Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced
Exam
JEE Advanced
Subject
Chemistry
Chapter
Solid State

JEE Advanced · Chemistry · Solid State

In CCP, there are 8 tetrahedral sites and all are present...

In CCP, there are 8 tetrahedral sites and all are present completely inside the unit cell. There are 13 octahedral sites out of which 1 is at the body centre and 12 are at edge centres. Like CCP, another packing is HCP, in which the number of tetrahedral sites that are completely inside one unit cell is x . Mark the value of x2x^2. [Assume those sites are completely inside the cell that are not shared between unit cells]

Correct answer

64

Step-by-step solution

Hint : H.C.P. contain 20 T.H site Solution : In H.C.P., 8 T.V are inside the unit cell while 12 are at vertical edges (2 on each vertical edge)  T.V. =8+12×13=12\text { T.V. }=8+12 \times \frac{1}{3}=12 One edge in H.C.P. contributes 13\frac{1}{3}.
Practice Solid State on Quantrex Academy →

More from Solid State

The density (in g cm^ -3 ) of the metal which forms a cubic close packed (ccp) lattice… JEE Advanced 2025Atoms of metals x, y and z form face-centred cubic (fcc) unit cell of edge length L _ x… JEE Advanced 2023Which of the following expressions is correct in case of a CsCl unit cell (edge length… JEE Main 2023Sodium metal crystallises in a body centred cubic lattice with unit cell edge length of… JEE Main 2023An atomic substance A of molar mass 12g mol ^ – 1 has a cubic crystal structure with edge… JEE Main 2023The correct relationships between unit cell edge length ‘ a ’ and radius of… JEE Main 2023Number of crystal systems from the following where body centred unit cell can be found… JEE Main 2023A compound is formed by two elements X and Y . The element Y forms cubic close packed… JEE Main 2023 Full Solid State list All Most Important Selected Qs for JEE Advanced PYQs