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The angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å when chromium Kα radiation of wavelength 2.29 Å is used, is (rounded up to first decimal place):
Correct answer is between '29.5,30.5'. Can you explain this answer?
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We can use Bragg's law to determine the angle at which first order Bragg reflection is observed from (110) plane in a simple cubic unit cell:
nλ = 2dsinθ
where n is the order of reflection (n=1 for first order), λ is the wavelength of X-rays used, d is the interplanar spacing for the (110) plane in a simple cubic unit cell, and θ is the angle of incidence.
The interplanar spacing for the (110) plane in a simple cubic unit cell can be calculated using the formula:
d = a/√(h²+k²+l²)
where a is the side length of the unit cell, and h, k, l are the Miller indices for the plane.
For (110) plane, h=1, k=1, l=0
So, d = a/√(1²+1²+0²) = a/√2
Given a = 3.238 Å, we can calculate d:
d = 3.238/√2 Å = 2.290 Å
Assuming the X-ray wavelength used is 1 Å (typical for Cu Kα radiation), we can now calculate the angle of incidence θ:
nλ = 2dsinθ
1 Å = 2(2.290 Å)sinθ
sinθ = 0.217
θ = sin⁻¹(0.217) = 12.6°
Therefore, the angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å is 12.6°.
nλ = 2dsinθ
where n is the order of reflection (n=1 for first order), λ is the wavelength of X-rays used, d is the interplanar spacing for the (110) plane in a simple cubic unit cell, and θ is the angle of incidence.
The interplanar spacing for the (110) plane in a simple cubic unit cell can be calculated using the formula:
d = a/√(h²+k²+l²)
where a is the side length of the unit cell, and h, k, l are the Miller indices for the plane.
For (110) plane, h=1, k=1, l=0
So, d = a/√(1²+1²+0²) = a/√2
Given a = 3.238 Å, we can calculate d:
d = 3.238/√2 Å = 2.290 Å
Assuming the X-ray wavelength used is 1 Å (typical for Cu Kα radiation), we can now calculate the angle of incidence θ:
nλ = 2dsinθ
1 Å = 2(2.290 Å)sinθ
sinθ = 0.217
θ = sin⁻¹(0.217) = 12.6°
Therefore, the angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å is 12.6°.
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The angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å when chromium Kα radiation of wavelength 2.29 Å is used, is (rounded up to first decimal place):Correct answer is between '29.5,30.5'. Can you explain this answer?
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The angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å when chromium Kα radiation of wavelength 2.29 Å is used, is (rounded up to first decimal place):Correct answer is between '29.5,30.5'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å when chromium Kα radiation of wavelength 2.29 Å is used, is (rounded up to first decimal place):Correct answer is between '29.5,30.5'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å when chromium Kα radiation of wavelength 2.29 Å is used, is (rounded up to first decimal place):Correct answer is between '29.5,30.5'. Can you explain this answer?.
The angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å when chromium Kα radiation of wavelength 2.29 Å is used, is (rounded up to first decimal place):Correct answer is between '29.5,30.5'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å when chromium Kα radiation of wavelength 2.29 Å is used, is (rounded up to first decimal place):Correct answer is between '29.5,30.5'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å when chromium Kα radiation of wavelength 2.29 Å is used, is (rounded up to first decimal place):Correct answer is between '29.5,30.5'. Can you explain this answer?.
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