Degeneracy is associated with symmetry. Consider a rectangular area of sides L and 2L. Are there any degenerate states? If there are, identify the two lowest.
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Degeneracy is associated with symmetry. Consider a rectangular area of sides L and 2L. Are there any degenerate states? If there are, identify the two lowest.
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- Assume that x- polarized light can be assigned an E symmetry species in a system that has C4v symmetry. Can a transition from E state to a B2 state occur? Why or why not?Assume that you are evaluating the integral of products of functions having symmetry labels in exercise 13.60, parts a-d. Which integrals, if any, are exactly zero due to symmetry considerations?The mutual exclusion rule states that for certain molecules, vibrations that are IR-active are not Raman-active, and vice versa. Molecules must have a certain symmetry element in order for the mutual exclusion rule to apply. Examine the character tables in Appendix 3 and determine what that symmetry element is.
- Determine if the following integrals can be nonzero if the molecular or atomic system has the given local symmetry. Use the great orthogonality theorem if necessary. a AuOB2uAud in D2h symmetry b A1OA1A2d in C3v symmetry c g+Oggd in Dh symmetry d EOA2T1d in Td symmetryDetermine which single symmetry operation of the following point groups is equivalent to the given combination of multiple symmetry operations. a In C2v, C2v=? b In C2h, iC2=? c In D6h, C6h=? d In D2d, C2C2=? e In Oh, iS4=?The Cu(H2O)62+ complex has octahedral symmetry. Is a transition from a T2g state to an Eg state allowed if the transition moment operator has a T1u symmetry label?
- What is the degeneracy of an h subshell? An n subshell?a In the Td point group, an S41 improper rotation is equivalent to what other improper rotation? b In the D6h point group, the symmetry operation labeled C21 is equivalent to what other symmetry operation?The following are sets of rotational quantum numbers (J,MJ,K). Label each indicated transition as either allowed or forbidden. Hint: Remember the rules for allowed values of the various quatum numbers. a (0,0,0)(1,1,0)b (0,0,0)(1,0,0) c (3,2,1)(3,1,1)d (4,4,1)(2,4,1)
- 2. List all the symmetry operations of the following molecules. Random selection of operations will not receive any points. (a) H₂C=CF, (b) hypothetical molecule MX CI CIConsider the 3?? 2 orbital of the central atom of a molecule with symmetry C2v. To which symmetry representation does 3?? 2 belong to? Justify graphically your answer. This is the diagram answer but can you please explain the answer with the very basics thank youConsider the 3?? 2 orbital of the central atom of a molecule with symmetry C2v. To which symmetry representation does 3?? 2 belong to? Justify graphically your answer. the answer is attched but can you please give the reasonings because im not understanding it
