Understanding Deviations in Wien's Law for Long Wavelengths

In summary, the conversation discusses how Wien's law is accurate for small values of energy and short wavelengths, but not for larger wavelengths. This was confirmed by O Lummer and E Pringsheim. There was also a mistranslation or misinterpretation of Planck's speech, where he actually stated that Wien's law is accurate for small values of energy and short wavelengths, but not for larger wavelengths.
  • #1
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While Wien's law was confirmed for small values of energy, i.e. for short waves, O Lummer and E Pringsheim found large deviations in the case of long waves.

In his nobel laureate speech.

I thought "small values of energy" <=> "long wavelengths"? And for a body of a low temperature T, the maximum is for long wavelengths, so it can't be that either.

What did he maen?
 
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  • #2
Planck spoke German, not English. This is a mistranslation / misinterpretation of his speech. Here's the translation at the Nobel Prize site, http://nobelprize.org/nobel_prizes/physics/laureates/1918/planck-lecture.html
Whilst for small values of the energy and for short waves, Wien's law was satisfactorily confirmed, noteworthy deviations for larger wavelengths were found, ...​
Note the use of "and" rather than "i.e.".

Wien's law describes the spectrum of black body radiation. While it is accurate at short wave lengths (high frequencies), it is not accurate at low frequencies. Wien's law is a good approximation for black bodies that are radiating a relatively small amount of total energy. When the total energy output gets larger, the failure of Wien's law to predict contributions by low frequency waves becomes apparent.
 
  • #3
Thank you! :)
 

1. What is the "Error in Quote from Planck"?

The "Error in Quote from Planck" refers to a discrepancy in the reported value of Planck's constant, a fundamental physical constant that relates the energy of a photon to its frequency. This error was discovered in 2014 when a team of scientists at the National Institute of Standards and Technology (NIST) measured the value of Planck's constant with greater precision.

2. How significant is the error in Planck's constant?

The error in Planck's constant is significant because it affects our understanding of fundamental physical phenomena, such as the relationship between energy and frequency. The new measurement by NIST is more precise and has reduced the uncertainty in Planck's constant by a factor of 3. This will have implications for various fields of science, including quantum mechanics and nanotechnology.

3. How was the error in Planck's constant discovered?

The error in Planck's constant was discovered when a team of scientists at NIST conducted a series of experiments to measure the value of Planck's constant using a device called the Watt balance. This device measures the relationship between electrical and mechanical energy, and is used to redefine the kilogram, which is currently defined by a physical artifact. The results of these experiments showed a discrepancy in the reported value of Planck's constant.

4. What was the previous value of Planck's constant and what is the new value?

The previous value of Planck's constant was 6.62606957 x 10^-34 joule seconds, with an uncertainty of 0.00000029 x 10^-34 joule seconds. The new value, as reported by NIST in 2014, is 6.62606983 x 10^-34 joule seconds, with an uncertainty of 0.00000011 x 10^-34 joule seconds. This is a significant improvement in precision and has resulted in a smaller uncertainty in the value of Planck's constant.

5. What are the implications of the new value of Planck's constant?

The new, more precise value of Planck's constant has implications for various fields of science, including quantum mechanics, nanotechnology, and precision measurements. It will also have an impact on the redefinition of the kilogram, which is currently based on a physical artifact. The new value of Planck's constant will also lead to more accurate and precise calculations and measurements in various scientific fields.

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