What is Dispersion Measure and How is it Used in Astrophysics?

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    Dispersion Measure
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SUMMARY

Dispersion Measure (DM) quantifies the total column density of free electrons between an observer and a pulsar, expressed in units of pc/cm3. This unit facilitates calculations involving distances in parsecs, simplifying the division by stellar distances. The discussion clarifies that DM is distinct from velocity dispersion, which measures the mean velocity of galaxies and clusters. Understanding DM is crucial for astrophysics, particularly in pulsar timing and electron density calculations.

PREREQUISITES
  • Understanding of astrophysical concepts such as pulsars and electron density.
  • Familiarity with units of measurement in astrophysics, specifically parsecs and cubic centimeters.
  • Basic knowledge of dispersion and its applications in astrophysics.
  • Awareness of the distinction between dispersion measure and velocity dispersion.
NEXT STEPS
  • Research the mathematical formulation of Dispersion Measure in astrophysical contexts.
  • Learn about the role of free electrons in astrophysical phenomena.
  • Explore the implications of velocity dispersion in galaxy dynamics.
  • Investigate the practical applications of DM in pulsar timing and astrophysical observations.
USEFUL FOR

Astronomers, astrophysicists, and students studying pulsar timing and electron density in astrophysics will benefit from this discussion.

nenyan
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I read some papers on astrophysics and they discussed dispersion measure.
Is there any theoretic meaning of dispersion measure? And what does the unit pc/cm^3 mean?
 
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1pc/cm^3 = 30.857×10^21 m^−2
So there is 30*10^21 electrons per m^2?

Why we use pc/cm^3 instead of m^-2?
 
You can use any units you like as like as you are representing the same quantity.
The dimensions are inverse area - astronomers keep the "parsecs" separated out to make calculations using DM, which will involve dividing by the distance to a star (in parsecs), easier to do.
 
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Simon Bridge said:
You can use any units you like as like as you are representing the same quantity.
The dimensions are inverse area - astronomers keep the "parsecs" separated out to make calculations using DM, which will involve dividing by the distance to a star (in parsecs), easier to do.

Thank you for your reply.
 
Hello Nenyan,

Is it speaking of just dispersion or velocity dispersion using 'sigma?' Velocity dispersion is used to measure the mean velocity of galaxy and clusters. So which one it is?
 
shounakbhatta said:
Hello Nenyan,

Is it speaking of just dispersion or velocity dispersion using 'sigma?' Velocity dispersion is used to measure the mean velocity of galaxy and clusters. So which one it is?
There are some clues in the first post that tell you which was meant... i.e the word "measure" instead of "velocity" with the word "dispersion" but that could have been a mistake so looking further ... there's the units asked about in connection to dispersion measure as well (what are the units of velocity dispersion?) ... then there is the fact that he didn't immediately reply with "no no no that's not the one I meant" after my answer ;)

Note: as you know, in English, some nouns can have two words.
The sentence "what is dispersion measure?" is different from "what does dispersion measure?"
In the first case, "measure" is part of the noun.

To avoid this sort of confusion, one places the noun in quotes when asking about it:
"What is 'dispersion measure'?"
 
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