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Chapter 12: 12.91P (page 497)

Calcium sulfide adopts the sodium chloride crystal structure (Figure). How manyS2-ions are in the CaS unit cell?

Short Answer

Expert verified

FourS2- ions are present in the CaS unit cell

Step by step solution

01

Sodium chloride structure

Sodium chloride structure is an anion-occupied face-centered array with cations occupying interpenetrating FCC lattice.

02

Ions in the unit cell

The face-centered cubic unit cell consists of 8 anions in the corner, thus one anion contributing18 to the unit cell. Along with that, anions are present in the center of the six respective faces of the cell. Hereby, each anion contributing12 to the unit cell.

Thus, each unit cell consists of 8脳(18)+6脳(12)=4, i.e., four anions in the unit cell.

Similarly, for cations, the ions are arranged in an FCC array, thus four cations in the unit cell.

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Most popular questions from this chapter

In the photoelectric effect, the work function (桅) is the minimum energy a photon must have to remove an electron from a metal surface (see Problem 7.70). For a given metal, 桅 depends on how and where the photon strikes the crystal. Copper adopts the face-centered cubic structure. If the photon strikes perpendicular to the unit cell鈥檚 face, 桅 is 4.59 eV; if perpendicular to a plane tangent to an edge, 桅 is 4.48 eV; and if perpendicular to a plane tangent to a corner, 桅 is 4.94 eV (1 eV = 1.602脳10-19J). Find the wavelength (in nm) of the lowest energy photon that can remove an electron from copper, and state how it strikes the unit cell.

Which has the greater polarizability? Explain.

(a) Ca2+or Ca (b) CH3CH3or CH3CH2CH3 (c) CCl4orCF4

Rank the compounds in Problem 12.61 in order of decreasing viscosity at a given temperature; explain your ranking.

Of the five major types of crystalline solid, which does each of the following forms, and why: (a) SiC; (b) Na2SO4; (c) SF6; (d) cholesterol (C27H45OH) ; (e) KCl; (f) BN?

Which has the greater polarizability? Explain.

(a) Br-orI- (b) CH2=CH2 orCH3-CH3 (c) H2Oor H2Se
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