Concept explainers
(a)
Interpretation:
Number of cations and anions and formula units per unit cell in cesium chloride structure in solid has to be determined.
Concept Introduction:
Unit cell represents lattice structure if it stacked together repeatedly with no gaps and rotations. This can also produce whole crystals by stacking method. Basic type of unit cells is as follows:
1. Simple cubic (SC).
2. Body centered cubic (BCC).
3. Face centered cubic (FCC).
(b)
Interpretation:
Number of cations and anions and formula units per unit cell in rutile structure in solid
Concept Introduction:
Refer to part (a).
(c)
Interpretation:
Coordination number of ions in rutile structure has to be determined.
Concept Introduction:
Refer to part (a).
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
CHEM PRINCIPLES LL W/ACHIEVE ONE-SEM
- Sodium has the body-centered cubic structure, and its lattice parameter is 4.28 Å.(a) How many Na atoms does a unit cell contain?(b) What fraction of the volume of the unit cell is occupied by Na atoms, if they are represented by spheres in contact with one another?arrow_forwardTitanium 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.arrow_forwardAt room temperature, monoclinic sulfur has the unit-cell dimensions a = 11.04 Å, b = 10.98 Å, c = 10.92 Å, and B = 96.73°. Each cell contains 48 atoms of sulfur. (a) Explain why it is not necessary to give the values of the angles a and y in this cell. (b) Compute the density of monoclinic sulfur (in g cm¯³).arrow_forward
- The structure of aluminum is fcc and its density is r = 2.70 g cm-3 .(a) How many Al atoms belong to a unit cell?(b) Calculate a, the lattice parameter, and d, the nearest neighbor distance.arrow_forward3arrow_forward(a)What is the atomic radius (in nm) of a certain metal particle if it crystallizes with a face-centered cubic unit ceno.38 nm on an edge?(b) What will be its theoretical density if it has an atomic weight of 88.9 g/molarrow_forward
- The thermal and mechanical processing of materials is an important step in ensuring that they have the appropriate physical properties for their intended application. Suppose a metallic element undergoes a phase transit ion in which its crystal structure changes from cubic close-packed to bodycentredcubic. (a) Does it become more or less dense? (b) By what factor does its density change?arrow_forward(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.arrow_forwardA metal X has an atomic radius of 0.126 nm. If the density and molar mass of X are 7.87 g cm3 and 55.85 g mol1, respectively. 1. (a) (i) Determine the number of atoms per unit cell and the crystal structure of metal X. (ii) Determine the volume of the unit cell. (ii) Determine its planar density in [100], [110] and [111] directions. (iv) Explain which direction would be the most possible slip direction when shear stress is applied. (b) Explain the role of matrix and reinforcement phase in a composite material.arrow_forward
- 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.arrow_forwardFor the shown crystal structure, write down (a) the Bravais lattice and (b) the basis of the primitive unit cell. For this structure a=b= c and a=B=y%3D90°. The green (A) atoms at the vertices; blue (B) atom at the center, pink (C) atoms are the centers of two opposite faces; and brown (D) atoms at the centers of four edges of the unit cell. Note that the a, b and c translation vectors are along the positive x, y and z axes, respectively, as shown. CODarrow_forwardIron has a body-centered cubic structure with a density of 7.86 g cm-3.(a) Calculate the nearest neighbor distance in crystalline iron.(b) What is the lattice parameter for the cubic unit cell of iron?(c) What is the atomic radius of iron?arrow_forward
- Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningIntroduction to General, Organic and BiochemistryChemistryISBN:9781285869759Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar TorresPublisher:Cengage Learning