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Ss_quiz_1 - E-344 Fall 2005 Quiz 1 6 October 2005 Name ID Honor Pledge Use the backs of the pages if you need more space Clearly label any work

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Unformatted text preview: E-344 Fall 2005 Quiz 1 6 October, 2005 Name: ID#: Honor Pledge: Use the backs of the pages if you need more space. Clearly label any work there with an appropriate question number. 1. (20 points) A table of electron energy levels for various elements is given below. Table: Electron energy levels (eV) for Cr K L1 L2 L3 M1 M23 M45 5989 695 584 578.5 74.1 42.5 2.3 (kB=8.61?x10‘5eWK; 1eV=1.6x10-19 J; R=8.3144 aniole-K; h=6.6260755 10-34J-sec). A. Using the data in the above table, sketch a possible energy-band diagram characteristic of a single crystal of pure chromium (Cr) with a mass of approximately 10 g. B. Suppose the crystal is irradiated by a beam of soft X-rays whose wavelength is 10 nm. What effect might these X-rays have on the electrons in the K shell (1s orbital) and on electrons in the M shell (3s, 3p, 3d) of the Cr crystal? Quantitativer justify your answer. W \NDBOYW Vow"? To no ' swmw w Vowgw WV wads 5mm.) Fox; ZQ‘QDMUM V3 m R \0? Mini; mu. WK “W 0““ “WWW Manx. Tm.va M: (mmw 'WS \mu W61st m 93- ‘m. sfibeunma W. LWLS) m We W M33.) WM. N— koth Va Shaman {bemmt WMWS- 5hde mam-w {S A Hmkk“ \T v: A own mam-«mi CBthtxc/TEE‘“. .. \W_.) M" '05 N05? X‘s); 0&3?me935 (9&— W Wu M :JS. Fur-fin?" MJ‘Exgkk “v cm).th “W onv duh ENVCY HUzLW to E74 Wfi-kfiX a hfiw'xi-Ch £ gritty? “Exam TO mm: flow/S Q r ‘Q 2:. t. t; @636 “Of-3H ‘3: 3 fa W8 W \mm W wthg. WM W31 go W'%W' (Rb-3 'M VJ$M &Lha40r7b snout \‘ZVL {3U wxxx we"? %m..-m1 RKRWM we WWV Pflxomlfic W.er aux/Ma paving; W $3.0 M W RUL‘CAWM (“Ankh Hg; 3 .W wkxk 3’97 2) (20 points) A. The viscosity, '1’}, of fused silica is 4x10}1 Pa«sec at T=1200 0C and 3 x 107 Pa-sec at 1400 0C. If the glass transition is defined to occur at a viscosity of 3x1013 Pa-sec, determine the glass transition temperature, Tg, characteristic of this material. Show your work. (kB=s.6i7x10-5evn<; 1eV=1.6x10-19J; R=8.3144Jlmole~K;h=6.6260755 10'34J—sec). B. Suppose a small amount of sodium (Na) and potassium (K) is added to the fused silica. Would Tg increase, decrease, or stay the same. Justify your answer. C. As part of a promotional advertisement, a glass manufacturer includes in one of its brochures the adjacent plot. Is this an accurate representation of the temperature dependence of glass Viscosity? Briefly explain. s 1/T fiW B-Lt’srm‘\‘ 35-” -'5" my \‘Ws, \EAZ- \L... OFF-N5 EL 3 \0.0a\l \ ~32" LUWD‘ : ’ZJ-IUAD \fi’a-M 861113th N $1.9M \3 W904?- ”L Stme km [SW Wm \wflmamfl T. W1 5fka SWULB \QD\L Lxucf. Mk\ / nun—9"” 'L r—fifim— 3) (20 points) The potential energy, U(r), as a function of interatomic distance, r, characteristic of Na and Cl ions in NaCl is given as: 7.32x10—6ev- nms _1.436eV-nm 1’8 F U(r)= (A) Determine the equilibrium distance between a Na ion and a Cl ion at 0 Kelvin. (B) The design of a bridge must take into account changes in dimension due to thermal expansion or contraction as the r) seasons change throughout the year. The two adjacent schematic plots describe the interatomic potential, U(r) vs I , for two different candidate materials for use in a bridge. Which of these materials — dashed or solid - would be the more desireable choice for uSe in bridge construction? Briefly justify you answer. Wt, haswcfis cm V’s may $3;sz W W Search at» We oLA my «tr-LL. W W %_K\>MJ%\DN (mafia: VENT w New MMM w\\\ 13‘; ctr-SS We ~— £‘--- a as. Wkt‘ :. me New *fmd’rk m o m e. \5 Wm bfiswwwn m4 r_________ m 4. (20 points) A. On one or more simple cubic unit cells identify the: (i) (2 T 3) plane (ii) [0 2 1] direction (iii) (U2, 1, 0) poetion. I I. h B. Molybdenum (Mo) has an atomic weight of 95.94 g/mole, its density is 10.2 g/cm3, and its atomic radius is 0.136 nm. Determine if Mo has the FCC or the BCC crystal structure. 0° .11 ® Vi E; I fimfiflk‘xQfigmfimma 55““ yw‘i‘ 3 ex; - (a! 3— 6 . .143 Q " kS‘KB .. 23$ Egan: L- : \o.2‘3 We} fee mum cm gm; “5‘5 R 7“) £79111. 3 \\ .'Z g/cxjfi WVS/g_.&k m &4:%E— “on Page - 4 5. (20 points) PZT (PberTiHOg) is a crystalline ceramic material which has attractive piezoelectric properties and is used to make microactuators. It can be made by reacting lead oxide (PbO), zirconia (2102), and titania (TiOz) in the proper ratios. Its unit cell can be represented with a lead ion in the cube center, titanium or zirconium ions at the cube corners, and oxygen ions centered on the cube edges. (A) Use the Miller index notation to describe the positions of each of these ions in the unit cell. (B) Confirm that the unit cell contains 1 Pb ion, a total of 1 Ti or Zr ions, and 3 0 ions. (C) Confirm that the unit cell has a net neutral charge. (D) Would the introduction of Zr into PbTiOg be considered a substititional addition or an interstitial addition? Briefly justify. \ YE: 0235 TC 09’ 2: t- @3030} (EJKD) L‘QfiBLOfi no Legato {\uo‘fibix‘fl togt\\ O" :0\O\L “A?” 30\ fisKDSLDV‘iSQS Losoii U @345 k\‘\\-‘A Q3; alt Limo L\Qi3\\U-iu\§\ tit 03 ' ® l)». Ham 9 @521 3A Emit may; its out cats T: at %t 3 (Q mg 3 \ Let‘w‘ttfit swab EA, ‘3 WW Chm-S o : \7, i t; :- 3 Lit—mi 0 w ewee l3"- ‘V‘ Oct-Ella “a t \ :\ 2E (fittest bWW‘T ' \‘L-"Z. \‘K .-’x~“’\ i\x"'\4\ ‘ “>7 7? T1 m . ETOzS-Y“:'l 3 a "Semi, "" H w . l K. O J) O Q ..... miss: (mm-t x EEME 2: M T: W {zigywaflvg was WA"; and M. ZQQMF-h}. (a. (722‘) a Page - ‘5 Ff—fim In the following multiple-choice problems, circle the one answer which BEST completes the ! sentence. 3 points per problem. No partial credit. 6. The atomic number for Zr is 40. Its electron configuration can be represented as: a. 18225221363 323p63d1°4sz4p65 (:14; b. l$221383523p63dm4524p65d6; c. 1522522p63323p63d104s24p64d4; @8225221363$231363Cl'0452‘54365524d2 7. The word alloy commonly refers to: a) a multicomponent ceramic ; b a compound semiconductor; metallic solid made up of two or more elements; steel; e) none of the above. 8. Ceramic materials are often made by powder processing, because: a) ceramic single crystals can be easily deformed; b most ceramics have relatively low melting temperatures; me powder can be cast or shaped prior to sintering; d) many elements are found naturally as oxides; e) all of the above. 9. A polycrystalline material: - is amorphous; 6 8 made up of many single crystals, each with different orientations; c) does not contain grain boundaries; (1) is a single crystal; e) none of the above. 10. Cement is an example of a ceramic material made by: a. solidification processing; chemical reaction; 0. deformation processing; d. evaporation processing; c. none of the above. ...
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This note was uploaded on 10/03/2009 for the course E E344 taught by Professor Libera during the Spring '09 term at Stevens.

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Ss_quiz_1 - E-344 Fall 2005 Quiz 1 6 October 2005 Name ID Honor Pledge Use the backs of the pages if you need more space Clearly label any work

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