(a) Interpretation: An echelle grating has a focal length of 0.85 m, diffraction angle of 61°16’ and groove density of 120 groves/mm. Reciprocal linear dispersion for diffraction order 30 of an echelle grating needs to be determined. Concept introduction: Theoretical reciprocal linear dispersion can be calculated by the following formula- D − 1 = d cos β n f Here, D -1 = reciprocal linear dispersion d= groove width of echelle grating n= no. of order f= focal length β= angle of diffraction

BuyFind

Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213
BuyFind

Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213

Solutions

Chapter 10, Problem 10.4QAP
Interpretation Introduction

(a)

Interpretation:

An echelle grating has a focal length of 0.85 m, diffraction angle of 61°16’ and groove density of 120 groves/mm. Reciprocal linear dispersion for diffraction order 30 of an echelle grating needs to be determined.

Concept introduction:

Theoretical reciprocal linear dispersion can be calculated by the following formula-

D1=dcosβnf

Here,

D-1= reciprocal linear dispersion

d= groove width of echelle grating

n= no. of order

f= focal length

β= angle of diffraction

Interpretation Introduction

(b)

Interpretation:

Reciprocal linear dispersion for diffraction order 90 for same echelle grating is to be determined.

Concept introduction:

Theoretical reciprocal linear dispersion can be calculated by the following formula-

D1=dcosβnf

Here,

D-1= reciprocal linear dispersion

d= groove width of echelle grating

n= no. of order

f= focal length

β= angle of diffraction

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