Intro Inorganic Chem
Intro Inorganic Chem CHM 218
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This 0 page Class Notes was uploaded by Ms. Jayde Murray on Sunday November 1, 2015. The Class Notes belongs to CHM 218 at Indiana University Purdue University - Fort Wayne taught by R. Berger in Fall. Since its upload, it has received 25 views. For similar materials see /class/233559/chm-218-indiana-university-purdue-university-fort-wayne in Chemistry at Indiana University Purdue University - Fort Wayne.
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Date Created: 11/01/15
CHM 218 Recl to Chapmr 4 Dfpusi veiuns at the lattice paints within a tleluealizetl sea ufvalenoe eleetmns cmbe neatetl by ttanslating in thtee dimensiuns e An allay is a eumbinatian lme u mare metals in the sulid state sulirl b a An amalgam is ahamageneaus mixture Dfmercurywith same umber metal 3 Amung the ehatannisties ufmeuls are High thee dimensiunzl cmduc vity at SAT 11 ee sing mmhmr ivitywith Increasing tempetatute 3p iii Highthetmale morika iv Hightetlenivity v Highbu ingpuim 35 4 Iran aluminum supper antl zine ate the mast witlely usetl metals M 1 c stal of M 5 The Werlzp in energy u he 3p ant13s a 9 3 cm y g be an means that each nfthese will partially lled and will therefme alluw fur euntluetiun 6 Depmding an the degreem whiuh the 3s antl 3p bantls DIVE ap the 3 band diagram will lack sumething p 1 like ane AI atum crystal of AI In the SC unit cell there is one atom at each corner Since each comer is In the BCC unit cell there is one atom at each corner as well as one atom The atoms must be similar in size and in chemical properties and they Potassium is significantly larger than zinc radius Metallic behavior depends on the interaction of a large number of atoms giving rise to bands of crystal orbitals In the gas phase the metal exists as isolated atoms or discrete clusters of at most a few atoms so these typical band structure of a metal cannot be obtained Like hydrogen three periods above it K is likely to form a diatomic molecule K2 in the gas phase The MO diagram 43 is shown to the right T at T 43 H 1gt 45 Cubic and hexagonal are the two types of layer H F arrangements in metals and hexagonal is the more efficient H I quot of the two quot CF45 In the hcp arrangement every other layer repeats in an ABABAB arrangement In the ccp arrangement every third layer repeats in an ABCABC arrangement shared by eight unit cells only 18 of each atom belongs to one of the unit cells 8 x 18 1 atom per unit cell in the center of the unit cell The comer atoms are counted as above and the atom in the center of the unit cell belongs exclusively to that unit cell for a total of 2 atoms per unit cell must adopt the same type of crystal structure 227 pm as opposed to 133 pm for zinc The metals adopt different crystal structures K is BCC while Zn is hcp K is significantly more reactive than Zn Body centered cubic In a simple cubic unit cell the atoms touch along an edge as shown above The length of the unit cell edge e is equal to 2 times the radius of the atom and since the volume of the unit cell is e3 the volume of the unit cell is 813 The volume of the atom is 43 1113 and since there is only one atom per unit cell the fraction of the unit cell which is occupied is 052 E 6 The fraction of empty space is l 7052 048 or 48 16 Body Centered Cubic atoms touch along the cube diagonals b cube diagonal 4r Body cenlgred cubic b e 4r e 4 e r 3 Volume of unit cell c3 64 r3 There are two atoms per unit cell so the 3 5 fraction of the unit cell Which is occupied is 58 068 The fraction of empty space is l 7068 032 or 32 17 Face Centered Cubic atoms touch along a face diagonal f face diagonal 4r 62 62 2 f2 f2 262 e e f 41 Facecentered Cubic 18 Body Centered Cubicatoms touch along the cube diagonals b cube diagonal 4r f2e2ez2e2 ek b262f2362 f e e b e 4r e 4 e r J 19 From the previous problem 139 W 125 pm 288 pm x 1mm 288 x 10X cm 10 pm V 3 288 X 10398 em3 239 X 103923 cm3 519961 amu x 1 g 2 1727 x 1022 g m 2 atoms X 1 atom 6022 X 1023 amu 22 1727 X 10 g 723 g 239 X 1023 cm3 cm3 density 1373933 am x 1 g 4561 x 1022 g 20 mass of unit cell 2 atoms X 1 atom 6022 X 1023 amu 22 mass X g x 1022 cm3 density 3 50 g cm3 volume of unit cell 3 edge length of unit cell 1393 X 103922 cm3 507 X 10398 cm 10 507 x 10398 cm x lo pm 507 x 102 pm 139 X507Pm 220pm 4 21 mass of unit cell 4 atoms X x L 71651 X 103922 g 1 atom 6022 x 1023 amu 722 volume of unit cell L m 6824 x 103923 cm3 dens 1050 i cm3 3 edge length of unit cell l6824 x 10 23 em3 4086 x 10 8 cm 10 4086 x 10398 cm x lo Pm 4086 x 102 pm 1 cm 22 If the surfaces were smooth and clean at the molecular level they would lse together in the vacuum of outer space