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Because diamonds have a high index of refraction (about 2.3), the critical angle for the total internal reflection is only about 25 degrees. Incident light therefore strikes many of the internal surfaces before it strikes one less than 25 degrees and emerges.

## What is the critical angle when the diamond is in the air?

Detailed Solution. In air Diamond has a critical angle of 24.4°, this means that if the angle of incident ray is more than 24° it will not be refracted but will be reflected (total internal reflection) this is why diamond has such a high refractive index of 2.3.

## How does refraction work in a diamond?

This is the refraction. In essence, diamonds are tiny, complicated prisms; the light enters through the top, and then is angled around the inside of the diamond before being aimed back towards the top and out through the surface. This creates a rainbow effect (dispersion), and adds to the shine.

## How do you find the index of refraction for a diamond?

How to find the index of refraction

- Determine the speed of light in the analyzed medium. …
- Divide the speed of light by this value. …
- The obtained value is the refractive index of the medium.
- You can use this value to calculate the angle of refraction, using our Snell’s law calculator.

## How do you find the refraction angle?

How to Find Angle of Refraction

- What is refraction? …
- Step 1: Find the refractive index of air (n
_{1}). … - Step 2: Find the refractive index to glass (n
_{2}). … - Step 3: Transform the equation of Snell’s law so that the unknown value of the angle of refraction is on the left-side: sin r = (n
_{1}/n_{2})sin i.

## How do you find the critical angle of a diamond?

From the Table of indices of refraction, we see that n_{1d} = n_{diamond} = 2.4, while n_{1g} = n_{glass} = 1.5. n_{2} = n_{air} = 1.0. Using the definition of the critical angle provided above, we have θ_{c}_{,}_{diamond}_{/}_{air}= sin^{–}^{1} (n_{air}/n_{diamond}) = sin^{–}^{1} (0.417) = 24.6^{o}.