International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

International Tables for Crystallography (2006). Vol. C. ch. 9.2, pp. 753-754

Section 9.2.1.2.2. Structures of SiC and ZnS

D. Pandeyc and P. Krishnab

9.2.1.2.2. Structures of SiC and ZnS

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SiC has a binary tetrahedral structure in which Si and C layers are stacked alternately, each carbon layer occupying half the tetrahedral voids between successive close-packed silicon layers. One can regard the structure as consisting of two identical interpenetrating close packings, one of Si and the other of C, with the latter displaced relative to the former along the stacking axis through one fourth of the layer spacing. Since the positions of C atoms are fixed relative to the positions of layers of Si atoms, it is customary to use the letters A, B, and C as representing Si–C double layers in the close packing. To be more exact, the three kinds of layers need to be written as Aα, Bβ, and Cγ where Roman and Greek letters denote the positions of Si and C atoms, respectively. Fig. 9.2.1.4[link] depicts the structure of SiC-6H, which is the most common modification.

[Figure 9.2.1.4]

Figure 9.2.1.4| top | pdf |

Tetrahedral arrangement of Si and C atoms in the SiC-6H structure.

A large number of crystallographically different modifications of SiC, called polytypes, has been discovered in commercial crystals grown above 2273 K (Verma & Krishna, 1966[link]; Pandey & Krishna, 1982a[link]). Table 9.2.1.2[link] lists those polytypes whose structures have been worked out. All these polytypes have a = b = 3.078 Å and c = n × 2.518 Å, where n is the number of Si–C double layers in the hexagonal cell. The 3C and 2H modifications, which normally result below 2273 K, are known to undergo solid-state structural transformation to 6H (Jagodzinski, 1972[link]; Krishna & Marshall, 1971a[link], Krishna & Marshall, 1971b[link]) through a non-random insertion of stacking faults (Pandey, Lele & Krishna, 1980a[link], Pandey, Lele & Krishna, 1980b[link], Pandey, Lele & Krishna, 1980c[link]; Kabra, Pandey & Lele, 1986[link]). The lattice parameters and the average thickness of the Si–C double layers vary slightly with the structure, as is evident from the h/a ratios of 0.8205 (Adamsky & Merz, 1959[link]), 0.8179, and 0.8165 (Taylor & Jones, 1960[link]) for the 2H, 6H, and 3C structures, respectively. Even in the same structure, crystal-structure refinement has revealed variation in the thickness of Si–C double layers depending on their environment (de Mesquita, 1967[link]).

Table 9.2.1.2| top | pdf |
List of SiC polytypes with known structures in order of increasing periodicity(after Pandey & Krishna, 1982a[link])

PolytypeStructure (Zhdanov sequence)PolytypeStructure (Zhdanov sequence)
2H1157H(23)93333
3C[\infty]57R(33)234
4H2269R1(33)332
6H3369R233322334
8H4475R2(32)3(23)2
10H332281H(33)535(33)634
14H(22)23384R(33)3(32)2
15R2387R(33)432
16H1(33)22290R(23)43322
18H(22)33393R(33)434
19H(23)32296R1(33)33434
20H(22)34499R(33)43222
21H333534105R(33)532
21H2(33)263111R(33)534
21R34120R(22)523222333
24R35123R(33)632
27H(33)2(23)3126R(33)22353433223
27R2223129R(33)634
33R3332125R32(33)223(33)323
33H(33)2353334141R(33)732
34H(33)42332147R(3332)432
36H1(33)232(33)234150R1(23)332(23)3322332
36H2(33)43234150R2(23)2(3223)4
39H(33)232(33)3(32)2159R(33)832
39R3334168R(23) 1033
40H(33)52332174R(33)66(33)54
45R(23)232189R(34)843
51R1(33)232267R(23)1722
51R2(22)323273R(23)1733
54H(33)6323334393R(33)2132

The structure of ZnS is analogous to that of SiC. Like the latter, ZnS crystals grown from the vapour phase also display a large variety of polytype structures (Steinberger, 1983[link]). ZnS crystals that occur as minerals usually correspond to the wurtzite [(\quad/AB/\ldots)] and the sphalerite [(\quad/ABC/\ldots)] modifications. The structural transformation between the 2H and 3C structures of ZnS is known to be martensitic in nature (Sebastian, Pandey & Krishna, 1982[link]; Pandey & Lele, 1986b[link]). The h/a ratio for ZnS-2H is 0.818, which is somewhat different from the ideal value (Verma & Krishna, 1966[link]). The structure of the stackings in polytypic AgI is analogous to those in SiC and ZnS (Prager, 1983[link]).

References

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