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Map of electron density change before and after the formation of chemical bonds (electron density difference, EDD) in the (010) plane. The Ti, Co, and O atoms are represented by gray, blue, and red balls, respectively, and M indicates the Mulliken population.  

Map of electron density change before and after the formation of chemical bonds (electron density difference, EDD) in the (010) plane. The Ti, Co, and O atoms are represented by gray, blue, and red balls, respectively, and M indicates the Mulliken population.  

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Article
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Zero thermal expansion (ZTE) behavior is rare but important for both fundamental studies and practical applications of functional materials. Until now, most available ZTE materials are either electrical insulating oxides or conductive metallic compounds. Very few ZTE materials exhibit the semiconductor feature. Here we report a ZTE in a semiconduct...

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... this model the parent PbTiO 3 lattices were not considered because they are not involved in the Ti−Co substitution. As shown in Figure 5, the Ti and Co atoms are located on the different (001) planes, coordinated to the neighbor "bridging" or "dangling" oxygen atoms. The electron density difference (EDD) maps in the (010) plane (as shown in Figure 5) clearly show that many more electrons are accumulated on the Ti−O bonds as compared with the Co−O bonds, revealing the stronger bond strength of the former. ...
Context 2
... shown in Figure 5, the Ti and Co atoms are located on the different (001) planes, coordinated to the neighbor "bridging" or "dangling" oxygen atoms. The electron density difference (EDD) maps in the (010) plane (as shown in Figure 5) clearly show that many more electrons are accumulated on the Ti−O bonds as compared with the Co−O bonds, revealing the stronger bond strength of the former. This conclusion is also demonstrated by the Mulliken population 35 analysis, i.e., the bond orders of Ti− O bonds are much larger than those of Co−O bonds. ...
Context 3
... conclusion is also demonstrated by the Mulliken population 35 analysis, i.e., the bond orders of Ti− O bonds are much larger than those of Co−O bonds. Therefore, the oxygen atoms connected to Co atoms are easier to remove to form the oxygen vacancies; the formation energies for oxygen vacancies at the sites around Co atoms are smaller than those around Ti atoms (also labeled in Figure 5). This explains the experimental observations that the content of oxygen vacancies increases as more Co atoms are incorporated into the crystal lattice ( Figure S12). ...

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... 23 Owing to the flexible perovskite structure of PT, its piezoelectric and thermal expansion properties can be easily modified by chemical substitutions. 2 In particular, zero thermal expansion can be successfully achieved in PT-based piezoelectric materials. 43,44 Bi 0.5 K 0.5 VO 3 is isostructural with PT and can also be regarded as a promising matrix to form the so-called morphotropic phase boundary with excellent piezoelectric properties. 45 ...
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