What is the equation for calculating crystal length using index of refraction?

In summary, to calculate the length of a crystal, you need to measure its height, width, and depth and use the formula L = ∛(h² + w² + d²) where L is the length and h, w, and d are the three dimensions. The most commonly used unit of measurement for crystal length is millimeters (mm), but other units may also be used. It is not possible to calculate the length of a crystal if only one dimension is known. Impurities can affect the calculation by changing the dimensions of the crystal. The formula for calculating crystal length has limitations and may not be accurate for irregularly shaped crystals or those with complex structures. It also does not account for any imperfections or defects in
  • #1
Leggit9
2
0
Member warned that the homework template must be used
Hey,

The question sounds like this: I have 100 fs 400 nm pulse passing through the CaF2 crystal. After passing, it gets twice wider (200 ps). What is the length of the crystal?

Can anyone share the equation which would help me to calculate this?

Thank you in advance!
 
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  • #2
The dispersion?
 
  • #3
DrDu said:
The dispersion?

n = 1.4419 @ 400nm
 
  • #4
That's the index of refraction, not it's dispersion.
 

1. How do you calculate the length of a crystal?

To calculate the length of a crystal, you need to measure the three dimensions of the crystal: height, width, and depth. Then, use the formula L = ∛(h² + w² + d²) to calculate the length, where L is the length and h, w, and d are the three dimensions.

2. What unit of measurement is used for crystal length?

The most commonly used unit of measurement for crystal length is millimeters (mm). However, other units such as centimeters (cm) or micrometers (μm) may also be used depending on the size of the crystal.

3. Can the length of a crystal be calculated if only one dimension is known?

No, all three dimensions (height, width, and depth) are needed to calculate the length of a crystal. If only one dimension is known, it is not possible to accurately determine the length of the crystal.

4. How do impurities affect the calculation of crystal length?

Impurities can affect the calculation of crystal length by changing the dimensions of the crystal. If the impurities are not evenly distributed, they can distort the shape of the crystal and make it difficult to accurately measure the dimensions.

5. Are there any limitations to using the formula for calculating crystal length?

Yes, the formula for calculating crystal length assumes that the crystal is a perfect cube or rectangular prism. It may not be accurate for irregularly shaped crystals or crystals with complex structures. Additionally, the formula does not take into account any imperfections or defects in the crystal structure.

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