Domanda del libro di testo
Determine the number of atoms per unit cell for each metal.
(b) Tungsten
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Ch.13 - Solids & Modern Materials
Tro5th EditionChemistry: A Molecular ApproachISBN: 9780134874371
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TOC.tableOfContents
- Ch.1 - Matter, Measurement & Problem Solving117
- Ch.2 - Atoms & Elements106
- Ch.3 - Molecules and Compounds128
- Ch.4 - Chemical Reactions and Chemical Quantities56
- Ch.5 - Introduction to Solutions and Aqueous Solutions84
- Ch.6 - Gases112
- Ch.7 - Thermochemistry96
- Ch.8 - The Quantum-Mechanical Model of the Atom60
- Ch.9 - Periodic Properties of the Elements86
- Ch.10 - Chemical Bonding I: The Lewis Model91
- Ch.11 - Chemical Bonding II: Molecular Shapes, VSEPR & MO Theory85
- Ch.12 - Liquids, Solids & Intermolecular Forces51
- Ch.13 - Solids & Modern Materials48
- Ch.14 - Solutions93
- Ch.15 - Chemical Kinetics114
- Ch.16 - Chemical Equilibrium68
- Ch.17 - Acids and Bases137
- Ch.18 - Aqueous Ionic Equilibrium154
- Ch.19 - Free Energy & Thermodynamics91
- Ch.20 - Electrochemistry105
- Ch.21 - Radioactivity & Nuclear Chemistry74
- Ch.22 - Organic Chemistry141
Tro5th EditionChemistry: A Molecular ApproachISBN: 9780134874371Non è quello che usi tu?Cambia libro di testo
Capitolo 13, Problema 28
An X-ray beam of unknown wavelength is diffracted from a NaCl surface. If the interplanar distance in the crystal is 286 pm, and the angle of maximum reflection is found to be 7.23°, what is the wavelength of the X-ray beam? (Assume n = 1.)
Guida verificata passo dopo passo1
Identify the relevant formula for X-ray diffraction, which is Bragg's Law: \( n\lambda = 2d\sin\theta \).
Substitute the given values into Bragg's Law: \( n = 1 \), \( d = 286 \text{ pm} \), and \( \theta = 7.23^\circ \).
Convert the angle from degrees to radians if necessary, or use the sine of the angle directly in degrees.
Rearrange the formula to solve for the wavelength \( \lambda \): \( \lambda = \frac{2d\sin\theta}{n} \).
Calculate the sine of the angle and substitute all known values into the rearranged formula to find the wavelength \( \lambda \).
Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Bragg's Law
Bragg's Law relates the wavelength of X-rays to the angle of diffraction and the interplanar spacing in a crystal. It is expressed as nλ = 2d sin(θ), where n is the order of reflection, λ is the wavelength, d is the interplanar distance, and θ is the angle of diffraction. This principle is fundamental in determining the structure of crystalline materials using X-ray diffraction.
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02:03
Hess's Law
Interplanar Distance
The interplanar distance (d) is the distance between parallel planes of atoms in a crystal lattice. It is a critical parameter in crystallography, influencing how X-rays interact with the crystal. In the context of Bragg's Law, knowing the interplanar distance allows for the calculation of the wavelength of X-rays based on the diffraction angle.
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03:29Electronic Transitions
Diffraction Angle
The diffraction angle (θ) is the angle at which X-rays are scattered by the crystal planes. It is essential for applying Bragg's Law, as it directly affects the constructive interference of the diffracted waves. The angle of maximum reflection indicates the specific conditions under which the X-rays are most effectively diffracted, allowing for the determination of the wavelength.
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01:53Bond Angles
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