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Atoms in metal crystals can be regarded as rigid spheres, and the stacking methods are mainly hexagonal close-packed, vertical-centered close-packed, cube-centered close-packed, and diamond-typed
.
The first three are tightly packed, while the diamond-type packing is non-closely packed
1.
Hexagonal Close Packing
The atoms in the metal crystal can be regarded as rigid spheres.
In a layer, the closest packing method is that a sphere is tangent to the surrounding 6 spheres, forming 6 recesses around the center.
This is the first layer ( Marked as A layer)
.
The second layer is to align the balls with the 1, 3, and 5 recesses (denoted as layer B); the third layer repeats the first layer
Every two layers form a cycle, which is the ABAB stacking method, stacking hexagonal prism-shaped units
.
The coordination number of the hexagonal close-packed is 12, there are 2 atoms in the unit cell, and the space utilization rate is 74.
Figure 6-46 Hexagonal close packing of metal crystals
2.
Straightforward stacking of hearts
Vertically, the first and second layers of the core close-packed are the same as the hexagonal close-packed.
The third layer is to align the balls with the 2, 4, and 6 recesses of the first layer (denoted as layer C); the fourth layer repeats the first Layers; the vertical cores are densely stacked according to the three layers of ABCABC to form a cycle (Figure 6-47)
.
The atomic coordination number is 12, and the space utilization rate is 74.
Figure 6-47 The vertical close-packing of metal crystals
From Fig.
6-47, it is difficult to determine the unit cell of the vertical close-packed metal crystal
Figure 6-48 The selection of a close-packed metal crystal unit cell on the vertical side
3.
Cube-centered close packing and diamond-shaped packing
In the close-packed cube center (Figure 6-49), the atom at the center of the cube is tangent to the 8 atoms at the vertices, and the atoms at the vertices of the cube are not tangent.
The space utilization rate is lower than that of the cube center and hexagonal stacking
.
The coordination number of atoms is 8, there are 2 atoms in the unit cell, and the space utilization rate is 68.
Substituting all ions in the cubic zinc sulfide unit cell with carbon atoms, the diamond unit cell is obtained, and metals such as gray tin and germanium adopt a diamond-type accumulation method (Figure 6-49)
.
The coordination number of atoms is 4, there are 8 atoms in the unit cell, and the space utilization rate is only 34.
Figure 6-49 Cube-centered close packing and diamond-shaped packing