Spin Hamiltonian Explained: Basics & Overview

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  • Thread starter Thread starter Rajini
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    Hamiltonian Spin
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Discussion Overview

The discussion centers around the concept of the Spin Hamiltonian, particularly in the context of its application in Mössbauer spectroscopy. Participants seek to clarify the definition, types, and theoretical background of Spin Hamiltonians, as well as their relevance in analyzing spectral data.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant requests a detailed explanation of the Spin Hamiltonian from the basics.
  • Another participant notes the existence of various types of spin systems and Hamiltonians, mentioning a specific Hamiltonian for a single spin 1/2 system.
  • A different participant questions whether the Hamiltonian in discussion refers to the spin-spin (Heisenberg) Hamiltonian or the interaction between a spin and an applied magnetic field.
  • A participant working with Mössbauer spectroscopy explains the use of Spin Hamiltonians to fit spectra and analyze the presence of different iron species, expressing a desire to understand the underlying theory.
  • Several references to research papers and books on Mössbauer spectroscopy are provided to assist in understanding the theoretical background.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the specific type of Spin Hamiltonian being discussed, and multiple viewpoints regarding its definition and application remain present.

Contextual Notes

The discussion highlights the need for clarity on the definitions and types of Spin Hamiltonians, as well as the theoretical assumptions underlying their use in spectroscopy. Specific mathematical forms and applications are mentioned, but no consensus on a singular definition is established.

Rajini
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Does any willing to explain in detail from basics about what is this 'Spin Hamiltonian'.??
thanks
 
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I am not sure what you are asking. There are many types of spin-systems and quite a few different hamiltonians that can be used to model them.
However, the simplest Hamiltonian is just
[itex]H=\frac{1}{2}\hbar \omega \sigma_z[/itex]
which is valid for a single spin 1/2 system with a level separation of [itex]\hbar \omega[/itex] in a diagonal basis.
Is this the hamiltonian you are asking about?
 
Rajini, at the very least you can write down the Hamiltonian, so there is no confusion about that. Is this the spin-spin (Heisenberg) Hamiltonian, or the interaction between a spin S and an applied field B, or something else?
 
Yes..I work with Mössbauer spectroscopy...there one can fit the spectra using spin hamiltonians..this help to analyze the spectra (measurement taken with the application of external magnetic field or sometimes without magnetic field)...just to find whether how many spieces are present..whether Fe3+ or Fe2+ or both...i just need to know the theory behind it..yes there are several software to fit..its easy...but i need to know theory..some research papers or some books would be helpful...thanks
 
* Mössbauer Spectroscopy and its Applications, T E Cranshaw, B W Dale, G O Longworth and C E Johnson, (Cambridge Univ. Press: Cambridge) 1985
* Mössbauer Spectroscopy, D P E Dickson and F J Berry, (Cambridge Univ. Press: Cambridge) 1986
* The Mössbauer Effect, H Frauenfelder, (Benjamin: New York) 1962
* Principles of Mössbauer Spectroscopy, T C Gibb, (Chapman and Hall: London) 1977
* Mössbauer Spectroscopy, N N Greenwood and T C Gibb, (Chapman and Hall: London) 1971
* Chemical Applications of Mössbauer Spectroscopy, V I Goldanskii and R H Herber ed., (Academic Press Inc: London) 1968
* Mössbauer Spectroscopy Applied to Inorganic Chemistry Vols. 1-3, G J Long, ed., (Plenum: New York) 1984-1989
* Mössbauer Spectroscopy Applied to Magnetism and Materials Science Vol. 1, G J Long and F Grandjean, eds., (Plenum: New York) 1993
 

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