It has to be shown that the given orbitals are orthogonal to each other. Concept Introduction: Two functions are said to be orthogonal if the integral of their product is zero. Consider two functions X and Y. If these functions are orthogonal then ∫ X . Y d z = 0 . A function is said to be normalized if the integral of its product to itself is 1. Consider a function X, if this function is normalized then ∫ X . X d z = 1 .

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Answer 1

Question

Chapter 9, Problem 9.1PR

(a)

Interpretation Introduction

Interpretation:

It has to be shown that the given orbitals are orthogonal to each other.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

(b)

Interpretation Introduction

Interpretation:

given $sp2$ hybrid orbital is normalized has to be shown.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

(c)

Interpretation Introduction

Interpretation:

Another sp2 hybrid orbital which is orthogonal to the given hybrid orbital has to be found.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

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Answer 2

Question

Chapter 9, Problem 9.1PR

(a)

Interpretation Introduction

Interpretation:

It has to be shown that the given orbitals are orthogonal to each other.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

(b)

Interpretation Introduction

Interpretation:

given $sp2$ hybrid orbital is normalized has to be shown.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

(c)

Interpretation Introduction

Interpretation:

Another sp2 hybrid orbital which is orthogonal to the given hybrid orbital has to be found.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

Expert Solution & Answer

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See solution

Answer 3

Question

Chapter 9, Problem 9.1PR

(a)

Interpretation Introduction

Interpretation:

It has to be shown that the given orbitals are orthogonal to each other.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

(b)

Interpretation Introduction

Interpretation:

given $sp2$ hybrid orbital is normalized has to be shown.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

(c)

Interpretation Introduction

Interpretation:

Another sp2 hybrid orbital which is orthogonal to the given hybrid orbital has to be found.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 9, Problem 9.1PR

(a)

Interpretation Introduction

Interpretation:

It has to be shown that the given orbitals are orthogonal to each other.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

(b)

Interpretation Introduction

Interpretation:

given $sp2$ hybrid orbital is normalized has to be shown.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

(c)

Interpretation Introduction

Interpretation:

Another sp2 hybrid orbital which is orthogonal to the given hybrid orbital has to be found.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 9, Problem 9.1PR

(a)

Interpretation Introduction

Interpretation:

It has to be shown that the given orbitals are orthogonal to each other.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

(b)

Interpretation Introduction

Interpretation:

given $sp2$ hybrid orbital is normalized has to be shown.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

(c)

Interpretation Introduction

Interpretation:

Another sp2 hybrid orbital which is orthogonal to the given hybrid orbital has to be found.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

Answer 6

Chapter 9, Problem 9.1PR

(a)

Interpretation Introduction

Interpretation:

It has to be shown that the given orbitals are orthogonal to each other.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

Answer 7

Chapter 9, Problem 9.1PR

(a)

Interpretation Introduction

Interpretation:

It has to be shown that the given orbitals are orthogonal to each other.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

Answer 8

(b)

Interpretation Introduction

Interpretation:

given $sp2$ hybrid orbital is normalized has to be shown.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

Answer 9

(b)

Interpretation Introduction

Interpretation:

given $sp2$ hybrid orbital is normalized has to be shown.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

Answer 10

(c)

Interpretation Introduction

Interpretation:

Another sp2 hybrid orbital which is orthogonal to the given hybrid orbital has to be found.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

Answer 11

(c)

Interpretation Introduction

Interpretation:

Another sp2 hybrid orbital which is orthogonal to the given hybrid orbital has to be found.

Concept Introduction:

Two functions are said to be orthogonal if the integral of their product is zero.

Consider two functions X and Y. If these functions are orthogonal then $∫X .Y dz=0.$

A function is said to be normalized if the integral of its product to itself is 1.

Consider a function X, if this function is normalized then $∫X.X dz=1.$

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 9 - Prob. 9A.1ST Ch. 9 - Prob. 9A.2ST Ch. 9 - Prob. 9A.3ST Ch. 9 - Prob. 9A.5ST Ch. 9 - Prob. 9B.2ST Ch. 9 - Prob. 9B.3ST Ch. 9 - Prob. 9B.4ST Ch. 9 - Prob. 9C.1ST Ch. 9 - Prob. 9C.3ST Ch. 9 - Prob. 9D.1ST

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