### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# STRUCT OF ENGINEER MATLS MTLE 2100

RPI

GPA 3.61

### View Full Document

## 90

## 0

## Popular in Course

## Popular in Materials Science Engineering

This 13 page Class Notes was uploaded by Brenna Jenkins on Monday October 19, 2015. The Class Notes belongs to MTLE 2100 at Rensselaer Polytechnic Institute taught by Minoru Tomozawa in Fall. Since its upload, it has received 90 views. For similar materials see /class/224872/mtle-2100-rensselaer-polytechnic-institute in Materials Science Engineering at Rensselaer Polytechnic Institute.

## Similar to MTLE 2100 at RPI

## Reviews for STRUCT OF ENGINEER MATLS

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/19/15

Appendix 8 Vlass Absorption Coefficients Mp cmzgm md Densities p III muss absorptioncucl39l39Icicnls are extracted from much longer tables from tho mrIIuIIrmIICIWIIlm jnr IJt uy CryA39l IUI39lllily OJ Although tllcse coefficient n given to 0mm gnl cunl digits Ihc actuIl ucc 39 umcy Is much less the nnc 39 t 39 IIIng from less than 2 percent 10 mm I u lmy c than 13 percent dc endin o l i h n l an walength G I should be consulted inr details P g absorbquot The dcgs les of elements solid at room temperature except P are x ray lentil cs roun u nitquot from G l Demitics39 of l l l w 1 A w I I gascs are from Merrl FluvcldndAmcrIcan SocIcty fur Metals W48 H Handboah Mu I u 39 I 0 l u I lIIl I wit I m A I IIqu Ian Hul39A 103A 1 quotquotqu VIII II quot3927 ILJIIw II III IIJIIIiz II WM II WW III I I I Inquot Iquot I IIIIIIII n i39l39lJ II 3241 II Inquot II wax I win Incl lull I ll 4 m 0 mum mm mu IIIIIII IIIMI I I I mm n V 7 Ill l IIIJIII Ilti l I7 w I lquot7 ll m I I mm II mm 7 H I W I I V Ml 7 lg 5 In 2 171IIIIIIILI II in Imm I III Hm mm IIIII u M m I mm mm 7 H Sm I II luul libquot m 1 m I I w unm II III mm IIII pus l7 InwIu39 ll il nus A l llhlI J VI IKW III mum II I 7 m I W 211 Inn 74 III law 7 7x quotquot117 inquot III In a 47 u III III III 7 z m 39339 nlil 0th hi Rl 7 W I ll l H um um I714 7774 XIII Isa 1107 I M Hum 7 M Ir 1 Iu l7 IIIII I 7s 701 7 ml 77 7 M IIxn Mum NH Itil i I l 1 w I II NI 7 h 92 MIMI III 39lil39l um I Ith MIN quot47 339 I 250quot I III I mu hum m I 75 mm III 7 mu mm 11v 171 I I II 757 II IIIII tinquot IIIIII III II M I 4 mu El 4 I M Uh 7I l 1137 2 It II II 7 my will m I III I I7lt ll I45 H m 79 7 I w 7 Im I WI mi 7775 H I run I I I III I WI LIII I 29 n w 47 7 I34 I AM 2x II 391 7lt v II In 7 I II IIIu in II suz I5 W 5 Is In IIII 7 IIIIIII I717 7211 IAIII III Ii 739W InnI my H II mm 77 III II I 715 7 III I H II III1II m I hi n l IsI In It MI I I MUN IN HH MI I P Appende 8 Mass Absorption Coefficients Lp cm lgm and Densities 631 M 39I u 39x enquotY Kn A Il In x11 A39a N M A39Il Ammo ull nl u m A um A I 54 A 13972 A IJIIII A I IIZI A I M A II A III KI MM In l mu Inn 1quot 3 AM 7 ML Iu h 1207 I7 lib I H mm m In ISquot I III II I 7 Nut w SI 1 M n15quot IiM l 755 m 1quot 3 mm W I It 7 w III III IIIquot 1 HS Il may mm In 1 I SI 7s m lIHJ III II mm mm um II Ni I III In 3 II J 1 II I704 III UM 2 Mn llll LI 2 quotIn 11m IIIIII 574 MS I l r ll ltII H I mu an IuI u 4 5 I lItII u no I II N III I m 250 II 2mm ltI 79 Im II J uh I L IIIM M l MHI 3 II S lt7 41 VII I7 III I7 i IV I u I 214 u Sm 4531 47 At 105quot iquot III In m 3 14m M7 III IIII39II xm III LI mu Lll R 7a I MIMI 5135 In Ill 7 tquot 21 III Ixu III 7 77 i 105 II Wm ltII Kn 131 I39ll I 7I I mi 397 mm mm 71 Sh nil39 LI uI IIII I j39it I IIIII 7n 7IIII lt3 I I 1 4 7 1034 II 4 III 7 7pm I 7 51 I l l 14 5 221 II Iquot II In 1 7m 2 0505 I K Jug u I 27 III 2 II 45w 7 It 75 this 2 39 v I 2x n 4x7 x In I Kill 7 12M 11II 351le 4 ll IR 1 sin 3 MI H Iii 27in IIII II Int 1 131 ML H u 2w I ssu I m 2am son I III mo Ii wquot M mm 105 III III IUJI HI m 27I m a In u 1quot 4 mi 4 0 t It 1 4 HI III 41 i II III 2mm 44 74 quotIll l IM 1 In It 7 H I quot7 L HIV hm 7 MN Ii II mi 1w II I IR 117 I 31H m III 1m I II II II 3517 a 7 Nu IIIIIII I463 v1 507 J IiY I m I iu i N 3501 71 II Mu w 2 I III 7 I 4 it lMquot 40vquot 2 III III 7 I14 I In 4305 M H I I II 1i i I7III 4450 mm ILLI III I IIIIII Is 70 I7 III I M 3939 NJ 7 am I 7 I I I7 I 3II II 20 l NM 7I II III I 1701 2min SIB 401 77 III II I I 1x1 4 2IIIII 5III All IIII i m 1 J05 111 II 71 4419 5139 mm It 15 thI 440 7 as In INI II7II LII 7 vn II mm Int N m I 14 I y 7 mm JIIJJ on In IN I MI II 21 II 0445 50M I 5n I57 5 1 I 1 Is an 2 5141 um III ll W I HIu 7 7n 4 3712 71 4 1m I IIII il IIIIII am I Mm 73 391 Law 1 w I iitI I 77m M74 7mm 71 IIIII 4IIIII Imz nu MTLE2100 Structure of Engineering Materials Homework 1Answer 1 Assume zone axis h k 1 For the three planes to belong to this zone the dot product between the zone aXis and the plane normal has to be perpendicular Therefore for110 hk0 1 311 3hk10 2 132 h3k210 3 From 1 h k Substituting to 2 and 3 2k l and 2k l The solution is 112 The three planes belong to a zone with the zone aXis 112 2 ca in hexagonal Triangular pyramid shape 2X height of the pyramid c 2r a From the corner to the center of the triangle 2r 3 2W3 2W3 202 h2 2r l32 h x1 4r2 4r23 2r23 c 2h 4r 123 ca 4r232r 2423 1633 3 FCC 4 atomsunit cell 4 octahedral sites one in bodycenter one on 12 edges each shared by four unit cells 14X 12 3 8 tetrahedral sites behind 8 corners HCP 6 atomsunit cell 6 octahedral sites three between Abottom and B planes39 another three between B and A top planes 12 tetrahedral sites three between Abottom and B planes339 another three between B and A top planes3 One above the center atom on the bottom plane and one below the center atom on the top plane2 Above the corner atoms on the bottom plane and below the corner atoms on the top plane The last set of sites are shared by three unit cells thus contributing 13 X 6 X 2 4 The grand total 12 4 The critical radius ratio Tetrahedral site Consider 18 cube of the fcc structure see diagram below Tetrahedral site should be in the center of this small cube The edge length of this small cube is a2 The body diagonal of this cube is V3 a2 The distance between the corner to the center of this cube is V3 a4 This should be equal to the distance from the corner to the center of the tetrahedron which is equal to the sum of the anion radius R and cation radius r V3a4Rr From the face diagonal of the fcc V2 a 4 R a 2V2 R Therefore V32 12 R4 R r V3 V2R2Rr V3V2R R r oh 12 1 R r rR V3V2 1 0225 Octahedral site is at the center of four contacting spheres on a plane The diagonal of the square V2X 2R 2Rr V2 R Rr 012 1 R r rR V2 1 0414 Appendix 6 Crystal Structures of Compounds and Solid Solutions Appendix 7 XRay Wavelengths All the following values are extracted from much longer tables on pp 643 of Vol 4 of the lllll l ltlllll39nllll IPIhles for X39Rny quotrt sMlugraphy 61 which are in turn taken from I A Bearden Rev Mod l l1ys 3 78 1967 EKu is the energy W of the unresolved Kn line to the nearest 001 ch The L I lquot S 39 r 7 t buhstnnce tyne ul slructurc Imm A IIr ticltHV Bv values In Gl are of higher accuracy In computing EtKu Kn ts given twace the weight of lkaj NHf I 1 5 03quot 2820 The wavelengths are given in A units39lhis unit is hf7111 th the wavelength of 1 39 g3 the WKm line 02090100 A39I39he M unit is believed to be equal to the mtgstt um I 39 l l r t w L 1 A to Within 5 parts per I mlhon and Involves a conversmn actor 0 1010056 39 lllllunlc u 540 1000005 AlkX Because tlll1t still remaining uncertainty in this conversion factor n 0 W it was decided to introduce the Aquot unitfl39he distinction between A and Aquot is net LM Lquot lc39 m quotquotl l quotlCquot u 46quot 30 ligible except in work of the very highest accuracy 53910 1 u it I 39 quot 4399quot a t t 3 l 39 LKlgl udl 0 L 7 a w anelcngths tn A llllllh and luncn s in keV ut home harnetcnsuc tmtssttnt Linen nnd 39 Ahunptiun Edge 0 51 HJKAlngioqh M 4 h 7 590 mien ntuscnvitcl um quotm c EILIS 390 08 W HM A39 Kquot K In 3 u 9811 I rnnml this i mung uy mung url nut i a no 1 4525 FeiC cementilc rthurhuntlnc h A 50 iii L39 r 074 010 m t N 7 at 4 3555 HiWA 1 M Austemte FCC AI H Weight percent Il 1 h 2 J2 v Illut ltt U Ul hun IIX HIIItI ll N Jul u r 2867 0013r I39M 390 139 W H 639 4quot t Itwm vm use 2 Mm39tctntile Htquotl etmgmm L r 07 t J 1m Hu 1 1 It mm 7000 rum mu Ll weight percent n 7 mat 1 DMZ nm b in IL mun 1 u t l 1 lt1 lt 7m 37m N 2 ll HUM Hill I III 4 I l4 4 J I Ku l KNNY J lt m I t M 1416s It rm when mm 103 11 439 4m 71 ms 4 n H Wt 1mm 1 a 1m t 039 NJ 1 2 lv ll 21 2 JI 2 quot087 Ell39lll39lll 311 Ill 1 500 1 um lllel III05 n 4 WWI 7 W 7 523 wt I n2n7 t I I 1507 Him 747 t stunts 02mm 14501 1139 quotA N l l lt W V 121quot quotW tux 1 mm 1 155 1052 21L 7 lZJJl mm quotmquot I ummmum imumu mum fid ums unljo snug l 1 anqunukmlL My p mm 1quot nmu mm n luy wilw39u mmuLu non IL n mum II H mm im39ms I 39 WHOM J Lumm39z an HI Iluum jm ny Stump my 3mm pnmrlwml In 4 s39lu unpncm y pan Mnmuum mung L xlpuaddv m mllun ICLII Ulln 0 mm I 2 Wm H Lu I I H mm H WW I u LL39IWIII Im a mum WU mm Al snail 1 mum I rluLtm u butquot u m luau u Lth n A u u Nmu u wmi u HEYquot H mam n run I r U krmts I rush I va u an u N h I II quotENll I u rm u M39Ml II N Ll39u mml u 1mm 1 PPM PE ll SMN39I39U HIMCW L39LI UI 1 II mum m my hmus my mun 5H15u3aAeM Keyx L xpuaddv g MTLE2100 Structure of Engineering Materials Homework 1 Read textbook on Materials Science for Engineers show how you obtained your answer p m A M Indicate clearly all tetrahedral sites and octahedral sites in fcc and hcp Show that the critical radius ratio for tetrahedral site is rR 0225 Equivalently calculate the largest radius of a sphere which ts in a tetrahedral site of FCC with the unit cell size a Express the radius in terms of a Show that the critical radius ratio for octahedral site is rR 0414 Equivalently calculate the largest radius of a sphere which ts in a octahedral site of FCC with unit cell size a Express the radius in terms of a Show that ca for hexagonal close packing of spheres is 1633 Using this ca ratio calculate the atomic packing factor of hcp structure Generated by CamScanner from intsigcom e VCC Ids345M 3 T w m f g OC V XE ll 10 44 Pa Win new 3 CVWQO 6323 rjnsrtag wL 4205155 GeJtQLrAV f r t e L 391 L r buoy31 Iltgtlt m Q LC l x J V 777L5 31 2w 5 A 11m 23091 A H Oca aval x 1K 3 m L e u F0 med L6H 9 1 e X 39 gtlt I who Oclahee nl 39 fr i i vI39Lm M 1 W 5 Amquot 139 I 7 39 7 r H Lola L a hr i 44mm 0 22 064 39 39k i 5 m39 Ooan 1 39 Wk o wo Hi g39fi uquot quotswim 5 230 On 56 F J 53 x a P T 39 391 39 r h J Sky5739 iJV If277 I 39f g q O li 0l 5 9quot I oran af39 6 av 3939 5 7ij V ahw ma l I l 2 QaHM amp n l c r R r ci e nL ww emk 2 1 1 U 39 1 r bea I F a 39 i V m i 2 J Iquot 3 15 Q7r m7x 0 39VVV CaLn IMI39I39 y I 314quot o J v 39 v 14 Iquot M Li O w x a h jrd 24 1 3 6 1mm I K quot r I v I LN pry l 7 7c f a v1 vquotA I 4 1quot 14 6 4t 4 M Generated by CamScanner from intsigcom Iquot 9 r 3933 39r w39IIM Z 9er i 1551 AM 0 39 Gembigger 1 F66 wl39u r cc H L w 9 MT 5 cgryrum Lobe3 owan one C413 1441 a thMcm sw x m We uni11quot f 39 a Ra gag X5 2QrbrQzx gtr R 3 1 l P39 7N l 1 I wig 0 Haws 1 l 3J1quot 00 4015 a i MK apt7166 faith 0 C 3 H le ckf lfl 9 m a emkenl 039115 a mW CH Fa 5mg nsi 9 591 5 17 4 Wquot Q Generated by CamScanner from intsigcom 0da lz fgisgi F v 2049 r I x 393 I w z w r z1mmm w w M 124 AL amp it fCJI rc Lacfew 395 ytij C 0651 9 U Zia ls X 1 2 LEV mr 39 2 4 5 Han1 ca39 r39 O HN u 1 VI31W 0 397 5 quot I 390 film r T f boy 739 quotrj39rrafzgamn r4OJUHr q 014M 2 3 3 Hi quot39 my 9 y WP w Wei 4w a WHEAX x ti xy I rW r I WW 1 frh 6391quot3 Tk fq grg VI var 3 N 040 5 W r3 1 3 451 49F Va r 2 quotHr H1 395 r E L39OHL39 rw quot APP x on t quot quot399 K w 397 N mm v r v we v I 39 139 1 Pkg3 xrrr quot til 39nr w sricm 39 3 40 f 3939b inu g Generated by CamScanner from intsigcom MTLE2100 Structure of Engineering Materials Homework 1 Read textbook on Materials Science for Engineers show how you obtained your answer p m A M Indicate clearly all tetrahedral sites and octahedral sites in fcc and hcp Show that the critical radius ratio for tetrahedral site is rR 0225 Equivalently calculate the largest radius of a sphere which ts in a tetrahedral site of FCC with the unit cell size a Express the radius in terms of a Show that the critical radius ratio for octahedral site is rR 0414 Equivalently calculate the largest radius of a sphere which ts in a octahedral site of FCC with unit cell size a Express the radius in terms of a Show that ca for hexagonal close packing of spheres is 1633 Using this ca ratio calculate the atomic packing factor of hcp structure Generated by CamScanner from intsigcom e VCC Ids345M 3 T w m f g OC V XE ll 10 44 Pa Win new 3 CVWQO 6323 rjnsrtag wL 4205155 GeJtQLrAV f r t e L 391 L r buoy31 Iltgtlt m Q LC l x J V 777L5 31 2w 5 A 11m 23091 A H Oca aval x 1K 3 m L e u F0 med L6H 9 1 e X 39 gtlt I who Oclahee nl 39 fr i i vI39Lm M 1 W 5 Amquot 139 I 7 39 7 r H Lola L a hr i 44mm 0 22 064 39 39k i 5 m39 Ooan 1 39 Wk o wo Hi g39fi uquot quotswim 5 230 On 56 F J 53 x a P T 39 391 39 r h J Sky5739 iJV If277 I 39f g q O li 0l 5 9quot I oran af39 6 av 3939 5 7ij V ahw ma l I l 2 QaHM amp n l c r R r ci e nL ww emk 2 1 1 U 39 1 r bea I F a 39 i V m i 2 J Iquot 3 15 Q7r m7x 0 39VVV CaLn IMI39I39 y I 314quot o J v 39 v 14 Iquot M Li O w x a h jrd 24 1 3 6 1mm I K quot r I v I LN pry l 7 7c f a v1 vquotA I 4 1quot 14 6 4t 4 M Generated by CamScanner from intsigcom Iquot 9 r 3933 39r w39IIM Z 9er i 1551 AM 0 39 Gembigger 1 F66 wl39u r cc H L w 9 MT 5 cgryrum Lobe3 owan one C413 1441 a thMcm sw x m We uni11quot f 39 a Ra gag X5 2QrbrQzx gtr R 3 1 l P39 7N l 1 I wig 0 Haws 1 l 3J1quot 00 4015 a i MK apt7166 faith 0 C 3 H le ckf lfl 9 m a emkenl 039115 a mW CH Fa 5mg nsi 9 591 5 17 4 Wquot Q Generated by CamScanner from intsigcom 0da lz fgisgi F v 2049 r I x 393 I w z w r z1mmm w w M 124 AL amp it fCJI rc Lacfew 395 ytij C 0651 9 U Zia ls X 1 2 LEV mr 39 2 4 5 Han1 ca39 r39 O HN u 1 VI31W 0 397 5 quot I 390 film r T f boy 739 quotrj39rrafzgamn r4OJUHr q 014M 2 3 3 Hi quot39 my 9 y WP w Wei 4w a WHEAX x ti xy I rW r I WW 1 frh 6391quot3 Tk fq grg VI var 3 N 040 5 W r3 1 3 451 49F Va r 2 quotHr H1 395 r E L39OHL39 rw quot APP x on t quot quot399 K w 397 N mm v r v we v I 39 139 1 Pkg3 xrrr quot til 39nr w sricm 39 3 40 f 3939b inu g Generated by CamScanner from intsigcom

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over $600 per month. I LOVE StudySoup!"

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.