### Do both unit cells shown below represent the same compound?#### Unit Cell DiagramsIn the figure below, two unit cell structures are displayed side by side. Each diagram represents a crystallographic unit cell, which is the smallest repeating unit that constitutes the entire crystal structure. The coloring scheme for the atoms in the unit cells is as follows:- **Titanium:** Represented by grey spheres.- **Calcium:** Represented by yellow spheres.- **Oxygen:** Represented by red spheres.#### Explanation of Each Unit Cell**1. Left Unit Cell:**- Composition: - The corners of the unit cell are occupied by yellow spheres (Calcium). - Inside the unit cell, red spheres (Oxygen) are placed at the face centers and body-centered positions. - Grey spheres (Titanium) are located inside the unit cell but not at symmetrical positions.**2. Right Unit Cell:**- Composition: - The corners and the centers of the faces of the unit cell are occupied by red spheres (Oxygen), forming an arrangement of atoms in the cubic structure. - Grey spheres (Titanium) are positioned at the face centers. - A single yellow sphere (Calcium) is centered inside the cell.#### AnalysisTo determine whether both unit cells represent the same compound, we need to evaluate the relative positions of Titanium, Calcium, and Oxygen atoms in each structure. The arrangement and connectivity of these atoms must be consistent across both unit cells for them to represent the same compound.#### ConclusionBoth unit cells illustrate different arrangements of Titanium, Calcium, and Oxygen atoms, which need further examination to conclude if they form the same compound or different compounds. Comparing their atomic ratios, lattice constants, and symmetry will provide additional insights into their crystallographic equivalence.

The given unit cells are represented as follows:

Answered: Do both unit cells shown below…

Science

Chemistry

Do both unit cells shown below represent the same compound? Titanium Calcium Охygen

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: Which of the following options is consistent with the unit cell plane depicted below? a√2 FCC {100}…

A: We can see from the picture that the line can pass through each face of the atom. No atom will be…

Q: sdaswTantalum is a rare, hard, blue-gray, lustrous transition metal that is highly…

Q: A hypothetical metal A with a BCC lattice structure has a density of 8.87 g/cm3.If a hypothetical…

A: Here density of metal A is given as 8.87 g/cm3. The formula to calculate the density is, d=Z×MNA×a3…

Q: Which allotrope of sulphur is thermally stable at room temperature?

A: Sulfur exists in various allotropes. The most important among them are: Rhombic Sulfur (α-sulfur)…

Q: How many Mn4 + and O2- ions are in the unit cell of the rutile MnO2?

A: The rutile structure for MnO2 can be given as follows:

Q: A hypothetical metal A with a BCC lattice structure has a density of 8.87 g/cm3. If a hypothetical…

A: Given: density of the metal A = 8.87 g/cm3 To find: The density of metal B

Q: Silicon has a face-centred cubic structure with two atoms per lattice point, just like diamond. At…

A: Given : a = 543.1 pm

Q: The ionic radii of the Mg21 and 022 ions are 0.86 Å and 1.26 Å, respectively. Given that the…

Q: What is the difference between a primitive and body centered unit cell?

Q: Lead, Pb, is used in solders as radiation shield. It adopts the face centered cubic unit structure…

A: Given question related to calculation of density of lead.

Q: Do the atoms of silicon dioxide are aranged in crystalline or amorphous state? If so, what is (are)…

A: 1) Crystalline: These are the solids whose constituent particles are arranged in definate pattern.…

Q: Write amorphous carbon

A: Amorphous carbon is basically is reactive carbon which not having crystalline structure.

Q: An isotropic amorphous vitreous substance (meaning that it has the same refractive index regardless…

A: The term "isotropic amorphous vitreous substance" applies to materials exhibiting uniform properties…

Q: Determine indices for the directions shown in the following hexagonal unit cells:

Q: The ionic compound, CsCl, forms a body centered cubic structure (see below) where the anions occupy…

A: Given : Structure of CsCl is BCC i.e body centered cubic. Density of CsCl = 3.99 g/cm3 And ionic…

Q: Is interatomic bonding in ceramics always ionic? Or is that false?

A: Ceramics : These are very brittle , corrosion resistant material made from inorganic non metallic…

Q: (a) 03 N a2 αι

Q: Consider the unit cell diagram shown here. Choose all the ionic compound formulas that would "work"…

A: Applying concept of counting of atom/ or ions in unit cell. Applying formula= 1/8× no.of atoms at…

Q: Draw an orthorhombic unit cell, and within that cell a [121] direction.

A: Introduction An orthorhombic unit cell is a type of crystal lattice that has three mutually…

Q: BaTiOg has the perovskite structure shown below. The ionic size of Ba2", Ti*, and O2 are 0.161 nm,…

Q: Which of the following structures is based on the cubic close-packing of cations?

A: Out the given compounds, CsCl is based on the cubic close-packing of cations. The Cs+ or Cl- ions…

Q: Please don't provide handwriting solution

A: The objective of the question is to identify the metal based on the given properties and the atomic…

Q: How does the sea-of-electrons model explain the high electrical conducitivity of gold ?

A: Metallic bonding is a type of chemical bonding, the cations in the metal are surrounded by many…

Q: 1. Why is glass not a mineral?

A: Glass is transparent and brittle substance.Note: According to our company guidelines we can answer…

Q: if you can. If there is not enough element 1 2 3 description Element 1 is a hard dark-red solid. A…

A: Given that :We have to identify whether the elements are metal or non-metal from the given…

Q: What is the crystalline structure of Chromium? HCP Cubic BCC FCC

A: Crystalline structure of Chromium:

Q: 23) If potassium has a body centered cubic structure and an atomic radius of 0.280 nm, find the…

A: For any unit cell,volume occupied by the atoms per unit cell or packing fraction can becalculated by…

Q: lattice structure of CsCl is shown below. What

A: We have to tell which option is correct from given choices of options by telling which type of unit…

Q: A hypothetical element, Le, has a body centered cubic structure with a density of 6.93 g/cm3.…

Q: Q4 /I Answer the following (choose three branches): A- Iron was formed at 912 ° C by the effect of…

A: For BCCNumber of atoms per unit cell = 2 Relation between edge length and radius is : r= a34Volume…

Q: Part A An X-ray beam of A= 75.05 pm is incident on the surface of an atomic crystal. The maximum…

Q: he unit cell of a yttrium-barium-copper-oxygen compound is shown below. How many copper atoms are…

A: The given unit cell is made up of barium, Yttrium, copper and oxygen.

Q: Which substance forms a metallic lattice? K C (graphite) I2 MgS

Q: In many metals, the atoms pack together in a face-centered cubic arrangement. How many atoms are…

A: In many metals, atoms are packed in a particular manner. If A is the arrangement of atoms in the…

Q: A hypothetical element, Le, has a body centered cubic structure with a density of 6.12 g/cm3.…

A: Atomic radius of element is calculated by determining edge length of element. Density is the mass…

Question

100%

### Do both unit cells shown below represent the same compound?

#### Unit Cell Diagrams

In the figure below, two unit cell structures are displayed side by side. Each diagram represents a crystallographic unit cell, which is the smallest repeating unit that constitutes the entire crystal structure. The coloring scheme for the atoms in the unit cells is as follows:

- **Titanium:** Represented by grey spheres.
- **Calcium:** Represented by yellow spheres.
- **Oxygen:** Represented by red spheres.

#### Explanation of Each Unit Cell

**1. Left Unit Cell:**
- Composition:
- The corners of the unit cell are occupied by yellow spheres (Calcium).
- Inside the unit cell, red spheres (Oxygen) are placed at the face centers and body-centered positions.
- Grey spheres (Titanium) are located inside the unit cell but not at symmetrical positions.

**2. Right Unit Cell:**
- Composition:
- The corners and the centers of the faces of the unit cell are occupied by red spheres (Oxygen), forming an arrangement of atoms in the cubic structure.
- Grey spheres (Titanium) are positioned at the face centers.
- A single yellow sphere (Calcium) is centered inside the cell.

#### Analysis

To determine whether both unit cells represent the same compound, we need to evaluate the relative positions of Titanium, Calcium, and Oxygen atoms in each structure. The arrangement and connectivity of these atoms must be consistent across both unit cells for them to represent the same compound.

#### Conclusion

Both unit cells illustrate different arrangements of Titanium, Calcium, and Oxygen atoms, which need further examination to conclude if they form the same compound or different compounds. Comparing their atomic ratios, lattice constants, and symmetry will provide additional insights into their crystallographic equivalence.

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

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 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

8. Clausthalite is a mineral composed of lead(II) selenide. The mineral adopts a NaCl octahedral-type structure. If the density of PbSe is 8.27 g/cm³, calculate the radius of the lead(II) ion. (The radius of selenide ion is given below.)
9. The density of Al is 2.7 g/cm³ and that of Al2O; is about 4 g/cm³. Describe the characteristics of the aluminum-oxide film. Compare with the oxide film that forms on tungsten. The density of W is 19.254 g/cm and that of WO; is 7.3 g/cm.
Tantalum is a rare, hard, blue-gray, lustrous transition metal that is highly corrosion-resistant. It has a density of 17.6 grams per cubic centimeter and a molecular weight of 185.23 g/mol. What is the atomic radius of Ta if it adopts the body centered cubic unit structure? Express answer in scientific notation (e.g. 3.47e-23).
Please draw and explain the formula units of the double perovskite structure of Cs2AgInCl6 per unit cell
Q619 Calculate the radius of a copper atom. Copper has a face centered cubic (FCC) crystal structure with a volume density of 8.95 x 106g m-3 and an atomic weight of 63.54 g mol-1 (Given the Avogadro’s, NA = 6.023 x 1023 atoms mol-1
How many of these elements would be able to bond with the silica tetrahedra SiO4 - molecules? Group of answer choices are A = 4 B = 2 c = 1 Match it to the correct element. Na+ (sodium) Mg2 + (magnesium) Fe 2 + (iron) Fe 3 + (iron) Al 3 + (aluminum) Ca 2 + (calcium) K+ (potassium) |
8. For the pattern below indicate a unit cell by drawing a box. I A B A в в в A A в в в I A A
Which substance has the highest melting point? Kr Cl 2 Mg SiO 2 (silica) C 5H 12
part 2 The structure of the unit cell when CaF2 crystallizes is shown below: What is the arrangement of the Ca2+ ions (white spheres)? FCC SC HCP BCC
3) Show the unit cells in the following figures. Indicate whether they are primitive or centered. 111 ব বা ব P P P P PP HE BBB P P P V
Metallic chromium has a body- centered cubic structure (all atoms at the lattice points) and a density of 3 7.20 g/cm³. Assume chromium atoms to be spheres. The spheres in a body- centered array оcсиру 68.0% of the total space. Find the atomic radius of chromium. The volume of a sphere is equal to 4Tr /3. Radius = %3|
What is the difference between tetrahedral and octahedral voids?