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C BONDING GENERALIZATIONS BASED ON PERIODIC TRENDS IN THE ELECTRONEGATIVITY<br />

Table 1.4. Selected properties of the oxides of group IV elements.<br />

compound common name T m °C electroneg.<br />

CO 2 dry ice 57 (at 5.2 atm) 1.0<br />

SiO 2 quartz 1610 1.7<br />

GeO 2 1090 1.7<br />

SnO 2 cassiterite 1630 1.7<br />

TiO 2 rutile 1830 2.0<br />

ZrO 2 zirconia 2700 2.1<br />

Table 1.5. Selected properties of three isoelectronic polar-covalent solids.<br />

group(s) material ionicity ( f ) band gap T m °C<br />

IV Ge 0 % 0.7 eV 1231<br />

III–V GaAs 4 % 1.4 eV 1510<br />

II–VI ZnSe 15 % 2.6 eV 1790<br />

I–VIII CuBr 18 % 5.0 eV 492<br />

Finally, the variation of melting temperature and band gap with the ionicity<br />

fraction in isoelectronic solids that exhibit partial ionic and covalent bonding is<br />

illustrated in Table 1.5. The band gap is the separation, in energy, between the<br />

highest filled electron energy level in the crystal and the lowest empty electron<br />

energy level. Radiation at energies equal to or greater than the band gap will be<br />

absorbed by the solid and promote electrons to higher energy unfilled states.<br />

Thus, the band gap is a quantitative parameter that influences the appearance of<br />

the solid. Since visible light varies in energy from 1.7 to 3.0 eV, nondefective<br />

solids with band gaps greater than 3.0 eV transmit all visible light and are thus<br />

transparent and colorless. Solids with band gaps less than 1.8 eV are opaque. If<br />

the band gap is much less than 1.7 eV (but greater than zero), the crystal will be<br />

black. From Table 1.5, we can see that the band gap increases with ionicity and<br />

we can infer that compounds with greater than 50% ionicity should have large<br />

band gaps and, therefore, be colorless. This is a simple explanation for why most<br />

ceramics (ionically bound materials) are colorless and most semiconductors<br />

(covalently bound materials) are black.<br />

In conclusion, a brief survey of properties demonstrates that the periodicity<br />

of electronegativity and metallicity leads to a periodicity of bonding type.<br />

Because certain properties (electronic, optical) are also linked to bonding type,<br />

we see that there is also a periodicity of properties, as implied by Fig. 1.3.<br />

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