Abstract
The bonding of atoms in semiconductors is accomplished by electrostatic forces – Coulomb forces between the electrons and atomic nuclei – and the tendency of atoms to fill their outer shells. Interatomic attraction is balanced by short-range repulsion due to strong resistance of atoms against interpenetration of core shells. Coulomb forces are the basis for ionic and hydrogen bonding forces but are also involved in metallic bonding and, as dipole–dipole interaction, in van der Waals bonding. In addition, strong quantum-mechanical effects, determining specific orbitals, and Pauli exclusion are major contributing factors in covalent and metallic bonding, respectively.
K. W. Böer: deceased
Notes
- 1.
A better fit for the Born repulsion is obtained by the sum of a power and an exponential law:
$$ e{V}_{\mathrm{Born}}=\beta /{r}^m+\gamma \exp \left(-r/{r}_0\right), $$(2)where r0 is the softness parameter, listed for ions in Table 8. For more sophisticated repulsion potentials, see Shanker and Kumar (1987).
- 2.
β can be eliminated from the minimum condition (\( {\left. dV/ dr\right|}_{r_e}=0 \)). One obtains β = e2rem− 1/(4πε0m) and as cohesive energy eVmin=− e2(m − 1)/(4πε0m re).
- 3.
The promotion energy is 4.3, 3.5, and 3.3 eV for C, Si, and α-Sn, respectively. However, when forming bonds by establishing electron bridges to neighboring atoms, a substantially larger energy is gained, therefore resulting in net binding forces. Diamond has the highest cohesive energy in this series, despite the fact that its promotion energy is the largest, because its sp3-sp3 C–C bonds are the strongest (see Harrison (1980)).
- 4.
Meaning compounds between one element of group III and one element of group V on the periodic system of elements (cf. Fig. 3 in chapter “Properties and Growth of Semiconductors”)
- 5.
This empirical quantity can be defined in several ways (e.g., as Mohs, Vickers, or Brinell hardness) and is a macroscopic mechanical representation of the cohesive strength of the lattice (Smith and Hashemi 2010). In Table 10, the often used Mohs hardness is listed, which orders the listed minerals according to the ability of the higher-numbered one to scratch the lower-numbered minerals. This simple scale remains relevant for metrology (Davis 2018) and can reasonably be predicted using machine learning (Garnett 2019).
- 6.
Two principal devices made of organic semiconductors recently entered the market: light-emitting diodes (OLEDs) and field-effect transistors (OFETs), processed as thin-film transistors (TFT). Prominent molecules used in organic (opto-) electronics are listed in Sect. 1.5 in chapter “The Structure of Semiconductors.”
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Böer, K.W., Pohl, U.W. (2022). Crystal Bonding. In: Semiconductor Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-06540-3_2-4
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Crystal Bonding- Published:
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DOI: https://doi.org/10.1007/978-3-319-06540-3_2-4
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Crystal Bonding- Published:
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DOI: https://doi.org/10.1007/978-3-319-06540-3_2-1