(Kertas soalan ini mengandungi 5 soalan dalam 8 halaman yang bercetak) (This question paper consists of 5 questions on 8 printed pages)

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1 UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2016/2017 ACADEMIC SESSION 2016/2017 : SEMESTER I : SEMESTER I SCES3332 : SPEKTROSKOPI MOLEKUL LANJUTAN ADVANCED MOLECULAR SPECTROSCOPY Dis 2016/Jan 2017 Dec 2016/Jan 2017 Masa: 2 jam Time: 2 hours ARAHAN KEPADA CALON: INSTRUCTIONS TO CANDIDATES: Kertas soalan ini mengandungi Bahagian A dan B. This paper consists of Section A and B. Jawab soalan mengikut arahan yang diberikan di dalam setiap bahagian. Question should be answered according to the instructions given in each section. (Kertas soalan ini mengandungi 5 soalan dalam 8 halaman yang bercetak) (This question paper consists of 5 questions on 8 printed pages)

2 BAHAGIAN A (70 MARKAH) SECTION A (70 MARKS) Jawab semua soalan. Answer all questions. 1. (a) Jelaskan setiap simbol yang digunakan di dalam persamaan 1 di bawah. Describe each symbol used in equation 1 below. (1) (6 markah/marks) (b) Apakah keadaan yang memberikan nilai maksimum bagi c m (t)? What is the condition that will make c m (t) maximum? (2 markah/marks) (c) d x merupakan operator momen dwipolar bagi radiasi yang terpolarisasi pada arah x. Berikan sebutan untuk kamilan momen dwipolar peralihan bagi radiasi isotropik dalam sebutan d x, d y dan d z. d x is the dipole moment operator for radiation which is plane-polarized in the x direction. State the transition dipole moment integral for an isotropic radiation in terms of d x, d y and d z. (3 markah/marks) (d) Berdasarkan kamilan momen dwipolar peralihan yang diperoleh untuk soalan 1(c), terbitkan hukum pilihan bagi spektroskopi putaran, getaran dan elektronik bagi suatu molekul. Based on the transition dipole moment integral obtained in question 1(c), derive the selection rule for rotational, vibrational and electronic spectroscopy. (10 markah/marks) 2/8

3 (e) Diberi di dalam kertas soalan ini jadual karakter dan persifiran bagi molekul D 4h (seperti XeF 4 ). Given in this question paper are the character and multiplication tables for a D 4h molecule (such as XeF 4 ). (i) Berapakah bilangan mod normal yang ada pada molekul XeF 4? How many normal modes does XeF 4 have? (2 markah/marks) (ii) Diberi bahawa representasi tak terkurangkan bagi simetri getaran normal XeF 4 adalah a 1g + b 1g + b 2g + a 2u + b 2u + 2e u. Dengan menggunakan pendaraban terus bagi representasi tak terkurangkan untuk molekul XeF 4, tentukan getaran mana satukah yang aktif IR dan/atau aktif Raman. Tunjukkan cara kerja anda. Given the irreducible representation for XeF 4 normal mode symmetries are a 1g + b 1g + b 2g + a 2u + b 2u + 2e u. Using the direct product of irreducible representation for XeF 4 molecule, determine which of these vibrations are IR and/or Raman active. Show your workings. (12 markah/marks) 2. (a) Huraikan mengenai asas Spektroskopi Raman dan aspek instrumentasinya. Write a description of the basis of Raman Spectroscopy and its instrumentation aspect. (20 markah/marks) (b) Jelaskan apa yang anda faham mengenai prinsip Franck Condon. Gunakan gambarajah yang sesuai dalam penjelasan anda. Explain what you understand on the Franck Condon principle. Use appropriate illustrations in your explanation. (15 markah/marks) 3/8

4 4/8

5 BAHAGIAN B (30 MARKAH) SECTION B (30 MARKS) Jawab SEMUA soalan. Answer ALL questions. Nota/Note: h = Js μ B = J T 1 for I = 1 2 for I = 1 3. Tunjukkan saling tindak hiperhalus untuk suatu radikal dengan tiga proton yang setara dengan melakarkan paras tenaganya dan spektra Resonan Spin Elektron (RSE) yang berkenaan. Label gambarajah anda dengan sewajarnya. Show the hyperfine interaction of a radical with three equivalent protons by sketching the energy level diagrams, and its corresponding Electron Spin Resonance (ESR) spectrum. Label your diagrams accordingly. (10 markah/marks) 4. (a) Pertengahan spektra RSE untuk satu hidrogen atom terletak pada mt pada spektrometer yang beroperasi pada GHz. Apakah nilai-g untuk atom tersebut? The center of the ESR spectrum of an atomic hydrogen occurs at mt in a spectrometer operating at GHz. What is the g-value of the atom? (3 markah/marks) 5/8

6 (b) Spektra RSE untuk radikal yang mempunyai nukleus magnetik tunggal telah terbelah kepada empat garisan. Apakah spin untuk nukleus tersebut? The ESR spectrum of a radical with a single magnetic nucleus is split into four lines. What is the spin of the nucleus? (3 markah/marks) (c) Lakarkan struktur hiperhalus untuk suatu radikal yang mempunyai satu nukleus dengan I = 1 dan nilai pemalar hiperhalus 1.83 mt, dan dua nukleus setara dengan I = 1 dan pemalar hiperhalus 0.41 mt. 2 Sketch the hyperfine structure of a radical containing one nucleus with I = 1 and a hyperfine constant of 1.83 mt, and two equivalent nuclei with I = 1 and a 2 hyperfine constant of 0.41 mt. (4 markah/marks) 5. Untuk spektrum RSE yang berikut, nyatakan spin nuklear dan bilangan nukleus yang berinteraksi dengan radikal. For the following ESR spectra, state the nuclear spin and the number of interacting nuclei with a radical: (a) 6/8

7 (b) (c) 7/8

8 (d) (10 markah/marks) TAMAT END 8/8

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