Equations 7.1a and 7.1b, expressions for Burgers vectors for FCC and BCC crystal structures, are of the formb = uvw)where a is the unit cell edge length. Also, since the magnitudes of these Burgers vectors may be determined from the followingequation:1/2+ v? + w²)"determine values of |b| for aluminum and chromium. You may want to consult Table 3.1.Part 1Incorrect. Review Section 3.4 and Example Problem 3.1. It may help you to review your homework from Chapter 3.Review the relationships between the unit cell length and the atomic radius.lf you are having difficulty with thisproblem, you may wish to review: Solving Equations, Equations, Symbols and Units, Review of 2D and 3D Geometry.What is a, the unit cell length, in nm, for aluminum?a =inm MetalCrystal Structure ª Atomic Radiusº (nm) MetalCrystal Structure Atomic Radius (nm)Aluminum FCC0.1431Molybdenum BCC0.1363Cadmium HCP0.1490NickelFCC0.1246Chromium BCC0.1249PlatinumFCC0.1387CobaltНСРО.1253SilverFCC0.1445СopperFCC0.1278TantalumВСС0.1430GoldFCC0.1442Titanium (a) HCP0.1445Iron (a)ВСС0.1241TungstenВСС0.1371LeadFCCО.1750ZincНСР0.1332

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

Answered: What is a, the unit cell length, in nm,…

Science

Chemistry

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

Physical Chemistry

2nd Edition

ISBN:9781133958437

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

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

Chapter21: The Solid State: Crystals

Section: Chapter Questions

Problem 21.59E

See similar textbooks

Related questions

Q: Gaseous butane (CH (CH,) CH, reacts with gaseous oxygen gas (0,) to produce gaseous carbon dioxide (...

A: To find theoretical yield, first write balanced reaction with O2. Then balance that reaction and fin...

Q: Problem 5. Label the acid and base in the following reaction. Show the mechanism of deprotonation re...

Q: What is the complete chemical equation of the oxidation of ethanol with Potassium permanganate?

A: Here we have to write balanced chemical reaction of CH3CH2OH (ethanol) and KMnO4(potassium permangan...

Q: if 1 pint of blood weigh 1lb , calculate 900ml of blood .

A: Given: Mass of 1 pint of blood = 1 lb. And volume of blood = 900 mL.

Q: Here I have numbèred the atoms in the imidazole ring for you. Notice that the N at position #4 at th...

A: Considering imidazole ring, N at #4 has a lone pair inside the ring and it doesnot participate in H-...

Q: What is the molar solubility of Ag2SO4 in a solution that is 0.0522 M H2SO4? Ksp= 1.40x10^-5

Q: When LiCl dissolves in water, aqueous Li+ and Cl- ions result. The force of attraction that exist be...

Q: 7. Calculate the heat needed at 0°C to make each of the following changes of state. Indicate whether...

A: Given: Initial temperature is 0.0 oC

Q: 7.596×10-4 mol of CF4(g) (tetrafluoromethane gas) is generated into a 131.0 mL headspace, at 25.0 °C...

A: Answer: This question can be solved using ideal gas equation which is the extended form of boyle's l...

Q: In the synthesis of sulfanilamide, an intermediate reaction using 5 g of acetanilide (MW:135.2, dens...

Q: An acid (HA) dissociates as follows: НА - H* + A minus Arrow should be interpreted as an equilibrium...

Q: 3. Think about conductivity, freezing point, and boiling point of each of the following combinations...

A: A question based on introduction to chemistry that is to be accomplished.

Q: based on the octet rule, oxygen most likely forms a ___ ion.

Q: If a 1.065 g sample of magnesium oxide of 84.736% were treated with 50 mL of 1.017 N sulfuric acid, ...

A: Given: MgO is being titrated using sulfuric acid. Normality of titrant i.e. H2SO4 = 1.017 N

Q: Using the expresions for critical constants in terms of Van der Waals constant, calculate the value ...

A: .

Q: The heat of fusion AH, of tetrahydrofuran (c,H,0) is 8.5 kJ/mol. Calculate the change in entropy as ...

A: Hf = 8.5 kJ/ mol T = —108.5 ° c = —108.5 + 273. 15° C = 164.65 k

Q: Concept Check: Photodissociation/Photoionization Sample Problem 4. The bond energy in N, is 941 kJ/m...

A: Bond energy of N2 = 941 kJ/mol

Q: 7.) Use the folowing themochemical equations as needed to find the heat of formation of diamond: C(d...

A: Given equations are : 1). C (diamond) + O2 (g) --------> CO2 (g) , ΔH1 = -395.4 KJ 2). 2CO2 (g...

Q: If I combined 15.0 grams of calcium hydroxide with 75.0 mL of 0.500M HCl, how many grams of calcium ...

A: Number of moles is calculated by dividing the given mass with molecular mass.u

Q: What is the molar concentration of HNO3 (63.0 g/mol) in a solution that has a specific gravity of 1....

Q: What is the molar solubility of Ag;SO4 in a solution that is 0.0522 M H2SO4? Ksp= 1.40x10^-5 (А) 1.6...

Q: Na2CO3(aq) + CaCl2(aq) – → 2 NaCl(aq) + CaCO3(s) Calculate the volume (in mL) of 0.100 M Na,CO3 need...

A: The balanced reaction taking place is given as, Given: Mass of CaCO3 produced = 1.00 g. And the con...

Q: A major component of gasoline is octane (C,H,). When octane is burned in air, it chemically reacts w...

A: We will first write balanced stoichiometric equation, then using it calculate mass of oxygen require...

Q: Quinine is a natural product extracted from the bark of the cinchona tree, which is native to South ...

A: Answer: Depression in freezing point is a colligative property. Higher the number of particles of no...

Q: For the reaction: CH3CH3(g) + 2H20(g) +Ni(s) ⇌ 2CO(g) + 5H2(g) +Ni(s) ∆H= +300 kJ/mol Write the e...

A: Given reaction is : CH3CH3 (g) + 2H2O (g) + Ni (s) ⇌ 2CO (g) + 5H2 (g) + Ni (s) , ∆H= +300 kJ/mole ...

Q: Which of the following is true about the following equilibrium at 298 K? H2O(l) ⇌ H+(aq) + OH−(aq...

A: At 298 k temperature ,the concentration of H+ And OH- Same hence [H+ ] = [OH+ ]= 1 x 10-7 mol-3 Kw ...

Q: What are all of the constitutional monomers of C7H16 and their respective names

A: Constitutional isomers are structural isomers which have the same molecular formula but have differe...

Q: Calculate the pH of a 4.0 x 10 °M aqueous solution of hydrochloric acid (HCI). Round your answer to ...

A: Given, Concentration of HCl = 4.0x10-8 M

Q: What is the time required for the reaction to be 62% completed

A: Answer:- For a first order reaction the equation is:- K= (2.303/t)log (a/a- X) a= initial conce...

Q: From the journal entitled “Ionic liquids synthesis and applications: An overview”, written by Sandi...

A: Ans. Synthesis of ionic liquids: The first room temperature (Ionic liquids) ILs making started in 19...

Q: Which is bronsted lowry acid and which is bronsted lowry base, and which is no one. Answer and expla...

Q: What is the molar concentration of HNO3 (63.0 g/mol) in a solution that has a specific gravity of 1....

Q: Some chemicals, like hydrogen peroxide, are prone to decomposition by photocatalysis. How can you pr...

A: Given, Some chemicals, like hydrogen peroxide, are prone to decomposition by photocatalysis How ca...

Q: second order reaction with a single reactant has a rate of 0.34 M/s at an initial concentration of 0...

A: The rate law expression for second order reaction with single reactant A is given by - Rate = K [A]2...

Q: How many grams of glucose (C6H12O6) are present in 257.3 mL of a 11.2 M solution?

A: Molarity of a solution can be defined as the number of moles of solute dissolved per litre of soluti...

Q: In order to form Ba(IO3)2, 500 mL of 0.5000 M Ba(NO3)2 was mixed with 500 mL of 0.0500 M NaIO3. ...

Q: A solution containing about 0.001 M Ca2+ is being measured using a calcium-specific electrode. If an...

A: Concentration of Ca2+ = 0.001M Permissible interference from Na+ = 4% We have to calculate the maxim...

Q: 2. Use the following information to answer the questions below: Density of carbon tetrachloride is 1...

A: Density of carbon tetrachloride = 1.584 g/cm3 1 cm3 = 1mL

Q: How is it that 1-butanol is insoluble with water but soluble with hexane?

Q: I. What products are formed when each alcohol is oxidized with K2Cr207? a. CH;CH,CH2CH,CH2OH ОН ОН H...

A: Concept: 1) K2Cr2O7 is a powerful uncontrolled oxidizing agent. 2) primary alcohol is converted int...

Q: The following diol is prepared from propanal (CH3CH2CHO) and 3-bromopropanol. Which derivatives will...

A: Grignard reaction - is the reaction that uses on organometallic compound to create carbon- carbon...

Q: Write a nuclear equation to describe the spontaneous fission of Am-244 to form I-134 and Mo-107. Det...

Q: stion 6 of 10 Write the balanced molecular equation and net ionic equation for the neutralization re...

A: For the given reaction, we can expect salt and water as two major products.

Q: PM Tue Mar 1 -e 64% +: 0 9. Sodium carbonate reacts with nitric acid according to the following equa...

A: Na2CO3 + 2HNO3 ------> 2NaNO3 + CO2 + H2O 3Fe + 4H2O ---------> 4H2 + Fe3O4

Q: .. gaseous reactants is put into a cylinder, where a chemical reaction turns them into gaseous produ...

A: Reaction in which heat is evolved is exothermic while reaction in which heat is absorbed is endother...

Q: I don't understand this problem! Please help! The question is: In the following balanced chemical re...

A: The chemical equation represents the possible reactants that combine to yield the products. In this ...

Q: Which reaction results in an increase in the entropy of the system? * O H20(g) H20(L) H20(L) H20(s) ...

A: Entropy: Entropy can be defined as the measurement of randomness or disorderness in the thermodynami...

Q: The Kb of C6H5NH3+ is 3.98x10-10 What is its Ka? What is the [H3O+] concentration in a solution tha...

Q: Consider the balanced reversible equation of acetic acid with ethanol, which takes plaxe with no sol...

A: Given :- acetic acid + ethanol <=> ethyl acetate + water Initial concentration of acetic aci...

Q: A student needs to prepare a buffer solution with a pH of 6.00. Assuming a pKą of 4.86, how many mL ...

A: pH = 6.00 ; pka = 4.86 Concentration of B- = 0.1 M Concentration of HB = 0.1 M Volume of HB = ...

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

100%

Equations 7.1a and 7.1b, expressions for Burgers vectors for FCC and BCC crystal structures, are of the form
b = uvw)
where a is the unit cell edge length. Also, since the magnitudes of these Burgers vectors may be determined from the following
equation:
1/2
+ v? + w²)"
determine values of |b| for aluminum and chromium. You may want to consult Table 3.1.
Part 1
Incorrect. Review Section 3.4 and Example Problem 3.1. It may help you to review your homework from Chapter 3.
Review the relationships between the unit cell length and the atomic radius.lf you are having difficulty with this
problem, you may wish to review: Solving Equations, Equations, Symbols and Units, Review of 2D and 3D Geometry.
What is a, the unit cell length, in nm, for aluminum?
a =
i
nm

Metal
Crystal Structure ª Atomic Radiusº (nm) Metal
Crystal Structure Atomic Radius (nm)
Aluminum FCC
0.1431
Molybdenum BCC
0.1363
Cadmium HCP
0.1490
Nickel
FCC
0.1246
Chromium BCC
0.1249
Platinum
FCC
0.1387
Cobalt
НСР
О.1253
Silver
FCC
0.1445
Сopper
FCC
0.1278
Tantalum
ВСС
0.1430
Gold
FCC
0.1442
Titanium (a) HCP
0.1445
Iron (a)
ВСС
0.1241
Tungsten
ВСС
0.1371
Lead
FCC
О.1750
Zinc
НСР
0.1332

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 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

The first two signals from a powdered sample has X rays (=1.47742A) diffracted at angles of 13.48 and 15.62. What type of cubic crystal is it, and what is the unit-cell parameter?
Equations 7.1a and 7.1b, expressions for Burgers vectors for FCC and BCC crystal structures, are of the form =(uvw) b = where a is the unit cell edge length. Also, since the magnitudes of these Burgers vectors may be determined from the following equation: |b| = = 2 (u² + v² + w²) ¹/² determine values of [b] for aluminum and chromium. You may want to consult Table 3.1.
A unit cell has a=5Å, b=5Å, c-8Å, a=90°, B-90° ad y=90°. What will be the Bravais lattice for this unit cell? Mention the following for each of the given crystallographic cubic planes. (a) Intercepts in the x, y and z coordinates (b) Reciprocals (c) Final index of the crystal plane 1/2
Define the following:(i) Primitive unit cell (ii) Schottky defect (iii)Ferromagnetism.
a) Gold (Au) has an atomic radius 0.137 nm and a density of 19.32 g/cm'. (Atomic weight of 196.97 g/mol) Determine whether it has an FCC or BCC crystal structure. Compute the packing fraction/ atomic packing factor (APF), assuming the atoms to be hard spheres. (i) (ii) b) Fig. Q4 (b) shows the unit cell of Nickel (II) oxide (NiO) with ionic radii of ry 0.069 nm and ro = 0.140 nm. Calculate the density of NiO. (Avogadro's Constant = 6.022 x 1025 mol) %3D %3D nickel (II) oxide Ni
3) Draw two different projections of a monoclinic unit cell with a = 3 Å, b = 4 Å, c = 5 Å, B = 119⁰. (Don't forget to indicate the basis vectors.) One atom is located at (0.2, 0.3, 0.4), another one at (0.2, 0.7, 0.4). Determine the interatomic distances < 2.5 Å.
Part III. Calculations (16) (10 points) The unit cell length for iron is 0.2867 nm and has a BCC structure. Calculate the APF (Atomic Packing Factor).
Use the Born-Mayer equation to estimate the lattice enthalpy of calcium sulfide, CaS. The crystal adopts a rocksalt structure with the distance between the centres of nearest neighbours being 284 pm.
6. Taking one of the corners to be the origin, give the lattice points for the face centered cubic unit cell expressed as fractions of the unit cell dimensions (x, y, z).
1.) Calculate the ionic packing factor (IPF) for the CsCl structure for a ratio of ionic radii a = cation, Evaluate your expression for CsCl and compare the results with the atomic ranion packing factor for a bcc structure. Why are the values for these packing factors similar?
c) Estimate the inter-planar spacing for (111) plane in copper having a lattice parameter of 3.4 Å.
Find the planer density (Po) in (atom/mm) of (100) in a face centered cubic unit cell with lattice constant of 3.5 A, and determined the atomic radius