Chapter 14, Problem 14.13E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule dimethylacetylene, ${\text{CH}}_{\text{3}}-\text{C}\equiv \text{C}-{\text{CH}}_{\text{3}}$ is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule, the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(b)

Interpretation:

Whether the molecule sulfur hexafluoride, ${\text{SF}}_{\text{6}}$ is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(c)

Interpretation:

Whether the molecule phosphate ion, ${\text{PO}}_{\text{4}}{}^{3-}$ is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(d)

Interpretation:

Whether the molecule glycine, $\left({\text{CH}}_{\text{2}}\right)\left({\text{NH}}_{\text{2}}\right)\left(\text{COOH}\right)$ is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(e)

Interpretation:

Whether the molecule cis$-1,2-$ Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(f)

Interpretation:

Whether the molecule trans$-1,2-$ Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.