CHEM 315 ASSIGNMENT 6

CHEM 315 ASSIGNMENT - CHE M 3 1 5 Ass ig nm ent 6 Hom ewo rk 6 due Nov 2 3 2 0 10 in class Yo u m u st sh o w yo u r calcu lat io n step s in o rd

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Homework #6, due Nov. 23, 2010 in class = ψ + - = You must show your calculation steps in order to earn the full credit. In your answer sheet, print your name. 1. For one-dimensional particle-in-a box (with a length of L), the wavefunction is sin ) ( . Derive B by the normalization of ) x ( . You will need the integral table: C a 4 ax 2 sin 2 x dx ax sin 2 . Given the above, we can integrate: Substituting and 0 for = Given that the sine of any even integer 2 multiplied by p is zero, we can say 2. Consider a particle in a one-dimensional box, the longest transition wavelength for the particle is 200 nm. (1) What is the transition wavelength if the mass of the particle is doubled? (2) What is the transition wavelength if the charge of the particle is doubled? (3) What is the transition wavelength if the length of the box is doubled? L x n B x L x n If m is doubled and then the new which changes to , effectively doubling ? for a result of
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This note was uploaded on 02/02/2011 for the course CHEM 315 taught by Professor Evans during the Fall '08 term at New Mexico.

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CHEM 315 ASSIGNMENT - CHE M 3 1 5 Ass ig nm ent 6 Hom ewo rk 6 due Nov 2 3 2 0 10 in class Yo u m u st sh o w yo u r calcu lat io n step s in o rd

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