The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell and the value of x if an average of one octahedral hole is occupied per unit cell is to be calculated. Concept introduction: The atomic radius ratio range for octahedral holes is 0.41 − 0.73 . Metal borides ( MB x ) exists for many transition metals . To determine: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell.

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Answer 1

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Chapter 12, Problem 12.42QP

(a)

Interpretation Introduction

Interpretation: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell and the value of x if an average of one octahedral hole is occupied per unit cell is to be calculated.

Concept introduction: The atomic radius ratio range for octahedral holes is 0.41−0.73 . Metal borides ( MBx ) exists for many transition metals.

To determine: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell.

(b)

Interpretation Introduction

To determine: The value of x if an average of one octahedral hole is occupied per unit cell.

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Using a cell of known pathlength b = 1.25115 x 10-3 cm, a water absorption spectrum was measured. The band at 1645 cm-1, assigned to the O-H bending, showed an absorbance, A, of 1.40. a) Assuming that water density is 1.00 g/mL, calculate the water molar concentration c (hint: M= mole/L) b) Calculate the molar absorptivity, a, of the 1645 cm-1 band c) The transmitted light, I, can be written as I= Ioexp(-xb), where x is the absorption coefficient (sometimes designated as alpha), Io is the input light, and b is the cell pathlength. Prove that x= (ln10)*x*c. (Please provide a full derivation of the equation for x from the equation for I). d) Calculate x for the 1645 cm-1 band

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For a CARS experiment on a Raman band 918 cm-1, if omega1= 1280 nm, calculate the omega2 in wavelength (nm) and the CARS output in wavelength (nm).

Answer 2

Question

Chapter 12, Problem 12.42QP

(a)

Interpretation Introduction

Interpretation: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell and the value of x if an average of one octahedral hole is occupied per unit cell is to be calculated.

Concept introduction: The atomic radius ratio range for octahedral holes is 0.41−0.73 . Metal borides ( MBx ) exists for many transition metals.

To determine: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell.

(b)

Interpretation Introduction

To determine: The value of x if an average of one octahedral hole is occupied per unit cell.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 12, Problem 12.42QP

(a)

Interpretation Introduction

Interpretation: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell and the value of x if an average of one octahedral hole is occupied per unit cell is to be calculated.

Concept introduction: The atomic radius ratio range for octahedral holes is 0.41−0.73 . Metal borides ( MBx ) exists for many transition metals.

To determine: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell.

(b)

Interpretation Introduction

To determine: The value of x if an average of one octahedral hole is occupied per unit cell.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 12, Problem 12.42QP

(a)

Interpretation Introduction

Interpretation: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell and the value of x if an average of one octahedral hole is occupied per unit cell is to be calculated.

Concept introduction: The atomic radius ratio range for octahedral holes is 0.41−0.73 . Metal borides ( MBx ) exists for many transition metals.

To determine: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell.

(b)

Interpretation Introduction

To determine: The value of x if an average of one octahedral hole is occupied per unit cell.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 12, Problem 12.42QP

(a)

Interpretation Introduction

Interpretation: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell and the value of x if an average of one octahedral hole is occupied per unit cell is to be calculated.

Concept introduction: The atomic radius ratio range for octahedral holes is 0.41−0.73 . Metal borides ( MBx ) exists for many transition metals.

To determine: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell.

(b)

Interpretation Introduction

To determine: The value of x if an average of one octahedral hole is occupied per unit cell.

Answer 6

Chapter 12, Problem 12.42QP

(a)

Interpretation Introduction

Interpretation: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell and the value of x if an average of one octahedral hole is occupied per unit cell is to be calculated.

Concept introduction: The atomic radius ratio range for octahedral holes is 0.41−0.73 . Metal borides ( MBx ) exists for many transition metals.

To determine: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell.

Answer 7

Chapter 12, Problem 12.42QP

(a)

Interpretation Introduction

Interpretation: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell and the value of x if an average of one octahedral hole is occupied per unit cell is to be calculated.

Concept introduction: The atomic radius ratio range for octahedral holes is 0.41−0.73 . Metal borides ( MBx ) exists for many transition metals.

To determine: The minimum radius for the host metal for a B atom to fit in a octahedral hole of an fcc unit cell.

Answer 8

(b)

Interpretation Introduction

To determine: The value of x if an average of one octahedral hole is occupied per unit cell.

Answer 9

(b)

Interpretation Introduction

To determine: The value of x if an average of one octahedral hole is occupied per unit cell.

Answer 10

Expert Solution & Answer

Answer 11

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Answer 12

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Answer 13

Ch. 12.2 - Prob. 1PE Ch. 12.3 - Prob. 2PE Ch. 12.4 - Prob. 3PE Ch. 12.6 - Prob. 4PE Ch. 12.6 - Prob. 5PE Ch. 12.6 - Prob. 6PE Ch. 12.6 - Prob. 7PE Ch. 12.6 - Prob. 8PE Ch. 12 - Prob. 12.1VP Ch. 12 - Prob. 12.2VP

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To determine: The value of x if an average of one octahedral hole is occupied per unit cell.

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