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第三百五十九章 普朗克的黑体辐射(量子力学)(1 / 1)

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有热就有原子振动,原子震动就会有辐射。

那么热的东西必然有辐射,如果一个物体不辐射,那么物体的绝对温度为0,但没有温度绝对为0的无题,所以任何存在的物体都必定会辐射。

所以温度和辐射之间,必定有个公式。

而得到这个公式的实验,叫黑体辐射,黑体就是不反射的意思,就是辐射不是来源外界反射这个干扰的因素而来。

之前从经典物理学出发推导出的维恩定律在低频区域与实验数据不相符,而在高频区域,从经典物理学的能量均分定理推导出瑞利-金斯定律又与实验数据不相符,在辐射频率趋向无穷大时,能量也会变得无穷大,这种结果被称作为“紫外灾变”。

普朗克需要解决这个不合理的紫外灾难的问题。

这是个哲学问题。因为日取其半万世不竭的道理深深可入人类骨髓。

但是如果说光子,也就是电磁波的频率的分布万世不竭,那一个很普通的东西,但要放在此处,就会变成波长越短的,频率越高的,会越来越多,即使是越来越少,但也是加不完的。

“难道,一个普通的黑体辐射,会放出无穷能量?”

“但是为什么维恩和瑞利会得出局部正确,但不相容的方程?究竟谁的才对?”

“难道,两个人局部的正确,而中间能合出一个图像,有一个最大值?”

1900年,普朗克用自己灵光一闪构造的内能-熵的关系,推导出了能描述黑体辐射的能量密度对辐射波长(频率)依赖关系的公式。进一步地,他又想根据玻尔兹曼的那套经典统计的把戏,即计算N个球放到P个盒子里共有多少种不同的放法,同样推导出这个公式。这样,他就必须假设某个频率的辐射对应的内能,必须是他此前引入的具有能量量纲的量的整数倍。这就是说,是频率为的辐射的基本能量单位。此一假设被看作是量子力学的开端,而普朗克常数h也成了量子力学的标志。

“原来波长是有最小值的,这样就能解释通维恩和瑞利的方程了,但是波长有最小值,这一点让人难以接受,世界上最么会有最小的能量?”

喜欢数学心请大家收藏:数学心本站更新速度全网最快。

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