物理化学AI2003期末考卷A.doc

Final Exam of Physical Chemistry June, 2003 (120 minutes) department： register number： name： score： No. 1 2 3 4 5 6 7 8 score No. 9 10 11 12 13 14 15 16 score This is a closed book exam. Use of a calculator and an English dictionary is permitted. Show all of your work and check your units carefully. Don’t give help to, or get help from, others. Some useful constants and results are: (atomic unit) Relative atomic mass: Fe-56 C-12 Na-23 Cl-35.5 Please draw the following molecular orbitals, (4 points) 1) 2) 3) 4) X-ray diffraction analysis of crystalline C60 (buckminsterfullerene or buckyball) shows that the crystal structure at 300K is face-centered cubic (fcc) with one C60 molecule located at each lattice point and the unit cell edge length . Calculate the density of the solid. (3 points) If the solid is formed by cubic closed-packing (ccp) of “spherical” C60 molecules, calculate the “spherical” radius of C60. (3 points) If solid C60 is doped with K (potassium) atoms, a new solid is obtained, which has a superconducting transition temperature of 19.3K. The potassium atoms in the new solid occupy all of the octahedral and tetrahedral holes in the unit cell. What is the empirical formula of the new solid?(2 points) The Balmer series for H atom transitions is given by: What is the longest wavelength transition in nm? (3 points) What is the period of the (minimum energy) ionizing radiation in units of fs (1fs=10-15s)? (4 points) What is the speed of an ejected electron following absorption of a 351nm photon? ( 3 points) What is the de Brogile wavelength of the ejected electron in nm (nanometer) units? (2 points) Please discuss the interpretation of and with brief explanations.(4 points) A conjugated molecule containing 18 electrons has an effective delocalization length of 2000pm (1pm=10-12m). What is the wavelength (in nm) corresponding to