Which one of the following schemes of ordering closed packed sheets of equal-sized spheres do not generate close-packed lattice?

The correct option is C

ABBAABBA

The explanation for the correct option:

(c ) ABBAABBA

• The method of organization A close-packed lattice is not produced by ABBAABBA of tightly stacked sheets of equal-sized spheres.
• It is because BB, AA, and BB represent the same stacked layers of sheets.
• As a result, this option is correct.

The explanation for the incorrect options:

(a) ABCABC

• A close-packed lattice is produced by ABCABC of densely stacked sheets of equal-sized spheres.
• It is similar to how ABC represents the various layers of sheets piled together.

(b) ABACABAC

• The ordering scheme ABACABAC of tightly stacked sheets of equal-sized spheres does produce a close-packed lattice
• It is as ABA , CAB represents the different layers of sheets stacked together.

(d) ABCBCACBC

• The ordering scheme ABCBCACBC of tightly stacked sheets of equal-sized spheres does produce a close-packed lattice
• It is as ABC represent the different layers of sheets stacked together.

Hence the correct option is (c ) ABBAABBA