Cross-hatched Twinning
Cross-hatched Twinning
The diagnostic tartan microstructure of microcline feldspar
Cross-hatched twinning — also known as tartan twinning — is a distinctive optical microstructure observed in microcline feldspar, produced by the simultaneous operation of two independent twin laws: the albite law and the pericline law. Under a polarising microscope, the result is a fine grid of intersecting lamellar bands that resembles a woven tartan fabric, and it is one of the most reliable diagnostic features in both thin-section petrology and gemmological examination. Because this microstructure is essentially unique to microcline among the common feldspars, its presence immediately distinguishes microcline from the structurally similar but optically different orthoclase.
Structural Basis: Two Twin Laws in Concert
To understand cross-hatched twinning, it is necessary to appreciate the crystallographic context. The feldspar group is divided broadly into alkali feldspars and plagioclase feldspars. Among the alkali feldspars, potassium aluminium silicate (KAlSi₃O₈) can occur in three polymorphs — sanidine, orthoclase, and microcline — that differ primarily in the degree of ordering of aluminium and silicon atoms across the tetrahedral sites of the crystal lattice. Sanidine, which crystallises at high temperatures, is monoclinic with a disordered Al/Si distribution. Orthoclase is also monoclinic, representing an intermediate state of order. Microcline, the low-temperature, fully ordered polymorph, is triclinic: its unit cell has lost the mirror symmetry of the monoclinic system, and the two sets of tetrahedral sites are fully differentiated.
This transition from monoclinic to triclinic symmetry is the key to cross-hatched twinning. When a monoclinic feldspar cools slowly and undergoes the displacive transformation to the triclinic microcline structure, the original monoclinic symmetry elements are no longer present in the product phase. However, the crystal cannot simply adopt a single triclinic orientation uniformly: instead, twin-related domains nucleate and grow throughout the crystal, each domain representing one of the two triclinic orientations that are equivalent under the former monoclinic symmetry. The two twin laws involved are:
- Albite law: Twinning on {010}, the composition plane being (010). This is a contact or lamellar twin law common across the plagioclase series and in alkali feldspars. The twin axis is the a-axis.
- Pericline law: Twinning on the rhombic section, a plane whose orientation varies with composition and temperature. The twin axis is the b-axis.
Because the albite-law lamellae and the pericline-law lamellae are oriented at a high angle to one another — typically close to perpendicular in well-developed specimens — the two sets of fine bands intersect to produce the characteristic cross-hatched or tartan pattern. The width and regularity of the lamellae reflect the thermal history of the crystal: very slow cooling produces coarser, more regular lamellae, while more rapid cooling through the monoclinic-to-triclinic transition yields finer, less regular banding.
Optical Appearance Under the Polarising Microscope
In thin section, cross-hatched twinning is examined under crossed polars (orthoscopic illumination). Each lamellar domain extinguishes independently as the stage is rotated, so the two intersecting sets of bands alternate between light and dark in a pattern that shifts with stage rotation. The extinction angles of the two sets of lamellae differ slightly from one another, reflecting the small but measurable difference in crystallographic orientation between twin-related domains. In well-ordered microcline, the angle between the two sets of lamellae is close to 90°, and the pattern is strikingly regular. In partially ordered specimens — sometimes called intermediate microcline or orthoclase-microcline — the twinning may be less well developed, appearing patchy or irregular rather than forming a clean tartan grid.
The lamellar width in gem-quality microcline is typically on the order of a few micrometres to tens of micrometres, placing it well below the resolution of the unaided eye but clearly visible under magnification of ×40 or greater with polarised light. In some coarser-grained specimens, individual twin lamellae may be discernible even under a standard gemmological loupe, appearing as very fine parallel striations on cleavage surfaces.
Significance in Gemmology: Amazonite and Moonstone
Cross-hatched twinning is of direct practical importance in the identification of two commercially significant gem varieties of microcline feldspar: amazonite and certain moonstones.
Amazonite is the blue-green to green variety of microcline, coloured by trace amounts of lead and water within the feldspar structure. It is found in granitic pegmatites in localities including the Ilmen Mountains of Russia (the original source after which the stone was historically named, despite the Amazon River association in the popular name), Colorado in the United States, Madagascar, Brazil, and parts of East Africa. When an amazonite cabochon or rough specimen is examined in polarised light, the cross-hatched twinning is often clearly visible, providing immediate confirmation that the material is microcline rather than chrysoprase, turquoise, or other green-blue simulants.
Moonstone presents a more nuanced case. The adularescence — the floating, billowy light phenomenon for which moonstone is prized — arises from the interference of light scattered by alternating layers of two feldspar phases: orthoclase and albite, which exsolve from one another during slow cooling of an originally homogeneous alkali feldspar. Classic moonstone from Sri Lanka is predominantly orthoclase-based and does not show cross-hatched twinning. However, microcline moonstone — found in some Indian deposits (notably Rajasthan) and in parts of Tanzania — does exhibit the tartan microstructure alongside the adularescence-producing exsolution lamellae. The presence of cross-hatched twinning in a moonstone therefore indicates a microcline rather than orthoclase host, a distinction that can be confirmed by refractive index measurement: microcline has refractive indices of approximately 1.514–1.539 with a birefringence of 0.007–0.010, whereas orthoclase shows indices of approximately 1.518–1.526 with a birefringence of approximately 0.005–0.008.
Distinction from Orthoclase
The practical value of cross-hatched twinning as a diagnostic feature lies precisely in its ability to separate microcline from orthoclase, two feldspars that share the same chemical formula (KAlSi₃O₈) and very similar physical and optical properties. Orthoclase is monoclinic and, while it may show simple twinning (Carlsbad twins are common), it does not develop the intersecting lamellar pattern of cross-hatched twinning. When a gemstone or mineral specimen is placed under a polarising microscope and the characteristic tartan grid is observed, the identification of microcline is essentially confirmed. This is particularly useful in the examination of opaque or translucent cabochons where refractive index measurement alone may not be fully diagnostic.
Formation Conditions and Geological Context
The development of well-ordered cross-hatched twinning requires a thermal history that includes slow cooling through the monoclinic-to-triclinic inversion temperature, which for pure KAlSi₃O₈ is approximately 450–500 °C under low-pressure conditions, though this varies with composition and pressure. Geological environments that favour such slow cooling include deep-seated granitic pegmatites and metamorphic rocks that have experienced prolonged annealing at moderate temperatures. Rapidly cooled volcanic feldspars (sanidine) never develop cross-hatched twinning. Orthoclase, which forms at intermediate temperatures or cools more rapidly, may preserve the monoclinic structure indefinitely in a metastable state, never completing the transformation to triclinic microcline and therefore never developing the tartan microstructure.
This sensitivity to cooling rate makes cross-hatched twinning not merely a diagnostic feature but also a geothermometer of sorts: its presence and degree of development encode information about the thermal history of the host rock, a fact exploited extensively in metamorphic and igneous petrology.
In the Trade and Laboratory
For practising gemmologists, cross-hatched twinning is most commonly encountered during the examination of amazonite and microcline moonstone. Standard gemmological refractometers and spectroscopes are of limited use in distinguishing microcline from orthoclase, making the polarising microscope an essential tool for definitive identification. Major gemmological laboratories, including the Gemmological Institute of America (GIA), include polariscope and microscope examination as standard procedures for feldspar identification, and the tartan twin pattern is cited in GIA educational materials as a key feature of microcline.
In thin-section petrography — the discipline from which the gemmological application derives — cross-hatched twinning is considered one of the most reliable and visually striking diagnostic features in the identification of rock-forming minerals, and it appears in virtually every standard optical mineralogy textbook as the definitive illustration of microcline.