ENEE 313, Spr. ’09 Quiz III - Feb 23, 2009Name:1. How many valence shell electrons do the following atoms have?(a) (2 pts.) Phosphorus, P: 1s22s22p63s23p3.(b) (2 pts.) Calcium, Ca: 1s22s22p63s23p64s2(c) (3 pts.) Fluorine, F: Atomic number 9 (write the electronic configuration first.)(d) (3 pts.) Boron, B: Atomic number 5 (write the electronic configuration first.)2. (6 pts.) Consider three fictional materials, A, B and C. At T=0 K,• The valence band of material A is full. The minimum of the valence band is at 1 eV, and themaximum is at 3 e V. The next band of A is empty. The minimum of this band is at 9 eV, themaximum at 14 eV.• The valence band of material B is full. The minimum of the valence band is at 1 eV, themaximum is at 3 eV. The next band of B is empty. The minimum of this band is at 4 eV, themaximum at 6 eV.• The valence band of material C is full. The minimum of the valence band is at 2 eV, and themaximum is at 4 eV. The next band of C is empty. The minimum of this band is at 3 eV, themaximum at 5 eV.If all three materials are examined at the same new temperature T>0 K, which of these materials isthe best conductor? Which is the worst? Briefly explain your answer.Turn over for the last question.13. Remembe r that the quantum numbers n, m and l are the separation constants in the solution ofthe time-independent Schr¨odinger Wave Equation. Each separation constant comes up during thesolution of the equation for one of the three coordinate dependencies. m is related to the quantizationof the z-component of the angular momentum; l to that of the total angular momentum, and n tothat of the energy.(a) (2 pt.) Match each quantum number to the relevant coordinate.The magnetic quantum number, m rThe orbital quantum number, l φThe principal quantum number, n θ(b) (2 pt.) The orbital quantum number l values 0, 1 and 2 correspond to the s, p and d orbitalsrespectively. Sketch the general shape for the s and p
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