Question

in a metal with fcc crystal structure, the planar density values are: pd(100) = 12.5 atoms/nm², pd(110) = 13.3 atoms/nm², pd(111) = 14.4 atoms/nm². which plane is most likely to slip under stress? (111)

Explanation:

Step1: Recall slip - plane principle

Slip occurs most readily on planes with highest atomic density.

Step2: Compare atomic densities

Given PD(100) = 12.5 atoms/nm², PD(110) = 13.3 atoms/nm², PD(111) = 14.4 atoms/nm². Since 14.4>13.3>12.5, the (111) plane has the highest atomic density.

Answer:

The (111) plane is most likely to slip under stress.