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Grain boundary

physical science Maturity 5-7 Next article →

In materials science, a grain boundary is the interface where two grains, or crystallites, meet within a polycrystalline material.

Crystallite
Crystallite

Most metals are not one single, perfect crystal. Instead, they are made of many tiny crystals oriented in different directions. The boundaries between these crystals are two-dimensional defects in the overall structure. These boundaries are critical because they change how a material functions. They often decrease electrical and thermal conductivity. They also serve as preferred sites for corrosion to begin or for new phases to precipitate from a solid.

CrystalGrain
CrystalGrain

Scientists categorize these boundaries based on the degree of misorientation between the two grains. A low-angle grain boundary (LAGB), also called a subgrain boundary, occurs when the misorientation is less than about 15 degrees. These boundaries are composed of an array of dislocations. A dislocation is essentially a half-plane of atoms that acts like a wedge. When a single grain is bent by an external force, the energy from that bending can be reduced by inserting a dislocation. As the grain bends further, more dislocations are added, forming a wall that splits the grain into two sub-grains.

There are different ways these dislocations can arrange themselves. In a tilt boundary, the rotation axis is parallel to the boundary plane. This can be imagined as a single crystal being gradually bent. In a twist boundary, the misorientation occurs around an axis perpendicular to the boundary plane. This type of boundary incorporates two sets of screw dislocations. These dislocations might form a square network if they are orthogonal. In other cases, they may interact to form a complex hexagonal structure. Most real-world boundaries are mixed types, containing different dislocations to find the best fit between neighbors.

When deformation continues, the density of these dislocations increases. The spacing between them decreases until their cores begin to overlap. At this point, the ordered nature of the boundary breaks down. The boundary is then considered a high-angle grain boundary (HAGB), with a misorientation greater than 15 degrees. High-angle boundaries are much more disordered than low-angle ones. They feature large areas of poor fit and a more open structure.

TiltAndTwistBoundaries remade
TiltAndTwistBoundaries remade

Historically, scientists held different views about these structures. It was once believed that high-angle boundaries were a form of amorphous or liquid layer between grains. However, this model could not explain the observed strength of the boundaries. After the invention of electron microscopy, researchers gained the ability to see the grain structure directly. This evidence forced scientists to discard the liquid layer hypothesis. We now know that a boundary consists of structural units. These units depend on the misorientation of the grains and the plane of the interface.

To understand the fit between grains, scientists use Coincidence Site Lattice (CSL) theory. This theory describes the degree of fit, represented by the Greek letter sigma (Σ). The value of Σ is the reciprocal of the ratio of coincidence sites to the total number of sites. For example, if Σ=3, then one out of every three atoms is shared between the two lattices. Boundaries with low Σ values, such as coherent twin boundaries (Σ3) or high-mobility boundaries (Σ7), have special properties.

GrainBoundaryOrientationDistribution
GrainBoundaryOrientationDistribution

Energy and volume are also vital to characterizing these interfaces. The energy of a low-angle boundary depends on the degree of misorientation. This relationship is described by the Read–Shockley equation.

GrainBoundaryEnergy
GrainBoundaryEnergy

Another property is excess volume, a term proposed by Bishop in 1972. This describes the expansion induced by the presence of a grain boundary. While it is called volume, it actually refers to a change in length normal to the boundary plane. There is an inverse relationship between excess volume and the bulk modulus, which is a material's ability to compress.

Finally, grain boundaries can move, which impacts how materials change over time. This movement is called boundary migration. High-angle boundaries move by the transfer of atoms between neighboring grains. This process depends on temperature, the structure of the boundary, and the presence of impurity atoms. Low-angle boundaries move more slowly, often through a process called dislocation climb. This movement is limited by the diffusion of solutes in the bulk. Engineers can manage this by using particles to inhibit grain growth through a process called Zener pinning.

Grain growth inhibition
Grain growth inhibition
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🖼️ Images & Media (6)
File:CrystalGrain.jpg
CrystalGrain.jpg
File:Crystallite.jpg
Crystallite.jpg
File:TiltAndTwistBoundaries remade.svg
TiltAndTwistBoundaries remade.svg
File:GrainBoundaryOrientationDistribution.png
GrainBoundaryOrientationDistribution.png
File:GrainBoundaryEnergy.png
GrainBoundaryEnergy.png
File:Grain growth inhibition.svg
Grain growth inhibition.svg
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