Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Radiation Energy Density

辐射能量密度

When the electromagnetic radiation in a region of space is at equilibrium with its surroundings, it can be described by the Planck radiation formula. The total energy radiated from an area in this region of space is given by the Stefan-Boltzmann law and the energy density associated with the radiation can be related to that law. In the development of the expression for the radiation from a hot surface, it was found that the radiated power is related to the energy density by the factor c/4 .

当空间某一区域内的电磁辐射与周围环境达到平衡时,可以由普朗克辐射公式描述。该区域内的面积所辐射的总能量由斯特藩-玻尔兹曼定律给出,而与辐射相关的能量密度可以与此定律相关联。在推导热表面辐射表达式的过程中发现,辐射功率与能量密度之间存在一个因子c/4的关系。
Where does the factor c/4 come from?
c/4 这个因子来自哪里?

The Stefan-Boltzmann law can then be related to the energy density by this factor, and the cumulative energy density for all wavelengths of radiation can be expressed as

斯蒂芬-玻尔兹曼定律可以由此因子与能量密度相关联,所有波长辐射的累积能量密度可以表示为
where

For a region of space where the temperature is T = K,

在温度为 T = K 的空间区域中,
中文译文中的待填/计算数值依次对应:1:t。实际数值以上方原输入框为准。

the radiation energy density is x 10^ J/m3.

辐射能密度是x 10^ J/m³。
中文译文中的待填/计算数值依次对应:1:eb 2:ep。实际数值以上方原输入框为准。

In astronomy and astrophysics texts, the energy density in radiation is typically written

where a is called the radiation constant and has the value

在天文学和天体物理学的文献中,辐射的能量密度通常写作,其中a称为辐射常数,其值为
Division of energy between radiation and matter
辐射与物质之间的能量分配
其中
Index

Blackbody radiation concepts
索引 黑体辐射概念
 
HyperPhysics***** Quantum Physics
HyperPhysics ***** 量子物理
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