**Consider the three types of cubic unit cells:**1. **Primitive Cubic:** - This diagram illustrates a primitive cubic unit cell where atoms are located at each corner of the cube. This configuration is the simplest form of a cubic lattice structure, exhibiting basic and uniform spacing of atoms.2. **Body-Centered Cubic:** - In this structure, atoms are positioned at each corner of the cube and an additional atom is located at the very center of the cube. This arrangement leads to a more compact and denser structure compared to the primitive cubic.3. **Face-Centered Cubic:** - This setup shows atoms at each corner and one atom centered on each face of the cube. This arrangement allows for a highly efficient packing of atoms, resulting in a dense structure with atoms touching along the face diagonals.Beneath each diagram, a model shows how the atoms interact with each other in terms of space, using colored spheres and solid shapes. The diagrams help in visualizing the atomic arrangement and spacing in three different types of cubic structures. Now assume a face-centered cubic unit cell. What is the percentage of empty space within this unit cell?[Input box] % empty space

Answered: Image /qna-images/answer/c86c69de-daec-4f85-9f8c-a090609083ee.jpg

Answered: Now assume a face-centered cubic unit…

Science

Chemistry

Now assume a face-centered cubic unit cell. What is the percentage of empty space within this unit cell? % empty space

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: Platinum crystal has a face-centered cubic unit cell. How many atoms of platinum are there in the…

A: FCC unit cell means Face centered cubic unit cell In face centered cubic unit cell particles are…

Q: А. this question. Sketch one 'face' of a unit cell for SC, FCC and BCC. A total of 3 sketches are…

A: The SC unit cell is shown below. The FCC unit cell is shown below. The BCC unit cell is shown…

Q: Lead crystallizes as a face centered cubic unit cell. What is the mass of a single unit cell of Pb.…

A: Mass of 1 mole atom is called molar mass

Q: true or false The density of the unit cell must be the same as the density of the bulk material.…

Q: A metal crystallizes in a body centered cubic unit cell. The radius of one atom = 1.66 x 10 -8 cm.…

A: Answer:Unit cell is the smallest unit of crytsal structure whose continuous repetition forms the…

Q: Calcium sulfide packs into a regular pattern in a three dimensional lattice. The unit cell is the…

Q: Metallic barium crystallizes in a body-centered cubic lattice, with one Ba atom per lattice point.…

A: We have to calculate the volume of the given unit cell in cm3 and in pm3 .Given:radius of Ba = 217…

Q: What is the volume of a single lattice cell in cubic centimeters for an atom with a radius of 151 pm…

A: Step 1:In face centered cubic cell the atoms are connected face diagonally. Thus,For face centered…

Q: All the following statements describing unit cells are correct, except........ ○ In a face -…

A: Unit cells, which serve as the foundation of crystals, are the smallest repeating units in the…

Q: Assume X has a body- centered cubic lattice with all atoms at the lattice points. The edge length of…

A: In a body centered unit cell one atom exist in the center and eight 1/8 atom lies in the corner of…

Q: A metallic element crystallizes in a face-centered cubic unit cell with an edge length of 344.68pm,…

A: First, we need to convert the edge length from picometers (pm) to centimeters (cm). We know that 1…

Q: The radius of a single atom of a generic element X is 149 pm and a crystal of X has a unit cell that…

A: Here, Radius of X = 149pm=149×10-12m The unit cell is face-centered cubic.

Q: Metallic aluminum crystallizes in a face-centered cubic lattice, with one Al atom per lattice point.…

Q: Iridium crystallizes in a face-centered unit cell with the side of the cell measuring 0.3833nm.…

A: The shape of the FCC unit cell is Cubic. Therefore the volume and face diagonal of the cubic unit…

Q: What is the simplest formula of a solid containing A, B, and C atoms in a cubic lattice in which A…

A: To know the formula we identify the position of atoms and the contribution at each place. A present…

Q: 7. Sketch the [110] direction and (110) plane in a cubic unit cell. Is there any geometrical…

A: Miller indices are group of three numbers which indicates the orientation of a plane or set of…

Q: Most important constraints in selecting a unit cell?

A: Unit cell is the smallest repeating unit .

Q: Calcium sulfide has a face-centered cubic unit cell with sulfide ions in octahedral holes. Remember,…

Q: Within a cubic unit cell, rank the following interplanar spacings from smallest to largest. (1 =…

A: Attached is the detailed solution for the question

Q: The radius of a single atom of a generic element X is 161 picometers (pm) and a crystal of X has a…

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

**Consider the three types of cubic unit cells:**

1. **Primitive Cubic:**
- This diagram illustrates a primitive cubic unit cell where atoms are located at each corner of the cube. This configuration is the simplest form of a cubic lattice structure, exhibiting basic and uniform spacing of atoms.

2. **Body-Centered Cubic:**
- In this structure, atoms are positioned at each corner of the cube and an additional atom is located at the very center of the cube. This arrangement leads to a more compact and denser structure compared to the primitive cubic.

3. **Face-Centered Cubic:**
- This setup shows atoms at each corner and one atom centered on each face of the cube. This arrangement allows for a highly efficient packing of atoms, resulting in a dense structure with atoms touching along the face diagonals.

Beneath each diagram, a model shows how the atoms interact with each other in terms of space, using colored spheres and solid shapes. The diagrams help in visualizing the atomic arrangement and spacing in three different types of cubic structures.

Now assume a face-centered cubic unit cell. What is the percentage of empty space within this unit cell?

[Input box] % empty space

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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

Briefly compare the packing efficiency of the unit cells for a simple cubic unit, a body-centered cubic unit, and a face-centered cubic unit?
In the cubic unit cell below, white spheres are sulfur atoms and black spheres are potassium atoms. Complete the table, then answer the questions. White spheres Black spheres How many spheres are on the corners of the unit cell? How many spheres are on the edges of the unit cell? How many spheres are on the faces of the unit cell? How many spheres are entirely inside the unit cell? If all the sphere segments inside the unit cell boundaries were cut out and glued together, how many whole spheres could be made? How many spheres of the other color does each sphere touch? a) Which kind of cubic unit cell is it? How do you know? b) What is the formula of the compound shown?
An element has a face-centered cubic unit cell and an atomic radius of 135.5 pm.Calculate the edge length of the unit cell in units of m Determine the number of atoms in the unit cell .
Chromium forms a body-centered cubic unit cell and has a density of 7.18 g/cm3. From this information, determine the radius of a chromium atom. pm
Copper has a face-centered cubic unit cell. The density of copper is 8.96 g/cm3. Calculate a value for the atomic radius of copper.
Assume some metal X that has a body- centered cubic lattice with all atoms at lattice points. Its density is 3.11 g/cm3 and its atomic weight is 157.3 amu. From these data, calculate the edge length of a unit cell. Edge length = %3D pm