20085ee2_1_problemset1_2008_solution

20085ee2_1_problemset1_2008_solution - ions such as NaCl...

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EE2 Physics for Electrical Engineers Homework #1 Solutions Due Date: October 7 th , 2008 I. Matter-wave duality principle. Electron can behave both as a particle and a wave: thus relationship between momentum/energy and wave-length (De Broglie wave-length). The limit to the large-scale is similar as classical Newtonian physics. ݌ൌ II . Four quantum numbers: n, l, m l , and spin. There are (2l+1) possible m l values for a given l value, with two spin numbers, thus 2(2l+1) quantum states in a given sub-shell. Same n: same shell, same n and l: same sub-shell. States in sub-shell l=0 are called S(2), those in l=1 are called P(6), those in l=2 D(10), and those in l=3 F(14) ൌ2ൈሺ2ൈ3൅1ሻ . III. Corresponding to the 8 possible states (s+p) electrons could take in the valence. IV. Alkali metals: 1 electron in valence (e.g. Li). Halogens: full valence. V. Ionic bonding: electrostatic bonding from the attraction between positive and negative
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Unformatted text preview: ions such as NaCl where the Na loses electron to become positive ion and Cl takes the electron to become negative ion. Covalent bonding: Sharing of electron to reach full valence. Two nuclei are in stable equilibrium at a separation where the attractive force is exactly balanced by the repulsive force. (e.g. Carbon) VI. (111) and (002), Z axis is vertical. VII. k ୷ ൌ ଶ஠ L ౯ · n ୷ ൌ 6.28 ൈ 10 ଽ m ିଵ ݌ ௬ ൌ ௛·௞ ೤ ଶగ ൌ 6.63 ൈ 10 ିଶହ ݇ െ ݉ ݏ ⁄ ܧ ଶ ൌ ௣ ೤ మ ଶ௠ ൌ 2.41 ൈ 10 ିଵଽ ܬ݋ݑ݈݁ݏ ൌ 1.50 ܸ݁ VIII. From Euler: ݁ ௜ఏ ൌ cosሺߠሻ ൅ ݅ · sin ሺߠሻ . Then ߰ ௬ ሺݕሻ ൌ ܣ ௬ · ݁ ௜ ଶగ௡ ೤ ௅ ೤ ௬ ൌ cosሺ6.28 ൈ 10 ଽ ݕሻ ൅ ݅ · sin ሺ6.28 ൈ 10 ଽ ݕሻ Imaginary part: Real part: ‐ 1.5 ‐ 1 ‐ 0.5 0.5 1 1.5 ‐ 1.5 ‐ 1 ‐ 0.5 0.5 1 1.5...
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This note was uploaded on 02/09/2011 for the course EE 2 taught by Professor Vis during the Spring '07 term at UCLA.

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20085ee2_1_problemset1_2008_solution - ions such as NaCl...

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