Answered: 7.3 Show that a sphere of radius 0.73r,…

7.3 Show that a sphere of radius 0.73r, where r is the radius of the corner atoms, will fit in the center of a primitive cubic structure.

Physical Chemistry

2nd Edition

ISBN:9781133958437

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

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

Chapter13: Introduction To Symmetry In Quantum Mechanics

Section: Chapter Questions

Problem 13.50E

See similar textbooks

Related questions

Q: How would you explain the experimental observations that the SeF6 unit in Cs2[SeF6] is C2v and…

A: The electronegativity of fluorine is higher than the chlorine, this results the bond length of S-F…

Q: What is the molecular and electron geomtry of SF6?

A: The structure of the molecules in terms of the valence electrons present in the valence shell of…

Q: Ethylene glycol, HOCH2CH2OH, may look nonpolar when drawn, but an internal hydrogen bond results in…

Q: Arrange Kr, Cl2, H2, N2, Ne, and O2 in order of increasing polarizability. Explain your reasoning.

Q: 2. Discuss the limitations of the freely jointed and rotating bond model for a disordered polymer…

A: A polymer chain is consisting of numerous bits joined together named as monomers. However, to deal…

Q: Which of the following molecules/ions has the greatest number of different classes of mirror plane…

A: Plane of symmetry is a 2-D plane which bisects the molecule into two equal halves which are mirror…

Q: D.D. Nelson et al. (Science 238, 1670 (1987)) examined several weakly bound gas-phase complexes of…

A: Atoms are surrounded by electrons which revolve around nucleus. During bond formation, these…

Q: 2HAHB Two water molecules are separated by 2.72 Å in air. Use the equation V = to calculate the…

A: Given: Separation between water molecules = 2.72 Ao Dipole moment = 1.82 D To calculate: Strength of…

Q: Each H2O molecule in crystalline ice is bonded to four tetrahedrally distributed oxygen atoms by…

A: a) Ice is an archetypal hydrogen-bonded molecular crystal. The orientations of hydrogen bonds…

Q: (a) What is the lattice vector? What is the basis? Specify using the conventional notation with b=".…

A: Introduction: Symmetrical 3D arrangements of atoms, ions, or molecules give rise to a lattice. These…

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

A: a) What is the area of a primitive cell:- Answer:- b) Show that the lattice is a rectangular…

Q: Assume that each H-bond is formed by two dipoles in a line, and approximate each dipole as a pair of…

A: Considering that the H- bonds are a system of dipoles with charges equal to +/- q. The system…

Q: Calculate the planar density of a BCC element if the radius is 0.125 nm.

Q: 2. Which of the following configurations are paramagnetic (select all that apply)?

A: paramagnetic configuration are those having unpaired electrons in the orbital.

Q: Dibromobenzene has three isomers: Which has a nonzero dipole moment?

Q: Why the concnetration with mol/dm^3 was used in kb calculations with no conversion to mol/m^3 to…

A: The conversion of unit depends on calculations.

Q: Draw the lattice plane that corresponds to the (111) set of planes

Q: Define Hyperconjugation ?

Q: Why are these bravais lattices the same? B-monoclinic and primitive (P)-monoclinic (if b is the…

A: There are several ways to describe a crystalline plane. The most fundamental description is known as…

Q: The molecule that does not exist due to its zero bond order is: Не2

Q: . Prove the nearest-neighbour distance in a diamond crystal is (3)2a/4. a)Idont+ifs the fe

A: In diamond cubic lattice, each atom is tetrahedrally bonded to four atoms.

Q: What is the maximum bond order that is possible between two s-block elements?

A: The bond order of a molecule is furnished as half of the difference between the number of electrons…

Q: Obtain the relation between the polarizability and the distance between the two atoms for a two…

A: Given answer of choices,

Q: Objects that are associated with trigonal bipyramidal and octahedral.

A: Interpretation- To tell about that objects that are associated with trigonal bipyramidal and…

Q: 3. Which of the following does have the strongest polarizabitliy ? Z of S = 16, Br = 35, O = 8

A: Which of the following does have the strongest polarizabitliy ? Z of S = 16, Br = 35, O = 8

Q: Which is more polarizable, Ar or Kr? Why? Include a definition of polarizability.

Q: When the paramagnetic species are very close together, or are separated by a species that can…

A: Paramagnetic species are the species that contain one or more unpaired electrons. When they are…

Q: Write all axes generated by S7 improper axis of rotation and indicate the equivalent ones when is…

A: Sn is the improper axis of rotation. It is imaginary axis rotation by θ(θ=360n) degree followed by…

Q: 1. Determine the highest order proper axis of rotation for each of the following geometric shapes.…

Q: Which symmetry element does the rectangle, one of the geometric shapes, not have? A. Ϭv B. S4 C.…

A: Rectangle are planner so XeF4 are the example of Rectangle so XeF4 is D4h and D4h having various…

Q: compare between the fellowing t Sigma and Pi band 2C1/croup and (VIIA) Grauf

A: The Comparison between sigma and pi orbital can be done based on the type of overlap, the strength…

Q: Explain polarizability ?

A: Polarization of ions: In the formation of an ionic molecule, when two oppositely charged ions that…

Q: Which gas-phase molecule is NOT linear? CS? SO, a. с. HCCH b. d. BRCN

A: We are to find out which of the given gas phase molecules is not linear CS2 SO2 HCCH BrCN

Q: Explain the meaning of third-spacing.

A: The movement of bodily fluid from the blood, into the spaces between the cells. Or the…

Q: How do OF2, SCl2, and PF3 distort from the regular molecular geometries?

A: VSEPR Theory : To determine the shapes of covalent molecules , valance shell electron pair repulsion…

Q: What are the bond angles in a regular nonagon?

A: The sum of the exterior angles of any polygon is 360 degrees. Therefore to find the measure of one…

Q: 2. The drawing on the right belongs to the _ the same length and all angles are 90°. A. C: В. D. С.…

A: The given molecule has three symmetry elements: C2 axis of symmetry sigma-v plane of symmetry…

Q: You have the following pair of molecules: POCl3 and HNO3. Determine: Is it or is it not polar?…

A: Polar molecules are those which have net dipole moment. Polarity is due to difference in the…

Q: Please arrange the following: Kr, Cl2, H2, N2, Ne, and O2 in order of increasing polarizability and…

Q: 8. a) Show that a two-dimensional lattice may not possess a 5-fold symmetry. b) Establish the fact…

A: Although objects themselves may appear to have 5-fold, 7-fold, 8-fold, or higher-fold rotation axes,…

Q: What dominant polarization mechanisms do you expect in oxygen (O2), hydrogen fluoride (HF) and…

A: Oxygen and methane are nonpolar molecule. Thus for there , there polarization mechanism is based on…

Q: 2) Use the C2 point group to illustrate that the irreducible representations in a character table…

A: The character table for the C2 point group is shown below.

Q: the maximum bond order that is possible between two p-block elements?

A: The bond order of a molecule is furnished as half of the difference between the number of electrons…

Q: Calculate the fraction of atom sites that are vacant for lead and thence the percentage of vacancies…

Q: is there a diffrence between the formula H3C and CH3

A: The two formulas given are H3C and CH3.

Q: Consider the diagram below. Which of the following most accurately describes the polygon in the…

A: Polygon is a shape which has atleast three side or more. Regular polygons are those polygon whose…

Question

7.3 Show that a sphere of radius 0.73r, where r is the radius of
the corner atoms, will fit in the center of a primitive cubic
structure.

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

Trending now

This is a popular solution!

Step by step

Solved in 2 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

Identify the point groups to which the following objects belong: (i) a sphere, (ii) an isosceles triangle, (iii) an equilateral triangle, (iv) an unsharpened cylindrical pencil.
Identify the symmetry elements present in the following objects. a The Eiffel Tower. You may have to look up a picture of it if you dont remember its shape b Any book ignore the printing. c An octagonal wood block. d A jack from the set of jacks pictured here: Note that some of the points end differently.
Show that all three sigma v operations in the group D3h belong to the same class.
What are the symmetry elements of C4H8 assuming CH3 is spherical?
2) Use the C2 point group to illustrate that the irreducible representations in a character table are mutually orthogonal and normalized to the order of the group .
4. Show that the function x y z has symmetry species A1 in pt group D2,
1. Find the point groups of the following shapes, interpreting (a) as a square and (b)-(p) as derivatives with lines perpendi
Benzene is usually modeled as a particle on a ring, however we can assume that the six π electrons are delocalized within a square plate of side a. Calculate the value of a that would account for the 268 nm ultraviolet absorption in benzene.
-What is the main difference between space group and point group symmetries? Which one do we prefer in explaining the physical properties?
What is the maximum degeneracy of the wavefunctions of a particle confined to the interior of an icosahedral nanoparticle?
Draw the shape of the [XeF5]- ion and answer the questions below: (i) List the symmetry elements and the symmetry operations of the [XeF5]- ion.
write the sentence that corresponds to this matrix [5, 3, 1, 1/2]