5033
" SP coordinates=",.317,.565,.833
9," ","4c-Fe","---","8d-Fe"," d===",2.5441
"4c-Fe",":",5.2818,-1.6824,5.2683," Z=",2
" SP coordinates=",1.54,.25,1.667
" 配位原子:","8d-Fe",": ",6.6886,-3.8023,5.2683
" SP coordinates=",1.817,-.065,1.667
" 配位原子:","8d-Fe",": ",6.6886,.4374,5.2683
" SP coordinates=",1.817,.565,1.667
"8d-Fe",":",6.6886,.4374,5.2683," Z=",1
" SP coordinates=",1.817,.565,1.667
" 配位原子:","4c-Fe",": ",5.2818,-1.6824,5.2683
" SP coordinates=",1.54,.25,1.667
10," ","8d-Fe","---","8d-Fe"," d===",2.5483
"8d-Fe",":",-.9294,2.9274,1.5033," Z=",1
" SP coordinates=",.317,.935,.833
" 配位原子:","8d-Fe",": ",.9294,3.8023,3.0111
" SP coordinates=",.683,1.065,1.167
"8d-Fe",":",.9294,3.8023,3.0111," Z=",1
" SP coordinates=",.683,1.065,1.167
" 配位原子:","8d-Fe",": ",-.9294,2.9274,1.5033
" SP coordinates=",.317,.935,.833
11," ","4c-Fe","---","4c-Fe"," d===",2.6476
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" SP coordinates=",1.46,1.75,-.667
" 配位原子:","4c-Fe",": ",2.3362,8.4121,-6.0177
" SP coordinates=",.96,1.75,-.833
" 配位原子:","4c-Fe",": ",7.4149,8.4121,-6.0177
" SP coordinates=",1.96,1.75,-.833
"4c-Fe",":",7.4149,8.4121,-6.0177," Z=",2
" SP coordinates=",1.96,1.75,-.833
" 配位原子:","4c-Fe",": ",4.8756,8.4121,-5.2683
" SP coordinates=",1.46,1.75,-.667
" 配位原子:","4c-Fe",": ",9.9543,8.4121,-5.2683
" SP coordinates=",2.46,1.75,-.667
12," ","8d-Fe","---","8d-Fe"," d===",2.6476
"8d-Fe",":",-1.6099,6.2923,-.7539," Z=",2
" SP coordinates=",.183,1.435,.333
" 配位原子:","8d-Fe",": ",-4.1493,6.2923,-1.5033
" SP coordinates=",-.317,1.435,.167
" 配位原子:","8d-Fe",": ",.9294,6.2923,-1.5033
" SP coordinates=",.683,1.435,.167
"8d-Fe",":",.9294,6.2923,-1.5033," Z=",2
" SP coordinates=",.683,1.435,.167
" 配位原子:","8d-Fe",": ",-1.6099,6.2923,-.7539
" SP coordinates=",.183,1.435,.333
" 配位原子:","8d-Fe",": ",3.4688,6.2923,-.7539
" SP coordinates=",1.183,1.435,.333
13," ","4c-Fe","---","8d-Fe"," d===",2.6665
"4c-Fe",":",-.2031,1.6824,-.7539," Z=",2
" SP coordinates=",.46,.75,.333
" 配位原子:","8d-Fe",": ",1.6099,.4374,.7539
" SP coordinates=",.817,.565,.667
" 配位原子:","8d-Fe",": ",1.6099,2.9274,.7539
" SP coordinates=",.817,.935,.667
"8d-Fe",":",1.6099,.4374,.7539," Z=",1
" SP coordinates=",.817,.565,.667
" 配位原子:","4c-Fe",": ",-.2031,1.6824,-.7539
" SP coordinates=",.46,.75,.333
14," ","8d-Fe","---","4c-Fe"," d===",2.6782
"8d-Fe",":",1.6099,-3.8023,5.2683," Z=",2
" SP coordinates=",.817,-.065,1.667
" 配位原子:","4c-Fe",": ",2.3362,-5.0473,3.0111
" SP coordinates=",.96,-.25,1.167
" 配位原子:","4c-Fe",": ",2.3362,-5.0473,7.5255
" SP coordinates=",.96,-.25,2.167
"4c-Fe",":",2.3362,-5.0473,3.0111," Z=",4
" SP coordinates=",.96,-.25,1.167
" 配位原子:","8d-Fe",": ",1.6099,-6.2923,.7539
" SP coordinates=",.817,-.435,.667
" 配位原子:","8d-Fe",": ",1.6099,-6.2923,5.2683
" SP coordinates=",.817,-.435,1.667
" 配位原子:","8d-Fe",": ",1.6099,-3.8023,.7539
" SP coordinates=",.817,-.065,.667
" 配位原子:","8d-Fe",": ",1.6099,-3.8023,5.2683
" SP coordinates=",.817,-.065,1.667
15," ","4c-Fe","---","4c-C"," d===",3.0175
"4c-Fe",":",-.2031,1.6824,-.7539," Z=",1
" SP coordinates=",.46,.75,.333
" 配位原子:","4c-C",": ",.711,1.6824,2.1218
" SP coordinates=",.64,.75,.97
"4c-C",":",.711,1.6824,2.1218," Z=",1
" SP coordinates=",.64,.75,.97
" 配位原子:","4c-Fe",": ",-.2031,1.6824,-.7539
" SP coordinates=",.46,.75,.333
16," ","4c-C","---","4c-C"," d===",3.2239
"4c-C",":",-.711,-1.6824,-6.6362," Z=",2
" SP coordinates=",.36,.25,-.97
" 配位原子:","4c-C",": ",-3.2504,-1.6824,-4.6498
" SP coordinates=",-.14,.25,-.53
" 配位原子:","4c-C",": ",1.8283,-1.6824,-4.6498
" SP coordinates=",.86,.25,-.53
"4c-C",":",1.8283,-1.6824,-4.6498," Z=",2
" SP coordinates=",.86,.25,-.53
" 配位原子:","4c-C",": ",-.711,-1.6824,-6.6362
" SP coordinates=",.36,.25,-.97
" 配位原子:","4c-C",": ",4.3677,-1.6824,-6.6362
" SP coordinates=",1.36,.25,-.97
17," ","8d-Fe","---","4c-C"," d===",3.5012
"8d-Fe",":",-1.6099,-.4374,-.7539," Z=",1
" SP coordinates=",.183,.435,.333
" 配位原子:","4c-C",": ",-.711,-1.6824,2.3926
" SP coordinates=",.36,.25,1.03
"4c-C",":",-.711,-1.6824,2.3926," Z=",2
" SP coordinates=",.36,.25,1.03
" 配位原子:","8d-Fe",": ",-1.6099,-2.9274,-.7539
" SP coordinates=",.183,.065,.333
" 配位原子:","8d-Fe",": ",-1.6099,-.4374,-.7539
" SP coordinates=",.183,.435,.333
18," ","8d-Fe","---","4c-C"," d===",3.5448
"8d-Fe",":",-1.6099,-.4374,-.7539," Z=",1
" SP coordinates=",.183,.435,.333
" 配位原子:","4c-C",": ",.711,1.6824,-2.3926
" SP coordinates=",.64,.75,-.03
"4c-C",":",.711,1.6824,-2.3926," Z=",2
" SP coordinates=",.64,.75,-.03
" 配位原子:","8d-Fe",": ",-1.6099,-.4374,-.7539
" SP coordinates=",.183,.435,.333
" 配位原子:","8d-Fe",": ",-1.6099,3.8023,-.7539
" SP coordinates=",.183,1.065,.333
19," ","4c-Fe","---","4c-C"," d===",3.5662
"4c-Fe",":",-.2031,1.6824,-.7539," Z=",1
" SP coordinates=",.46,.75,.333
" 配位原子:","4c-C",": ",3.2504,1.6824,.1354
" SP coordinates=",1.14,.75,.53
"4c-C",":",3.2504,1.6824,.1354," Z=",1
" SP coordinates=",1.14,.75,.53
" 配位原子:","4c-Fe",": ",-.2031,1.6824,-.7539
" SP coordinates=",.46,.75,.333
20," ","4c-C","---","4c-C"," d===",3.5831
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" SP coordinates=",.36,.25,.03
" 配位原子:","4c-C",": ",-3.2504,-1.6824,-4.6498
" SP coordinates=",-.14,.25,-.53
" 配位原子:","4c-C",": ",1.8283,-1.6824,-4.6498
" SP coordinates=",.86,.25,-.53
"4c-C",":",1.8283,-1.6824,-4.6498," Z=",2
" SP coordinates=",.86,.25,-.53
" 配位原子:","4c-C",": ",-.711,-1.6824,-2.1218
" SP coordinates=",.36,.25,.03
" 配位原子:","4c-C",": ",4.3677,-1.6824,-2.1218
" SP coordinates=",1.36,.25,.03
21," ","8d-Fe","---","8d-Fe"," d===",3.6345
"8d-Fe",":",-.9294,9.6571,6.0177," Z=",2
" SP coordinates=",.317,1.935,1.833
" 配位原子:","8d-Fe",": ",-3.4688,7.1671,5.2683
" SP coordinates=",-.183,1.565,1.667
" 配位原子:","8d-Fe",": ",1.6099,7.1671,5.2683
" SP coordinates=",.817,1.565,1.667
"8d-Fe",":",1.6099,7.1671,5.2683," Z=",2
" SP coordinates=",.817,1.565,1.667
" 配位原子:","8d-Fe",": ",-.9294,9.6571,6.0177
" SP coordinates=",.317,1.935,1.833
" 配位原子:","8d-Fe",": ",4.1493,9.6571,6.0177
" SP coordinates=",1.317,1.935,1.833
22," ","8d-Fe","---","8d-Fe"," d===",3.6414
"8d-Fe",":",-.9294,.4374,1.5033," Z=",1
" SP coordinates=",.317,.565,.833
" 配位原子:","8d-Fe",": ",.9294,-.4374,-1.5033
" SP coordinates=",.683,.435,.167
"8d-Fe",":",.9294,-.4374,-1.5033," Z=",1
" SP coordinates=",.683,.435,.167
" 配位原子:","8d-Fe",": ",-.9294,.4374,1.5033
" SP coordinates=",.317,.565,.833
23," ","8d-Fe","---","8d-Fe"," d===",3.6614
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" SP coordinates=",.183,.435,.333
" 配位原子:","8d-Fe",": ",1.6099,.4374,.7539
" SP coordinates=",.817,.565,.667
"8d-Fe",":",1.6099,.4374,.7539," Z=",1
" SP coordinates=",.817,.565,.667
" 配位原子:","8d-Fe",": ",-1.6099,-.4374,-.7539
" SP coordinates=",.183,.435,.333
24," ","4c-C","---","4c-C"," d===",3.663
"4c-C",":",1.8283,-1.6824,-.1354," Z=",2
" SP coordinates=",.86,.25,.47
" 配位原子:","4c-C",": ",3.2504,-5.0473,.1354
" SP coordinates=",1.14,-.25,.53
" 配位原子:","4c-C",": ",3.2504,1.6824,.1354
" SP coordinates=",1.14,.75,.53
"4c-C",":",3.2504,1.6824,.1354," Z=",2
" SP coordinates=",1.14,.75,.53
" 配位原子:","4c-C",": ",1.8283,-1.6824,-.1354
" SP coordinates=",.86,.25,.47
" 配位原子:","4c-C",": ",1.8283,5.0473,-.1354
" SP coordinates=",.86,1.25,.47
25," ","4c-C","---","4c-Fe"," d===",3.6676
"4c-C",":",1.8283,-1.6824,-.1354," Z=",2
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" 配位原子:","4c-Fe",": ",2.3362,-5.0473,-1.5033
" SP coordinates=",.96,-.25,.167
" 配位原子:","4c-Fe",": ",2.3362,1.6824,-1.5033
" SP coordinates=",.96,.75,.167
"4c-Fe",":",2.3362,1.6824,-1.5033," Z=",2
" SP coordinates=",.96,.75,.167
" 配位原子:","4c-C",": ",1.8283,-1.6824,-.1354
" SP coordinates=",.86,.25,.47
" 配位原子:","4c-C",": ",1.8283,5.0473,-.1354
" SP coordinates=",.86,1.25,.47
26," ","8d-Fe","---","4c-C"," d===",3.7086
"8d-Fe",":",-6.6886,-.4374,3.7605," Z=",1
" SP coordinates=",-.817,.435,1.333
" 配位原子:","4c-C",": ",-3.2504,-1.6824,4.379
" SP coordinates=",-.14,.25,1.47
"4c-C",":",-3.2504,-1.6824,4.379," Z=",2
" SP coordinates=",-.14,.25,1.47
" 配位原子:","8d-Fe",": ",-6.6886,-2.9274,3.7605
" SP coordinates=",-.817,.065,1.333
" 配位原子:","8d-Fe",": ",-6.6886,-.4374,3.7605
" SP coordinates=",-.817,.435,1.333
27," ","4c-Fe","---","4c-Fe"," d===",3.7095
"4c-Fe",":",4.8756,-5.0473,3.7605," Z=",2
" SP coordinates=",1.46,-.25,1.333
" 配位原子:","4c-Fe",": ",5.2818,-8.4121,5.2683
" SP coordinates=",1.54,-.75,1.667
" 配位原子:","4c-Fe",": ",5.2818,-1.6824,5.2683
" SP coordinates=",1.54,.25,1.667
"4c-Fe",":",5.2818,-8.4121,5.2683," Z=",2
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" 配位原子:","4c-Fe",": ",4.8756,-11.777,3.7605
" SP coordinates=",1.46,-1.25,1.333
" 配位原子:","4c-Fe",": ",4.8756,-5.0473,3.7605
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28," ","8d-Fe","---","4c-Fe"," d===",3.7251
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" 配位原子:","4c-Fe",": ",.2031,-1.6824,.7539
" SP coordinates=",.54,.25,.667
"4c-Fe",":",.2031,-1.6824,.7539," Z=",2
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" 配位原子:","8d-Fe",": ",-1.6099,-2.9274,3.7605
" SP coordinates=",.183,.065,1.333
" 配位原子:","8d-Fe",": ",-1.6099,-.4374,3.7605
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3. Fe3C的5158条键资料下载
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