Inorganic HopeEdu Exam 01 Key

Inorganic HopeEdu Exam 01 Key - Chemistry 322 Name EXfiW E...

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Unformatted text preview: Chemistry 322 Name EXfiW. E reg??? Dr. Clark ' Spring 2006 Examination I l. INSTRUCTIONS This exam consists of 8 pages, one sheet of scratch paper, two pages of useful information, and a periodic table. If a page is missing, let me know immediately. PRINT your name NOW at the top of ALL pages. Part A is worth 42 points. Part B is worth 32 points. Part C is worth 25 points. You will have up to 90 minutes to complete this exam. Check your work after completing the exam. Please show all your work and be certain that all your explanations are given as complete sentences. On the grading chart at the bottom of this page, CIRCLE the numbers of the questions you would like to be graded for Parts B and C. BEFORE YOU HAND IN YOUR EXAM, CHECK THAT YOU HAVE CIRCLED THE CORRECT NUMBER OF QUESTIONS FOR PARTS B (2) and C (1). PART A. (42 points) BASIC QUESTIONS. Answer ALL of the following four questions. Write your answer in the space provided. SHOW YOUR WORK & WRITE EXPLANATIONS IN COMPLETE SENTENCES. 1. For the following molecules, use Lewis dot structures and VSEPR to predict the molecular shape. Assign a point group to each molecule based on the structure you predict, and indicate if the idealized molecule is chiral or not chiral. a) XeC1F3 b) [NClF3]+ c) SBrCle )4 I3. 8 3 6: 3):]: 2: I :1 : <35? II 3 I II "I W Ci E. a GI WW :7: . it: If : N o t“ I: I»: seen 6 LI fig; 5% 2. Generate a transformation matrix for an S4 operation performed about the z axis using the right handed coordinate system below. “Derive the character of the matrix. Z r“ WIS” ' _ “gals i E) E O ‘ ‘\ :55;va i“ l” y i . \ .; 1,, III» e t. x «g C; 0 l » 3M . 3 {5” G CI wt 1 {7}»:Vi\ i? 1 gnaw M M ii“ , w 53:. {I \ “e If , ’ 5 \\ “I ‘7» for 5 "inkeéx : ‘i I igM/“W For the indicated element in the compounds listedubel’owgtdete’rm’ineE it 'i V l. the oxidation state of the atom in the compound. ’2, W as» 4 a 2. the electron configuration of the neutral atom. 5 $4: at. t , , p 3. the electron configuration of the element 1n the oxidation state in which it is Eat” tam/Q4 found 1n the compound. - g .312: a: 4:” i “" 3 £7,118 "/ M w ”W“ a')Ce 1n C52CeC16 1. t’ “at , wig»: f, {€21 5,51:sz 1%.? .i « n x ¢ «HI/- «Kiga- ”‘3; a b) Te 1n H2T€O3 1 m . a ‘ 5 C) I in 1136+ Draw an accurate two—dimensional picture of a slice through a 5px orbital. Your diagram must include a labeled axis system, the correct location and number of radial and angular nodes, and the phases of the wave function. is it, if“ 7} {mike/Q wa逧 zit gzwfiwl 2;, {ex/am (A_/égu $413.43»; r,— ‘3 a r Part B (32 points) COMPETENCY QUESTIONS. Answer TWO of the following three questions in the space provided. SHOW YOUR WORK AND WRITE EXPLANATIONS IN FULL SENTENCES. 5. For each of the molecules below, determine: a) the point group and b) the number of lH—NMR signals you would expect from the protons in the molecule. Briefly explain your choices noting key symmetry elements. (Note: You may assume that all the protons on any one methyl group are equivalent due to free rotation of the methyl group. All other atoms of each of these molecules are assumed to be fixed in space.) ("’W/W/l/W t {1’ a) point group W: g V b) # NMR signals ______Za»__ a) point group __£_§'__ b) # NMR signals ____é_ /, it \0—0 W \‘ \ _ o W a? , 31W . rt a) point group W“ W2” {WW}; 1' as“? i’ b) # NMR signals __§§______ WW 5.. W j Slater’s rules provide a useful framework for discussing effective nuclear charge, but the rules rely on simplifications easily seen to be incorrect. To demonstrate this, complete the following questions regarding an atom of bromine (Br). a) Sketch radial probability functions of a 45 orbital and a 4p orbital for an atom of Br. (Note: Both functions should be plotted on the same set of axes.) / l E g l g i Larrec} fiat!“ {793% ’9’ H i 5; a (' {at w; W W? f \ w; A W” W Z = Z W i m f?!» :93} '5 3.”, “f y , I” _‘ X é ‘ I f 32%: W 33%“ lag} l ‘f‘ 58 :2ng “f” Q) 0”)»: wig V, W 7 % \ sis. {3:32 W, f1; % 5 ti 3-3,, g. 661”” 7. In answering this problem, refer to the character table for the D4,, point group. a) What is the order of the D4}, point group? Explain briefly with a calculation. ,, 4 4 3‘55 5:,33x 33W . 3555: “‘ 55 5.555555 555 5M5» =45 a 5 555555115 5., ”E55 ,3 55> 3: 5 3 ,5 .3 . ”a, 4 “4444““ 41”; $,, 33.5 b) What do the designations g and u mean? Make specific reference to the characters of 5:557? 39055 A 5’35 g and u representations. {vs/3. ., Q44 , wri‘ 3 4.333333, 534(ege5gj52 if”? 5'5 ‘ , e v 5555* 5 5.5335535; / W c) What irreducible representations describe the transformation properties (symmetry) of [<57 5‘ 3,23,, 73‘1”? the px, py and pZ orbitals in the D4}, point group? Explain briefly. j ' i 5 ‘5, g u fa ’ if 5 , 5 M 5 I .-, , 4; «r {4335 2 4’: 5, 3 $,, «@2314, g was! Q... u» «5... £55555 6 a ‘ ‘ . it. 3.4, :35 .3 k 3'; ' ‘ (r: 5. 5 , 55"“ I :55 2 5 4 4 g r i gqgert @513,Q4,Q‘3€W if“: 34, $645K, i, Wag/Pi V§EQ&MC€.&4¢Q( d) Show that the Eg and B2,, irreducible representations are mutually orthogonal. ,, 5’5 3c , r» i 4 H e) Show, using the coordinate system below, that x and y transform together in D4,, fir/symmetry. You will need to make a judicious choice of symmetry operation in 4,5” answering this question. 3" 5 55. MW (5,35 v a}; ,. J ’ Lg *‘ér‘eifiv /» ffimfiflgvmm Part C (2gpoints) MASTERY QUESTIONS. Answer ONE of the following two questions in ‘ the space provided. SHOW ALL YOUR WORK AND WRITE EXPLANATIONS IN (a: 1% Q“ COMPLETE SENTENCES. e t“: . . . . . 3 b 8. XH3 molecules may be either trigonal planar or trigonal pyramidal in shape. The IR fly i and Raman spectra of the molecule SbH3 are identical, with four bands at the same (LEM? \l! frequencies (1894 cm", 1891 cm}, 831 cm], and 782 cm'l). Is this molecule planar or” MN” pyramidal? Answer this question by a) determining the symmetry and number of Ev iii“ 1’s if vibrational modes for each shape and b) determining whether these modes are IR or ”‘7 l i' e g Raman active. 3; 1i: e e WE’L“ EE- (1:19 ...
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