Consider a hypothetical element that forms a solid with bands as shown in the Figure. A. Suppose that the isolated atom has configuration 1s22s2. If its equilibrium separation is r0= a, is the solid a conductor or an insulator? What if r0= b? Answer both questions for the case that the atomic configuration is B. 1s22s22p1 and C. 1s22s22p6.
Consider a hypothetical element that forms a solid with bands as shown in the Figure. A. Suppose that the isolated atom has configuration 1s22s2. If its equilibrium separation is r0= a, is the solid a conductor or an insulator? What if r0= b? Answer both questions for the case that the atomic configuration is B. 1s22s22p1 and C. 1s22s22p6.
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Consider a hypothetical element that forms a solid with bands as shown in the Figure. A. Suppose that the isolated atom has configuration 1s22s2. If its equilibrium separation is r0= a, is the solid a conductor or an insulator? What if r0= b? Answer both questions for the case that the atomic configuration is B. 1s22s22p1 and C. 1s22s22p6.

Transcribed Image Text:**13.34** Consider a hypothetical element that forms a solid with bands as shown in Fig. 13.42.
(a) Suppose that the isolated atom has configuration \(1s^22s^2\). If its equilibrium separation is \(r_0 = a\), is the solid a conductor or an insulator? What if \(r_0 = b\)? Answer both questions for the case that the atomic configuration is
(b) \(1s^22s^22p^1\) and
(c) \(1s^22s^22p^6\).
**Explanation of Figure 13.42:**
The figure illustrates energy band diagrams for different atomic orbitals within a solid. The horizontal axis represents the interatomic distance \(r\), while the vertical axis represents energy levels.
- The \(1s\) band is narrow and close to the bottom of the energy scale, indicating it is mostly filled and not involved in conduction.
- The \(2s\) and \(2p\) bands are broader and overlap at certain points, particularly at separation \(a\), which could suggest the possibility of conductivity depending on the electron configuration.
- The \(3s\) band appears at a higher energy level, not overlapping with others at the equilibrium points \(a\) or \(b\).
The diagram includes dashed vertical lines at \(r = a\) and \(r = b\), denoting different equilibrium separations for the hypothetical solid state configurations.
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