Optical calcite is a crystalline form of calcium carbonate and exhibits an interesting optical property called birefringence, or double refraction.
Birefringence is an optical characteristic that means that calcite has the ability to split an incident light ray into two rays, one that follows the normal path (ordinary ray) and the other that is deflected (extraordinary ray). These rays travel at different speeds inside the crystal and propagate in different directions. This property is the result of the internal structure of the crystal, which has different propagation speeds of light in different directions.
When a ray of light passes through a calcite crystal, it undergoes this separation into two rays with different directions and speeds. This characteristic of calcite has historically been used in the manufacture of various optical devices, such as the Nicol prism, which is a polarizer that allows only one of the two birefringent light waves to pass through, being used in the polarization of light.
Optical calcite, due to its birefringence or double refraction property, can also be used as a kind of "solar compass" to locate the sun on cloudy days. This optical property of calcite allows the mineral to become a natural indicator of the position of the sun even when the sky is covered with clouds.
The principle behind this use of optical calcite is based on the already mentioned double refraction. When a piece of optical calcite is placed on a flat surface, such as soil or rock, and pointed toward the sun, the mineral will act as a kind of natural polarizing filter. Calcite splits the ray of sunlight into two rays with different directions and speeds due to birefringence.
These two light rays travel at different speeds through the calcite and emerge in slightly different directions. Looking through the mineral, two images of the sun will be seen, one corresponding to the ordinary ray and the other to the extraordinary ray. These two images will be slightly angularly separated and will form a characteristic pattern known as a "double sun image."
The angle between the two images of the double sun depends on the position of the sun in the sky. By knowing the typical angular position of the double sun image on clear days, it is possible to compare it with the double sun image observed on a cloudy day. In this way, optical calcite can act as an indicator of the position of the sun, even when it is not directly visible due to clouds.
This method can be useful for travelers, explorers, or people who need to determine the position of the sun in situations where the sun is covered by cloudy skies. However, it is important to note that the accuracy of this technique can vary depending on the quality of the calcite crystal and the lighting conditions. Also, this method is most effective at latitudes near the equator, where the sun moves across the sky at a more vertical angle. At high latitudes, such as near the poles, the sun moves across the sky at more horizontal angles, which could make it difficult to see the double sun image pattern.