(a) Interpretation: Whether the molecule hexamethylbenzene, C 6 ( CH 3 ) 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.

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Answer 1

Question

Chapter 14, Problem 14.14E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule hexamethylbenzene, C6(CH3)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

(b)

Interpretation:

Whether the molecule diacetylene, HC≡C−C≡CH is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 cyanide radical, CN• is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 cyanogen, N≡C−C≡N is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 sulfur tetrafluoride, SF4 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 hydrogen sulphide, H2S is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 dimensions 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.

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Answer 2

Question

Chapter 14, Problem 14.14E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule hexamethylbenzene, C6(CH3)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

(b)

Interpretation:

Whether the molecule diacetylene, HC≡C−C≡CH is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 cyanide radical, CN• is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 cyanogen, N≡C−C≡N is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 sulfur tetrafluoride, SF4 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 hydrogen sulphide, H2S is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 dimensions 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.

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Answer 3

Question

Chapter 14, Problem 14.14E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule hexamethylbenzene, C6(CH3)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

(b)

Interpretation:

Whether the molecule diacetylene, HC≡C−C≡CH is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 cyanide radical, CN• is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 cyanogen, N≡C−C≡N is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 sulfur tetrafluoride, SF4 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 hydrogen sulphide, H2S is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 dimensions 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.

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Answer 4

Question

Chapter 14, Problem 14.14E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule hexamethylbenzene, C6(CH3)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

(b)

Interpretation:

Whether the molecule diacetylene, HC≡C−C≡CH is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 cyanide radical, CN• is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 cyanogen, N≡C−C≡N is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 sulfur tetrafluoride, SF4 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 hydrogen sulphide, H2S is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 dimensions 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.

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Answer 5

Chapter 14, Problem 14.14E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule hexamethylbenzene, C6(CH3)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

(b)

Interpretation:

Whether the molecule diacetylene, HC≡C−C≡CH is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 cyanide radical, CN• is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 cyanogen, N≡C−C≡N is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 sulfur tetrafluoride, SF4 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 hydrogen sulphide, H2S is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 dimensions 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.

Answer 6

Chapter 14, Problem 14.14E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule hexamethylbenzene, C6(CH3)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.

Answer 7

Chapter 14, Problem 14.14E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule hexamethylbenzene, C6(CH3)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.

Answer 8

Interpretation Introduction

(b)

Interpretation:

Whether the molecule diacetylene, HC≡C−C≡CH is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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.

Answer 9

Interpretation Introduction

(b)

Interpretation:

Whether the molecule diacetylene, HC≡C−C≡CH is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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.

Answer 10

Interpretation Introduction

(c)

Interpretation:

Whether the molecule cyanide radical, CN• is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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.

Answer 11

Interpretation Introduction

(c)

Interpretation:

Whether the molecule cyanide radical, CN• is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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.

Answer 12

Interpretation Introduction

(d)

Interpretation:

Whether the molecule cyanogen, N≡C−C≡N is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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.

Answer 13

Interpretation Introduction

(d)

Interpretation:

Whether the molecule cyanogen, N≡C−C≡N is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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.

Answer 14

Interpretation Introduction

(e)

Interpretation:

Whether the molecule sulfur tetrafluoride, SF4 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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.

Answer 15

Interpretation Introduction

(e)

Interpretation:

Whether the molecule sulfur tetrafluoride, SF4 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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.

Answer 16

Interpretation Introduction

(f)

Interpretation:

Whether the molecule hydrogen sulphide, H2S is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 dimensions 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.

Answer 17

Interpretation Introduction

(f)

Interpretation:

Whether the molecule hydrogen sulphide, H2S is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be classified.

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 dimensions 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.

Answer 18

Expert Solution & Answer

Answer 19

Expert Solution & Answer

Answer 20

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Answer 21

Ch. 14 - Prob. 14.1E Ch. 14 - Determine if the following integrals can be...Ch. 14 - What is the frequency of light having the...Ch. 14 - What is the wavelength of light having the given...Ch. 14 - What is the energy of light having each...Ch. 14 - The Cu(H2O)62+ complex has octahedral symmetry. Is...Ch. 14 - What are the wavelength, speed, and energy of a...Ch. 14 - Prob. 14.8E Ch. 14 - Prob. 14.9E Ch. 14 - Prob. 14.10E

Solution Summary: The author explains that hexamethylbenzene is a linear, spherical, or oblate symmetric top molecule.

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