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Refractive Index Converter

Convert between refractive indices and optical properties

Material Properties

Common optical glass used in lenses and prisms. Has relatively low dispersion compared to flint glass.

Common range: 1.0 (vacuum) to 2.42 (diamond)

Light Properties

Visible light: 380-780nm

Green light at approximately 550nm wavelength. The human eye is most sensitive to this wavelength under normal lighting conditions.

Calculated Optical Properties

Critical Angle:

41.14°

The minimum angle of incidence for total internal reflection

Speed of Light:

1.9723e+8 m/s

65.79% of speed in vacuum

Dispersion Characteristics:

Moderate dispersion - noticeable color separation

Practical Examples

Reflection at Normal Incidence:

When light hits the surface directly (perpendicular), 4.3% of the light is reflected back.

Refraction at 45° Incidence:

Air → Material: Refracted to 27.7°

Material → Air: Total internal reflection

Common Applications:

High-index eyeglassesPrecision opticsJewelry

Common Optical Examples

Understanding Refractive Index

Refractive index (n) is a dimensionless number that describes how light propagates through a medium. It is defined as the ratio of the speed of light in vacuum to the speed of light in the medium.

Key Concepts:

  • Snell's Law: n₁sin(θ₁) = n₂sin(θ₂)
  • Critical Angle: θc = sin⁻¹(n₂/n₁) where n₁ > n₂
  • Total Internal Reflection: Occurs when light tries to pass from a medium with higher n to one with lower n at an angle greater than the critical angle
  • Dispersion: Variation of refractive index with wavelength, causing different colors to bend at different angles

Practical Applications:

  • Lenses: Focus or diverge light in cameras, microscopes, eyeglasses
  • Fiber Optics: Light travels through total internal reflection
  • Gemology: Diamond's high refractive index (2.42) creates its brilliant sparkle
  • Prisms: Separate light into component colors due to dispersion
  • Medical Diagnostics: Refractometers measure concentration of solutions

Abbe Number (Dispersion Measure):

The Abbe number (V) measures how much a material disperses light into its component colors:

V = (nᴅ - 1) / (nF - nC)

Where nᴅ, nF, and nC are the refractive indices at specific wavelengths.

Higher Abbe numbers indicate lower dispersion:

  • Crown glass: V ≈ 60
  • Flint glass: V ≈ 30
  • Polycarbonate: V ≈ 30
  • Diamond: V ≈ 44

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Refractive Index Visualization

Crown glass is commonly used in eyeglasses and camera lenses. Its moderate refractive index provides good optical properties without excessive dispersion.

Critical Angle

41.140°

 

Reflectivity

4.3%

 

Brewster's Angle

56.659°

 

Current Light:

Green (550 nm)

Snell's Law:

n₁ sin(θ₁) = n₂ sin(θ₂)

Optical Effects Explained

Refraction

Light changes
direction when
entering medium
with a different
refractive
index.

The greater the
index
difference,
the more the
light
bends.

Dispersion

Different
wavelengths
(colors) bend
at
slightly
different
angles.

Higher refractive
index materials
typically show
greater
dispersion.

Total Internal Reflection

When light
tries
to exit a
higher
index material
at an angle
greater than
critical angle

it is completely
reflected
internally.
This is the
principle
behind fiber
optics.

Common Materials Refractive Index

MaterialRefractive Index
Vacuum1.000
Air1.000
Ice1.310
Water1.333
Ethanol1.360
Quartz1.460
Olive Oil1.470
Glycerine1.470
Acrylic1.490
Crown Glass1.520
Emerald1.570
Polycarbonate1.580
Flint Glass1.620
Sapphire1.770
Ruby1.770
Cubic Zirconia2.170
Diamond2.420

Click on a row to select that material

Optical Phenomena

Total Internal Reflection

Occurs when light travels from a medium with higher refractive index to one with lower index at an angle greater than the critical angle. This phenomenon is the basis for fiber optic communication, prisms, and certain gemstone cuts.

Dispersion

The separation of light into its component colors due to different refractive indices for different wavelengths. This creates the rainbow effect in prisms and the "fire" in diamonds.

Brewster's Angle

The angle of incidence at which light with a particular polarization cannot be reflected. This property is used in polarized sunglasses and optical filters.

About the Refractive Index Converter

Convert between refractive indices and optical properties All conversions run instantly in your browser and nothing you enter is sent to a server.

Common Conversion Formulas

FromToFormula
Refractive Index (n)Critical Angle (θc)θc = sin⁻¹(1/n)
Refractive Index (n)Speed of Light in Medium (v)v = c/n (where c is speed of light in vacuum)
Angle of Incidence (θ₁)Angle of Refraction (θ₂)n₁sin(θ₁) = n₂sin(θ₂) (Snell's Law)

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