1215_Physics ProblemsTechnical Physics

1215_Physics ProblemsTechnical Physics - 556 P43.25...

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556 Molecules and Solids P43.25 U ke r r r r r r r r r eeeeeeee e = −−++−−++− = −+−+ F H G I K J 22222222 2 223344 2 1 1 2 1 3 1 4 But, ln 1 1 234 +=− + − + x xxx af so, U r e =− 2 2 2 ln , or Uk e r e = αα 2 22 where ln . + + + 3 r 2 r r –e –e –e eee FIG. P43.25 Section 43.4 Free-Electron Theory of Metals Section 43.5 Band Theory of Solids P43.26 E h m n n e e F Js kg J eV = F H G I K J = ×⋅ ×× L N M M M O Q P P P F H G I K J −− 2 23 34 2 31 19 2 3 8 6626 10 2 9 11 10 1 60 10 3 8 ππ . .. ej e j En e F eV 365 10 19 2 3 . with n measured in electrons m 3 . P43.27 The density of conduction electrons n is given by E h m n e F = F H G I K J 2 2 3 8 π or n mE h e = F H G I K J = 8 3 2 8 3 2 9 11 10 5 48 1 60 10 580 10 2 32 31 19 34 3 28 3 F kg J m . . . a f . The number-density of silver atoms is n Ag 3 kg m atom 108 u u 1.66 10 kg m F H G I K J × F H G I K J 10 6 10 11
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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