Part A&B Please Problem 34.18 Constants| Periodic Table Part A You are doing x-r

Question

Part A&B Please

Problem 34.18 Constants| Periodic Table Part A You are doing x-ray diffraction on a crystal that has a cubic structure, using 0.530-m x rays. If the lattice spacing is d = 6.70 × 10-10 m, what is the greatest Bragg angle at which you observe peaks in the intensity of the diffracted rays? Submit X Incorrect; Try Again; 3 attempts remaining Part B What is the second greatest Bragg angle at which you observe peaks in the intensity of the diffracted rays? 2nd highest = Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Provide Feedback

Explanation / Answer

lambda=0.530 nm

lattice space, d=6.7*10^-10 m

a)

use,

2*d*sin(theta)=n*lambda

2*d*sin(theta1)=n1*lambda

2*6.7*10^-10*sin(theta)=1*0.530*10^-9

==>

sin(theta1)=0.530*10^-9/(2*(6.7*10^-10))

==>

theta1=23.29 degrees

b)

again,

2*d*sin(theta2)=n2*lambda

2*6.7*10^-10*sin(theta2)=2*0.530*10^-9

==>

sin(theta2)=0.530*10^-9/(6.7*10^-10)

==>

theta2=52.28 degrees

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