Dielectric constant and index of refraction

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Discussion Overview

The discussion centers around the relationship between the dielectric constant and the index of refraction for water, exploring the apparent discrepancy between the values reported for these properties. The scope includes theoretical considerations and frequency dependence of these measurements.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes confusion regarding the dielectric constant of water being 80 and the index of refraction being 1.33, questioning what might be missing in the understanding.
  • Another participant explains that both the dielectric constant and the index of refraction are frequency dependent, suggesting that the values are not for the same frequency and that the refractive index likely corresponds to visible light.
  • A further contribution indicates that typical values for dielectric constant are measured at low frequencies (kHz), while the refractive index is measured at much higher frequencies (hundreds of THz), which could account for discrepancies.
  • One participant adds that the dielectric constant also varies with temperature, providing a specific example where the dielectric constant is 80 at 80°F and drops to approximately 53 at 212°F.

Areas of Agreement / Disagreement

Participants generally agree that frequency dependence plays a significant role in the values of dielectric constant and index of refraction, but there remains no consensus on the specific values or their applicability across different conditions.

Contextual Notes

Limitations include the dependence of dielectric constant and refractive index on frequency and temperature, as well as the lack of clarity on the specific conditions under which the reported values were measured.

Who May Find This Useful

This discussion may be useful for those interested in the properties of materials in optics, particularly in understanding the frequency dependence of dielectric properties and their implications in practical applications.

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I'm a little confused. My source says the dielectric constant for water is 80. Then I have the equation that gives the index of refraction as [itex]n=\sqrt{\epsilon_r}[/itex] (since it isn't very magnetic). But the index of refraction for water is 1.33. What am I missing?
 
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They are both frequency dependent terms. However:

[tex]n(\omega) \equiv \sqrt{\epsilon(\omega)}[/tex]

So your value are obviously not for the same frequency, you need to figure out which one is correct for the given frequency - I would guess refractive index implies the frequency is for visible light.

And your dielectric constant = 80 is relevant for a completeley different frequency ie not visible light.
 
Most quoted values for dielectric constant are for frequencies in the kHz, whereas visible light is hundreds of THz, so don't be surprised if there is a disrepancy. Refractive index values are measured at a standard optical frequency (Sodium D line perhaps, I'm not too sure).

What value you use obviously depends on what you are trying to solve.

Claude.
 
Also varies with temperature.
DC = 80 corresponds to 80*F.(using radio frequency, Mhz). At 212*F, dielectric constant is ~53 for water.
:wink:
 

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