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Unformatted text preview: Chem 584 Introduction to Materials Chemistry Homework #3 Due at the beginning of lecture, Friday, September 26. (Show work) Callister problems: 5.3, 5.4, 5.12, 5.16, 5.26, 5.27 1) Potassium (K) and beryllium (Be) are metals which exhibit good electrical conductivity. Explain for both elements the reasons for the observed conductivity on the basis of the band structure. 2) In crystals of the salt K 2 Pt(CN) 4 , the anions are arranged into chains as shown below. The platinum(II) centers are d 8 and, neglecting the Pt-Pt interactions, are square planar. The d-orbital splitting diagram for a typical square-planar metal complex is also shown. a) The d z 2 orbitals form a band. Draw a picture of the wavefunction that corresponds to the bottom of the d z 2 band, the wavefunction that corresponds to the top of the band, and a wavefunction for the middle of the band. b) Qualitatively plot how the energy of the band changes with k . c) How many electrons are in the d z 2 orbital for K 2 Pt(CN) 4 ? d) The material can be doped with bromine to give a solid with stoichiometry K 2 Pt(CN) 4 Br , where is about 0.3. How many electrons are in the band now? e) Is the bromine-doped material expected to be an insulator or a metal?...
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This note was uploaded on 12/04/2011 for the course CHEM 584 taught by Professor Suslick,k during the Fall '08 term at University of Illinois, Urbana Champaign.
- Fall '08