Type of the unit cell should be identified. Concept introduction: The face-centered cubic system: It has lattice points on the faces of the cube, that each gives exactly one half contribution, in addition to the corner lattice points, giving a total of 4 lattice points per unit cell. The Body-centered cubic system: The body-centered cubic system has one lattice point in the center of the unit cell in addition to the eight corner points. It has a net total of 2 lattice points per unit cell. The primitive cubic system: The primitive cubic system consists of one lattice point on each corner of the cube. Each atom at a lattice point is then shared equally between eight adjacent cubes, and the unit cell therefore contains in total one atom.

Question

Want to see the full answer?

Answer 1

Question

Chapter 12.1, Problem 1RC

Interpretation Introduction

Interpretation:

Type of the unit cell should be identified.

Concept introduction:

The face-centered cubic system:

It has lattice points on the faces of the cube, that each gives exactly one half contribution, in addition to the corner lattice points, giving a total of 4 lattice points per unit cell.

The Body-centered cubic system:

The body-centered cubic system has one lattice point in the center of the unit cell in addition to the eight corner points. It has a net total of 2 lattice points per unit cell.

The primitive cubic system:

The primitive cubic system consists of one lattice point on each corner of the cube. Each atom at a lattice point is then shared equally between eight adjacent cubes, and the unit cell therefore contains in total one atom.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

At room temperature, the edge length of the cubic unit cell in elemental silicon is 5.431 Å, and the density of silicon at the same temperature is 2.328 g cm-3 . Each cubic unit cell contains eight silicon atoms. Using only these facts, perform the following operations.(a) Calculate the volume (in cubic centimeters) of one unit cell.(b) Calculate the mass (in grams) of silicon present in a unit cell.(c) Calculate the mass (in grams) of an atom of silicon.(d) The mass of an atom of silicon is 28.0855 u. Estimate Avogadro’s number to four significant figures.

do (b) What is the relationship between the length of the face diagonal and the radius, r, of the atoms in the cell? (Enter a mathematical expression.) face diagonal = (c) How is the radius of the atoms related to do? (Enter a mathematical expression.) r = (d) Gold metal crystals have an FCC structure. The unit cell edge in gold is 0.4078 nm long. What is the radius (in nm) of a gold atom? nm

2) Sodium is a bright and white, soft, wax-like element dissolved in seawater, crystallized in rock salt. Sodium is common in nature and crystallizes with a body-centered cubic unit cell and its density is 0.971 g/cm³. (Na: 23 g/mol) (a) What is the volume of the unit cell, in cm³? (b) What is the edge length of the unit cell, in pm? (c) What is the radius of a sodium atom, in pm?