Problem_Set_8_Answers

Problem_Set_8_Answers - Chemistry 341 Molecular Structure,...

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Unformatted text preview: Chemistry 341 Molecular Structure, Chemical Bonding and Dynamics Fall 201 1 Problem Set 8 Due: Monday November 21 Answer ANY FIVE (5) questions. 1. SAB Problem 12.15, p. 456. 12.15 The symmetry elements for the staggered form of ethane are given in Table 12.3, and it is in the ng point group. What are the elements for the eclipsed form of ethane (this is the sterically hindered form), and What is the point group? Quoam'to‘ .L -\-o Uzwmkw pwgtc-hdw‘ 01 flame. .1. C3 0.): is QMA bisecl’x'n.) C—C buns] 2. SAB Problem 12.1%, p” 456. 12.16 Construct the operation multiplication table for the point group C231. "C\ ‘>‘ A e u ; x ) C177, 2; = “‘3 3 A “A “a 7a a 3 ’3 . F\I~(‘$+ A A " Ee=§ A A A {352:9 CZE=C1 “é 2—.2 1' E: 1 exam “(3 I} _ X t m: «4% < \ s s "’3 A X 02”?» = (3 7y ’2: A c ‘ (at N _ AC13\_ Q 5 “0‘9" “Q X (at) -x ‘x‘ ' 65% C? (13‘ 01 5(w)‘ (2‘5 b 7r is A x ‘x A. $3: ("3 3 _ “h: A A' A . c2: (x — Cl?” - “ “Ar ‘ j} ‘ “f ’a a a " Cic,‘ 2‘E at 2 = E A b '- E CVl-H. coh‘V‘knuecX} ‘ " can \ a x " W3) - —u Oje ‘3 -. We (_§§= "a '7: "2: c2"? = (1);) “IB "‘0’ " 816M»: ‘- €2.09 .c as» $13 2 2:*‘(’;\ t (:3) 3 '7? - A (x ’X ‘ ’L -. -.U}_ ’a ‘3 (203‘ _ > 5* cf? 8* '2 IL 0 = WH’Q my (2:35 A ~ 4 6'9 1c. (Avg: CL . "Jim sumwox‘uk We Cgrbu? mul+tvhc~+fiu ML; fluf 46m 01% Toku‘? Citron? oP-EX‘DA‘ILOWS 15 '- "z .1: SAB Pro‘eiem 1237, p 456. 12.17 List the operations associated with the S6 elements and their equivalents, if any. How many distinct operations are pro- duced? we ;\.\u.5‘\-"‘a~;\*e_ +9.9. ‘3,” opeccéceom w-A—e‘ o. m\,e<.m\e +3.3? kms. 'Le-L‘E' Submwzfi-v‘? Waxed-kw u, nevi-aka: cane 'w\. +e~e duur {-GY'M L°°k\y.bk ~+ 4‘64. flme (Lg-pwxcfil He Lou-{f 2’ Q fluke—Ms in. He Quin" SLVuLd’uwe um. \Mwe \ fl . Now Lek- us (Lo 36 warm-E‘ng Stabw-L‘d‘uJ-LA A “I g A ‘2. -A 3 “‘5 G ——-> H a 5 k 5 C. l ‘ q 7. 3 I A' 1 $3M Se. fi‘ 4-— 5 Q 2 6 3 Ghsevve+a¢drI A z A A 3 — I} Sb : A. A R . A1 3‘ - 3: z E 'Tk—emggope, 'I’Re ovdub wh\%ug 0 Fee m:\-f¢u.s are A A 5 SAB Probicm 12 3,85 p. 456. 12.18 Consider the three distinct isomers of dichloroethylene, CZHZCIZ. To which symmetry group does each belong? Which can have a permanent dipole moment? 1C2? ‘2 QZU' .51; C3- Mu\.eu~lo.r?la.m\ C—LS- l-n. - 34 c..\a\o‘coe:\'9\.-a,\zne_ ng‘ Arrows — \,2- Ai omuroefi'fléleue \EE 5, SAB Prohlem 12.19, p, 456. 12.19 The first excited singlet state of ethylene is twisted so that the two hydrogens and carbon on one side are in a plane perpen- dicular to the plane containing the other three atoms. To which symmetry group does it belong? Does it have a dipole moment? —«-<S' A, CA. New mam YJY‘oXQCA’IDW' l l (A, (L K):me VT535‘M\ sq OX \‘5 C¢J$o C7, owls) ’ I :{E32343c1’zci ) 251‘} MMWWWME, 6, SAB Problem 1220, p. 456. 12.20 Which of the molecules in Problems 12.1-12.14 can have a permanent dipole moment? F°V °~ Mo‘xeque +5 kmve. b’;'l.‘ Mu'fl" LL10 to? *b out LC, fie. yom'l’ groufs '. CnJCA or Car. 0.? “We Mo\,2_cw\€,$ +110} way-e Concazaere¢l m Walden/ts l7-~\‘> 11.“! [+3.8 ~(1-onouzkxt «PH' *‘Kod‘ cvf‘l‘ ex‘tov‘ : HIS (Cu-3 ’VC-[g (IL-«3,»A taxman .. CRZCQ CIA-1U CC?) a“ Q EV Ccpfsx QC‘W CqH-qg Crl'euopkeweW Gnu-W '3; fig (Chm-3 7L SAB Problem 12.21, p. 456., 12.21 Which of the molecules in Problems 12.1—12.14 can be optically active? 1:0“- c" M°\a°“"e 41‘ ye °P+LCL\\\} etc-Lone.) PH" Mug)’ nu’l‘ have (1..“ 9M11l$ . N154“; 8‘: a" 0.144} 31:4. . 04: ‘r We mo\em\es ) old-‘3 a“; ficfc“ Cf‘rl-grtoh H£C¢c*3 /\ C9 BY SAB Problem 12.229 p. 456. 12.22 Consider the three distinct isomers of dichlorobenzene. To which symmetry group does each belong? Which can have a dipole moment? . Chi-+0“, 9. SAB Probiem 1223,, p, 456‘ 12.23 There are 10 distinct isomers of dichloronaphthalene, C10H6C12. TWO Of them do not have a dipole moment. List these two and find the symmetry group to which each belongs. '33 /\ CzO‘VJS 1- ‘Moiecu‘ox quug, ‘0 O) “‘4‘ Fla-we \/ l 4': GYGon-‘tow Pu$5ible C29”- {£9622 t 35111 / Q \C) C3 (:1 cans __L Mulewlcur Plane cJL/ \/ (YA \7lmh-a ’a apex 0:“er Fo‘sSHoL-e, C29»: Kg) 21. , 10. SAB Problem 12.24, p; 456. 12.24 Some of the excited electronic states of acetylene are cis- bent and some are trans-bent. What is the symmetry group of these structures? (Cis-bent means that the hydrogens bend to- Ward one another, While trans-bent means they bend away from one another.) G’W an?” C1 J- \Mo\ecu\cw P‘cme ll. SAB Problem 12.25, p. 456. For the molecules in problems 12.25—12.39, give the Schoenflies symbol and symmetry elements. CgHg 12. SAB Problem 12.26, p. 456. 12.26 HCOOH (formic acid) 13, SAB Problem 1221;). 456. 12.27 U02F35' 0| £117 q? 14¢ SAB Problem 1228, p. 456. 12.28 C14H10 (phenanthrene) l5. SAB Problem 12.29, p. 456. 12.29 Fe(CN)-°g' N C CN l/ NC—Fie—CN C N 19: 16, SAB Problem 12.30 p. 457. 12.30 (HNB CD3 6%: A. Q N a, QCE’chaaCzak (osmgsk ,3 51,6. rd} ) C3axf§ .1. Mbleculox 7-1an ECRFQ L C5 4130.5 I 361),; ‘31 18. 19. SAB Problem 12.31, p. 457. 12.31 C10H16 (adamantane) ?la£e Meal-e mule 1AA var-l-nceg SAB Problem 12.32, p. 457. a: tujlae w'H—R amok A—r-vmlevvl" C “+ ol’Pfiill-e 4C3 «>6 as +h—1— Puss Wvoucg‘h Q Vex 4—3, C mm). 'l-Qe cen'l-ey- fie, C..le g, A I: w. A. A (T 5th gcgfichcsn, coo-A} 12.32 C6H202C12 (2,5-dichloroquin0ne) C1 0 C1 (planar) O megwwu+ rm: 1 i a d “ CQ a A A A ‘/*\’ g; Czwz—S'E)C2) rlfu: SAB Problem 12.33, p. 457. 12.33 HOCl H—O \ C1 20. 21. SAB Problem 1234, p. 457. 12.34 (HNBH)3 <3 mus .1. M§\et—u\m~ Yflme 3C2‘A J». C3 CLXKS 3 5“"; 47a. E.” y‘.‘ A '\ A " IL A 359‘: is) 2:3 ’scz , re. I ’34:]. SAP? Pmbiem 12.35, p. 457. 12.35 C6H3(C6H5)3 (1,3,5-mpheny1benzene) fi$§ume ?‘1~&M%§ flavgamgwia 34%. mag“ __L 41;, kgfiflifi V‘s; gmghfi§~ CE: égg 3&5 fig} 225 SAB Problem 12.36, p. 457. 12.36 CH3C1 (methyl chloride) C1 1 /f\ 23; SAB Problem 12.37, p. 457. 12.37 Ni(CO)4 Ni. q kebmhs 41 *{e $CLM1e Fahd.- %_hu\\\0 0.5 CHI! I A A A A " K § A A "Fo\-;SLE,%C7>,(=C2, gang”. 6 ngse’3.f_«’6fA_-§ 3 24. SAB Problem 12.38, p.457. 12.38 H3CCH2BI H' I L}- x Q 5“ flay-ML... J. 4o VOLVex H' 25. SAB Probism 12.39, p 457. 12.39 Pt(Br)4(NH3 )2 (ignore the H’s) [tetrabromodiammineplatinum(IV)] 9x ‘4 ‘ I 4 L60}: 019*,“ )4_”P+-“ axis I i A.“ PDT 5"» \El ix £4 filmmaef - —"%( wad”, if“ x ‘” a 5" ‘ “3% f“ «H, “ e (y i: fix; f ME 81A" A A N IL, 3,) 399‘ : iE>2C‘hC2 )2 z 32 2 26. SAB Problem 1240) p. 457. 12.40 Construct the operation multiplication table for the point group C3v. * I A A K "' A Curtis ) C5’C3176'U‘ ’G'V’GE'H} We use. N “as as 0- work'ux3 wean»? \‘3 : m ”‘ H w’ ‘m LVTSWK +ete \ohe Pain” we see F¢“o vismcg «Hits than ceciwre I we can Az‘k‘ev‘mivxe txmvdenClés Q; 4&2 3% Lawton“ pmlkuavjt‘3 ~ 27. SAB Problem 12.1“? p. 457., 12.41 In some of the excited states of benzene, the molecule is “stretched” so that the hexagon is elongated. What is the sym- metry group of the molecule in such a state? 61,033 M, undecu‘ow flame 7b¢nus L Ma\9_eu\a.v P‘ang @ 6&3,vi /i\ w 0' (x16) \/ i O‘(x%\ cure -L ‘Mo\ecm\m- (Home A. ’\ ‘ A' IL 31% z g5 ) C2L§,C1L>O ,Cdob‘) 3 M fcxtgxycx? ’u-(tz-Q‘S 28. SAB Problem 12.42, p. 457. 12.42 Wha; is the symmetry group ofI—fl)? Can it have a dipole moment? ‘ ‘PSHAAF %‘row? 2 COM!" ' F'ov 0L mo‘eoule 4-0: be. Polar, ‘v\- mud’r L¢lum3+n Owe o—[l +24; Quou‘m?‘ powd" wropr ‘- Cn ,CA, °" CVnr - mrzkre caudal. kg Po\ur. +963 Mcfiecuh 29. SAB Computer Probiem 12.A, p. 457. 12.A Show that the matrix product of the C3 operation and the C32 operation is equal to the identity operation E . A matrix for the C3 operation is given in Example 12.5. (R C Cs\ : ~ V2 ‘fi’lz O WEI/z ‘ 1[7. o o o | - V2 m7— 0 0? {€32} : "Ev/z ' V; 6 o o ‘ ~ '1 - 3/1 o -i/z Vii/z -J—fz —l[2 o o CECE) 30. SAB Computer Problem 123, p. 457. 12.3 The multiplication table for the group CZV is given in Ta- ble 12.2, and the application of these operations to the water molecule is discussed in connection with this table. Since matri— ces for these operations are given in equations 12.6-12.9, verify that aim, = C2, (7sz = 0",, and C2C2 = E, where these sym- bols refer to operations. a- R<ij3 Z: to 0 O 'I I! -l C) o o -' 0 o O t la. R) m C! L 9 r\ £3 1 0 c’ i O O 0 J A : I! (\i 1 0°" 0’0 L9 ...
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Problem_Set_8_Answers - Chemistry 341 Molecular Structure,...

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