Homework Help is Here – Start Your Trial Now!
Science
Chemistry
-. Simple Cubic Unit Cell a. Consider one unit cell and assume the length of the side of the cube is "a". Remember that "a" is the distance between the centers of two adjacent atoms. How long is "a", the edge of a unit cell, in terms of radius, r, of an atom? b. A simple cubic cell has the equivalent of only 1 atom. Recall the volume of sphere with radius, 1, is expressed as V = 4/3 Tư. With this information, find the total volume of all the spheres in this unit cell, expressed in terms of r. To do this, take the total number of atoms and multiply it by the volume of one atom, with radius, 1) c. Find the volume of the entire unit cell including the empty space in terms of r. Remember for a cube the volume, V= 1lxw xh. You already know the edge length of the side in terms of “r" based in the earlier questions. d. Find the fraction of the total volume of the cube (which is the unit cell's volume) is occupied by the atoms. Express this as percent and write your answer in the summary table.

-. Simple Cubic Unit Cell a. Consider one unit cell and assume the length of the side of the cube is "a". Remember that "a" is the distance between the centers of two adjacent atoms. How long is "a", the edge of a unit cell, in terms of radius, r, of an atom? b. A simple cubic cell has the equivalent of only 1 atom. Recall the volume of sphere with radius, 1, is expressed as V = 4/3 Tư. With this information, find the total volume of all the spheres in this unit cell, expressed in terms of r. To do this, take the total number of atoms and multiply it by the volume of one atom, with radius, 1) c. Find the volume of the entire unit cell including the empty space in terms of r. Remember for a cube the volume, V= 1lxw xh. You already know the edge length of the side in terms of “r" based in the earlier questions. d. Find the fraction of the total volume of the cube (which is the unit cell's volume) is occupied by the atoms. Express this as percent and write your answer in the summary table.

Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter12: The Solid State
Section: Chapter Questions
Problem 50GQ: Consider the three types of cubic units cells. (a) Assuming that the spherical atoms or ions in a...
See similar textbooks
icon
Related questions
Question
1. Simple Cubic Unit Cell a. Consider one unit cell and assume the length of the side of the cube is "a". Remember that “a" is the distance between the centers of two adjacent atoms. How long is “a", the edge of a unit cell, in terms of radius, r, of an atom? b. A simple cubic cell has the equivalent of only 1 atom. Recall the volume of sphere with radius, r, is expressed as V = 4/3 r. With this information, find the total volume of all the spheres in this unit cell, expressed in terms of r. To do this, take the total number of atoms and multiply it by the volume of one atom, with radius, r) c. Find the volume of the entire unit cell including the empty space in terms of r. Remember for a cube the volume, V=1 xw xh. You already know the edge length of the side in terms of "r" based in the earlier questions. d. Find the fraction of the total volume of the cube (which is the unit cell's volume) is occupied by the atoms. Express this as percent and write your answer in the summary table.
Transcribed Image Text:1. Simple Cubic Unit Cell a. Consider one unit cell and assume the length of the side of the cube is "a". Remember that “a" is the distance between the centers of two adjacent atoms. How long is “a", the edge of a unit cell, in terms of radius, r, of an atom? b. A simple cubic cell has the equivalent of only 1 atom. Recall the volume of sphere with radius, r, is expressed as V = 4/3 r. With this information, find the total volume of all the spheres in this unit cell, expressed in terms of r. To do this, take the total number of atoms and multiply it by the volume of one atom, with radius, r) c. Find the volume of the entire unit cell including the empty space in terms of r. Remember for a cube the volume, V=1 xw xh. You already know the edge length of the side in terms of "r" based in the earlier questions. d. Find the fraction of the total volume of the cube (which is the unit cell's volume) is occupied by the atoms. Express this as percent and write your answer in the summary table.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
Chemistry
ISBN:
9781337399074
Author:
John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:
Cengage Learning
Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
Chemistry
ISBN:
9781133949640
Author:
John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:
Cengage Learning
Chemical Principles in the Laboratory
Chemical Principles in the Laboratory
Chemistry
ISBN:
9781305264434
Author:
Emil Slowinski, Wayne C. Wolsey, Robert Rossi
Publisher:
Brooks Cole
General Chemistry - Standalone book (MindTap Cour…
General Chemistry - Standalone book (MindTap Cour…
Chemistry
ISBN:
9781305580343
Author:
Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781133611097
Author:
Steven S. Zumdahl
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS