menu
bartleby
search
close search
Hit Return to see all results
close solutoin list

The solid-state structure of silicon is shown below. Unit cell for silicon (a) Describe this crystal as pc, bcc, or fcc. (b) What type of holes are occupied in the lattice? (c) How many Si atoms are there per unit cell? (d) Calculate the density of silicon in g/cm 3 (given that the cube edge has a length of 543.1 pm). (e) Estimate the radius of the silicon atom. ( Note: The Si atoms on the edges do not touch one another.)

BuyFindarrow_forward

Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

Solutions

Chapter
Section
BuyFindarrow_forward

Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 12, Problem 47GQ
Textbook Problem
30 views

The solid-state structure of silicon is shown below.

Chapter 12, Problem 47GQ, The solid-state structure of silicon is shown below. Unit cell for silicon (a) Describe this crystal

Unit cell for silicon

  1. (a) Describe this crystal as pc, bcc, or fcc.
  2. (b) What type of holes are occupied in the lattice?
  3. (c) How many Si atoms are there per unit cell?
  4. (d) Calculate the density of silicon in g/cm3 (given that the cube edge has a length of 543.1 pm).
  5. (e) Estimate the radius of the silicon atom. (Note: The Si atoms on the edges do not touch one another.)

(a)

Interpretation Introduction

Interpretation:

Given silicon crystal has to be described for PC, BCC or FCC.

Concept introduction:

  • An ionic radii are the radius of an atom's ion in ionic crystals structure.
  • An ionic solid is made up cations and anions held together by electrostatic forces in a rigid array or lattice.
  • Positive charge ions are cations and negative charge ions are anions.
  • Lattice Energy is mainly depends on the charge on the ion and radius or size of the ion.
  • Ionic radius increases from top to bottom on the periodic table.

  Ionic radius decreases from left to right the periodic table.

  • The density of the unit cell:

  Massvolume = density

  • The face-centered cubic system:

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

Explanation of Solution

The types of the lattice is face center cubic crystal, because It has lattice points on the faces of the cube, that each giv...

(b)

Interpretation Introduction

Interpretation:

The types of holes that are occupied in the lattice has to be determined.

Concept introduction:

  • An ionic radii are the radius of an atom's ion in ionic crystals structure.
  • An ionic solid is made up cations and anions held together by electrostatic forces in a rigid array or lattice.
  • Positive charge ions are cations and negative charge ions are anions.
  • Lattice Energy is mainly depends on the charge on the ion and radius or size of the ion.
  • Ionic radius increases from top to bottom on the periodic table.

  Ionic radius decreases from left to right the periodic table.

  • The density of the unit cell:

  Massvolume = density

  • 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

(c)

Interpretation Introduction

Interpretation:

Number of silicon atoms per unit cell has to be determined.

Concept introduction:

  • An ionic radii are the radius of an atom's ion in ionic crystals structure.
  • An ionic solid is made up cations and anions held together by electrostatic forces in a rigid array or lattice.
  • Positive charge ions are cations and negative charge ions are anions.
  • Lattice Energy is mainly depends on the charge on the ion and radius or size of the ion.
  • Ionic radius increases from top to bottom on the periodic table.

  Ionic radius decreases from left to right the periodic table.

  • The density of the unit cell:

  Massvolume = density

  • 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

(d)

Interpretation Introduction

Interpretation:

The density of the silicon atom has to be identified.

Concept introduction:

  • An ionic radii are the radius of an atom's ion in ionic crystals structure.
  • An ionic solid is made up cations and anions held together by electrostatic forces in a rigid array or lattice.
  • Positive charge ions are cations and negative charge ions are anions.
  • Lattice Energy is mainly depends on the charge on the ion and radius or size of the ion.
  • Ionic radius increases from top to bottom on the periodic table.

  Ionic radius decreases from left to right the periodic table.

  • The density of the unit cell:

  Massvolume = density

  • 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

(e)

Interpretation Introduction

Interpretation:

The radius of the silicon atom has to be identified.

Concept introduction:

  • An ionic radii are the radius of an atom's ion in ionic crystals structure.
  • An ionic solid is made up cations and anions held together by electrostatic forces in a rigid array or lattice.
  • Positive charge ions are cations and negative charge ions are anions.
  • Lattice Energy is mainly depends on the charge on the ion and radius or size of the ion.
  • Ionic radius increases from top to bottom on the periodic table.

  Ionic radius decreases from left to right the periodic table.

  • The density of the unit cell:

  Massvolume = density

  • 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

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 12 Solutions

Chemistry & Chemical Reactivity
Show all chapter solutions
add
Ch. 12.2 - In the process of making lithium metal, Li2CO3 is...Ch. 12.3 - Which sodium halide has the most negative lattice...Ch. 12.3 - 2. The lattice enthalpy for NaCl is defined as the...Ch. 12.3 - Given that the molar enthalpy of formation, fH, of...Ch. 12.4 - 1. Germanium was one of the first materials used...Ch. 12.5 - Based on a CC distance of 139 pm, what is the...Ch. 12.5 - If a graphene sheet has a width of 1.0 micrometer,...Ch. 12.5 - Estimate the thickness of a sheet of graphene (in...Ch. 12.5 - 1. Which of the following allotropes of carbon is...Ch. 12.5 - A soft, white waxy solid melts over a temperature...Ch. 12.6 - Which of the following Group 1A halides is...Ch. 12.6 - Suppose you wanted to cool 100. g of water from 20...Ch. 12.7 - 1. Refer to the phase diagram for CO2 in Figure...Ch. 12.7 - How many tin atoms are contained in the tetragonal...Ch. 12.7 - Using the dimensions of the unit cell (Figure 2)...Ch. 12.7 - The density of gray tin is 5.769 g/cm3. Determine...Ch. 12.7 - Determine the percentage of space occupied by tin...Ch. 12 - Outline a two-dimensional unit cell for the...Ch. 12 - Outline a two-dimensional unit cell for the...Ch. 12 - One way of viewing the unit cell of perovskite was...Ch. 12 - Rutile, TiO2, crystallizes in a structure...Ch. 12 - Cuprite is a semiconductor. Oxide ions are at the...Ch. 12 - The mineral fluorite, which is composed of calcium...Ch. 12 - Calcium metal crystallizes in a face-centered...Ch. 12 - The density of copper metal is 8.95 g/cm3. If the...Ch. 12 - Potassium iodide has a face-centered cubic unit...Ch. 12 - A unit cell of cesium chloride is illustrated in...Ch. 12 - Predict the trend in lattice energy, from least...Ch. 12 - Examine the trends in lattice energy in Table...Ch. 12 - To melt an ionic solid, energy must be supplied to...Ch. 12 - Which compound in each of the following pairs...Ch. 12 - Calculate the molar enthalpy of formation, fH, of...Ch. 12 - Calculate the lattice enthalpy for RbCl. In...Ch. 12 - Considering only the molecular orbitals formed by...Ch. 12 - How many molecular orbitals will be formed by...Ch. 12 - Conduction of an electric current is a general...Ch. 12 - Most metals are shiny, that is, they reflect...Ch. 12 - Elemental silicon and carbon (in the diamond...Ch. 12 - List the Group 4A elements in order of the size of...Ch. 12 - Define the terms intrinsic semiconductor and...Ch. 12 - Is aluminum-doped silicon a p-type or an n-type...Ch. 12 - A diamond unit cell is shown here. Unit cell of...Ch. 12 - The structure of graphite is given in Figure...Ch. 12 - We have identified six types of solids (metallic,...Ch. 12 - List the general properties of each type of solid.Ch. 12 - Classify each of the following materials as...Ch. 12 - Classify each of the following materials as...Ch. 12 - Benzene, C6H6, is an organic liquid that freezes...Ch. 12 - The specific heat capacity of silver is 0.235 J/g ...Ch. 12 - Consider the phase diagram of CO2 in Figure 12.28....Ch. 12 - Use the phase diagram given here to answer the...Ch. 12 - Liquid ammonia, NH3(), was once used in home...Ch. 12 - If your air conditioner is more than several years...Ch. 12 - Sketch a phase diagram for O2 from the following...Ch. 12 - Tungsten crystallizes in the unit cell shown here....Ch. 12 - Silver crystallizes in a face-centered cubic unit...Ch. 12 - The unit cell shown here is for calcium carbide....Ch. 12 - The very dense metal iridium has a face-centered...Ch. 12 - Vanadium metal has a density of 6.11 g/cm3....Ch. 12 - Calcium fluoride is the well-known mineral...Ch. 12 - Iron has a body-centered cubic unit cell with a...Ch. 12 - You can get some idea of how efficiently spherical...Ch. 12 - Consider the three types of cubic units cells. (a)...Ch. 12 - The solid-state structure of silicon is shown...Ch. 12 - The solid-state structure of silicon carbide is...Ch. 12 - Spinels are solids with the general formula AB2O4...Ch. 12 - Using the thermochemical data below and an...Ch. 12 - The band gap in gallium arsenide is 140 kJ/mol....Ch. 12 - The conductivity of an intrinsic semiconductor...Ch. 12 - Which will show the highest conductivity at 298 K,...Ch. 12 - Identify the following as either p- or n-type...Ch. 12 - Diamond-based semiconductors are currently of...Ch. 12 - Molecular solids, network solids, and amorphous...Ch. 12 - Like ZnS, lead(II) sulfide, PbS (commonly called...Ch. 12 - CaTiO3, a perovskite, has the structure below. (a)...Ch. 12 - Potassium bromide has the same lattice structure...Ch. 12 - Calculate the lattice energy of CaCl2 using a...Ch. 12 - Why is it not possible for a salt with the formula...Ch. 12 - Two identical swimming pools are filled with...Ch. 12 - Spinels are described in Study Question 53....Ch. 12 - Outline a procedure to calculate the percent of...Ch. 12 - Phase diagrams for materials that have allotropes...

Additional Science Textbook Solutions

Find more solutions based on key concepts
Show solutions add
The roles of protein in the body include all but a. blood clot formation. b. tissue repair. c. gas exchange. d....

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Explain why somebut not allof an organism's genes are expressed.

Biology: The Unity and Diversity of Life (MindTap Course List)

What is needed to designate a position?

An Introduction to Physical Science

Define the following terms: a. chromosome b. chromatin

Human Heredity: Principles and Issues (MindTap Course List)

________ in a trait is indicated by a bell curve.

BIOLOGY:CONCEPTS+APPL.(LOOSELEAF)

A pond of water at 0C is covered with a layer of ice 4.00 cm thick. If the air temperature stays constant at 10...

Physics for Scientists and Engineers, Technology Update (No access codes included)

How does an arthropod growth curve compare with yours?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin