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# p1032.pdf - 1022 Chapter 31 An electron diffraction pattern...

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Unformatted text preview: 1022 Chapter 31 An electron diffraction pattern will be observed if the de Broglie wavelength is less than twice the interplanar distance, or (in this case) less than 470 pm. The electrons with kinetic energy 8.77 eV have been accelerated through a potential difference of 8.77 V. We can ﬁnd A using the equations developed in Problem 31—62: 1.504 x 106 V)”2 d) An electron diffraction pattern is observed. [1.504 x106 v 1/2 = 414 8.77 v ] pm A/pm = ( 31—65. Figure 31.28 shows the relative rates of ammonia synthesis for ﬁve different surfaces of iron. Iron crystallizes as a body-centered cubic structure. Draw a schematic representation of the atomic arrangement of the 100, 110, and 111 surfaces. (Hint: See Figure 31.9.) Determine the center—to-center distance between nearest neighbor atoms on the surface in units of a, the dimension of the unit cell. Below is a schematic representation of the appropriate surfaces. The distances marked are calculated by observing how the surface corresponds to the body—centered cubic structure. 21nd a a a a 2 V 2a 100 1 10 1 1 1 surface nearest-neighbor distance 100 a ﬁa 1 10 — 2 11 1 ﬁg 31—66. The Freundlich adsorption isotherm is given by V =kP" where k and a are constants. Can the data in Problem 31—52 be described by the Freundlich adsorption isotherm? Determine the best-ﬁt values of k and a to the data. We ﬁt the data in Problem 31—52 to a Freundlich adsorption isotherm below. ...
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