Assignment $1,$ Weight: $10\%$ towards the final grade.

Due: $\frac{09}{18}\frac{?}{2024}$

Topics: Chapter $1-$ Introduction to Materials Science; Chapter $2-$ Atomic Structure and

Bonding, Chapter $3-$ Crystal Structures and Amorphous Structures.

Solutions to assignments must be computer generated and printed hard copies.

This is a group assignment. Include names of all the group members on your

solution.

Similarity or plagiarism across groups will be assigned zero points to all groups

involved. No replacement$/$alternate assignments will be made available.

Answer all sub questions $($if any$)$ of a problem for full credit for that problem.

All questions are worth equal points each.

Present data and information in a tabular or graphical form as appropriate.

Identify your answers clearly for quantitative questions.

Late submissions will not be accepted.

Materials are deep$-$seated in human culture. Do you agree with this statement?

Why or why not? Give examples of different materials used in different cultures and

time periods. Which materials are the most researched$/$sought$-$after materials right

now?

What are the four main types of materials? Give every$-$day examples of products

made from such materials. Identify specific material grade used in making this

product. Name a manufacturer that makes this product or the material it is made

from.

Briefly cite main differences between ionic, covalent and metallic bonding. Give

specific examples of materials that demonstrate these types of bonds.

Compute percent ionic character of gallium phosphide $($GaP$)$ given

electronegativity for Ga is $1\mathrm{.}6$ and that for P is $2\mathrm{.}1.$

What type$($s$)$ of bonding would be expected for the following materials: $($a$)$ brass,

$($b$)$ rubber, $($c$)$ solid xenon, $($d$)$ aluminum sulfide, and $($e$)$ nylon.

Given that atomic radius is $0\mathrm{.}143$ nm and crystal structure $FCC,$ calculate the

theoretical density of aluminum.

Given that the ionic radius of $F{e}^{2+}$ is $0\mathrm{.}077$ nm and that of $O^2$ is $0\mathrm{.}140,$ the crystal

structure is rock salt type, calculate the theoretical density of FeO $.$

Within a cubic unit cell, sketch the following directions $($draw separate cubes to

show each direction$)$:

a$)101$

b$)111$

c$)\frac{10}{b}ar(1)$

d$)211$

e$)\frac{3}{b}ar(1)3$

Within a cubic unit cell, sketch the following planes $($draw separate cubes to show

each plane$)$:

a$)(\frac{10}{b}ar(1))$

b$)(\frac{2}{b}ar(1)1)$

c$)(111)$

d$)(\frac{3}{b}ar(1)3)$

e$)(100)$

A sample of BCC metal was placed in an $x-$ray diffractometer using $x$ rays with

a wavelength of $1=0\mathrm{.}1541nm.$ Diffraction from the $\{221\}$ planes was obtained at $2$

$=88\mathrm{.}838.$ Calculate a value for the lattice constant $\text{'}a\text{'}$ for this BCC elemental metal.

$($Assume first$-$order diffraction, $n=1.)$

Questions $4-5-6$ only