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KL1134: Physics for Engineers

Assignment 1:

The classification of materials, model theory and atomic energy, atomic

bonding, ion and molecules

1. Give the electron configuration for the Fe3+and S!ions

. "alculate the force of attraction #et$een a K+and an %!ion $hose centers

are se&arated #y a distance of 1.' n(

3. )he net &otential energy #et$een t$o ad*acent ions E, (ay #e re&resented

#y the su( of e-uation of 1/ and /

EN= - A/r !!!!!! 1/

ER= B/rn !!!!!! /0

that is

EN= - A/r + B/rn !!!!!!!! 3/

"alculate the #onding energyE0in ter(s of the &ara(etersA, Band nusing

the follo$ing &rocedure:1. ifferentiateEN$ith res&ect to r and then set the resulting e2&ression

e-ual to ero #ecause the curve ofENversus ris a (ini(u( atE0.

. Solve for the r in ter(s ofA, Band n$hich yields r0 the e-uili#riu(

interionic s&acing.

3. eter(ine the e2&ression forE0#y su#stituting r0into E-uation 3/.

4. istinguish the (ain difference #et$een ionic covalent and (etallic

#onding.

Crystalline and Noncrystalline

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1. Sho$ that the ato(ic &acing factor for 5"" is 6.'7

. "alculate the radius of an iridiu( ato( given that 8r has an F"" crystal

structure a density of .4 g9c(3 and an ato(ic $eight of 1. g9(ol

3. )he ato(ic $eight density and ato(ic radius for three hy&othetical alloys

are listed in the follo$ing ta#le. For each deter(ine $hether its crystal

structure is F"" 5"" or si(&le cu#ic and then *ustify your deter(ination.

; si(&le cu#ic unit cell is sho$n in Figure 1

Figure 1 hat $ould this crystal structure #e called=

c/ "alculate the density of the (aterial given that its ato(ic $eight is 14?

g9(ol

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Figure

?. >ithin a cu#ic unit cell setch the follo$ing directions:

a/ @116A d/ @111A#/ @61A e/ @13A

c/ @133A f/ @163A

'. Setch $ithin a cu#ic unit cell the follo$ing &lanes

a/ 611/ e/ 111/ g/ 13/

#/ 11/ d/ 131/ h/ 613/

7. eter(ine the Biller indices for the &lanes sho$n in the follo$ing unit cell: