The figures given below show the location of atoms in three...

Name: Problem 44, Chapter 15: 43 Years JEE ADVANCED (1978-2020) + JEE MAIN Chapterwise & Topicwise Solved Papers Chemistry
Uploaded: 2021-11-28T09:28:52-08:00
Duration: 1 min 10 s
Channel: Nikhil Choudhary
Description: The figures given below show the location of atoms in three crystallographic planes in an FCC lattice. Draw the unit cell for the corresponding structure and identify these planes in your diagram.

The figures given below show the location of atoms in three crystallographic planes in an FCC lattice. Draw the unit cell for the corresponding structure and identify these planes in your diagram.

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Key Concepts

Face Centered Cubic (FCC) Lattice

The face centered cubic (FCC) lattice is a crystal structure where atoms are positioned at each of the corners and at the centers of all the faces of the cubic unit cell. This configuration leads to a high packing density and symmetry, influencing many physical properties of the material.

Unit Cell

The unit cell is the smallest repeating unit that fully captures the symmetry and structure of an entire crystal lattice. In crystallography, accurately drawing the unit cell is vital because it serves as a building block, showing how atoms are arranged in three-dimensional space to create the overall lattice.

Crystallographic Planes

Crystallographic planes are specific flat surfaces within a crystal that can be identified by their orientation relative to the lattice. These planes, essential in the study of diffraction and material properties, expose patterns that are dictated by the atomic arrangement in the crystal structure.

Miller Indices

Miller indices are a system of notation that designates the orientation of crystallographic planes and directions within a lattice. By representing the intercepts that a plane makes with the crystal axes, these indices are crucial for analyzing symmetrical properties and predicting the behavior of crystallographic faces.

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