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Please answer number 8

l Verizon LTE 9:53 PM 100%,--+ Close Physical Chemistry ll Spring...1 DOCX-149 KB (e) none of the above 7. A free particle is inside a one dimentional box from 0 to a/2, (a is a constant). If the particle is in the first excited states with eigenfunction, y Nsin (4px/a) (a) Determine the normalization constant. (b) Calculate the probability in between a/4 and a/2 8. What is the degree of the degeneracy if the three quantum numbers, n,n,, and n, can have the values 1, 2, and 3 for the particle in a 3-dimetional cubies. 9. Calculate the numberical value of a, the Rydberg constant for Hydrogen and the ionization potential for the hydrogen atom. (e,-8.854 x 101 CN'm2) 10. Explain blackbody radiation and what is the impact for Modern Quantum Chemistry. (graph the relationship between Wavelength and Monochromatic Radiant exitance). Note: do not copy and paste from internet or website. Use your own word and own logic to explain it. 11. What is the eigenvalue of a Hamiltonian operator, H d'dx2+x2, operates on the eigenfunction xxexp(-x/2)? 12. You will need to remember the definition of the eigenfunction and eigenvalues. (a) Find the eigenfunctions and eigenvalues of the operator d/dx. (b) If we impose the boundary condition that the eigenfunction remain finite as x®ое, find the eigenvalue. 13. The formula for the 1-D particle in a box makes good approximate for the energies of the electrons in linear conjugated molecules, the butadiene (CH CH-CH CH is approximated as a linear box with a length equal to 4.24 A. (a) Solve the 1-D particle in a box problem to obtain the eigenfunctions and eigenvalues. (b) What is the p electron configurations of butadiene? (c) What is the absorption frequency of butadiene? Email Word Save

Answer 1

Answer)

? mul 1 2,3 tot have ) 132 E2(243742

hez 2, h321 に F1me chiw l evel 一 | 1,23 1,5,2 2,1,3 2, 3,1 3,1,23,3-
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