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Answers to PS #1 - Classes at U. of L.

Answers to PS #1 - Classes at U. of L.

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14. Using the d<strong>at</strong>a in Table 1.2 in Smart and Moore and the formulae in the Introduction <strong>to</strong> the Lecture Notes, calcul<strong>at</strong>e the<br />

volumes <strong>of</strong> the following (primitive) unit cells in the seven crystal systems:<br />

a) Cubic, a = 3.4Å b) Tetragonal, a = 4.0 Å, c = 2.5 Å<br />

c) Orthorhombic, a = 2.3, b = 2.7, c = 1.9 Å d) Hexagonal, a = 3.4, c = 1.8 Å<br />

e) Trigonal-b a = 2.1 Å, a = 87 f) Monoclinic, a = 1.7, b = 2.2, c = 5.3 Å; β = 109°<br />

g) Triclinic, a = 2.4, b = 2.6, c = 4.1 Å; a = 92, β = 98, γ = 103°<br />

15. Express the loc<strong>at</strong>ion <strong>of</strong> the ligands L <strong>of</strong> the following ELn molecules as x,y,z coordin<strong>at</strong>es, with E <strong>at</strong> 0,0,0. Use<br />

symmetry opera<strong>to</strong>rs <strong>to</strong> simplify your work, and st<strong>at</strong>e explicitly how you have used symmetry.<br />

a) CH4, d(C-H) = 1.10 Å tetrahedral b) PtCl4 2- , d(Pt-Cl) = 2.30 Å sq. planar<br />

c) NH3, d(N-H) = 1.08 Å, ∠(H-N-H) = 106° pyramidal d) H2O, d(O-H) = 1.06 Å, ∠(H-O-H) = 104° bent<br />

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