Show interparticle spacing is much greater than wavelength

In summary, interparticle spacing refers to the distance between particles in a material or substance and can be determined by measuring the average distance between particles using various methods. The relationship between interparticle spacing and wavelength is that when the spacing is much greater than the wavelength, the material is transparent to electromagnetic waves. This is important in understanding the behavior of materials when exposed to electromagnetic waves. Examples of materials with interparticle spacing much greater than the wavelength include glass, water, and air.
  • #1
zeeshahmad
27
0
I have a past paper question from statistical physics:
81p24j3.jpg


By assuming that ##\hbar^2 k^2=p^2##, I arrived at the result:
The interparticle spacing, ##a^3 =\frac{V}{N}## is
$$ a^3 >> e^{-\frac{p^2}{2mk_B T}} \lambda_{deB}^3$$

Is my assumption correct? and does the result complete the purpose of the question?
 
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  • #2
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Related to Show interparticle spacing is much greater than wavelength

1. What is interparticle spacing?

Interparticle spacing refers to the distance between particles in a material or substance.

2. How do you determine the interparticle spacing?

The interparticle spacing can be determined by measuring the average distance between particles in a material using various methods such as microscopy or X-ray diffraction.

3. What is the relationship between interparticle spacing and wavelength?

The relationship between interparticle spacing and wavelength is that when the interparticle spacing is much greater than the wavelength, it means that the particles are widely spread out and the material is considered transparent to electromagnetic waves.

4. Why is it important to show that interparticle spacing is much greater than the wavelength?

This is important because it helps us understand the behavior of materials when exposed to electromagnetic waves. When the interparticle spacing is much greater than the wavelength, the material is transparent and allows light to pass through easily.

5. What are some examples of materials with interparticle spacing much greater than the wavelength?

Examples of materials with interparticle spacing much greater than the wavelength include glass, water, and air. These materials are considered transparent to electromagnetic waves.

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