A crystal is known to have a face-centered (F-centering) cubic unit cell. The fractional coordinate (0,0,0) is equivalent to the following based on the symmetry consideration. (-0.5, 0.5, 1.5) O (-0.5, 1, -0.5) O (0.5, 0.5, 0.5) O (1/2, 0, 0)

A crystal is known to have a face-centered (F-centering) cubic unit cell. The fractional coordinate (0,0,0) is equivalent to the following based on the symmetry consideration. (-0.5, 0.5, 1.5) O (-0.5, 1, -0.5) O (0.5, 0.5, 0.5) O (1/2, 0, 0)

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 21.36E: The first two signals from a powdered sample has X rays (=1.47742A) diffracted at angles of 13.48...

See similar textbooks

Related questions

Q: A new strontium iron(III) oxide is calculated to have narrow partially-filled conduction band but is…

A: The new strontium iron(III) oxide (SrFeO3) is determined to have a thin to some extent filled…

Q: how can i determine the amount of tetrahedral and octahedral voids?

Q: 2. Free electron energies in reduced zone. Consider the free electron energy bands of an fcc crystal…

Q: Imagine a pyramid with a hexagonal base. For this pyramid determine: a-) The degree of symmetry; b-)…

A: “Since there are multiple sub-parts in this question and it is not mentioned that which one has to…

Q: Constructive interference happens on the (211) set of planes in a BCC crystal structure. The…

A: Unit cell is the smallest portion of a crystal lattice which is repeated along all directions…

Q: The unit cell of nickel arsenide is shown here. (a) What typeof lattice does this crystal possess?…

A: (a) Nickel arsenide have hexagonal close packed unit cell (hcp).

Q: for determination of crystallite size by xrd based on peak width appear at 2θ= 33o, and the full…

Q: Derive simplified expressions for F? or diamond, including the rules governing observed reflections.…

A: Given:-

Q: A Simple Cubic crystal shows a first-order diffraction peak on (1 00) plane while Body Centered…

A: The simple cubic crystal, BCC (body-centered cubic), and FCC (Face-centered cubic) are the types of…

Q: Preve that the e-0.225 rove = 0-225 ra For Coord. Namber 4 in Ceramic Grypstal structure 2.

A: Answer:- This question is answered by using the simple concept of calculation radius ration for the…

Q: What point defects are possible for Al2O3 as an impurity in MgO? How many Al3+ ions must be added to…

Q: Using a simple infinite barrier approximation, calculate the “effective bandgap” of a 10 nm…

Q: Determine the indices of the crystallographic direction shown below. Express in proper notation.

Q: 12.24 Each compound in List 1 has a matching description in List 2. Correctly match the partners.…

A: Match the list

Q: onic bonding: The Madelung constant for a three-dimensional crystal of NaCl vas presented in Section…

Q: Derive Bragg,s Equation? What is the significance of n in this equation? At what Bragg angle will…

Q: Estimate the mole fraction of Schottky and Frenkel defects in NaCl crystal at 1000K. The energies of…

A: Ionic solids possessing small difference in anionic as well as cationic size exhibits Schottky…

Q: Verify that the lowest value of the radius ratio for (a) sixfold coordination is 0.414, and (b) for…

A: (a)

Q: Determine the indices of the cubic crystal plane that intersects the position coordinates : 1,1/4,…

A: For the first position coordinate (1,0.25,0) Reciprocal of intercepts = (1,4,0) Miller indices =…

Q: Why is it necessary to use the Ka transition (2p-----> 1s) in copper (see Problem 88) to generate…

A: The 2p→1s transition for copper is called the Kα transition. This transition is used to generate…

Q: Consider a sample of GaAs at 300 K in which the Fermi energy is 0.22 eV below Ec. Determine n. for…

A: Given the Fermi energy is 0.22 eV below the conduction band, Ec. Hence (Ec - EF)= 0.22 eV…

Q: Shown above is an array of points that is referred to as a body-centered-cubic lattice. For every…

A: sdfdfdf

Q: A cation vacancy paired with an anion vacancy is called Schottky defect. The Frenkel defect is an…

Q: Name one solid in which both Frenkel and Schottky defects occur.

A: There are main three states of matter namely, solid, liquid, and gas. The Solid-state of the…

Q: Comparing two FCC metals, one with melting temperature of 857 ºC and one with melting temperature =…

A: A face-centered cubic has atoms at each corner of the cube and six atoms are at each face of the…

Q: A simplifed phase diagram for iron is shown below, with the solid part divided into the body-centred…

A: FCC has more dense packing and it has close packed structure.But, BCC is less dense and it is not…

Q: 0.5 →Y 0.67

A: Step-1: Identify the intercepts on the x-, y- and z- axes. In this case the intercept on the…

Q: (c) (c) Determine the axis intersects of a surface with Miller Index (i) (220) (ii) (312) (d) Sketch…

Q: Briefly describe the following crystalline defects. (i) Vacancy (ii) Interstitial

A: Solid state chemistry.

Q: Cu is in FCC structure. We know that even at close to melting temperature, vacancies are still…

A: FCC is face centered cubic lattice. In FCC structure, there are eight atoms at the eight corner of…

Q: Frenkel defects exist in ZrO,. For each of these defects, note how many of the following vacancies…

A: Solution We know that Hence Right option is (b) Zr4+ interstitials

Q: Q3: For BCC iron, compute (a) the interplanar spacing and (b) the diffraction angle for the (220)…

Q: Find points in the unit cell of silicon that are symmetry points with respect to spatial inversion.…

A: When we change the position of the molecule by 180o and the coordinates shift from (x,y,z) to…

Q: What patterns do you notice within the groups of salts in Table ? (A group is deﬁ ned as having the…

A: Nearest neighbor separation means in the crystal the neighboring atom attached with Sodium, Na.

Q: Draw the given direction vector [112] and crystallographic plane (112) in the following cubic unit…

Q: Use the References to access important values if needed for this question. Metallic platinum…

Q: At low temperatures, Fe has a Body Centered Cubic (BCC) crystal structure. This phase is rite, a.…

Q: The interplanar spacing for an orthorhombic unit cell is given by 1 h2 k2 12 dikl a2 c2" Reduce this…

Q: Q3-al Calculate Miller's coefficient for the surface that cuts the crystal's coordinates at the…

Q: The mineral clausthalite is composed of lead selenide (PbSe). This mineral adopts the NaCl structure…

Q: Which has higher symmetry: Crystobalite or Quartz? Explain. clearly label which is higher and please…

A: The proper arrangement of the atoms or ions at the lattice points leads to the formation of the…

Q: D. FILL THE TABLE BELOW. Molar mass M(g/mole) Atomic radius Theoretical density P(g/cm") Density at…

A: 1) α-Polonium For simple cubic, the relation between radius, r and edge length, a is: a=2r…

Q: 1-The direction indices for the crystallographic direction indicated by the vector are a) [101] b)…

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

Q: Q#01. Answer the followings: (a) Distinguish between the coordination number and number of atoms per…

A: Coordination number, also called Ligancy, the number of atoms, ions, or molecules that a central…

Q: What is the Madelung constant for MgO (rock salt) structure? Include only the first 3 terms. Give…

A: Madelung constant is used to determine the electrostatic potential of a single ion in a crystal by…

Q: Find the Miller indices of the planes that intersect the crystallographic axes at the distances: (i)…

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

Q: A new strontium iron(III) oxide is calculated to have narrow partially-filled conduction band but is…

A: Between the Fermi level and the conduction band edge, the novel strontium iron(III) oxide (SrFeO3)…

Q: Define the Miller indices of the cubic crystal plane that intersects the following position…

A: Miller Indices of a plane are proportional to reciprocal of intercept of the plane on the three…

Question

A crystal is known to have a face-centered (F-centering) cubic unit cell. The fractional coordinate (0,0,0) is equivalent to the
following based on the symmetry consideration.
(-0.5, 0.5, 1.5)
O (-0.5, 1, -0.5)
(0.5, 0.5, 0.5)
O (1/2, 0, 0)

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

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

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

Derive Bragg,s Equation? What is the significance of n in this equation? At what Bragg angle will reflection occur for the 200 plane in crystalline ca using filtered CuK α radiations? The wavelength of the radiations is ʎ = 0.14646 nm.
Imagine a pyramid with a hexagonal base. For thispyramid determine:a-) The degree of symmetry;b-) The crystalline system to which this crystal would belong;c-) Determine the Weiss Parameters and the respective Miller indices for eachface of that crystal. Note that a crystal of this type has 7 faces.d-) Make a stereographic projection of this crystal indicating:- the position of all 07 faces;- the position of all crystallographic axes;- the position of all crystallographic planes.
I) Diamond crystallises in a face-centred cubic structure with a = 3.5625 Å. Calculate the d-spacing and peak position of the first allowed peak (i.e. the peak with the lowest hkl value that meets the selection rules) using a wavelength of 0.71073 Å. II) A solvothermal synthesis gave rise to a mixture of two crystalline phases: one phase consists of 50-65 μm octahedral crystallites while the other phase consists of 150-180 μm hexagonal plates. Identify a separation technique that would likely be effective in separating these materials.
What is the stoichiometry for Fe3O4? What point defects will be associated with a Frenkel defect in Fe3O4.
Verify that the lowest value of the radius ratio for (a) sixfold coordination is 0.414, and (b) for eightfold coordination is 0.732.
Why is it necessary to use the Ka transition (2p-----> 1s) in copper (see Problem 88) to generate X-rays? Why not use, for example, the 4s--->3p transition?
What is the Madelung constant for MgO (rock salt) structure? Include only the first 3 terms. Give your answer to 3 significant figures.
The mineral clausthalite is composed of lead selenide (PbSe). This mineral adopts the NaCl structure - the anions are arranged in face-centered cubic structure. Fill in the needed information below and explain why:Latice points where the Pb2+ are:a. edgeb. cornerc. bodyd. face
an X-ray diffraction pattern for a powder sample of Cr (crystal system: body-centered cubic and lattice parameter a = 0.2884 nm) is measured using a conventional diffractometer. For the (220) plane, compute the Lorentz-polarization factor (LP) using CuKα radiation λ = 0.1542 nm.
Use the Born-Mayer equation to estimate the latticeenthalpy of calcium sulfide. CaS. The crystal adopts a rocksalt structure w ith the distance between the centres of nearest neighbours being 284 pm.
The coordination number for Mg2 + ion is usually six. Assumingthis assumption holds, determine the anion coordinationnumber in the following compounds: (a) MgS, (b)MgF2, (c) MgO.
Derive simplified expressions for F2 for diamond, including the rules governing observed reflections. This crystal is cubie and contains 8 carbon atoms per unit cell, located in the following positions: 0 0 0 ½ ½ 0 ½ 0 ½ 0 ½ ½ ¼ ¼ ¼ ¾ ¾ ¼ ¾ ¼ ¾ ¼ ¾ ¾