What is a Quadrupole? Antiferroquadrupolar Ordering State Explained

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In summary, the individuals in the conversation are discussing the concepts of quadrupole and antiferroquadrupolar ordering states. The speaker is a college student with limited access to information on this specialized subject, and they are seeking clarification on the definition and potential similarities to antiferromagnetic ordering.
  • #1
mikeey
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hi, could anyone tell what a
quadrupole
quadrupolar ordering state
or an antiferroquadrupolar ordering state is?

i am a collage student, i have access to a collage library but can find very little.
it seems to be a very specialist subject and information is hard to come by.

i understand what antiferromagnetic ordering is, and i expect antiferroquadrupolar is the
same but with molecules that possesses 4 dipoles or something like that?
am i even close?
 
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  • #2
"collage"--noun: a technique of composing a work of art by pasting on a single surface various materials not normally associated with one another, as newspaper clippings, parts of photographs, theater tickets, and fragments of an envelope.

Sorry, I couldn't resist. Anyways, A quadrupole is typically the third term in an expansion of the electric field (or other field) of an extended body. Usually we are interested in the quadrupole term when the first two terms (monopole and dipole) are zero. For example, consider a square with charges at the corners of the square. If the charges alternate in sign as we go around the square then the system has zero monopole and dipole moment, but a non-zero quadrupole momentum.

For more info you could try google.
 
  • #3
A better starting place than Google is any standard undergrad E&M text (e.g., Griffiths).
 

1. What is a quadrupole?

A quadrupole is a type of electric or magnetic charge that has four poles instead of the usual two poles found in dipoles. It is a measure of the distribution of charge or magnetism within a molecule or atom.

2. How is a quadrupole different from a dipole?

A dipole has two poles, while a quadrupole has four poles. Additionally, a dipole has a net charge or magnetism, while a quadrupole does not. Instead, a quadrupole has a distribution of charge or magnetism which results in a non-uniform electric or magnetic field.

3. What is antiferroquadrupolar ordering state?

Antiferroquadrupolar ordering state is a type of magnetic ordering in which the quadrupole moments of individual molecules or atoms align in an alternating pattern, resulting in a net zero quadrupole moment for the entire material.

4. How is antiferroquadrupolar ordering state different from ferroquadrupolar ordering state?

In ferroquadrupolar ordering state, the quadrupole moments of individual molecules or atoms align in the same direction, resulting in a net non-zero quadrupole moment for the entire material. This is different from antiferroquadrupolar ordering state, in which the quadrupole moments align in an alternating pattern, resulting in a net zero quadrupole moment.

5. What is the significance of antiferroquadrupolar ordering state in materials?

Antiferroquadrupolar ordering state can have important implications for the physical properties of materials. For example, it can lead to novel magnetic behaviors and can influence the electronic and thermal transport properties of a material. Understanding and controlling antiferroquadrupolar ordering state is important for developing new materials with specific properties for various applications.

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