Principles of Instrumental Analysis
7th Edition
ISBN: 9781305577213
Author: Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher: Cengage Learning
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Chapter 6, Problem 6.6QAP
Interpretation Introduction
Interpretation:
The refractive index of diamond (
Concept introduction:
Snell’s law states the relationship between the refractive indexes of the two medias and the incidence and refraction angles for a refraction.
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1. For FCC (face-centered cubic) platinum (Pt, having an atomic radius of 0.1387 nm),
determine the expected diffraction angle (0) for the first-order reflection from the (311) planes,
measured using monochromatic X-ray with a wavelength of 0.1542 m.
You are given the following data :
Peak order (n) Diffraction Angle (2q)
1 38.6
2 55.7
3 70.0
Determine whether sample is fcc or bcc or neither. Give reason for your choice.
A crystalline sample has a diffraction peak at 15.6°. What is the corresponding d space in pm?
Assume n = 1 and A = 90.1 pm.
Report your answer to the ones place.
Chapter 6 Solutions
Principles of Instrumental Analysis
Ch. 6 - Prob. 6.1QAPCh. 6 - Calculate the frequency in hertz, the energy in...Ch. 6 - Calculate the frequency in hertz, the wavelength...Ch. 6 - Prob. 6.4QAPCh. 6 - Prob. 6.5QAPCh. 6 - Prob. 6.6QAPCh. 6 - What is the wavelength of a photon that has three...Ch. 6 - The silver bromide bond energy is approximately...Ch. 6 - Cesium is used extensively in photocells and in...Ch. 6 - Prob. 6.10QAP
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- 5. For which set of crystallographic planes will a first-order diffraction peak occur at a diffraction angle of 46.21° for BCC iron when monochromatic radiation having a wavelength of 0.0711 nm is used?arrow_forward(e) Platinum has an FCC crystal structure. The atomic radius of platinum is 0.1387 nm. An X-ray diffractometer with a monochromatic radiation of wavelength 0.1542 nm is used is used to analyze a sample of the metal. i. Which of the following planes will produce a peak: (110), (211), or (113)? ii. For the plane producing a peak, calculate its diffraction angle.arrow_forwardDuring a lunar exploration an unknown crystalline substance is discovered whose external morphology indicates is a cubic material. A diffraction pattern of this material, using radiation of wavelength 0.154 nm, provides the following data: Diffraction Peak, Diffraction Angle, 0 #1 15.64° #2 18.13° #3 26.11° #4 31.06° #5 32.61° #6 38.48° #7 42.7° (a) What structure does this unknown material possess? (b) What is the lattice parameter? (c) What is the atomic radius of the unknown material? (d) What is the element? Crystal Structure“ Atomic Radius (пт) Crystal Structure Atomic Radius (nm) Metal Metal Aluminum FCC 0.1431 Molybdenum ВСС 0.1363 Cadmium НСР 0.1490 Nickel FCC 0.1246 Chromium ВСС 0.1249 Platinum FCC 0.1387 Cobalt НСР 0.1253 Silver FCC 0.1445 Сopper FCC 0.1278 Tantalum ВСС 0.1430 Gold FCC 0.1442 Titanium (a) НСР 0.1445 Iron (a) ВСС 0.1241 Tungsten ВСС 0.1371 Lead FCC 0.1750 Zinc НСР 0.1332arrow_forward
- 1. For BCC (body-centered cubic) chromium (Cr, having atomic radium of 0.1249 nm), determine the expected diffraction angle (θ) for the second-order reflection from the (211) set of planes, under monochromatic radiation with a wavelength of 0.0711 nm.arrow_forwarda) For bcc lattice, which values of hkl give reflection? b) For fcc lattice, which values of hkl give reflection? c) For the diamond lattice, which values of hkl give reflection? (Hint: SG = Sjattice X Spasis) For each case list the miller indices for the first 5 reflection peaks.arrow_forwardWhen an electron beam penetrates a sample in the SEM microscope chamber, the properties of the electron beam (i.e., its energy, E, or equivalently, wavelengthe) are related to the spacing of the atomic planes, d, through the Bragg's diffraction relation: nλ = 2d sin 0 Where n is the integer order of diffraction. When Bragg's condition for a certain set of planes is met, a diffraction pattern can be produced and collected by a detector in order to analyze the crystal orientations and texture of the grains. Consider an incident beam energy of (1.47x10^1) keV, where the electron wavelength is given by the de Broglie equation: de = h 2m (Eo " where m is the mass of an electron and E is expressed in joules. If the electron beam is directed at a silicon crystal that has a diamond-cubic crystal lattice with a lattice parameter of (4.8800x10^-10) meters, what is the value of the incident angle (0) produced to satisfy the first order diffraction of the (220) plane? Express you answer in…arrow_forward
- The utilized reflecting plane of a lithium fluoride analyzing crystal has a interplanar distance of 2.5 A°. calculate the wavelength of second order diffracted line which has a glancing angle of 60°.arrow_forwardWhich type of magnetic material cannot be used to makepermanent magnets, a ferromagnetic substance, an antiferromagneticsubstance, or a ferrimagnetic substance?arrow_forwardMany mangnetic materials are magnets. O True O Falsearrow_forward
- 3) The figure below shows an x-ray diffraction pattern for erbium nitride (ErN) taken using a diffractometer mono-chromatic x-radiation having a wavelength of 0.15418 nm; each diffraction peak on the pattern has been indexed. Assume the order of diffraction is 1. 1- Compute the interplanar spacing for only three indexed planes. 2- Determine the lattice parameter.arrow_forwardWhat is the value of 0 for the first diffraction line (n = 1) in bcc iron (atomic radius 126 pm) when the X-ray wavelength is 58.0 pm? Hint: Consider the closest set of lattice planes.arrow_forwardFigure below shows the first four peaks of the x-ray diffraction pattern for copper, which has a face centered cubic erystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. Reflection indices are presented in the table below. The whole number of wavelengths cquals one. (a) Index (i.e., give h, k, and / indices) for each of these peaks. (b) Determine the interplanar spacing for cach of the peaks. (e) For cach peak, determine the atomic radius for Cu. 40.0 50.0 60.0 70.0 80.0 90.0 Diffraction angle 20 Reflection Indices for First Six Planes 110, 200, 211, 220, 310, 222 Crystal Structure Reflections Present (h +k +) even ВСС FCC h, k, and I either all odd or all even 111, 200, 220, 311, 222, 400 Simple cubic All 100, 110, 111, 200, 210, 211 Intensity (relative)arrow_forward
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