Relationship between paramagnetic fields and distance

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SUMMARY

The discussion centers on the relationship between the strength of paramagnetic fields generated by gadolinium and their distance from the source. The user seeks to understand how the magnetization of gadolinium, specifically above its Curie point, affects the theoretical strength of paramagnetism at varying distances, particularly in the context of an auxiliary magnetic field. The conversation highlights the need to differentiate between internal paramagnetic fields and external auxiliary fields, emphasizing the distortion effects caused by the presence of paramagnetic materials.

PREREQUISITES
  • Understanding of paramagnetism and its properties
  • Familiarity with gadolinium and its behavior above the Curie point
  • Basic knowledge of magnetic field theory
  • Experience with magnetometer systems and their applications
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  • Research the mathematical models for calculating paramagnetic field strength at various distances
  • Explore the effects of auxiliary magnetic fields on paramagnetic materials
  • Investigate the properties of gadolinium in relation to its magnetization
  • Learn about the design and calibration of magnetometer systems for detecting paramagnetic effects
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Physicists, materials scientists, and engineers involved in magnetic field research, particularly those studying paramagnetic materials and their applications in sensor technology.

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Summary: What is the relationship between paramagnetic field strength at a given distance from the source?

Apologies if I have put this in the wrong topic. And apologies if the question is unclear, I am a biologist by background attempting to do some physics here!

Basically I am looking to define how a magnetic field generated by a paramagnetic substance (gadolinium above curie point) in the presence of an auxiliary magnetic field would deteriorate over distance. I have calculated the magnetisation of the gadolinium, and now want to work out the theoretical strength of the paramagnetism at a given distance from the source? I think I have found formulae for calculating this with regards to diamagnetic materials, but does this hold true for paramagnetism?

Experimental Background: I have developed a magnetometer system (cannot discuss due to IP) but essentially want to see where the sensor is sensing only the auxiliary magnetic field and areas where the sensor is picking up extra magnetism of the gadolinium. What I am trying to establish is how close the gadolinium needs to be to the sensor in order for me to sense these effects? (this is all being done on the nano-scale)
 
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Welcome to the PF. :smile:

I have a basic understanding of magnetic fields, but I'm no expert. I'm not sure it's correct to talk about an external "paramagnetic field". The paramagnetic field is internal to the paramagnetic matierial, I believe. The external field (that you call the auxiliary field) will be somewhat distorted due to the presence of the paramagnetic material. Is that what you are calling the "paramagnetic field"?

https://en.wikipedia.org/wiki/Paramagnetism
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