The crystal orbital
bond index (COBI) is a new and intuitive method
for quantifying covalent bonding in solid-state materials. COBI is
based on the bond index by Wiberg and Mayer and extends their ideas
to the case of translationally invariant objects, that is, crystalline
matter. COBI’s qualitative interpretation resembles the well-established
crystal orbital overlap population and crystal orbital Hamilton population
methods but should be more familiar to chemists since it directly
relates to the classical bond order. In contrast to the aforementioned
descriptors, COBI also allows for examining multicenter interactions
within a local-orbital framework. As an additional bonding indicator,
we refer to the Ewald sum for electrostatic lattice potentials, thereby
enabling the calculation of electrostatic lattice energies as well
as site potentials from quantum-mechanical charges as directly derived
from the wave function, not from the density.
Chemical bonding in main‐group IV chalcogenides is an intensely discussed topic, easily understandable because of their remarkable physical properties that predestine these solid‐state materials for their widespread use in, for instance, thermoelectrics and phase‐change memory applications. The atomistic origin of their unusual property portfolio remains somewhat unclear, however, even though different and sometimes conflicting chemical‐bonding concepts have been introduced in the recent years. Here, it is proposed that projecting phononic force‐constant tensors for pairs of atoms along differing directions and ranges provide a suitable and quantitative descriptor of the bonding nature for these materials. In combination with orbital‐based quantitative measures of covalency such as crystal orbital Hamilton populations (COHP), it is concluded that the well‐established many‐center and even n‐center bonding is an appropriate picture of the underlying quantum‐chemical bonding mechanism, supporting the recent proposal of hyperbonded phase‐change materials.
Layered phase‐change materials in the Ge−Sb−Te system are widely used in data storage and are the subject of intense research to understand the quantum‐chemical origin of their unique properties. To uncover the nature of the underlying periodic wavefunction, we have studied the interacting atomic orbitals including their phases by means of crystal orbital bond index and fragment crystal orbital analysis. In full accord with findings based on projected force constants, we demonstrate the role of multicenter bonding along straight atomic connectivities. While the resulting multicenter bonding resembles three‐center‐four‐electron bonding in molecules, its solid‐state manifestation leads to distinct long‐range consequences, thus serving to contextualize the material properties usually termed “metavalent”. Eventually we suggest multicenter bonding to be the origin of their astonishing bond‐breaking and phase‐change behavior, as well as the too small “van‐der‐Waals” gaps between individual layers.
Future technologies are in need of solid-state materials showing the desired chemical and physical properties, and designing such materials requires a proper understanding of their electronic structures.
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