Mineral Identification Simulator: Polarized Light and Interference Colors

simulator intermediate ~10 min
Loading simulation...
First-order yellow — Γ = 270 nm, consistent with quartz or plagioclase

At birefringence 0.009 and 30 μm thickness, retardation is 270 nm — first-order yellow on the Michel-Lévy chart, consistent with quartz, plagioclase feldspar, or low-birefringence pyroxene.

Formula

Γ = δ × d (retardation in nm)
Relief = n_mineral - n_medium

Seeing Through Stone

Petrographic microscopy transforms a sliver of rock 30 micrometers thick into a window onto mineralogy. When polarized light passes through crystalline minerals, their anisotropic atomic structures split the beam into two rays with different velocities. The resulting interference patterns — vibrant colors visible between crossed polarizing filters — are as diagnostic as fingerprints, enabling rapid identification of minerals without chemical analysis.

The Michel-Lévy Chart

Auguste Michel-Lévy's color chart, first published in 1888, remains the essential tool of optical mineralogy. By relating retardation (birefringence times thickness) to interference colors, it turns a subjective color observation into a quantitative measurement. At the standard 30 μm thickness, each mineral produces a characteristic color: quartz shows pale gray, olivine shows vivid second-order colors, and calcite displays high-order pastels.

Relief and Refractive Index

In plane-polarized light, minerals with refractive indices much higher or lower than the mounting medium appear to stand out in sharp relief — their edges are clearly defined by dark Becke lines. Garnet, with its high refractive index near 1.78, is immediately obvious even before switching to crossed polars. This relief observation is often the first step in mineral identification, narrowing the possibilities before interference colors and extinction behavior provide final confirmation.

From Thin Section to Tectonic History

Optical mineralogy does more than name minerals. Inclusion trails record growth during deformation, chemical zoning reveals changing fluid conditions, and deformation features like undulatory extinction and subgrain boundaries document the stress history of the rock. A single thin section can reveal the full metamorphic evolution of a mountain belt — from burial through peak metamorphism to exhumation at the surface.

FAQ

What is birefringence in minerals?

Birefringence is the difference between a mineral's maximum and minimum refractive indices (n_γ - n_α). When polarized light enters a birefringent crystal, it splits into two rays traveling at different speeds. The resulting phase difference produces interference colors diagnostic of each mineral species.

How does the Michel-Lévy chart work?

The Michel-Lévy chart relates retardation (Γ = birefringence × thickness) to interference colors observed between crossed polars. Knowing any two of birefringence, thickness, and retardation lets you determine the third. Standard thin sections are cut to 30 μm, so the interference color directly indicates birefringence.

What is extinction in optical mineralogy?

Extinction occurs when a crystal appears dark between crossed polars because its vibration directions are parallel to the polarizer and analyzer. The angle between cleavage or crystal edges and the extinction position is diagnostic — for example, clinopyroxene shows oblique extinction at roughly 40°.

Why are thin sections exactly 30 micrometers thick?

The 30 μm standard was established so that the Michel-Lévy chart gives consistent interference colors. At this thickness, quartz shows first-order white-gray (Γ ≈ 270 nm), providing a convenient reference. Deviations in thickness shift all colors proportionally, which is why quartz is used as a thickness gauge.

Sources

Embed

<iframe src="https://homo-deus.com/lab/petrology/mineral-identification/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub