Scherrer's Equation: Theta Units Explained

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In summary, the conversation discusses the use of theta in Scherrer's equation and clarifies that it is the cosine of theta that is used, not just theta itself. The correct interpretation is clear and it is stated that the theta measurement is taken in degrees. The conversation also confirms that the cosine function is understood and that the speaker is analyzing XRD results to find FWHM using theta. The conversation concludes with the reminder that the speaker should already know the answer to their question.
  • #1
Humaira Khalil
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hi
is theta used in degree or radians in Scherrer's equation..
 
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  • #2
What appears is not ##\theta## but ##\cos \theta##. It should be rather clear how this is to be interpreted.
 
  • #3
we need to take cosine of "THETA". Is it measured in degrees or radian,,, what is think is theta is in degrees, but confused...
 
  • #4
Do you understand what the cosine function does?
 
  • #5
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...
 
  • #6
Humaira Khalil said:
YESS!
Then you should already know the answer to your question.
 
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  • #7
Orodruin said:
Then you should already know the answer to your question.
thanks :wink:
 

FAQ: Scherrer's Equation: Theta Units Explained

1. What is Scherrer's Equation?

Scherrer's Equation is a mathematical formula used to calculate the average size of particles in a material based on the broadening of X-ray diffraction peaks.

2. How is Scherrer's Equation used in scientific research?

Scherrer's Equation is used to determine the size of particles in a material, which is important in fields such as material science, chemistry, and physics. It can also be used to study the crystalline structure of materials.

3. What are "Theta Units" in Scherrer's Equation?

Theta Units, also known as 2θ units, are the units used to measure the angle of diffraction in X-ray diffraction experiments. They are used in Scherrer's Equation to calculate the average particle size.

4. How accurate is Scherrer's Equation?

Scherrer's Equation is considered to be a rough estimation of particle size, with an error margin of about 10-20%. It is best used for qualitative rather than quantitative measurements.

5. Are there any limitations to using Scherrer's Equation?

Yes, there are a few limitations to using Scherrer's Equation. It assumes that the particles are spherical and randomly oriented, and that there is no interaction between particles. It also does not take into account the presence of impurities or defects in the material.

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