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- 8.98 If you know the density of material and the length of the edge of its cubic Iattice, how would you determine if it is face-centered cubic, body-centered cubic, or simple cubic Would you have to look up any information?The largest molecule for which a diffraction pattern has been observed is buckminsterfullerene, C60 (this is an allotrope of carbon in which the atoms are arranged in a pattern similar to that of a soccer ball). The diffraction pattern suggested a molecular wavelength of 2.5 pm. What was the velocity of the fullerenes?A solid is thought to have an orthorhombic structure. Calculate the positions D and 2θ for the plane 111 expected in the diffraction pattern as a result of CuKa radiation(λ=1.54 Å), since the edges of the unit cell are a= 3.50 Å, B=4.0 Å, C=5.5 Å.
- What is the first-order scintillation angle of the shimmering x-rays of a crystal surface with a distance between planes of 0.204 nm and a wavelength of 0.154 nm.I am given a sample of an unknown metal X. The density of the metal is 8.90g/cm3. X-ray diffraction studies determine that the packaging of the metal is face centered cubic, and they also measure the radius of X to be 128pm. Find the identity of X.It is thought that a solid substance has an orthorhombic structure. Since the edges of the unit cell are a = 3.50Å, b = 4.0 Å, c = 5.5 Å, calculate the d and 2θ positions for the 111 plane expected in the diffraction pattern as a result of CuKα radiation (λ = 1.54 Å).b) What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)?
- Below, two x-ray diffraction patterns obtained from two samples of the same material, but different crystal sizes are given. Which of the two (the top or the bottom one) has a smaller crystal size? On what feature of these XRD patterns are you basing your answer? Explain in detail how this feature of the XRD pattern indicates crystal sizeThe surface energy of a single crystal depends on crystallographic orientation. Does this surface energy increase or decrease with an increase in planar density? Why?3 Rubidium (Rb) adopts a body-centred cubic, BCC, structure at a pressure of 1 atm. Upon application of high pressure (of the order of 30,000 atm), Rb undergoes a structural phase transition to a face-centred-cubic, FCC, structure. (i) Describe what could be the main factor that induces the phase transformation. (ii) Describe how the diffraction patterns of the two forms would differ.
- a) It is considered that a solid substance has an orthorhombic structure. Since the edges of the unit cell are a = 3.50Å, b = 4.0 Å, c = 5.5 Å, calculate the d and 2θ positions for the 111 plane expected in the diffraction pattern as a result of CuKα radiation (λ = 1.54 Å). b) What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)?The second-order Bragg diffraction of X-rays with l= 1.660 Å from a set of parallel planes in copper occurs at an angle 2Q = 54.70°. Calculate the distance between the scattering planes in the crystal.It is considered that a solid substance has an orthorhombic structure. Since the edges of the unit cell are a = 3.50Å, b = 4.0 Å, c = 5.5 Å, calculate the d and 2θ positions for the 111 plane expected in the diffraction pattern as a result of CuKα radiation (λ = 1.54 Å). b)What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)? please answer b