Scherrer's Equation: Theta Units Explained

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  • Thread starter Thread starter Humaira Khalil
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SUMMARY

In the discussion regarding Scherrer's Equation, it is established that the angle theta (θ) is utilized in radians when calculating the cosine function, specifically represented as cos(θ). This clarification is crucial for accurate analysis of X-ray diffraction (XRD) results. The context of the discussion centers around using Origin Software to determine the Full Width at Half Maximum (FWHM), which directly relies on the correct interpretation of theta.

PREREQUISITES
  • Understanding of trigonometric functions, specifically cosine.
  • Familiarity with Scherrer's Equation and its application in crystallography.
  • Knowledge of X-ray diffraction (XRD) techniques.
  • Experience with Origin Software for data analysis.
NEXT STEPS
  • Research the mathematical derivation of Scherrer's Equation.
  • Learn about the significance of Full Width at Half Maximum (FWHM) in XRD analysis.
  • Explore advanced features of Origin Software for XRD data interpretation.
  • Study the implications of using degrees versus radians in trigonometric calculations.
USEFUL FOR

Researchers, crystallographers, and data analysts involved in X-ray diffraction studies and those utilizing Origin Software for data analysis will benefit from this discussion.

Humaira Khalil
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hi
is theta used in degree or radians in Scherrer's equation..
 
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What appears is not ##\theta## but ##\cos \theta##. It should be rather clear how this is to be interpreted.
 
we need to take cosine of "THETA". Is it measured in degrees or radian,,, what is think is theta is in degrees, but confused...
 
Do you understand what the cosine function does?
 
Orodruin said:
Do you understand what the cosine function does?
YESS! actually I'm analyzing XRD results, from Origin Software... to find FWHM this theta is required...
 
Humaira Khalil said:
YESS!
Then you should already know the answer to your question.
 
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Orodruin said:
Then you should already know the answer to your question.
thanks :wink:
 

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