物理
已验证计算器，公式透明
Blackbody Peak Wavelength Calculator.
Calculates the wavelength at which a blackbody emits the most radiation, based on its temperature, using Wien's displacement law.
您的输入
工作原理
- 1
Enter the temperature of the blackbody in kelvin.
- 2
The calculator applies Wien's displacement law: λ_max = b / T.
- 3
The result is the peak wavelength in meters, with an additional value in nanometers.
2.897771955e-3 / temperature常见问题
What is Wien's displacement law?
It states that the wavelength of maximum emission from a blackbody is inversely proportional to its temperature: λ_max = b / T, where b ≈ 2.898 × 10⁻³ m·K.
Why does the peak wavelength shift with temperature?
As temperature increases, the peak emission moves to shorter wavelengths (higher frequencies). This is why hot objects glow blue-white while cooler ones glow red.
What is the typical temperature of the Sun's surface?
About 5,800 K, which gives a peak wavelength around 500 nm, in the green part of the visible spectrum.
工作原理
Calculates the wavelength at which a blackbody emits the most radiation, based on its temperature, using Wien's displacement law.
- Enter the temperature of the blackbody in kelvin.
- The calculator applies Wien's displacement law: λ_max = b / T.
- The result is the peak wavelength in meters, with an additional value in nanometers.
公式
此计算器背后的数学公式，供您核对结果。
Wien's Displacement Law
The peak wavelength λ_max is inversely proportional to the absolute temperature T. The constant b is approximately 2.898 × 10⁻³ m·K.
Example:
Input: T = 5800 K
Calculation: λ_max = 2.898e-3 / 5800
Result: ≈ 5.0 × 10⁻⁷ m (500 nm)
实际应用场景
此计算在日常生活中的应用。
Astronomy
Estimate the temperature of stars from their color or determine the peak emission wavelength of celestial bodies.
Example: A star with a peak at 400 nm has a temperature of about 7,245 K.
Thermal Imaging
Understand the infrared radiation emitted by objects at different temperatures for sensor design and calibration.
Example: A human body at 310 K peaks around 9.3 µm.
Lighting Design
Choose the color temperature of light sources to achieve desired visual effects.
Example: A warm white LED at 3000 K peaks near 966 nm.
提示与常见错误
Tips
- Use kelvin for temperature; Celsius or Fahrenheit must be converted first.
- The peak wavelength is in meters; multiply by 10⁹ to get nanometers.
- For very hot objects (e.g., 10,000 K), the peak falls in the ultraviolet range.
- Wien's law applies to ideal blackbodies; real objects may deviate slightly.
Common Mistakes to Avoid
- Forgetting to convert temperature to kelvin.
- Using the wrong value for Wien's constant (some sources use 2.9e-3).
- Confusing peak wavelength with total emitted power, which follows the Stefan-Boltzmann law.
假设与限制
- Use the stated inputs and units.
- Results are estimates for planning and education.
- Check measurements and source data before making an important decision.