6. Carbonyl chloride fluoride (COFCI) belongs to the Cs point group, which has the relatively simple character table shown below. Cs EOh A' 1 1 x, y, R₂ A" 1 -1 Z, Rx, Ry 6.1 How many translational degrees of freedom does COFCI have? x², y², z², xy yz, zx 6.2 How many rotational degrees of freedom does COFCI have? 63 How many vibrational degrees of freedom does COFCI have? 6.4 The displacement vectors for the atoms of COFCI span 8 A' + 4 A". What are the symmetry species of the normal modes of vibration? 6.5 How many of the vibrational modes of COFCI are IR active? J 6.6 How many of the vibrational modes of COFCI are Raman active?
6. Carbonyl chloride fluoride (COFCI) belongs to the Cs point group, which has the relatively simple character table shown below. Cs EOh A' 1 1 x, y, R₂ A" 1 -1 Z, Rx, Ry 6.1 How many translational degrees of freedom does COFCI have? x², y², z², xy yz, zx 6.2 How many rotational degrees of freedom does COFCI have? 63 How many vibrational degrees of freedom does COFCI have? 6.4 The displacement vectors for the atoms of COFCI span 8 A' + 4 A". What are the symmetry species of the normal modes of vibration? 6.5 How many of the vibrational modes of COFCI are IR active? J 6.6 How many of the vibrational modes of COFCI are Raman active?
Chemistry
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Carbonyl chloride fluoride (COFCl)**
Carbonyl chloride fluoride (COFCl) belongs to the \(C_s\) point group, which has the relatively simple character table shown below.
\[
\begin{array}{c|c|c|c}
C_s & E & \sigma_h \\
\hline
A' & 1 & 1 & x, y, R_z & x^2, y^2, z^2, xy \\
A'' & 1 & -1 & z, R_x, R_y & yz, zx \\
\end{array}
\]
**Molecule Structure:**
The structure of the molecule is represented with a diagram showing a central carbon atom double-bonded to an oxygen atom and single-bonded to both a chlorine and a fluorine atom.
### Questions:
6.1 How many translational degrees of freedom does COFCl have?
6.2 How many rotational degrees of freedom does COFCl have?
6.3 How many vibrational degrees of freedom does COFCl have?
6.4 The displacement vectors for the atoms of COFCl span 8 A' + 4 A''. What are the symmetry species of the normal modes of vibration?
6.5 How many of the vibrational modes of COFCl are IR active?
6.6 How many of the vibrational modes of COFCl are Raman active?
(Note: The structure diagram of COFCl aids in understanding the molecular geometry and is essential for solving the questions related to vibrational modes.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce17c6ae-9240-4648-8795-951aa382f408%2F47b9f2b4-df2b-4f7d-8380-ae6ef02d75de%2Fn838wad_processed.png&w=3840&q=75)
Transcribed Image Text:**Carbonyl chloride fluoride (COFCl)**
Carbonyl chloride fluoride (COFCl) belongs to the \(C_s\) point group, which has the relatively simple character table shown below.
\[
\begin{array}{c|c|c|c}
C_s & E & \sigma_h \\
\hline
A' & 1 & 1 & x, y, R_z & x^2, y^2, z^2, xy \\
A'' & 1 & -1 & z, R_x, R_y & yz, zx \\
\end{array}
\]
**Molecule Structure:**
The structure of the molecule is represented with a diagram showing a central carbon atom double-bonded to an oxygen atom and single-bonded to both a chlorine and a fluorine atom.
### Questions:
6.1 How many translational degrees of freedom does COFCl have?
6.2 How many rotational degrees of freedom does COFCl have?
6.3 How many vibrational degrees of freedom does COFCl have?
6.4 The displacement vectors for the atoms of COFCl span 8 A' + 4 A''. What are the symmetry species of the normal modes of vibration?
6.5 How many of the vibrational modes of COFCl are IR active?
6.6 How many of the vibrational modes of COFCl are Raman active?
(Note: The structure diagram of COFCl aids in understanding the molecular geometry and is essential for solving the questions related to vibrational modes.)
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