Interpretation:
The cubane,
Concept introduction:
The complex vibrations exhibit by the polyatomic molecule is known as normal modes of vibrations. The vibrational modes of a molecule are IR or Raman active. If a molecule has centre of symmetry, then the modes which are IR-active will be Raman inactive and the modes that are IR-inactive will be Raman active. The total number of vibrational degrees of freedom for nonlinear molecule is represented by

Answer to Problem 14.82E
The cubane,
Explanation of Solution
The structure of cubane is shown below.
Figure 1
The point group of cubane is
The character table for point group
The expression
Similarly, the value of
The expression
The positive sign is taken for the proper rotation and negative sign is taken for improper axis.
Substitute the value of
Similarly, the value of
The expression
Substitute the value of
Similarly, the value of
The expression
The positive sign is taken for the proper rotation and negative sign is taken for improper axis.
Substitute the value of
Similarly, the value of
The expression
The positive sign is taken for the proper rotation and negative sign is taken for improper axis.
Substitute the value of
Similarly, the value of
The great orthogonality theorem for the reducible representation can be represented as,
Where,
•
•
•
•
•
The term
The irreducible representation for point group
Substitute the
Therefore, the cubane,
The cubane,
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Chapter 14 Solutions
Student Solutions Manual for Ball's Physical Chemistry, 2nd
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- Find chemical structures based on the below information. a) Chemical formula C6H8O Compound is aromatic plus has two 1H NMR peaks that integrated for 3 each that are singlets (it could have more peaks in the 1H NMR b) Chemical Formula: C6H100 Compounds is conjugated 'H NMR has a signal that integrates for 6 and is a doublet IR spectra has a signal at 1730 cm-1arrow_forwardJaslev Propose a synthesis of the following starting from benzene and any other reagents and chemicals. No mechanisms are required. Indicate the condition for each step plus the major product for each step. More than two steps are required. Step 1 Step 2 مہد Brarrow_forwardPart C: The line formula for another branched alkane is shown below. i. In the IUPAC system what is the root or base name of this compound? ii. How many alkyl substituents are attached to the longest chain? iii. Give the IUPAC name for this compound.arrow_forward
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