Chapter 9, Problem 142CP

a)

Interpretation Introduction

Interpretation: Number of cannonballs, type of packing and type of regular geometry to be found.

Concept introduction

Closest packing: A metallic crystal containing spherical atom that are equally connected to each other in all direction. We can show such a structure by uniform packing in the way the sphere uses the vacant space. Closest packing are two types are Cubic close packing and Hexagonal close packing.

Cubic close packing: The arrangement of abc have cubic close packing. In this packing, unit cell made-up of four layers of atom. The top layer and bottom layer made-up of six atoms at hexagon’s corner and one at hexagon’s center.

Hexagonal close packing: In this packing, unit cell made-up of three layers of atom. The top layer and bottom layer made-up of six atoms at hexagon’s corner and one at hexagon’s center.

To explain total cannonballs needed.

b)

Interpretation Introduction

Interpretation: Number of cannonballs, type of packing and type of regular geometry to be found.

Concept introduction

Closest packing: A metallic crystal containing spherical atom that are equally connected to each other in all direction. We can show such a structure by uniform packing in the way the sphere uses the vacant space. Closest packing are two types are Cubic close packing and Hexagonal close packing.

Cubic close packing: The arrangement of abc have cubic close packing. In this packing, unit cell made-up of four layers of atom. The top layer and bottom layer made-up of six atoms at hexagon’s corner and one at hexagon’s center.

Hexagonal close packing: In this packing, unit cell made-up of three layers of atom. The top layer and bottom layer made-up of six atoms at hexagon’s corner and one at hexagon’s center.

To explain type of packing in cannonball.

c)

Interpretation Introduction

Interpretation: Number of cannonballs, type of packing and type of regular geometry to be found.

Concept introduction

Closest packing: A metallic crystal containing spherical atom that are equally connected to each other in all direction. We can show such a structure by uniform packing in the way the sphere uses the vacant space. Closest packing are two types are Cubic close packing and Hexagonal close packing.

Cubic close packing: The arrangement of abc have cubic close packing. In this packing, unit cell made-up of four layers of atom. The top layer and bottom layer made-up of six atoms at hexagon’s corner and one at hexagon’s center.

Hexagonal close packing: In this packing, unit cell made-up of three layers of atom. The top layer and bottom layer made-up of six atoms at hexagon’s corner and one at hexagon’s center.

To explain regular geometry of cannonball.