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Chapter 12: Problem 23

Imagine the primitive cubic lattice. Now imagine grabbing the top of it and stretching it straight up. All angles remain \(90^{\circ} .\) What kind of primitive lattice have you made?

Short Answer

Expert verified
By grabbing the top of the primitive cubic lattice and stretching it straight up while keeping all angles at \(90^{\circ}\), we have transformed the lattice into a Primitive Tetragonal Lattice, which has all angles at \(90^{\circ}\) and two equal sides with a third side of different length.

Step by step solution

01

Understand the primitive cubic lattice

A primitive cubic lattice has unit cells with all sides equal in length and all angles at \(90^{\circ}\). It is also called a simple cubic lattice or a unit cell.
02

Visualize the stretching process

Now imagine grabbing the top of the primitive cubic lattice and stretching it straight up while keeping all angles at \(90^{\circ}\). By doing this, we increase the height of the lattice, thus transforming it into a different kind of lattice.
03

Identify the new lattice type

Since we have stretched the top of the cubic lattice straight up and kept all angles at \(90^{\circ}\), we have transformed the primitive cubic lattice to a Primitive Tetragonal Lattice. This lattice has all angles at \(90^{\circ}\), and two sides (width and depth) are equal in length while the third side (height) is of different length.

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