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At what angles of incidence x rays of wave lengrh 5A will produce diffracted beam from the (110) planes in a simple cubic latice with a=10 A?
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At what angles of incidence x rays of wave lengrh 5A will produce diff...
Angles of Incidence for X-rays on (110) planes in a Simple Cubic Lattice
Given:
- Wavelength of X-rays (λ) = 5 Å
- Lattice constant (a) = 10 Å
Calculation:
The Miller indices for the (110) planes in a simple cubic lattice are (1 1 0).
The Bragg's Law for diffraction is given by:
nλ = 2d sinθ
Where:
- n = order of diffraction (1 for first order)
- λ = wavelength of X-rays
- d = interplanar spacing
- θ = angle of incidence
For the (110) planes in a simple cubic lattice:
d = a / sqrt(h^2 + k^2 + l^2)
d = 10 Å / sqrt(1^2 + 1^2 + 0^2)
d = 10 Å / sqrt(2)
d = 10 Å / 1.414
d = 7.07 Å
Plugging the values into Bragg's Law:
5 Å = 2 * 7.07 Å * sinθ
sinθ = 5 Å / (2 * 7.07 Å)
sinθ = 0.3536
θ = sin^(-1)(0.3536)
θ ≈ 20.61°
Therefore, the angle of incidence for X-rays with a wavelength of 5 Å on the (110) planes in a simple cubic lattice is approximately 20.61°.
Given:
- Wavelength of X-rays (λ) = 5 Å
- Lattice constant (a) = 10 Å
Calculation:
The Miller indices for the (110) planes in a simple cubic lattice are (1 1 0).
The Bragg's Law for diffraction is given by:
nλ = 2d sinθ
Where:
- n = order of diffraction (1 for first order)
- λ = wavelength of X-rays
- d = interplanar spacing
- θ = angle of incidence
For the (110) planes in a simple cubic lattice:
d = a / sqrt(h^2 + k^2 + l^2)
d = 10 Å / sqrt(1^2 + 1^2 + 0^2)
d = 10 Å / sqrt(2)
d = 10 Å / 1.414
d = 7.07 Å
Plugging the values into Bragg's Law:
5 Å = 2 * 7.07 Å * sinθ
sinθ = 5 Å / (2 * 7.07 Å)
sinθ = 0.3536
θ = sin^(-1)(0.3536)
θ ≈ 20.61°
Therefore, the angle of incidence for X-rays with a wavelength of 5 Å on the (110) planes in a simple cubic lattice is approximately 20.61°.
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At what angles of incidence x rays of wave lengrh 5A will produce diffracted beam from the (110) planes in a simple cubic latice with a=10 A?
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At what angles of incidence x rays of wave lengrh 5A will produce diffracted beam from the (110) planes in a simple cubic latice with a=10 A? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about At what angles of incidence x rays of wave lengrh 5A will produce diffracted beam from the (110) planes in a simple cubic latice with a=10 A? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what angles of incidence x rays of wave lengrh 5A will produce diffracted beam from the (110) planes in a simple cubic latice with a=10 A?.
At what angles of incidence x rays of wave lengrh 5A will produce diffracted beam from the (110) planes in a simple cubic latice with a=10 A? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about At what angles of incidence x rays of wave lengrh 5A will produce diffracted beam from the (110) planes in a simple cubic latice with a=10 A? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what angles of incidence x rays of wave lengrh 5A will produce diffracted beam from the (110) planes in a simple cubic latice with a=10 A?.
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