Problem

Equations 8.1a and 8.1b, expressions for Burgers vectors for FCC and BCC crystal structure...

Equations 8.1a and 8.1b, expressions for Burgers vectors for FCC and BCC crystal structures, respectively, are of the form

where a is the unit cell edge length. The magnitudes of these Burgers vectors may be determined from the following equation:

Determine the values of |b| for aluminum and chromium. You may want to consult Table 3.1.

Table 3.1 Atomic Radii and Crystal Structures for 16 Metals

Metal

Crystal Structurea

Atomic Radiusb (nm)

Metal

Crystal Structure

Atomic Radius (nm)

Aluminum

FCC

0.1431

Molybdenum

BCC

0.1363

Cadmium

HCP

0.1490

Nickel

FCC

0.1246

Chromium

BCC

0.1249

Platinum

FCC

0.1387

Cobalt

HCP

0.1253

Silver

FCC

0.1445

Copper

FCC

0.1278

Tantalum

BCC

0.1430

Gold

FCC

0.1442

Titanium(α)

HCP

0.1445

Iron(α)

BCC

0.1241

Tungsten

BCC

0.1371

Lead

FCC

0.1750

Zinc

HCP

0.1332

 (8.1a)

 (8.1b)

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