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。

Peak of Blackbody Radiation

黑体辐射的峰值
To find the peak of the radiation curve as indicated in Wien's displacement law, it is necessary to take the derivative of the Planck radiation formula with respect to wavelength. Setting this derivative equal to zero to determine the maximum gives the equation
Show
显示

This is a trancendental equation which must be solved numerically. It gives the result:

Calculation
计算

为找到 Wien 定律中辐射曲线的峰值，必须对 Planck 辐射公式对波长求导。将此导数设为零以确定最大值，得到方程。这是一个超越方程，必须数值求解。它给出的结果为：
 Index

Blackbody radiation concepts
索引 黑体辐射概念
 
HyperPhysics***** Quantum Physics
HyperPhysics ***** 量子物理
R Nave
 Go Back
返回


/Users/RodNave/Documents/HyperPhysics/hbase/quantum/imgqua/wiend5.png


Finding the Blackbody Peak

寻找黑体峰值
From the Planck radiation formula

the evaluation of the maximum yields Wien's displacement law
从普朗克辐射公式出发，求得最大值的结果给出了维恩位移定律
 To find the peak of the blackbody radiation curve, we take the derivative:


Simplifying gives the maximum condition:

which must be solved numerically to give:


为找到黑体辐射曲线的峰值，我们对求导：化简后得到最大值条件：必须通过数值方法求解以得到：
 Index

Blackbody radiation concepts
索引 黑体辐射概念
 
HyperPhysics***** Quantum Physics
HyperPhysics ***** 量子物理
R Nave
 Go Back
返回










/Users/RodNave/Documents/HyperPhysics/hbase/quantum/imgqua/wiend5.png（专名或术语）