Why do we use Local field correction?

In summary, the dielectric constant is a macroscopic quantity that averages the effects of many atoms/molecules, but there can be small deviations from that average. The local field correction takes into account these deviations by using a dielectric function that considers spatial dispersion, with epsilon being dependent on frequency and wavevector.
  • #1
hokhani
483
8
Knowing the dielectric constant of a medium we can earn the electric field at any point in that medium which is deferent from the applied external electric field. So why do we use the Local field correction?
 
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  • #2
The dielectric constant is a macroscopic quantity - you get this value if you average the effects of many atoms/molecules. If you look closer, you might find small deviations from that average.
 
  • #3
There are huge differences from the average.
E gets huge and changes sign near atoms.
 
  • #4
You can include local field corrections by working with a dielectric function which includes spatial dispersion. In the case of a homogeneous medium, this means that epsilon is a tensor which depends on frequency omega and wavevector k.
 
  • #5
DrDu said:
You can include local field corrections by working with a dielectric function which includes spatial dispersion. In the case of a homogeneous medium, this means that epsilon is a tensor which depends on frequency omega and wavevector k.[/QUOTE

By this, do you mean that we can also include local field correction in the dielectric constant?
 
  • #6
hokhani said:
[
By this, do you mean that we can also include local field correction in the dielectric constant?

I wrote dielectric function instead of dielectric constant as the effects cannot be included in a single number.
 

1. Why do we use Local field correction?

Local field correction is used to account for the effects of the surrounding environment on a particular measurement or observation. This correction is necessary because the presence of nearby objects or materials can alter the local electric field and distort the results of the measurement.

2. How does Local field correction work?

Local field correction is typically performed by incorporating an additional factor or equation into the original measurement or observation. This factor takes into account the influence of the surrounding environment and adjusts the results accordingly. It is often based on theoretical models or experimental data.

3. When is Local field correction necessary?

Local field correction is necessary whenever the measurement or observation is affected by the presence of nearby objects or materials. This is especially important in fields such as optics, where the local electric field can be significantly altered by the refractive index of the surrounding medium.

4. What are the benefits of using Local field correction?

The use of Local field correction can improve the accuracy and reliability of measurements and observations by accounting for the effects of the surrounding environment. It can also help to ensure consistency and comparability between different studies or experiments.

5. Are there any limitations to Local field correction?

While Local field correction is a useful tool in many scientific fields, it is not always applicable or effective. In some cases, the surrounding environment may be too complex or variable to accurately correct for, or the necessary data may not be available. Additionally, the correction may introduce its own sources of error.

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