Chemistry: Structure and Properties Custom Edition for Rutgers University General Chemistry
15th Edition
ISBN: 9781269935678
Author: Nivaldo J. Tro
Publisher: Pearson Education
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Chapter 13, Problem 25E
Interpretation Introduction
To determine:
The separation between layers of atoms in the crystal.
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An X-ray beam with l = 154 pm incident on the surface of a crystal produced a maximum reflection at an angle of u = 28.3°. Assuming n = 1, calculate the separation between layers of atoms in the crystal.
A crystal was analyzed with x-rays having 1.57 Å wavelength. A reflection was produced at θ = 21.9°. Assuming n = 1, what is the distance (in cm) between the layers of atoms in the crystal?
When an X-ray beam of l = 154 pm is incident on the surface of an iron crystal, it produces a maximum diffraction at an angle of u = 32.6°. Assuming n = 1, calculate the separation between layers of iron atoms in the crystal.
Chapter 13 Solutions
Chemistry: Structure and Properties Custom Edition for Rutgers University General Chemistry
Ch. 13 - Determine what state this substance is in at 1 atm...Ch. 13 - Prob. 2SAQCh. 13 - Prob. 3SAQCh. 13 - Prob. 4SAQCh. 13 - Prob. 5SAQCh. 13 - Prob. 6SAQCh. 13 - Prob. 7SAQCh. 13 - Prob. 8SAQCh. 13 - Prob. 9SAQCh. 13 - Prob. 10SAQ
Ch. 13 - What is a phase diagram?Ch. 13 - Draw a generic phase diagram and label its...Ch. 13 - What is the significance of crossing a line in a...Ch. 13 - What is graphene? Why is graphene unique?Ch. 13 - Prob. 5ECh. 13 - What is a crystalline lattice? How is the lattice...Ch. 13 - Prob. 7ECh. 13 - Prob. 8ECh. 13 - What is the difference between hexagonal closest...Ch. 13 - What are the three basic types of solids and the...Ch. 13 - Prob. 11ECh. 13 - What kinds of forces hold each of the three basic...Ch. 13 - Prob. 13ECh. 13 - Prob. 14ECh. 13 - Prob. 15ECh. 13 - Prob. 16ECh. 13 - Prob. 17ECh. 13 - Prob. 18ECh. 13 - Prob. 19ECh. 13 - Consider the phase diagram for iodine shown here....Ch. 13 - Prob. 21ECh. 13 - Prob. 22ECh. 13 - Prob. 23ECh. 13 - Prob. 24ECh. 13 - Prob. 25ECh. 13 - An X-ray beam of unknown wavelength is diffracted...Ch. 13 - Prob. 27ECh. 13 - Determine the coordination number for each...Ch. 13 - Prob. 29ECh. 13 - Molybdenum crystallizes with the body-centred unit...Ch. 13 - Prob. 31ECh. 13 - An atom has a radius of 142 pm and crystallizes in...Ch. 13 - Rhodium has a density of 12.41 g / cm3 and...Ch. 13 - Barium has a density of 3.59 g/cm3 and...Ch. 13 - Prob. 35ECh. 13 - Palladium crystallizes with a face-centered cubic...Ch. 13 - Prob. 37ECh. 13 - Identify each solid as molecular, ionic, or...Ch. 13 - Which solid has the highest melting point? Why?...Ch. 13 - Which solid has the highest melting point? Why?...Ch. 13 - Which solid in each pair has the higher melting...Ch. 13 - Which solid in each pair has the higher melting...Ch. 13 - Prob. 43ECh. 13 - Prob. 44ECh. 13 - Prob. 45ECh. 13 - Prob. 46ECh. 13 - The unit cells for cesium chloride and barium(ll)...Ch. 13 - Prob. 48ECh. 13 - Prob. 49ECh. 13 - Prob. 50ECh. 13 - Prob. 51ECh. 13 - Prob. 52ECh. 13 - Prob. 53ECh. 13 - Prob. 54ECh. 13 - Prob. 55ECh. 13 - Prob. 56ECh. 13 - Prob. 57ECh. 13 - The density of an unknown metal is 12.3 g/cm3 and...Ch. 13 - Prob. 59ECh. 13 - Consider a planet where the pressure of the...Ch. 13 - An unknown metal is found to have a density of...Ch. 13 - Prob. 62ECh. 13 - Potassium chloride crystallizes in the rock salt...Ch. 13 - Calculate the fraction of empty space in cubic...Ch. 13 - Prob. 65ECh. 13 - Prob. 66ECh. 13 - Prob. 67E
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- 8.98 If you know the density of material and the length of the edge of its cubic Iattice, how would you determine if it is face-centered cubic, body-centered cubic, or simple cubic Would you have to look up any information?arrow_forwardThe density of polonium metal is 9.2 g/cm3. If the extended lattice of polonium exhibits a simple cubic unit cell, estimate the atomic radius of polonium.arrow_forwardWhat is the spacing between crystal planes that diffract X-rays with a wavelength of 1.541 nm at an angle of 15.55 (first order reflection)?arrow_forward
- The density of tantalum at 20oC is 16.69 g/cm3 and its unit cell is cubic. Given that the first five observed Bragg diffraction angles are θ =19.31o, 27.88o, 34.95o, 41.41o and 47.69o, find the type of unit cell and its length. Take the wavelength of the x-ray radiation to be λ =154.433 pm.arrow_forwardWhen analyzed with X-ray diffraction, a crystal produces a reflection at θ = 25.0°. Calculate the distance between the layers of atoms in the crystal if n = 2. The wavelength of X rays is 3.34 Åarrow_forwardA first-order (n = 1) reflection from the plane of a cubic crystal was observed at a glancing angle of 11.2° when Cu Ka X-rays (λ = 154 pm) were used. What is the interatomic distance between the atoms in the unit cell in pm?arrow_forward
- Elemental silver reflects X-rays of wavelength 154.18 pm at angles of 19.076°, 22.171°, and 32.256°. However, there are no other reflections at angles of less than 33°. Assuming a cubic unit cell, determine its type and dimension. Calculate the mass density of silver. Hint: Calculate the expected reflections from different types of cubic unit cell and compare those with the data given.arrow_forwardThe surface energy of a single crystal depends on crystallographic orientation. Does this surface energy increase or decrease with an increase in planar density? Why?arrow_forwardIn the early days of X-ray crystallography there was an urgent need to know the wavelengths of X-rays. One technique was to measure the diffraction angle from a mechanically ruled grating. Another method was to estimate the separation of lattice planes from the measured density of a crystal. The mass density of NaCl is 2.17 g cm−3 and the (100) reflection using radiation of a certain wavelength occurred at 6.0°. Calculate the wavelength of the X-rays.arrow_forward
- Calculate the first-order (n=1) Bragg diffraction angle for 110.0 pm X-rays passing through a crystalline lattice having a spacing between adjacent molecular layers of 189.0 pm.arrow_forwardThe second-order Bragg diffraction of X-rays with l= 1.660 Å from a set of parallel planes in copper occurs at an angle 2Q = 54.70°. Calculate the distance between the scattering planes in the crystal.arrow_forwardplatinum crystallizes in a FCC lattice with all atoms at the lattice points It has a density 1338.905 lb/ft^3 and an atomic weight of 0.195108 kg/mol. From these data , calculate the length of a unit cell edge . Compare this with the value of 392.4 pm obtained from x - ray diffraction .arrow_forward
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