3- In the next figure, the results of the X-ray diffraction of nickel has FCC crystalstructure:Intensity354044.496 (Ni)455051.849 (Ni)552060b- Calculate the radius of the Nickel atom.657076.381 (Ni)7580a- If you know that the Miller indices for the three peaks are (hkl)= (111), (002),(022). Calculate the lattice constant if you know that the wavelength of the x-raysused is λ=1.54A?

Given: Miller indices for three peaks (hkl) =(111),(002), (022) λ=1.54A° To Calculate: Part a)…

Answered: In the next figure, the results of the…

Science

Chemistry

In the next figure, the results of the X-ray diffraction of nickel has FCC crystal structure:

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Related questions

Q: Calculate the density of sodium metal in primitive cubic, face-centered cubic and body-centered…

A: Note:Sodium metal gets crystalized in body-centered cubic lattice and has an edge length (a) of 4.59…

Q: Shown below is the crystal structure of cesium chloride. A) What crystal structure is this? B) How…

A: CsCl is crystal made up of Cs+ and Cl- ion. Where Cl- is at all the corners of cubic cell and Cs+…

Q: Consider a metal with a BCC crystal structure and atomic weight 92.91 g/mole. When monochromatic…

Q: A: If you are told that a certain metal element has a simple cubic unit cell structure, what…

A: In a simple cubic structure, each atom contributes the equivalent of one-eighth of an atom to the…

Q: 1. How many unit cells will be occupied by 16 atoms if the metal has face centered cubic structure?…

A: A question based on solid state, which is to be accomplished.

Q: Outline the type of defects in Crystalline structure

A: To outline the type of defects in Crystalline structure.

Q: Draw unit cell for face-centered cubic crystal structures (FCC). Show number of atoms per unit cell…

A: The unit cell is defined as the smallest repeating unit having the full symmetry of the crystal…

Q: Question B1 a) A hexagonal close-packed layer in two dimensions is shown in figure 2. By identifying…

A: To calculate the packing fraction for (a) a hexagonal close-packed layer (or HCP lattice) (b) (i) a…

Q: Figure below shows the first four peaks of the x-ray diffraction pattern for copper, which has a…

A: Introduction: X-ray diffraction, a phenomenon in which the atoms of a crystal, by virtue of their…

Q: erf z 1.80 0.9891 1.90 0.9928 The accompanying figure shows three different crystallographic planes…

A: To Find: To draw the unit cell and find the crystal system the unit belongs and what would the…

Q: In X-ray crystallography, a small amount of oil is often used to mount the crystal sample on a glass…

A: X-ray crystallography help to determine the structure of crystalline structure. Diffraction is the…

Q: A metal crystallizes in the face-centered cubic (FCC) lattice. The density of the metal is 21450…

A: Molar mass is the mass of 6.02 * 1023 atoms. To find the mass of one atom, molar mass must be…

Q: Gold (atomic radius= 1.44 Å) crystallizes in a cubic closely packed structure. Calculate the edge…

A: Atomic radius = 1.44 A°Edge length=?Denisty=?

Q: QUESTION: Calculate the number of unit cells in 0.5 cm^3 of iron solid sample if iron has an atomic…

Q: I am given a sample of an unknown metal X. The density of the metal is 8.90g/cm3. X-ray diffraction…

Q: Which of the following characterization techniques are well suited for obtaining the…

A: Crystallography refers to the technique by which the structure and the arrangement of the atoms in a…

Q: Calculate the atomic packing fraction for the simple-cubic (sc) structure? How does it compare with…

Q: Q3) The figure below shows an x-ray diffraction pattern for erbium nitride (ErN) FCC crystal…

A: It's a multiple part question type and according to Bartleby, we are supposed to answer only 1 part…

Q: A primitive cubic unit cell has: O 1 lattice point on every corner 8 total lattice points a packing…

A: we have to select the true statement with respect to primitive cubic unit cell

Q: 8. Spherical Au nanoparticles with a diameter of 4 nm are known to crystallize into fcc…

A: a) The maximum diameter associated with the octahedra holes in the FCC super lattices: Let us…

Q: A crystalline sample has a diffraction peak at 17.2°. What is the corresponding d space in pm?…

A: Using Bragg's Law we Can solve this problem and calculate the value of 'd'

Q: A crystal was analyzed using X-ray diffraction with radiation Element a (pm) from an iron source.…

Q: Unit Cells in Three Dimensions-Filling a Crystal Lattice 7. Determine the length of the unit cell…

Q: Which of the following steps is not part of structure determination by X-ray diffraction? A) Growing…

A: A common method for determining the crystallinity and structure of solid samples is X-ray…

Q: Describe three methods you would use to grow single crystals to be used in single crystal x-ray…

A: Grown single crystals should be 1. Single, 2. Perfectly shaped, 3. Around 0.1 - 0.3 mm in all three…

Q: Given: FCC crystal Lattice parameter = 0.512 nm %3D Plane: 1/2 Determine the interplanar distance,…

A: Given data

Q: Calculate the following: • Number of atoms in the unit cell. • The coordination number • Packing…

A: Please find your solution below :

Q: A crystal was analyzed using X-ray diffraction with radiation from a chromium source. The observed…

Q: Which of those molecules can be considered as a highly aperiodic crystal

A: A crystal which is not having these properties : ideal, sharp diffraction peaks on the positions of…

Q: It is not possible to pack spheres together without leaving some void spaces between the spheres.…

A: In a face centred cubic lattice, atoms are present on all corners as well as on the centre of all…

Q: A crystal was analyzed using X-ray diffraction with radiation from a chromium source. The observed…

A: A crystal was analyzed using X-ray diffraction with radiation from a chromium source. The observed…

Q: 1. An ionic compound composed of chromium ions and oxide ions crystallizes into a face-centered…

A: Hello. Since the question contains multiple parts, the first part is solved. In case the solution…

Q: Compare the crystal structure of diamond (C) and zinc blended (ZnS). What are the key similarities…

A: Similarities: Both diamond and zinc blend have FCC lattice structure. Each carbon atom in diamond…

Q: e a rhombohedral crystal system fro

A: Given Differentiate a rhombohedral crystal system from a monoclinic crystal system.

Q: 1. A metallic solid ingot has a mass of 14.7 grams. It was loaded into a graduated cylinder…

A: The density of ingot is calculated in step two.

Q: Which of the following steps is not part of structure determination by X-ray diffraction? A) Growing…

A: Given steps, A) Growing a crystal. B) Exposure of the sample to high energy beams of light with a…

Q: Introduction of carbon into a metallic lattice generally resultsin a harder, less ductile substance…

A: Introduction of carbon into a metallic lattice generally results in a harder , less ductile…

Q: indicate

A: Dear student I have given answer to your question in the image format.

Q: a face centered cubic structure had 4 atoms in its unit cell, with the aid of a diagram explain why

A: A fcc lattice has atoms at each faces (six faces) and each corners (eight corners) of the cube.

Concept explainers

Crystallography

Crystallography is the category of science that focuses on the atomic and molecular arrangements with their bonding constituting the crystal structure. It is derived experimentally and originated in the year 1912. It is a combination of two words; those are crystal, meaning a cold drop, and graph, meaning writing.

Question

3- In the next figure, the results of the X-ray diffraction of nickel has FCC crystal
structure:
Intensity
35
40
44.496 (Ni)
45
50
51.849 (Ni)
55
20
60
b- Calculate the radius of the Nickel atom.
65
70
76.381 (Ni)
75
80
a- If you know that the Miller indices for the three peaks are (hkl)= (111), (002),
(022). Calculate the lattice constant if you know that the wavelength of the x-rays
used is λ=1.54A?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

Potassium has a density of 0.856 g/cm3 and crystallizes with a body-centered cubic unit cell structure. What is the atomic radius of the atom? I am having issues rearranging for r
Explain face centered cubic unit cell in the simplest way possible and create an overview about it and its objective to impart on students.
66 X-ray, Neutron, and Electron Diffraction in Crystals 14. Which of the following reflections would be missing in a bcc lattice: (100), (110), (111), (200), (210), (220), (211)? Answer a similar question for an fcc lattice.
In terms of electron energy band structure, discuss the differences in optically transparent, translucent and opaque materials.
The metal rhodium (Rh) has an FCC crystal structure. If the angle of diffraction for the (311) set of planes occurs at 36.12° (first-order reflection) when monochromatic x-radiation having a wavelength of 0.0711 nm is used, compute the following: The interplanar spacing for this set of planes
What is diffraction? What are the versions of x-ray diffraction? Discuss how it can be used in determining the crystal structure materials (such as figuring out if it's BCC, FCC, or something else).
The metal MIhas an FCC crystal structure. If the angle of diffraction for the (220) set of planes occurs at 69.22°(first-order reflection) when monochromatic x-radiation having a wavelength of 0.1542 nm is used, compute (a) the interplanar spacing for this set of planes,(b) the lattice parameter (the cubic edge length)a, (c) atomic radius for aMIatom.
What does the simple cubic unit cell consist of?
i. Identify the crystal lattice of the chloride ions. Is this a close-packed lattice? ii. Identify the type of interstitial sites the copper ions are occupying. What percentage of this type of interstitial site is occupied in this structure?
The unit cell of strontium titanate SrTiO3 is depicted on the left in the figure below showing the crystal structure as confirmed by X-ray diffraction experiments. The lattice constant is a - 3.9 × 10-¹0 m. A typical X-ray powder diffraction spectrum is displayed on the right. The wave length of the X-ray beam (Cu-Ka radiation) is λ = 1.54 × 10-¹⁰ m. Unit cell of SrTiO3; Sr atoms are shown in blue, Ti in black and the oxygen atoms are in red. Normalized intensity (a.u.) (001) 20 (011) 30 (III) 40 (200) (210) 50 (211) (220) (300) 60 20 (degrees) 70 (310) (311) >(222) (320) 80 90 (17) 100 X ray powder diffraction data for SrTiO3; the plot shows an overlay for two different SrTiO3 samples. [L. da Silva et al, J. Nanomat., doi:10.1155/2012/890397] a) Identify the Bravais lattice of SrTiO 3and specify the basis for the primitive unit cell shown in the figure. b) Explain how the Miller indices (hkl) describe a family of lattice planes. State a set of possible reciprocal lattice vectors. c)…
An X-ray beam of l = 154 pm is incident on the surface of an unknown metallic crystal. It produces a maximum diffraction at an angle of u = 29.1°. Assuming n = 1, calculate the separation between layers of metal atoms inthe crystal.a) 316 pm b) 105 pmc) 154 pm d) 158 pm