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博客是学术的桃花源:再答网友Steel的Fe3C问题

已有 3964 次阅读 2009-5-10 15:42 |个人分类:EET电子理论|系统分类:科研笔记| 博客, 猜想, 匿名

博客是学术的桃花源:再答网友SteelFe3C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。

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

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"  SP coordinates=",1.54,.25,1.667

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"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

"4c-Fe",":",4.8756,8.4121,-5.2683,"          Z=",2

"  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

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17,"  ","8d-Fe","---","4c-C","      d===",3.5012

"8d-Fe",":",-1.6099,-.4374,-.7539,"         Z=",1

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"              SP coordinates=",.36,.25,1.03

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18,"  ","8d-Fe","---","4c-C","      d===",3.5448

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"     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

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20,"  ","4c-C","---","4c-C","      d===",3.5831

"4c-C",":",-.711,-1.6824,-2.1218,"          Z=",2

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"     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

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"  SP coordinates=",.817,1.565,1.667

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"             SP coordinates=",.317,1.935,1.833

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"             SP coordinates=",1.317,1.935,1.833

 

22,"  ","8d-Fe","---","8d-Fe","      d===",3.6414

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"  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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24,"  ","4c-C","---","4c-C","      d===",3.663

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25,"  ","4c-C","---","4c-Fe","      d===",3.6676

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26,"  ","8d-Fe","---","4c-C","      d===",3.7086

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27,"  ","4c-Fe","---","4c-Fe","      d===",3.7095

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28,"  ","8d-Fe","---","4c-Fe","     d===",3.7251

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29,"  ","8d-Fe","---","4c-Fe","      d===",3.8063

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30,"  ","8d-Fe","---","4c-C","      d===",3.845

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31,"  ","4c-C","---","4c-Fe","      d===",3.9727

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32,"  ","4c-Fe","---","4c-C","      d===",3.9788

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33,"  ","8d-Fe","---","8d-Fe","      d===",4.1085

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34,"  ","8d-Fe","---","8d-Fe","      d===",4.1292

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35,"  ","4c-C","---","4c-C","      d===",4.203

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36,"  ","8d-Fe","---","4c-C","      d===",4.2051

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37,"  ","8d-Fe","---","8d-Fe","      d===",4.2397

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38,"  ","8d-Fe","---","4c-Fe","      d===",4.2399

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39,"  ","8d-Fe","---","4c-C","      d===",4.2603

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40,"  ","4c-C","---","8d-Fe","      d===",4.4067

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41,"  ","4c-Fe","---","8d-Fe","      d===",4.4667

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42,"  ","4c-Fe","---","4c-C","      d===",4.4753

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43,"  ","8d-Fe","---","8d-Fe","      d===",4.4913

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44,"  ","4c-C","---","8d-Fe","      d===",4.5131

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45,"  ","4c-Fe","---","4c-Fe","      d===",4.5144

"4c-Fe",":",2.3362,1.6824,-6.0177,"          Z=",2

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"     配位原子:","4c-Fe",":  ",2.3362,1.6824,3.0111

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3. Fe3C5158条键资料下载

Fe3C的键参数(前147条键)

Fe3C的5158条键资料下载



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