Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 5, Problem 13P
To determine
The atomic plane that produce a wave that cancels the surface reflection.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Calculate the wavelength corresponding to an electron with the energy of 94 eV (kiloelectronvolt). Give your answer in Angstrom (10-10 m, for example, if the answer is 1.6x10-10 m, then write 1.6 as your answer). This should give you a good idea why one can use a crystal lattice with an average interatomic distance of around 10-10 m to observe electron diffraction.
A beam of X-rays of first-order wavelength 1.5406 Å is diffracted by a cubic crystal
with lattice constant of 4.2 Å. What is the relationship between the glancing angle if
the (002), (020), and (200) planes of the crystal diffract the X-ray? Given: (1) For a
cubic crystal, the lattice translation vector (a) relates lattice spacing (d) and Miller
indices (h k l) through the relation a? = d²(h? + k² + l²); (2) 1 Å = 10-1º m.
Calculate the wavelength corresponding to an electron with the energy of 95 eV (kiloelectronvolt). Give your answer in Angstrom (10-10 m, for example, if the answer is 1.6x10-10 m, then write 1.6 as your answer). This should give you a good idea why one can use a crystal lattice with an average interatomic distance of around 10-10 m to observe electron diffraction.
(the answer 1.25 was incorrect that i found)***
Chapter 5 Solutions
Modern Physics
Ch. 5.1 - A 0.20-kg ball is thrown upward. How much work is...Ch. 5.5 - Prob. 5ECh. 5 - Prob. 1QCh. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Prob. 4QCh. 5 - Prob. 5QCh. 5 - Prob. 7QCh. 5 - Prob. 8QCh. 5 - Prob. 9Q
Ch. 5 - Prob. 10QCh. 5 - Prob. 11QCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Show that the group velocity for a nonrelativistic...Ch. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37P
Knowledge Booster
Similar questions
- Could an experiment involving electron diffraction be conducted with three or four slits? Employing a grating with several slits? What type of outcomes might you anticipate with a grating? Would this violate the uncertainty principle? Explain.arrow_forwardQ#03. (a) Show that the (hkl) plane is perpendicular to the [hkl] direction. (b) Discuss the Laue method for X-ray diffraction to evaluate the crystal structure and write its advantages over the other methods..arrow_forwardsimple cubic crystal is cut so that the rows of atoms on its surface are separated by adistance of 0.352 nm. A beam of electrons is accelerated through a potential difference of 175 Vand is incident on the surface. If all diffraction orders are possible, at what angles, relative to thecrystal surface, would the diffracted beams be observed? me = 9.11 ×10 -31 kg.arrow_forward
- The structure factor defines the amount of scattering from the planes hkl in the direction e defined by Bragg's law and is given by: N Fnkl = 2f, (hkl) exp 2mi (hx + ky, + lz) J=1 where the unit cell in the crystal contains N atoms of which the jh atom has an atomic scattering factor, f(hkl) and fractional unit cell co-ordinates x, y, z;. Show clearly, that for a body-centred cubic (bcc) lattice, diffraction peaks will be systematically absent for all planes where (h+k+l) is odd and that diffraction peaks will occur for all planes where (h+k+1) is even. Note: exp (nrti) = +1 if n is even exp (nri) = -1 if n is oddarrow_forwardA linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 77 x 10° m/s, causing the two particles to annihilate. If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 104 u, or 9.109 x 1031 kg. Note: Assume that the kinetic energy is also converted into the gamma rays, and is included in the two photons.arrow_forwardIn an electron-scattering experiment, an intense reflected beam is found at ϕ = 32° for a crystal with an interatomic distance of 0.23 nm. What is the lattice spacing of the planes responsible for the scattering? Assuming fi rst-order diffraction, what are the wavelength, momentum, kinetic energy, and total energy of the incident electrons?arrow_forward
- HW1 : If an X - ray diffraction pattern for a powder sample of Cr ( crystal system : body - centered cubic and lattice parameter a = 0.2000 nm) is measured using a conventional diffractometer , we will obtain six diffraction peaks corresponding to (110),( 200),(211),(220), ( 310), and ( 222) planes . Compute the Lorentz - polarization factor using Cu - K, radiation Lamda = 1.545 nm . Hint : make a table for indexing pattern analysis . e 5:44 /arrow_forwardLorentzian Spectrum. A light-emitting diode (LED) emits light of Lorentzian spectrum with a linewidth Av (FWHM) = 1013 Hz centered about a frequency corresponding to a wavelength A, = 0.7 µm. Determine the linewidth AA, (in units of nm), the coherence time Te, and the coherence length la. What is the maximum time delay within which the magnitude of the complex degree of temporal coherence [g(7)| is greater than 0.5?arrow_forward问题2 A harmonic oscillator has an angular frequency w = 2.289 x1015 Hz. What is the longest %3D wavelength of light in nm that can cause a transition to a different quantum state in this ocillator?arrow_forward
- Problem 01: An x-ray diffractometer (XRD) recorder chart for an element which has either the BCC or the FCC crystal structure showed diffraction peaks at the following 20 angles: 40.663°, 47.314°, 69.144°, and 83.448°. (The wavelength 2 of the incoming radiation was 0.15405 nm.) Now using the Bragg's law and d-spacing formula: (a) Generalize the concept of radius ratio identify the crystal structure of the element. (b) Determine the lattice constant of the element. (c) Identify the element use the data of the Table 1. (d) If you were told that the metal is palladium, would you be surprised? How do you identify the discrepancy? You can use this table for interpretation. Table: 1: Selected metals that have the BCC, FCC, HCP crystal structure at room temperature (20°C) and their lattice constant, atomic radius, density, melting point temperature. Lattice Constants 20°C, nm Melting Paint, °C Atomic Radins, nm Crystal Structuret (20°C) Element Symbol Aluminum AI Sb 660 Antimony Arsenic 630…arrow_forwardA beam of X-ray diffraction (XRD) with a CuKa radiation of wavelength, λ = 1.541 Å, falls on a powder of three samples (A, B and C) which crystallized in the following crystal structure: sample A: body center cubic (BCC) with lattice parameter a = 4 Å; sample B: tetragonal, with lattice parameters a = b = 4 Å and c = 6 Å and sample C: orthorhombic, with lattice parameters a = 4 Å, b = 6Å and c = 8 Å. 1. For the first order Bragg diffraction, which of the three sample will give the smallest Bragg angle on the plan (111)? 2. Explain clearly with some calculations, if there will be higher order reflections on the plan (111) for the three samples.arrow_forward8.1-4 Modal Dispersion. Light of wavelength A, = 0.633 um is transmitted through a mirror waveguide of mirror separation d= 10 um and n = 1. Determine the number of TE and TM modes. Determine the group velocities of the fastest and the slowest mode. If a narrow pulse of light is carried by all modes for a distance 1 m in the waveguide, how much does the pulse spread as a result of the differences of the group velocities? 8.2-3 Parameters of a Dielectric Waveguide. Light of free-space wavelength A. 0.87 µm isarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning