The radius in picometers of Polonium atom has to be calculated. Concept Introduction: Simple cubic unit: A simple cubic unit cell is the simplest form of a cubic unit cell. A cube has eight vertices, twelve edges and six faces. Similarly a cubic unit cell has eight vertices, twelve edges and six faces. If in a cubic unit cell, the components occupy only the eight vertices, then the unit cell is known as simple cubic unit cell. Figure 1 A simple cubic unit cell has its all the eight vertices arranged with atoms in it. Thus eight atoms are arranged in a simple cubic unit cell in eight vertices. Each atom in a vertex is shared by eight neighboring unit cells. Each layer of a lattice has four unit cells and the upper or lower to that layer has four unit cells. So, each simple cubic unit cell has 1 8 th of an atom at each vertex. So 8 vertices have 8 × 1 8 = 1 atom per unit cell.

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Chapter 10.8, Problem 10.12P

Interpretation Introduction

Interpretation:

The radius in picometers of Polonium atom has to be calculated.

Concept Introduction:

Simple cubic unit:

A simple cubic unit cell is the simplest form of a cubic unit cell. A cube has eight vertices, twelve edges and six faces. Similarly a cubic unit cell has eight vertices, twelve edges and six faces. If in a cubic unit cell, the components occupy only the eight vertices, then the unit cell is known as simple cubic unit cell.

Figure 1

A simple cubic unit cell has its all the eight vertices arranged with atoms in it. Thus eight atoms are arranged in a simple cubic unit cell in eight vertices. Each atom in a vertex is shared by eight neighboring unit cells. Each layer of a lattice has four unit cells and the upper or lower to that layer has four unit cells. So, each simple cubic unit cell has 18th of an atom at each vertex. So 8 vertices have 8 × 18 = 1 atom per unit cell.

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