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ZANCAI

新虫 (著名写手)

[求助] 求一个公式的推导过程。

如何推倒公式压电材料的一个性质:极化强度=表面电荷密度。万分感谢。
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xhan

银虫 (小有名气)

电动力学里有,用麦克斯韦方程。
2楼2012-11-01 09:46:49
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digghost

木虫 (著名写手)

【答案】应助回帖

★ ★
感谢参与,应助指数 +1
华丽的飘过: 金币+2, 3q 2012-11-01 12:58:07
这好像是一个定义式吧,放在那里都成立的呀。极化强度不就是单位面积的极化么,而极化不就是正负电荷分开么?
呵呵了
3楼2012-11-01 11:07:58
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ZANCAI

新虫 (著名写手)

引用回帖:
2楼: Originally posted by xhan at 2012-11-01 09:46:49
电动力学里有,用麦克斯韦方程。

可否详细说下推导过程啊?
4楼2012-11-01 21:23:22
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ZANCAI

新虫 (著名写手)

可否详细说说推导过程啊
5楼2012-11-01 21:24:19
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ZANCAI

新虫 (著名写手)

???????:
3?: Originally posted by digghost at 2012-11-01 11:07:58
????????????????????????????????????????????????λ???????????????????????????????????

?????????????????????????poolarization????????????????????????surface charge density??

????????????????????r???????w??????O?????s????????r??????????@?????????????????????a???????????????????䶮?@?N?????????a???O????F??Q?顰?????Ч???????????Ч?????|????Cе???D?????????^???

The change in polarization appears as a variation of surface charge density upon the crystal faces, i.e. as a variation of the electrical field extending between the faces, since the units of surface charge density and polarization are the same, [C/m2] = [Cm/m3]. However, piezoelectricity is not caused by a change in charge density on the surface, but by dipole density in the bulk.
6楼2012-11-01 21:34:14
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hawkchai

木虫 (正式写手)

在kittle的固体物理导论中文第八版中,第16章,311页脚注2,有关于这个的推导。
7楼2012-11-01 21:35:48
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ZANCAI

新虫 (著名写手)

???????:
2?: Originally posted by xhan at 2012-11-01 09:46:49
?綯??????У???????Τ?????

?????????????????????????poolarization????????????????????????surface charge density??

????????????????????r???????w??????O?????s????????r??????????@?????????????????????a???????????????????䶮?@?N?????????a???O????F??Q?顰?????Ч???????????Ч?????|????Cе???D?????????^???

The change in polarization appears as a variation of surface charge density upon the crystal faces, i.e. as a variation of the electrical field extending between the faces, since the units of surface charge density and polarization are the same, [C/m2] = [Cm/m3]. However, piezoelectricity is not caused by a change in charge density on the surface, but by dipole density in the bulk.
8楼2012-11-01 21:36:21
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ZANCAI

新虫 (著名写手)

引用回帖:
7楼: Originally posted by hawkchai at 2012-11-01 21:35:48
在kittle的固体物理导论中文第八版中,第16章,311页脚注2,有关于这个的推导。

你好,书我下载了,但没有找到你说的推导哦?
9楼2012-11-02 00:07:08
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夕阳西下

金虫 (著名写手)

【答案】应助回帖

感谢参与,应助指数 +1
空间电荷:nql*ds=P*ds,则;面电荷密度*ds=P*ds.
10楼2012-11-02 13:46:32
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