2.) A newly designed superconductor material has 3 different types of atoms in its molecular formula and has a crystal structural similar to diamond cubic with an additional atom at the body-center (like BCC). Atom A orients on the 8 vertices of the cubic lattice and at the body center. Atom B orients at the center of each face. Atom Corients at 4 tetrahedral sites residing entirely within the cubic lattice. Each cubic crystal lattice has precisely the number of atoms that matches the molecular stoichiometry: AxByCz. What is the stoichiometry of this material?

2.) A newly designed superconductor material has 3 different types of atoms in its molecular formula and has a crystal structural similar to diamond cubic with an additional atom at the body-center (like BCC). Atom A orients on the 8 vertices of the cubic lattice and at the body center. Atom B orients at the center of each face. Atom Corients at 4 tetrahedral sites residing entirely within the cubic lattice. Each cubic crystal lattice has precisely the number of atoms that matches the molecular stoichiometry: AxByCz. What is the stoichiometry of this material?

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: A crystal is composed of two elements, A and B. The basic crystal structure is a body-centered cubic…

A: The face of the body-centered cubic lattice is shown as- Atoms A are at each of the corners and…

Q: Define the term cubic closest packing?

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

A: Radius can be calculated from edge length,

Q: An ionic compound crystallizes in a body-center cubic structure. It has a metal (M) cation at the…

A: In BCC, the constituent particles are present at the corners of the cubic lattice and a single…

Q: 2. Consider the zinc blend (ZnS) crystal structure shown below, 14 a) Show that the minimum…

A: To answer: a) Show that the minimum cation-anion radius ratio is 0.225. b) Develop a general…

Q: 23. Two types of atoms (A and B) are arranged in the cubic unit cell in Fig. 1. Part 1. A-atoms…

A: Primitive cubic unit cell - atoms presents only each corner of the cube Face center cubic unit…

Q: Iron (Fe) has both face-centred cubic (fcc) and body-centred cubic (bcc) crystal structures, show…

Q: ZnO crystallizes in the same structure as ZnS (wurtzite). In other words, you can conceptually…

A: ZnO crystallizes in the same structure as ZnS (wurtzite) which is hexagonal. ZnS has 1:1 Zn to…

Q: What specific difference in the positioning of spheres gives a crystal structure based on the…

A: The atoms of a solid are considered spherical and are arranged in a crystal lattice. Various types…

Q: Which solid would you expect to have the highest melting point?(a) MgO(s) (b) I2(s) (c) Kr(s)?

A: The melting point of a substance depends upon the type of bonds present in the substance. If there…

Q: What are the number of cations and anions in each of the unit cells shown below

Q: For BCC crystal structure, which of the following statement is correct? O The BCC crystal system…

A: Statement 1 False. Since there is one closely packed crystallographic plane [111] in BCC structure.…

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

Q: Many metals and noble gases, which are monoatomic, form crystals with hcp and fcc structures. For…

A: The correct option is:

Q: 5. The structure shows anions (dark circles) in a simple cubic array with cations (white circles) in…

Q: The picture shown is a schematic of what plane? (Note that the height and width of the square are…

Q: Is it possible for a salt of formula AB₃ to have a face-centered cubic unit cell of anions with…

Concept explainers

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.

Question

2.) A newly designed superconductor material has 3 different types of atoms in its molecular
formula and has a crystal structural similar to diamond cubic with an additional atom at the
body-center (like BCC). Atom A orients on the 8 vertices of the cubic lattice and at the body
center. Atom B orients at the center of each face. Atom C orients at 4 tetrahedral sites residing
entirely within the cubic lattice. Each cubic crystal lattice has precisely the number of atoms
that matches the molecular stoichiometry: AxByCz. What is the stoichiometry of this
material?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information:

VIEW

Step 2: Calculating the number of atoms 'A' :

VIEW

Step 3: Calculating the number of atoms 'B' and 'C' :

VIEW

Step 4: Determining the stoichiometry of material:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 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

Which point defect is observed in a crystal when a vacancy is created byan atom missing from a lattice site.
Create an elaborate analysis about the description of “Face Centered Cubic Unit Cell”, and indicate some fun facts about it.
The P=T phase diagram of iron(Fe) is shown below, where the - Fe and -Fe phases are in body-centered cubic(bcc) structure, while the - Fe is in Face-centered cubic(fcc) structure. (a) Draw schematic G-T diagrams of Fe at 1 and 10^-8 atm and the G-P diagram at 1500 C. (b) Please draw schematic H-T and S-T diagrams of Fe at 1 atm. (d) Please draw schematic G-T and G-P diagrams of Fe at the fcc-liquid-Vapor triple point. (e) Please estimate the enthalpy change and entropy change of one mole of Fe being heated from 30 to 1500 °°℃. (f) Please estimate the enthalpy changes of one mole of fe under the → phase transformation at 500 and 1200 °C. (e) Please calculate the heat of evaporation of Fe at the normal boiling temperature. (h) Please explain why the phase boundaries of,, and /liquid equilibria are much steeper than those with the vapor phase in the phase diagram. Note: Please make sure the slopes and curvatures are with physical meanings
Explain face centered cubic unit cell in the simplest way possible and create an overview about it and its objective to impart on students.
Deslattes et al. found the following values for a single crystal of very pure silicon at 25 °C: ρ = 2.328 992 g cm-3, a = 543.1066 pm. Silicon has a face-centered cubic lattice like diamond. The atomic mass is 28.085 41 g mol-1. What value of Avogadro’s constant is obtained from these values?
onds remain. This test can only be taken once. Attempts Force Once started, this test must be completed in one sitting. Do not leave the test before clicking Save and Submit Completion Your answers are saved automatically. Remaining Time: 1 hour, 57 minutes, 02 seconds. * Question Completion Status: A Moving to another question will save this response. Question 15 Silver (r = 0.144 nm) crystallizes in a face centered cubic cell. What is the volume of the unit cell in cubic centimeters? What is the density of silver in g/cm3? Moving to another question will save this response.
What is the lattice parameter of the unit cell, in picometres (pm) ?
1) The volume of one ruthenium atom (molar mass = 101.1 g/mol) is 1.211x10 -23cm³. What would be the density of ruthenium in g/cm³, if ruthenium crystallized in a face-centered cubic structure?