已知金刚石立方晶胞参数a=356.7pm,写出其中碳原子的分数坐标,并计算c-c键键长和晶体密度

2025-04-06 17:08:43
推荐回答(2个)
回答1:

1、碳原子分数坐标:

顶点(0,0,0);

面心 (1/2,1/2,0);(0,1/2,1/2);(1/2,0,1/2);

内部4个 (1/4,1/4,1/4);(3/4,3/4,1/4);(3/4,1/4,3/4);(1/4,3/4,3/4);

2、C-C键的键长:a*3^0.5/4=154.5pm

3、密度:ρ=MZ/NaV=12*8/(6.022E23*3.567E-8³)=3.5125g/cm³(Na为阿伏伽德罗常数)。

扩展资料:

金刚石晶胞和石墨结构的联系:

1、金刚石与石墨同样由碳原子构成,是同素异形体。

2、由于碳原子的结合方式不同,两种物质的性质迥异。石墨中的碳原子是按sp²杂化的方式形成共价键的,在一个平面上以共价键结合成蜂窝状结构,层与层间靠比较弱的范德华力结合。

3、同一层内碳原子之间的结合比金刚石还强,所以石墨的熔点比金刚石更高。但层间结合较弱,很容易发生滑移,所以硬度很低。石墨中碳原子的4个价电子中的3个形成共价键,另外一个价电子在晶体中形成大π键,可以沿石墨层导电。

参考资料来源:百度百科-金刚石结构

回答2:

C原子分数坐标

顶点 0,0,0,;  面心 1/2,1/2,0; 0,1/2,1/2; 1/2,0,1/2;

内部4个 1/4,1/4,1/4,  3/4,3/4,1/4; 3/4,1/4,3/4; 1/4;3/4;3/4

C-C键的键长  a*3^0.5/4=154.5 pm

密度: 12*8/(6.022E23*3.567E-8^3)=3.5125g/cm3

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