×
Get Full Access to Quantitative Chemical Analysis - 8 Edition - Chapter 19 - Problem 19-a
Get Full Access to Quantitative Chemical Analysis - 8 Edition - Chapter 19 - Problem 19-a

×

# (a) If a diffraction grating has a resolution of 104 , is it possible to distinguish two ISBN: 9781429218153 475

## Solution for problem 19-A Chapter 19

Quantitative Chemical Analysis | 8th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Quantitative Chemical Analysis | 8th Edition

4 5 1 309 Reviews
22
2
Problem 19-A

(a) If a diffraction grating has a resolution of 104 , is it possible to distinguish two spectral lines with wavelengths of 10.00 and 10.01 m? (b) With a resolution of 104 , how close in wavenumbers (cm1 ) is the closest line to 1 000 cm1 that can barely be resolved? (c) Calculate the resolution of a 5.0-cm-long grating ruled at 250 lines/mm for first-order (n 1) diffraction and tenth-order (n 10) diffraction. (d) Find the angular dispersion ( , in radians and degrees) between light rays with wavenumbers of 1 000 and 1 001 cm1 for second-order diffraction (n 2) from a grating with 250 lines/mm and 30. 19-B.

Step-by-Step Solution:
Step 1 of 3

Chapter 11: Calculations with Unit Cells 2/1/16 Polymorphic – substance can exist in more than one structure X­ray Diffraction crystallography: determine the structure; finds where each atom sits in 3D ­ Crystals are highly ordered Constructive Interference: brighter, larger amplitude Destructive Interference: dimmer; smaller amplitude *If the difference in distance travelled by wavelength is an integer, then the waves are constructive so the light will be lighter Bragg’s Law: nλ=2dsinθ 2a n = integer (n = 1: first order diffraction; n = 2: second order diffraction, etc.) λ = wavelength (m) d = distance of separation between layers (m) θ = angle of incidence Chapte

Step 2 of 3

Step 3 of 3

##### ISBN: 9781429218153

Unlock Textbook Solution