Below are three different crystallographic planes for a unit cell of a hypothetical metal. Thecircles represent atoms:k0.4 nm>|k0.4 nm>(001)(100)(110)1. Reconstruct a 3D units cell from the planes given indicating dimensions andatom/plane positions2. To what prystał system does the unit cell belong?3. What would the resulting Erystal structure be called?4. What would the atomic packing factor be as a function of Rkuu t'0>0.55 nm0.55 nm-

In crystallography, crystal structure is the ordered arrangement of atoms in a crystalline solid.…

Answered: Below are three different…

Below are three different crystallographic planes for a unit cell of a circles represent atoms: k0.4 nm> k0.4 nm> (001) (100) (110) k0.4 nm> 0.55 nm- k-0.55 nm-

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: The band gap for the elemental semiconductor silicon is 1.11 eV. That energy corresponds to what…

A: The band gap energy can be defined as the minimum amount of energy needed by an electron to break…

Q: A compound orthorhombic cell has cell (a = 588, b = 820 and c = 796 pm). Find the density more…

A: This question deals with the density of an orthorhombic cell. The density of a unit cell is the…

Q: c) Calculate the theoretical density of the Zno. Hint: calculate the volume of unit cell from…

A: The structure formed by ZnO is FCC structure.

Q: Q2 // The following figure shows the unit cell of a virtual metal a- To which system does this unit…

A: The simplest repeating unit in a crystal is called a unit cell. Each unit cell is defined in terms…

Q: Estimate the length of the unit cell edge, a, from the atomic radius of Aluminum (1.43 Á). ΑΣφ cm…

A: The relation between edge length (a) and atomic radius (r) : r = (√2 a) ÷ 4

Q: Explain when is the material is homogeneous and isotropic?

A: Homogeneous material: Homogeneous is something that is uniform throughout. A homogeneous material…

Q: For MgO, which has the NaCl structure, the unit cell edge is 4.21 Å. Use the approach of Pauling to…

A: MgO and NaCl are the solid crystals and these crystals are studied in the solid-state chemistry.…

Q: The following unit cell volumes and densities have been measured for the given compounds. Calculate…

A: Given:Calculate the Z value.In crystallography, the Z value refers to the number of molecules (or…

Q: - The height of a unit cell is 7.935 Å. Find: A) how many atoms are there in a unit cell? B) volume…

Q: The band gap for the elemental semiconductor silicon is 1.11 eV. That energy corresponds to what…

Q: When cadmium oxide reacts to form cadmium selenide, a change in unit cell occurs, as depicted below:

A: solid state in Chemistry is the study of the structure, properties and the synthesis of solid…

Q: In the provided unknown unit cell structure: atom (X) spheres occupy the octahedral holes. (1) How…

Q: Name of Hypothetical Crystal Crystal Structure Radius, r, in Volume, V, in cm Length of one side of…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: A hypothetical tetrahedral crystal has the following lattice parameters: a = b = 0.40 nm, c = 0.5…

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

Q: tassium chloride adopts the rock salt-type (NaCl-type) structure with a face-centred cubic unit cell…

A: An face centred unit cell contains atoms at all the corners of crystal lattice and also at the…

Q: d. (131)

Q: Determine the empirical formula given the unit cell (the image will also be posted at General). You…

A: The empirical formula of the given unit cell depends on the type of number of atoms present in the…

Q: Draw a triclinic unit cell and mark on it the (100), (010), (001), (011), (101), and (110) planes.

Q: 4- The unit cell of 52Cr²4 metal is BCC, if the density of Cr= 7.19 Mg/m³; determine the lattice…

A: Here we have to use the formula to calculate the density of unit cell, through which we can…

Q: The coordinates, in units of a, of the atoms in a cubic P unit cell are (0,0,0), (0,1,0), (0,0,1),…

A: Given: Coordinates: (0,0,0), (0,1,0), (0,0,1), (0,1,1), (1,0,0), (1,1,0), (1,0,1), and (1,1,1)

Q: 13. Draw the Bragg planes that produce the F402 structure factors for a crystal with the following…

A: When the atoms of same or different types are arranged in a regular pattern in a 3-D region, it is…

Q: In their book X-rays and crystal structures (which begins ‘It is now two years since Dr. Laue…

A: Bragg's equation gives a selection rule for the allowed and forbidden reflection from a crystal…

Q: 2-If the atomic packing factor and atomic radius are 0.547 and 0.177 nm, respectively, determine the…

Q: find [H3O+] in M ph=2.00

A: Given, The pH of the solution is 2.00 The [H3O+] is:

Q: 2.4 The unit cell for Platinum (Pt) has atoms which are located at each of the corners and at the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: how do you calculate the planar density (100) and (110) of a simple cubic structure

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

Q: l crystallizes in a body–centered lattice with the unit cell measuring 4.58 A°…

A: The body-centered lattice has atoms present at each corner of cube and one atom at centre of…

Q: The density of copper metal is 8.95 g cm-3. If the radius of copper atom is 127.8 pm, is the copper…

A: The density is the ratio of mass and volume. Density (d) of the unit cell is given by using the…

Q: Deslattes et al. found the following values for a single crystal of very pure silicon at 25 °C: p =…

A: given, density (ρ) = 2.328992 gcm-3 edge length (a) = 543.1066 pm = 543.1066×10-10 cm atomic mass…

Q: 1. Calculate the density of Be, atomic weight of Be is 9.0 amu, atomic packing factor of unit cell…

A: Answer:Unit cell is the smallest unit of a crystalline solid whose consistent repetition forms the…

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

Below are three different crystallographic planes for a unit cell of a hypothetical metal. The
circles represent atoms:
k0.4 nm>|
k0.4 nm>
(001)
(100)
(110)
1. Reconstruct a 3D units cell from the planes given indicating dimensions and
atom/plane positions
2. To what prystał system does the unit cell belong?
3. What would the resulting Erystal structure be called?
4. What would the atomic packing factor be as a function of R
kuu t'0>
0.55 nm
0.55 nm-

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

Introduction

VIEW

Explanation

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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

K12Si17 crystal includes some substitutional phosphorus impurities (Si replaced with P). The defect concentration is 2.5 * 1019 phosphorus atoms per cm3. How many excess electrons per unit cell does this defect concentration correspond to?
(a) Fig. Q3 (a) shows a unit cell of a hypothetical metal. Determine the crystal system of this unit cell. 90° 0.45 nm +y 90 90° 0.35 nm 0.35 nm Fig. Q3 (a)
9. Calculate the saturation magnetization for that each cubic unit cell contains 8 Fe2+ and 16 and 16 Fe³+ ions and the unit given cell edge length is 0.839 mm
Determine the crystallographic directions of vectors B, C, and D shown in the following cubic unit cell: 2|3 Direction B: Direction C: 2/3 Direction D: 2/3 B +2 D A 12121212121 -1/12 C Example: Direction A = [-4 3 0] (use this notation: square brackets, spaces between indices, and a minus sign for a negative index) 113 7
A reflection from the {111} planes of a cubic crystal was observed at θ = 11.2° when X-rays of wavelength 154 pm were used. What is the length of the side of the unit cell?
2- Sketch the following planes and directions within a cubic unit cell: а. [101] b. (011)
BCC vanadium has 1.999 atom per cell , the lattice cell parameter 0.3030 nm , the number 3 3 = (of vacancy per cm (vacancy /cm 19 3 a) 4.595 x 10 vacancy /cm 19 b) 3.595 x 10 vacancy /cm 18 c) 3.595 x 10 vacancy /cm 20 3 d) 3.595 x 10 vacancy /cm
Complete the table below. Name of Hypothetical Crystal Volume, V, in cm3 Length of one side of the cell, Crystal Radius, r, in Structure cm I, in cm (2) (4) (6) ZORRO FCC 0.9813 (1) LUFFY ВСС (3) (5) 65.3111 SANJI SC 12.7890 (7) (9) (8) (10) NAMI FCC 5.0000 ROBIN ВСС 49.7965
c) The figure below shows a NaCl unit cell. When x-rays of wavelength 0.1541 nm was allowed to pass through a NaCl crystal, reinforcement of the x-rays first occurred when the angle between the direction of the rays and the crystal face is 14.140 Pege 2 of 7 CTRRPINWCTA0715/P2MOCK 2021
Rhenium has a Hexagonal Close-Packed crystal structure with an atomic radius of 0.137 nm and a ratio c/a of 1.615, compute: a) The volume of the unit cell. b) The theoretical density c) Atomic packing factor Note: Avogadro's' number = 6.023×10²s Atomic weight = 186.21 g/mol
q618 Sketch the following crystallographic directions in unit cells.i)[1 -1 1]ii)[1 -2 1]iii)[-3 2 1]