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09-10 - E45 Lecture Conduction in metals Metallic Bonding...

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E45 Lecture 10/28/09
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Conduction in metals
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Li: 1s 2 2s 1 2s 1s Nucleus, charge of +3e E=0 2s 1s Metallic Bonding
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Li 2 Former 2s electrons of two Li atoms Energy Atomic orbitals Atomic orbitals Molecular orbital of Li 2 E = 0 The two electrons that formerly occupied 2s 1 atomic orbitals now spend a considerable amount of time in the space between the two nuclei. The two electrons ow occupy a molecular orbital. The two electrons in the molecular bond are shared by the two nuclei. Each e added to a solid adds an energy level and each electron occupies the lowest available energy level Metallic Bonding
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1s 2 Location of three electrons in molecular bond of Li 3 Li 3 Metallic Bonding
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E=0 MO* 2s of Li atom MO Molecular orbital of Li 2 1s 2 Li 2 Li 3 Li 4 Li N Figures 7-10. Energy levels of Li 2 , Li 3 , Li 4, and Li N , where N is a very large number. There is a maximum of 2 electrons in each level. The energy values between Mo and MO* form the energy band of the crystal of Li. Electrons in the crystal of Li may possess any energy value between MO and MO*. At equilibrium, the electrons will possess the lowest possible value of energy.
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