GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

Question : 18 of 65

Marks: +1, -0

The number of atoms per unit cell and the number of slip systems, respectively, for a face-centered cubic (FCC) crystal are

Solution:

Unit cell	N	CN	a/R	APF	Number of Slip Systems
Simple cubic	$1$	$6$	$2$	$0.52$
Body centeredcubic	$2$	$8$	$4/√3$	$0.68$	$48$
Face centeredcubic	$4$	$12$	$4/√2$	$0.74$	$12$
Hexagonalclose packed	$6$	$12$	a/R $=2$ c/a $=1.633$	$0.74$	3

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