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Chapter 12: Problem 110

What type of lattice-primitive cubic, body-centered cubic, or face-centered cubic-does each of the following (a) NaF, (b) Ag, (c) Fe, (d) \(\mathrm{CsCl}\) structure types possess: (e) \(\mathrm{ScF}_{3} ?\)

Short Answer

Expert verified
(a) NaF has a face-centered cubic (fcc) lattice structure. (b) Ag has a face-centered cubic (fcc) lattice structure. (c) Fe has a body-centered cubic (bcc) lattice structure. (d) CsCl has a primitive cubic (simple cubic) lattice structure. (e) ScF3 has a complex arrangement related to face-centered cubic (fcc) lattice structure.

Step by step solution

01

(a) NaF Lattice Type

NaF has an alternating arrangement of Na and F ions in a cubic manner with each ion surrounded by six ions of the other type. This arrangement is characteristic of a face-centered cubic (fcc) lattice structure.
02

(b) Ag Lattice Type

Silver (Ag) has a cubic arrangement where atoms are located at the corners and in the centers of the faces of the cell. This is a characteristic of the face-centered cubic (fcc) lattice structure.
03

(c) Fe Lattice Type

Iron (Fe) has a cubic arrangement with an atom at each corner and an additional atom in the center of the cell. This arrangement is typical of a body-centered cubic (bcc) lattice structure.
04

(d) CsCl Lattice Type

The CsCl structure consists of one Cs ion located at the corners of the cell and a Cl ion in the center of the cubic arrangement. This type of arrangement is characteristic of a primitive cubic (simple cubic) lattice structure.
05

(e) ScF3 Lattice Type

ScF3 has a complex arrangement where the Sc ions are located at the corners and centers of the faces of the cell, while the F ions are located at the quarter and three-quarter positions along the cell edges. This type of arrangement does not fit any of the three simple lattice types described (primitive cubic, bcc, or fcc). However, its closest relation would be a face-centered cubic (fcc) lattice structure, as its basis contains FCC-type surroundings for Sc and F ions.

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