Q1.) Consider the unit cell of Mg as shown below : Beskou die Mg eenheidsel hieronderMgHCP structureHDG struktuurAtomic radius0.160nmAtoom radiusAtomic weightAtoommassac/a ratio /verhouding24.31g/mol1.624НСРa) Calculate the lattice parameter of this unit cell; Bereken die roosterafmeting van dieeenheidsel

Answered: Image /qna-images/answer/f79f5ae3-52fa-4284-87ea-0e96181e4d74.jpg

Answered: a) Calculate the lattice parameter of…

Engineering

Mechanical Engineering

a) Calculate the lattice parameter of this unit cell; Bereken die roosterafmeting van die eenheidsel

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.71P: 1.71 The thermal conductivity of silver at 212°F is 238 Btu/h ft °F. What is the conductivity in SI...

See similar textbooks

Related questions

Q: 9. For a two dimensional lattice with, a1= a az= a/2 (a) what is the area of a primitive cell? (b)…

Q: Q : (i) Prove that the atomic packing factor (APF) for the BCC crystal structure is 0.68. (ii) Prove…

Q: What are all the planes in {101} family of an orthorhombic lattice?

A: Solution:

Q: The unit of the atomic packing factor APF is: Select one: a. m3 b. Unit less

A: APF is the ratio of effective no of atom's volume to the unit cell volume.

Q: a) Problem 2: Calculate the number of atoms per unit cell for an fec lattice of copper (Cu) crystal.…

Q: 1) Explain the Fáčé-Céntéřéd Cübić unit cell with a neat diagram and provide a minimum of two…

A: An FCC unit cell contains particles at all the corners of the crystal cross section and at the…

Q: briefly explain how with the help of x-ray diffraction techniques, the lattice dimensions are…

A: The wavelength of X-ray is very small, they are of the order of the atomic spacing, and because of…

Q: Determine the Miller indices of plane as shown in the figure below

A: A moment is a movement of the body when a body is rotating on an axis. The moment is also known as…

Q: Calculate the number of atoms in a 1.9-micron-diameter by 7.3-micron-deep cylinder in a hypothetical…

Q: Q1/ a) Problem 2: Calculate the number of atoms per unit cell for an fec lttice of copper (Cu)…

Q: Explain why there is no face-centered tetragonal Bravais lattice.

A: FACE CENTERED CELL In complete unit cells, there are also atoms or ions in the middle of all six…

Q: A metal having a cubic structure has a density of 2.6 g/cm3, an atomicweight of 87.62 g/mol, and a…

A: The crystal structure is a description of the orderly organization of atoms, ions, or molecules in a…

Q: Prof that the relation between atomic radius and lattice constant for FCC is a- 4r/V3 ? Question #3/…

Q: What are the Miller indices for the plane shown in the following unit cell?

Q: 1 Lithium at 20°C is BCC and has a lattice constant of 0.35092 nm. Calculate a value for the atomic…

Q: state the no. of atom on a plane having miller indices of 110 in a Bcc unit cell

A: Miller indices: For specifying the directions and planes in lattices or crystals, miller indices are…

Q: Scandium (Sc) has the FCC crystal structure. The atomic radius is R = 0.16 nm %3D and the atomic…

A: Given: Atomic radius of Nickel is, R=0.16 nm=1.6×10-8 cm Atomic weight of Nickel is, W=44.96 g/mol…

Q: Molybdenum has a BCC crystal structure, an atomic radius of 0.1363 nm, and an atomic weight of 95.94…

Q: What are the three types of lattice structures?

A: The three types of lattice structure are BCC, FCC, HCP

Q: Rhodium has an atomic radius of 0.1345 nm and a density of 12.41 glcm:. Determine whether it has an…

Q: Determine the Miller Index of plane of the given plane in an HCP crystal? (1070) → (10 – 10 ) ►…

A: find the miller index of green plane For Given HCP cystal

Q: Calculate BC, FC and FE Rod forces in the lattice system?

Q: Determine the Miller indices for the planes shown in the following unit cell:

A: Please upvote and rate positive Thanks in advance Please thumbs up. Procedure to find miller…

Q: Problem 4. Calculate a value for the density of FCC platinum in grams per cubic centimeter from its…

A: solved

Q: Obtain the Miller indices of a plane which intercepts at a, b/2, 3c in a simple Cubic…

Q: Answer the following question with drawing the atom configurations of the plane or direction. What…

A: Solution:

Q: Q 7(a): Derive planar density expressions for FCC (100) and (111) planes in terms of the atomic…

Q: 3. Real crystal structures: Consider the hcp lattice shown in Figur lattice underlying the hcp…

Q: The density of a sample of HCP beryllium is 1.844 g/cm 3 , and the lattice parameters are a 0 =…

Q: The twin boundaries of FCC and BCC structures are. and respectively. *

A: Annealing twins, most prevalent in Face Centered Cubic (FCC) metals e.g. aluminum, copper, brass…

Q: When examining the atomic layers used to construct the models (i.e., select the HCP and FCC bodies…

A: To find: The more densely packed bodies among HCP or FCC. Explanation: FCC ( Face centered cubic…

Q: 2. Determine the Miller indices for the following planes.

A: Miller indices are the group of numbers that represents the different plane orientations.

Q: n real lattice and recipro-

A: introduction: here we have to distinguish between real lattice and reciprocal lattice

Q: Consider a unit cell with lattice dimensions a, b, and c in the x-, y and z directions. Which of the…

Q: +z 1/2 1/2 A B

Q: In an ideal hexagonal closed packed system, if the atomic radius of the atom was 0.112 nm, write…

Q: 4. Calculate the binding energy per nucleon for H and H. The atomic masses are 2.01410 amu and…

Q: Calculate the density in g / cm3 of a metal with a structure fcc molecular mass of 100g / mol and an…

A: Given Data⇒ FCC structure Molecular mass(m)=100gmol Atomic radius(a)=0.145 nm Atomic…

Q: Calculate the number of vacancies per m 3 for gold at 900 C. The energy for vacancy formation is…

Q: (a) Prove that the reciprocal lattice vector G = hA + kB+(C is perpendicular to the plane (hkl) in…

A: Reciprocal lattice vector g→=hA→+kB→+lC→ a plane (hkl) intercepts with a1→,a2→ and a3→ axis at…

Q: Rough sketch of crystal planes

A: Draw the intercept of the plane as shown below.

Q: Consider a unit cell with lattice dimensions a, b, and c in the x-, y and z directions. Which of the…

A: Take reciprocals of given intercepts. If any fractions are present clear the fractions Then we get…

Q: Nickel has face -centered (FCC) cubic structure and atomic mass is 58.69. The atomic radius of…

Q: uestion Six: For an FCC crystal: calculate the density of atoms (atoms/a where a is the lattice…

A: here the radius of the atom is given a For the FCC crystal structure, the planar density for the…

Q: Consider two hypothetical metallic crystal structures A and B. A has a simple cubic and B a fcc…

A: Given: Atomic packing factor For A = 0.52 (simple cubic structure) For B = 0.74 (FCC structure)

Q: 3. BCC Li has a lattice parameter, ao, of 0.35089 nm and contains 1 vacancy per 300 unit cells at…

Q: IS R U.144 hm änd the atomic mass is M = 107.87g What is the density of Silver in g/m2? Given:

A: Ans-a.

Concept explainers

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.

Question

Q1.) Consider the unit cell of Mg as shown below : Beskou die Mg eenheidsel hieronder
Mg
HCP structure
HDG struktuur
Atomic radius
0.160nm
Atoom radius
Atomic weight
Atoommassa
c/a ratio /
verhouding
24.31g/mol
1.624
НСР
a) Calculate the lattice parameter of this unit cell; Bereken die roosterafmeting van die
eenheidsel

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Given data

VIEW

Calculating lattice parameters

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Principal Metallic Crystal Structures and Crystal Structure Analysis

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The attached photo shows the Young’s modulus of a cubic single crystal as a function of orientation. where a1 a2 and a3 are the direction cosines between the direction hkl and [100], [010], and [001], respectively. For a certain crystal, E111 = 500 GPa and E100 = 90 GPa. Calculate Young’s modulus for this single crystal in the <110> direction
One way to manufacture transistors, which amplify electricalsignals, is to diffuse impurity atoms into a semiconductormaterial such as silicon. Suppose a silicon wafer 0.1 cm thick,which originally contains 1 phosphorous (P) atoms for every 10million Si atoms, is treated so that there are 400 P atoms forevery 10 million Si atoms at the surface. Calculated theconcentration gradient (a) in atomic percent/cm and (b) inatoms/cm 3 ·cm. The lattice parameter of silicon is 5.4307 Å.Hint: Silicon isin a diamond cubicStructure with8 atoms/cell.
You are given a sample of polypropylene and wish to find out the volume % crystallinity. You know that the density of 100% crystalline polypropylene (ρc) is 0.946 g/cm3, and the density of 100% amorphous polypropylene (ρa) is 0.855 g/cm3. Through your careful measurements, you determine the density of the sample (ρs) is 0.93 g/cm3. Use the following equation to determine the volume % crystallinity (ν) of your sample. Enter your answer with 1 decimal place. Answer is 82.4 Another sample of polypropylene has a 68 volume percent crystallinity. What is the density of the sample? Enter your answer is g/cm3. ( I need help with this second question. The answer is .917, i just can't get to that.) Hint: use the values and equation from the previous problem.
You are given a sample of polypropylene and wish to find out the volume % crystallinity. You know that the density of 100% crystalline polypropylene (ρc) is 0.946 g/cm3, and the density of 100% amorphous polypropylene (ρa) is 0.855 g/cm3. Through your careful measurements, you determine the density of the sample (ρs) is 0.93 g/cm3. Use the following equation to determine the volume % crystallinity (ν) of your sample. Enter your answer with 1 decimal place. Another sample of polypropylene has a 68 volume percent crystallinity. What is the density of the sample? Enter your answer is g/cm3. I can answer the first part of the question. I just don't know how to do the second question?
Calculate the number of vacancies per cubic meter in iron at 880 °C. The energy for vacancy formation is 1.08 eV/atom. The density and atomic weight for Fe are 7.65 g/cm3 and 55.85 g/mol, respectively. Express your result in exponential form with 1 decimal place.
5/. is an example for amorphous structure. a. Glass b. Magnesium c. Iron d. Stainless steel
Lead has FCC crystal structure. If the atomic weight of Pb is 207.2 g/mol and density of 11.36 g/cm^3, solve for the atomic radius of Pb. (Provide complete solution and the final answer in pm unit and tenths decimal place.)
A polypropylene specimen has a mass of 28 kg and density of 1.65x103 kgm-3.Determine the crystallinity by weight of the specimen.Use the following information,Density of the crystalline phase = 1.77x103 kgm-3Density of the amorphous phase = 1.43x103 kgm-3
Ba (AW = 137.327 g/cm3) FCC Atomic radius = 0.115 nm Qv = 1.23ev/atom T = 1230 OC Determine: a) Number of lattice sites, N (atoms/m3) b) Number of vacancies, Nv (atoms/m3)
Calculate the linear density of an FCC along (1 1 0) and the theoretical density. 1. Aluminum 2. Calcium 3. Gold
1. Calculate the density of a high-leaded brass with a composition of 64.5 wt% Cu, 33.5 wt% Zn, and 2 wt% Pb. Cu, Zn, and Pb have densities of 8.96 m, 7.133 g cm-3, and 11.29 g cm-3, respectively, at ambient temperature.
1. The pipe size of a pneumatic conveyer to convey plastic pellets with bulk density of 30 lb/ft2 using a blower with a capacity of 600 ft2 is approximately inches. A. 2 B. 6 C. 4 D. 8 2. A solution of 28% Na2SO4 is to be crystallized to yield Glauber salt (amount of crystalline crop (C) produced in lb/hr A. 285.3 B. 214.65 C. 249.3 D. 255.65