A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm°, and an atomic weight of 48.9 g/mol. Please calculate the atomic radius of this metal. Some useful equations are provided below.

A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm°, and an atomic weight of 48.9 g/mol. Please calculate the atomic radius of this metal. Some useful equations are provided below.

Understanding Motor Controls

4th Edition

ISBN:9781337798686

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter44: Semiconductors

Section: Chapter Questions

Problem 4RQ

See similar textbooks

Related questions

Q: For tetragonal crystals, cite the indices of directions that are equivalent to each of the following…

A: Answer: [0 0 -1]

Q: 10. Lithium crystallizes in a bcc structure with an edge length of 3.509 Å. Calculate its density.…

Q: A hypothetical metal has the SC crystal structure, a density of 7.08 g/cm3, and an atomic weight of…

Q: 8. In an ideal hexagonal closed packed system, if the atomic radius of the atom was 0.254 nm, write…

A: Given data, The given lattice is hexagonal closed packed(HCP). r = Radius of the atom = 0.254 nm To…

Q: A) Lithium crystallizes in the body-center cubic structure with an edge length of 350.9 pm.…

Q: Calculate the radii of the largest void found in an FCC iron lattice in units of [pm] with a lattice…

A: Given: The edge length , a = 0.357 nm The radius of atom, r = 0.124 nm There are two types of void…

Q: 3 3 the density of palladium is 11.98 g/cm, lattice parameter is 0.3890 nm and atomic mass is 106.4…

Q: What are the types of 0-D lattice imperfections found in crystals? Which defect will contribute to…

Q: Calculate the gravitational constant g, in SI units, for alocation on the surface of the sun.

Q: 9- Gallium has an orthorhombic structure, with a0 = 0.45258 nm, b0 0.45186 nm, and c0 0.76570 nm.…

A: As per bartleby policy I am answering first question full.

Q: (b) Find planar atomic densities by considering the section of a (110) plane within a unit cell for:…

A: For solution refer below images.

Q: Tungsten (w) has a BCC structure with an atomic radius of 0.1371 nm. If the atomic weight of…

A: Given Data: Atomic radius, r=0.1371 nm Atomic weight, M=183.8 g/mol

Q: Calculate the number of vacancies per cubic meter for some metal, M, at 850°C. The energy for…

A: We have to find Calculate the number of vacancies per cubic meter

Q: Sketch an fcc lattice unit cell (lattice constant = 5 Å) with a monoatomic basis, and calculate the…

A: There are 8 corner atoms and 6 face-cent atoms in FCCAtoms in the diagonal of the face are in…

Q: Iodine has an orthorhombic unit cell for which the a, b, and c lattice parameters are 0.479, 0.725,…

Q: Calculate the atomic radius in cm for the following= BCC metal with a. 0.85634 nm

Q: Aluminum forms an FCC structure and has an atomic radius of 0.143 nm. Calculate the theoretical…

A: Answer: The theoretical density of aluminum metal in the unit cell is 2.71 g/cm3.

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: Tin atoms are introduced into an FCC copper crystal, producing an alloy with a lattice parameter of…

Q: A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm3, and an atomic weight of…

Q: Calculate the Atomic Packing Factor (APF) for the diamond crystal structure?

Q: metal is found to have BCC structure, a lattice constant of 3.31 Å, and a density of 16.6 g/cm3 .…

A: Density=Z×Atomic weight of metalNA×Volume of unit cell For BCC Z=2n NA=Avagadros Number Volume =a3…

Q: Homework QI: Tantalum has an atomic weight of 180 g/mol and density of 16.6 g/cm'. It has a BCC…

A: Atomic weight of tantalum =180g/mol density of tantalum=16.6g/cm3 Atomic radius of tantalum=r BCC…

Q: 39 Calculate the radius of a palladium (Pd) atom, • given that Pu has an FCC crystal structure, a…

A: NOTE: As per guidelines I can solve one question. So I solve question 3.9 here. Given: The density…

Q: A metal has an atomic radius of 0.1385 nm . The volume of its cubic unit cell is 6.0115 x10-23 cm³,…

Q: Gallium has an orthorhombic structure, with a0 5 0.45258 nm, b0 5 0.45186 nm, and c0 5 0.76570 nm.…

Q: 3. the iron has crystal lattice type (BCC) at (910°c) degrees Celsius and becomes (FCC) above this…

A: We know that the packing efficiency of BCC structure is 68%,that means the space occupied by the…

Q: Q2) calculate the metal density for a metal which has a crystal structure type of BCC, if the energy…

A: BCC stands for Body centered cubic. This structure of any body contains one atom at the center and…

Q: Estimate the number of atoms that exist in a cubic centimeter of a solid material. This process will…

A: Given, Density = ρ = 6.11 g/cm3Molar mass = M = 50.942 g/molVolume = V = 1 cm3 We will first find…

Q: B) Copper has an atomic radius of (0.128 nm), an FCC crystal structure, and an atomic weight of 63.5…

Q: a. Nickel has an FCC structure. Given that the atomic radius of Ni is C calculate the number of…

Q: (c) The unit cell for Al;Os has hexagonal symmetry with lattice parameters a -0.4759 nm and c- 1.29…

A: Solution:

Q: Compare the (100) and the (200) FCC crystallographic planes. Are they the same? Compare the (111)…

A: GivenPlanes 1,0,0 (2,0,0)planes (1,1,1) (2,2,2)

Q: What is "Tin Disease"? The crystal Structure of Zinc (Zn) is Hexagonal Closed Packed (HCP). Show…

A: Explanation: Tin disease is the process of allotropic transformation of tin from white tin to gray…

Q: Copper has an atomic radius of 0.128 nm, an FCC crystal structure, and an atomic weight of 63.5…

Q: Molybdenum, a BCC metal has an atomic radius of 0.136 nm. (a) Calculate the d-spacing for the (211)…

Q: (c) The unit cell for Al;03 has hexagonal symmetry with lattice parameters a - 0.4759 nm and c 1.29…

A: Solution:

Q: a) For a material having BCC crystal cell structure, write the expressions for Linear atomic density…

A: Linear atomic density for the (1,0,0) direction is calculated as follows: Number of atom is 1.…

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

Q: Calculate the planar atomic density of (110) for diamond structure.

Q: ES) Calculate the linear density of atoms along then[111] direction in (a) BCC iron-atomic radii is…

Q: a) What is atomic packing factor? What is the effect of the atomic packing factor on material's…

A: Metals make up about 23rd of all the elements present in the world. Metals find numerous…

Q: (a) At the atomic level, how deformation process occurs/proceeds? (b) If we have the same…

A: In elastic deformation, bonds between atoms are stretched or deformed and when the stretching…

Q: Fe has a BCC structure and an atomic radius of 0.126 nm. The atomic mass of Fe is 55.85 g/mol &…

A: The effective numbers of atoms in BCC unit cell is The mass of 1 mole of Fe atoms is The mass of 1…

Q: Calculate the atomic radius in cm for the following ; (a) BCC metal with a=0.3924 nm (b) FCC metal…

Q: Calculate the radius of a palladium (Pd) atom, given that Pd has an FCC crystal structure, a density…

A: Given data: Density of palladium, ρ = 12.0 g/cm3. Atomic weight, A = 106.4 g/mol. The number of…

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

A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm, and an atomic weight of 48.9
g/mol. Please calculate the atomic radius of this metal. Some useful equations are provided below.
a= 2R/2
a = 2R3
!!
nA
VNA
O 0.122 nm
O 0.567 nm
0.745 nm
1.23 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

Step 1: Given data

VIEW

Step 2: Solution

VIEW

Trending now

This is a popular solution!

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

1. Titanium has an atomic radius of 147 pm, an atomic weight of 47.867 g/mol, and an HCP crystal structure. Compute for its true density.
Indium has a tetragonal structure, witha0 5 0.32517 nm and c0 5 0.49459 nm.The density is 7.286 g/cm3, and the atomicweight is 114.82 g/mol. Does indium havethe simple tetragonal or body-centeredtetragonal structure?
A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm3, and an atomic weight of 48.9 g/mol. The atomic radius of this metal is
What is the atomic radius of nickel (in A) if it follows an FCC crystal structure, given that Nickel has a density of 8.9 g/mL and an atomic weight of 58.7 g/mol. Solution please. Thankyou
Copper has an atomic radius of 0.128 nm, an FCC crystal structure, and an atomic weight of 63.5 (a.m.u). Compute its theoretical density. Also , compute the theoretical density if the crystal structure is BCC.
Prof that the relation between atomic radius and lattice constant for FCC is a- 4r/V3 ? Question #3/ The atomic weight 207.2 (g/mol), crystal structure FCC, and atomic radius 0.175 nm, compute the theoretical densities of lead
3. Beryllium (Be) is an HCP structure with a=0.22858 nm and c=0.35842 nm. The atomic radius is 0.1143 nm, the density is 1.848 g/cm3, and the atomic mass is 9.01 g/mol. In this case, find (a) the number of atoms in the single crystal and (b) the atomic filling rate of the unit crystal.
A metal crystallizes in the face‑centered cubic (FCC) lattice. The density of the metal is 12020 kg/m3, and the length of a unit cell edge, ?, is 389.08 pm. Calculate the mass of one metal atom.
A hypothetical metal has the SC crystal structure, a density of 7.08 g/cm3, and an atomic weight of 51.63 g/mol. The atomic radius of this metal in nanometer is
question j620 Find the Miller indices of each crystallographic plane
A paper clip has a mass of 10.75 grams and is made of gold. (FCC, R = 0.1442 nm), calculate: a) The number of unit cells in the sample volume. b) The number of atoms contained in the volume of the sample.
Calculate the number of vacancies per cubic meter for some metal, M, at 811°C. The energy for vacancy formation is 0.89 eV/atom, while the density and atomic weight for this metal are 6.96 g/cm3 (at 811°C) and 55.72 g/mol, respectively.