(a) A hypothetical compound MB2 crystallises in the rutile lattice structure. (i) Draw the lattice structure of the unit cell MB2. (ii) Show by calculation that the stoichiometry of the formula is consistent with the structure. (iii) Determine the coordination number of the MB₂ unit cell.

(a) A hypothetical compound MB2 crystallises in the rutile lattice structure. (i) Draw the lattice structure of the unit cell MB2. (ii) Show by calculation that the stoichiometry of the formula is consistent with the structure. (iii) Determine the coordination number of the MB₂ unit cell.

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter9: Liquids, Solids, And Materials

Section: Chapter Questions

Problem 88QRT

See similar textbooks

Related questions

Q: Calculate the density of cesium if it crystallizes in the bcc structure with an atomic radius of 272…

Q: Which of the following alloys does not contain copper? (A) Bronze (B) Pewter…

A: Bronze = copper + tin Pewter = Tin + antimony + copper Sterling silver = silver + usually copper

Q: Silicon carbide (SiC) is made by the high-temperature reaction of silica sand (quartz) with coke;…

A: Given: At high temperature, the reaction of silica sand (quartz) and coke produces silicon carbide…

Q: An orthorhombic unit cell has dimensions a = 769 pm, b = 891 pm, and c = 690 pm. Calculate the…

Q: Calculate the number of vacancies per cubic meter in gold (Au) at 900C. The energy for vacancy…

Q: 11. Several conformational isomers of butane are illustrated below. Which has the LOWEST energy? CH3…

Q: Calculate the mass density of diamond assuming that it is a close-packed structure of hard spheres…

A: a) Radius of close packed hard sphere is Mass of diamond is 12.01 g/mol. Considering close-packed…

Q: 33. Nickel crystallizes in an fcc structure, with a unit cell edge length of 352 pm. What is the…

A: Concept: Relation between radius of atom and edge length: The relation between edge length (a) and…

Q: (a) Pure iron has a change in crystal structure from BCC to FCC when heating up above 912°C. If the…

A: A unit cell is a most basic and least volume consuming repeating structure of any solid. BCC- Body…

Q: What is the arrangement of the Ca2+ ions (white spheres)? A BCC в) FCC HCP D sc

A: Arrangement of the Ca2+ ions (white sphere) = ?

Q: A unit cell has a=5Å, b=5Å, c-8Å, a=90°, B=90° ad y=90°. What will be the Bravais lattice for this…

A: Crystallography plays a fundamental role in understanding the structural properties of materials at…

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

(a) A hypothetical compound MB2 crystallises in the rutile lattice structure.
(i) Draw the lattice structure of the unit cell MB2.
(ii) Show by calculation that the stoichiometry of the formula is consistent
with the structure.
(iii) Determine the coordination number of the MB₂ unit cell.

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 with 4 images

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

(b) Many structures of ionic compounds have been described in terms of close packing of a large anion, X, with a cation, A, occupying tetrahedral or octahedral holes. (1) In a cubic close packed lattice, how many octahedral holes are there per lattice ion? (ii) What is the formula of a compound based upon a cubic close packed lattice in which of the octahedral holes are filled? (ii) State the coordination numbers and geometries of A and X In the crystal lattice in part (b)(ii) above.
Titanium carbide, TiC, adopts the rock-salt (NaCl) crystal structure. (i) Draw the unit cell indicating clearly the position of all atoms.(ii) The unit cell parameter for TiC is 0.4329 nm. Calculate the C-Cdistance, the Ti-C bond length and the Ti-Ti distance.
Iodine has an orthorhombic unit cell for which the a, b, and c lattice parameters are 0.479, 0.725, and 0.978 nm, respectively. (a) If the atomic packing factor and atomic radius are 0.547 and 0.177 nm, respectively, determine the number of atoms in each unit cell. (b) The atomic weight of iodine is 126.91 g/mol; compute its theoretical density.
(3) The unit cell length of NaCl is 5.63 Å. Determine the density of NaCl.
Some oxide superconductors adopt a crystal structure similar to that of perovskite (CaTiO3). The unit cell is cubic with a Ti4+ ion in each corner, a Ca2+ ion in the body center, and O2- ions at the midpoint of each edge. (a) Is this unit cell simple, body-centered, or face-centered? (b) If the unit cell edge length is 3.84 Å, what is the density of perovskite (in g/cm3)?
1.Indium has a tetragonal unit cell for which the a and c lattice parameters are 0.459 and 0.495 nm, respectively. (a) If the atomic packing factor and atomic radius are 0.693 and 0.1625 nm, respectively, determine the number of atoms in each unit cell. (b) The atomic weight of indium is 114.82 g/mol; compute its theoretical density.
12. Which one of the following statements is INCORRECT: (A) X-ray crystallography can give the three-dimensional arrangement of all the atoms in a molecule The ratio of the two main isotopes of Cl (chlorine) is about 3:1 (B) (C) The index of hydrogen deficiency (IDH) for C5H8O is 4. (D) Generally speaking, the longer the wavelength of the UV-Vis spectrum maximum (2max), the more conjugated the molecule is. The energy of photons used in UV-Vis spectroscopy is much higher than those used in NMR spectroscopy. (E)
What is the answer
NaH crystallizes with the same crystal structure as NaCl. The edge length of the cubic unit cell of NaH is 4.880 Å.(a) Calculate the ionic radius of H−. (The ionic radius of Li+ is 0.0.95 Å.)(b) Calculate the density of NaH.
(a) Pure iron has a change in crystal structure from BCC to FCC when heating up above 912°C. If the atomic radius of an Fe atom is 0.124 nm, calculate the volumes of the FCC and BCC unit cells. (b)Recall that there are two atoms per BCC unit cell, and four atoms per FCC unit cell. With this information in mind, calculate the percent change in volume of a sample of pure Fe as it transforms from an FCC to a BCC structure upon cooling below 912°C. Specify if this percent change manifests as an increase or decrease in volume of the sample.
Sodium oxide (Na2O) adopts a cubic structure with Na atomsrepresented by green spheres and O atoms by red spheres. (a) How many atoms of each type are there in the unit cell?(b) Determine the coordination number and describe theshape of the coordination environment for the sodiumion.(c) The unit cell edge length is 5.550 Å. Determine the densityof Na2O.
Silicon carbide (SiC) is made by the high-temperature reaction of silica sand (quartz) with coke; the byproduct is carbon monoxide.(a) Write a balanced chemical equation for this reaction.(b) Calculate the standard enthalpy change per mole of SiC produced.(c) Predict (qualitatively) the following physical properties of silicon carbide: conductivity, melting point, and hardness.