Why Straggling Appears - A Closer Look

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In summary, the conversation discusses the phenomenon of straggling in particle radiation, specifically the variation in range for particles of the same initial velocity. The cause of this variation is identified as statistical fluctuations in the number of collisions between the charged particle and atomic electrons. The Bethe-Bloch equation is mentioned as being based on these collisions, while multiple scattering is caused by the charged particle scattering off the nucleus. The book "The Atomic Nucleus" by Evans is also mentioned as a source for further explanation on range and energy straggling.
  • #1
abotiz
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Hi!

I would like some clarification about the straggeling phenomena, why the tip of the curve is pointy ( stiff ) att the topp for 1 particle, but for several particles the top is rounded off.
Straggeling.jpg


I founf Wikis explanation a little bit dry, or perhaps that is the only way to describe it?


http://en.wikipedia.org/wiki/Range_(particle_radiation)"

" [...] a range may be well defined for that radiation, depending on its energy and charge, as well as the ionisation energy of the stopping medium. Since the nature of such interactions is statistical, the number of collisions required to bring a radiation particle to rest within the medium will vary slightly with each particle, i.e. some may travel further and undergo less collisions than others. Hence, there will be a small variation in the range, known as straggling."

Thanks!
 
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  • #2
Here is a quote from Evans The Atomic Nucleus, (McGraw Hill) page 660

"Identical charged particles, all having the same initial velocity do not all have the same range. The observed ranges of individual particles from any monoenergetic source will show a normal (gaussian) distribution about the mean range. As early as 1912. Darwin correctly identified this distribution as due to statistical fluctuations in the individual collisions between the charged particle and atomic electrons, and named the effect range straggling."

Evans then goes on to derive both range and energy straggling statistically, on pages 660-667. few other authors go into as much detail as Evans.

As you may recall, the Bethe-Bloch dE/dx energy loss equation is based on many collisions between the charged particle and atomic electrons (and not the nucleus).

Multiple scattering IS caused by the charged particle scattering off the nucleus (Coulomb scattering).

Bob S
 
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  • #3
Thank you for you reply.

I understand this much better

Thanks!
 

1. What is straggling and why does it appear?

Straggling refers to the phenomenon where particles in a material are not uniformly distributed, resulting in some regions being more dense than others. It appears due to factors such as uneven mixing during production or natural variations in the material's composition.

2. How does straggling affect the properties of a material?

Straggling can affect a material's properties in various ways. For example, it can lead to variations in strength, electrical conductivity, or optical properties. It can also affect the material's overall performance and reliability.

3. Can straggling be controlled or reduced?

Yes, straggling can be controlled or reduced through various methods. These include optimizing production processes, carefully selecting and blending materials, and using advanced techniques such as annealing to homogenize the material's structure.

4. How is straggling measured and quantified?

Straggling is typically measured and quantified through techniques such as microscopy, spectroscopy, or scattering. These methods allow scientists to analyze the distribution and concentration of particles in a material and determine the extent of straggling.

5. What are the potential implications of straggling in practical applications?

Straggling can have significant implications in practical applications, particularly in industries such as electronics, aerospace, and manufacturing. It can lead to inconsistencies and defects in products, resulting in reduced performance, reliability, and potentially even safety hazards.

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