CsBr crystallises in a BCC lattice with lattice parameter of 4.29Å. The angle at which the second order reflection maxima may be expected from (111) planes (when X-rays of wavelength 0.50Å are used) is ______Å. (upto two decimal places)Correct answer is between '11.60,11.70'. Can you explain this answer?

Question

CsBr crystallises in a BCC lattice with lattice parameter of 4.29&Aring;. The angle at which the second order reflection maxima may be expected from (111) planes (when X-rays of wavelength 0.50&Aring; are used) is ______&Aring;. (upto two decimal places)Correct answer is between '11.60,11.70'. Can you explain this answer?

Answer

The lattice parameter of a crystal refers to the distance between the lattice points in the crystal lattice. For CsBr, it crystallizes in a Body-Centered Cubic (BCC) lattice structure.

In a BCC lattice, the lattice parameter (a) can be related to the atomic radius (r) of the atoms in the crystal using the formula:

a = 4√(2) * r

Given that the lattice parameter (a) for CsBr is 4.29, we can rearrange the formula to solve for the atomic radius (r):

r = a / (4√(2))

Plugging in the value of a = 4.29 into the equation, we get:

r = 4.29 / (4√(2))

r ≈ 1.21 Å (angstroms)

Therefore, the atomic radius of CsBr in this BCC lattice structure is approximately 1.21 Å.

Similar Chemistry Doubts

Two lines, A and B, of an X-ray beam, give second-order reflection maximum at a glancing angle of 60° and third-order reflection maximum at an angle of 30° respectively from the face of the same crystal. If the wavelength of line B is 0.25 nm, then the wavelength of line A will be

The diffraction of Barium atom with x-ray radiation of wavelength 2.29Å gives a first order reflection at 30°. What is the distance between the diffracted planes? [Gives Sin30 = ½, rounded up to two decimal place]: Correct answer is between '2.28,2.30'. 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 plac e): Correct answer is between '29.5,30.5'. Can you explain this answer?

The reflection from (111) planes of cubic crystal was observed by glancing angle of 11.2 when Xrays of wavelength 154 ×10^-12m where use what is the length of side of the unit cell? At what angle the reflection will take place from (123) planes?

Top Courses for Chemistry

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams