Gallium has an orthorhombic structure, with a0 0.45258 nm, b0 0.45186 nm and c0 = 0.76570 nm. The density is 5.904 g/cm3, and the atomic weigh is 69.72 g/mol. Determine: a- The number of atoms in each unit cell; b- The packing factor in the unit cell. %3D %3D %3D

Gallium has an orthorhombic structure, with a0 0.45258 nm, b0 0.45186 nm and c0 = 0.76570 nm. The density is 5.904 g/cm3, and the atomic weigh is 69.72 g/mol. Determine: a- The number of atoms in each unit cell; b- The packing factor in the unit cell. %3D %3D %3D

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom

Section: Chapter Questions

Problem 11.21E

See similar textbooks

Related questions

Q: Atomic packing factor refers to a. the geometric arrangement of the atoms in the cell b. projected…

Q: Metal borides MBx exist for many transition metals. a) What is the minimum radius for the host…

A: a) The radius of an atom in the octahedral void is related to the radius of the atoms forming the…

Q: Elemental silver (107.8682 amu) reflects X-rays of wavelength 154.18 pm at angles of 19.076°,…

A: This is a question from solid state chemistry. We have to use following three formulae to figure out…

Q: It has one compound orthorhombic unit cell (a=588, B=820, and C=796 pm). Find the density more…

A: Density of orthorhombic unit cell given as D= Z ×MN ×1a ×b ×c where D= Density of orthorhombic…

Q: 8. The unit cell of a compound containing strontium, iron, and oxygen is shown here. (a) What type…

A: (a) The given unit cell has the two lattice vectors have same length 3.98 A° and all three lattice…

Q: For the shown crystal structure, write down (a) the Bravais lattice and (b) the basis of the…

A: Given that, For this structure, a=b≠c α=β=γ=90°

Q: Chromium is either a face –centered or a body –centered cubic crystalline solid. Given that it…

A: Introduction: In a solid state, there are various type of unit cell structure like body centre cubic…

Q: What type of two-dimensional lattice describes the structure of a single layer of close-packed…

A: The term "closest packed structures" refers to the most tightly packed or space-efficient…

Q: body-centered unit cell and has an atomic radius of 0.143 nm and atomic weight of 92.91 g/mol.

A: Niobium is also called as Columbium symbol of Niobium is Nb. Niobium atomic number is 41.…

Q: What is the coordination number of an atom in a facecentered unit cell?a) 4 b) 6 c) 8 d) 12

A: Coordination number is number of ligands attached to central metal atom.

Q: Cobalt (Co) has an HCP crystal structure, an atomic radius of 0.1253 nm, and a c/a ratio of 1.623.…

A: As cobalt(Co) has an HCP( Hexagonal Closed Packed ) structure so to evaluate the volume of the unit…

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

A: Step : 1 Calculate the density.

Q: If the density of solid tungsten is 19.3g/cm3, what is the packing efficiency of W if it adopts a…

A: The given information is: Density of solid tungsten = 19.3g/cm3 Type of cell = body-centered Molar…

Q: The structure of aluminum is fcc and its density is r = 2.70 g cm-3 .(a) How many Al atoms belong to…

A: Structure of aluminum is FCC and its density (D) is = 2.70 g/ cm3 We are asked to calculate, (a)…

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: What is a, the unit cell length, in nm, for aluminum? a = i nm

A: We have to find out the edge length "a" for the unit cell of aluminium.,

Q: Q.3: Calculate the atomic packing factor (APF) and coordination number (CN) for the crystal…

Q: Q3: (A) Cobalt has an HCP, an atomic radius of 0.1253nm, and a c/a of 1.623. If atomic weight of Co…

Q: What is the molecular formula of the compound represented by the unit cell below? Xenon Fluorine

A: The smallest repeating unit with full symmetry of crystal structure is known as unit cell.

Q: a tetragonal crystal, unit cell a =4.5Å, c = 6Å. Evaluate the Bragg angle, q, for the (222)…

A: For a tetragonal crystal the unit cell dimension a =4.5 Å and c = 6 Å respectively. The reflection…

Q: An unknown metal is found to have a density of 7.8748 g/cm3 and to crystallize in a body-centered…

Q: 1. Which of the following unit cells do not exist for monoclinic lattices? a) Simple unit cell, b)…

A: 1) c) FCC doesn't exist for the monoclinic lattices. 2) a) [310]

Q: The element osmium has hcp packing with a hexagonal unit cell. The volume of the unit cell is 2.80 x…

A: The Hexagonal closed packing is defined as the two-dimensional closed packing between the unit cells…

Q: What is the minimum number of atoms that could be containedin the unit cell of an element with a…

A: Since in a body centered cubic lattice, we have 1 atom in body centre and 8 atoms, 1 on each corner.…

Q: The element potassium has bcc packing with a body-centered cubic unit cell. The volume of the unit…

A: Body centered cubic cell: In this cubic cell, atoms are arranged in all 8 corners and in the center…

Q: 6. Draw the plane in the unit cell, given the MI of the plane. Indicate the point of origin, O.…

Q: hcp

Q: If the density of solid chromium is 7.15 g/cm, what is the packing efficiency of Cr if it adopts a…

A: Given data:

Q: The structure of the unit cell when CaF, crystallizes is shown below: How many Ca2+ ions are present…

A: In calcium Fluoride , CaF2 fluorite structure, calcium ions occupy all corners and centre of each…

Q: Calculate the density of niobium if it occupies a body-centered cubic unit cell with an atomic…

Q: 5. Draw the plane in the unit cell, given the following Miller Indices of the plane. Indicate the…

A: (3,-1,2) Miller indices has intercepts on (a3, -b, c2). The origin is represented as O.

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

A: atomic fraction factor = 0.547 atomic radius of an atom = 0.177 nm lattice parameters: a= 0479nm ,…

Q: A simple cubic cell contains one metal atom with a metallic radius of 100 pm: a. Determine the…

A: Since you have asked multiple questions, we will solve the first three subparts for you. If you want…

Q: Calcium has an FCC crystal structure, density of 1.55 Mg/m3 , and atomic mass of 40.08 g/mole.…

A: First Calculate a3 D= ZM.W÷a3NA Then for volume V= a3 Radius= r= a÷2√2

Q: hypothetical metal with an atomic radius of 0.171 nm has an orthorhombic unit cell for which the a,…

A: Atomic Radius of metal = 0.171 nm

Q: For the hcp (hexagonal close packed) structure, the c/a ratio (height of the unit cell divided by…

A: Given: the c/a ratio (height of the unit cell divided by its edge length) =1.633. To Calculate: The…

Q: The unit cell of an intermetallic compound consists of a face-centered cube that has an atom of…

A: The unis shell of the face-centered cube has an atom of element X at each corner and an atom of…

Q: The edge length of the unit cell for nickel is o.3524 nm. Suppose Ni crystallized in the simple…

A: Nickel crystallizes in the simple cubic crystal structure ans edge length of the unit cell of nickel…

Q: Below are three different crystallographic planes for a unit cell of a circles represent atoms: k0.4…

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

Q: Make a table for comparison between the interior angles of the seven (7) unit cells and…

A: Comparing all of the unit cells and we see that

Q: An element with density 2.8 g cm-3 forms a fee unit cell with edge length 4 X 10-8 cm. Calculate the…

A: Given data, Density (d) = 2.8 g cm-3 edge length (a) = 4 × 10-8 cm NA = 6.022 × 1023 mol-1 FCC unit…

Q: If the density of solid chromium is 7.15 g/cm37.15 g/cm3, what is the packing efficiency of CrCr if…

A: Given, Density of solid chromium =7.15 gcm3 molar mass of solid chromium = 51.996 gmol

Q: 11. The unit cell of a compound containing strontium, iron, and oxygen is shown here. (a)What type…

A: So let's start wifh the part (a) where we have to find the lattice type of the given unit cell ,Here…

Q: Sketch within a cubic unit cell the following planes: (а) (101) (e) (111) (b) (2Ī1) _M (212)

Q: ) Define a unit cell i) What is the coordination number of Na in a NaCl crystal lattice? iD Urinn R

A: There are mainly three states of matter-solid, gas, and liquid. In a solid-state, atoms are arranged…

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: Which of the three-dimensional primitive lattices hasa unit cell where none of the internal angles…

A: Please find below the angles and sides of different types of primitive lattices

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

Crystal
aSIs on
very lattice point.
Crystal Structure Lattice + Basis
9- Gallium has an orthorhombic structure, with a0 0.45258 nm, b0 0.45186 nm,
and co =0.76570 nm. The density is 5.904 g/cm3, and the atomic weigh is 69.72
g/mol. Determine:
a- The number of atoms in each unit cell;
b- The packing factor in the unit cell.

Font
Paragraph
FStyles
Voice
4.
10-Calculate the number of vacancies per m3 for gold at 900 C. the energy for vacancy
formation is 0.86 eV/atom.
I

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

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 6 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

If a Schottky defect concentration of 6.2 x 1010 /cm3 is observed in Al2O3, what is the total vacancy concentration (in 1/cm3) present in this sample of Al2O3? a. 2.3 x 108b. 3.1 x 1010c. 6.2 x 1010d. 1.24 x 1011e. 3.1 x 1011 When compared to that of a covalent material, the short-range atomic structure of amaterial assembled using ionic bonding can be characterized as having a:a) higher coordination numberb) lower atomic packing factorc) higher atomic packing factord) lower coordinationnumbere) a and c only
What electron energy is required to obtain the diffractionpattern for a surface with crystal spacing of 4.0 Å?
Calculate the number of Frenkel defects per cubic meter in potassium chloride at 500°C. The energy required to form each Frenkel defect is 2.6 eV, whereas the density for KCl is 1.955 g/cm3.
Calculate atomic density for (100) planes in BCC iron, a = 0.287 nm. By what percentage is this density more or less from the atomic density in (100) planes? Calculate atomic density for [100] directions in FCC copper, a = 0.361 nm. By what percentage is this density more or less from the atomic density in [110] directions?
What is the trend for atom size from left to right across aperiod?
Describe the lowest excited state of an insulating solid and brieflycomment on its relevance to quantum dots
Determine the Planar Density of (2 0 1),FCC (radius = 0.175 nm)
In a vacuum chamber filled with argon gas at 100mTorr, a plasma is ignited resulting to 1% ionization. This is already a "hot plasma" by lab processing standards. Calculate the number density of plasma electrons (should be about the same as the argon ion density due to quasineutrality) in this 1% ionized plasma.
State the Miller indices of the planes that intersect the crystallographic axes at the distances (2a, 3b, 2c) and (2a, 2b, ∞c).
In a vacuum chamber filled with argon gas at 100 mTorr, a plasma is ignited resulting to 1% ionization. This is already a "hot plasma" by lab processing standards. Calculate the number density of plasma electrons (should be about the same as the argon ion density due to quasineutrality) in this 1% ionized plasma.
The number of vacancies in some hypothetical metal increases by a factor of 5 when the temperature is increased from 1060 K to 1160 K. Calculate the energy (in kJ/mol) for vacancy formation assuming that the density of the metal remains the same over this temperature range.
Energy bands are considered continuous due to the largenumber of closely spaced energy levels. The range of energylevels in a crystal of copper is approximately 1 x 10–19 J.Assuming equal spacing between levels, the spacing betweenenergy levels may be approximated by dividing therange of energies by the number of atoms in the crystal.(a) How many copper atoms are in a piece of copper metalin the shape of a cube with edge length 0.5 mm? The densityof copper is 8.96 g/cm3. (b) Determine the averagespacing in J between energy levels in the copper metal inpart (a). (c) Is this spacing larger, substantially smaller, orabout the same as the 1 x 10–18 J separation between energylevels in a hydrogen atom?