During 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 Radiust (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 Copper 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 0.1332
During 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 Radiust (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 Copper 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 0.1332
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:**Exploration of an Unknown Crystalline Substance**
During a lunar exploration, an unknown crystalline substance is discovered. The external morphology suggests it is a cubic material. A diffraction pattern of this material, using radiation of wavelength 0.154 nm, provides the following data:
**Diffraction Peak and Diffraction Angle (θ):**
1. #1 - 15.64°
2. #2 - 18.13°
3. #3 - 26.11°
4. #4 - 31.06°
5. #5 - 32.61°
6. #6 - 38.48°
7. #7 - 42.7°
**Questions:**
(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?
**Reference Table:**
| Metal | Crystal Structure | Atomic Radius (nm) |
|---------------|-------------------|--------------------|
| Aluminum | FCC | 0.1431 |
| Cadmium | HCP | 0.1490 |
| Chromium | BCC | 0.1249 |
| Cobalt | HCP | 0.1253 |
| Copper | FCC | 0.1278 |
| Gold | FCC | 0.1442 |
| Iron (α) | BCC | 0.1241 |
| Lead | FCC | 0.1750 |
| Molybdenum | BCC | 0.1363 |
| Nickel | FCC | 0.1246 |
| Platinum | FCC | 0.1387 |
| Silver | FCC | 0.1445 |
| Tantalum | BCC | 0.1430 |
| Titanium (α) | HCP | 0.1445 |
| Tungsten | BCC | 0.1371 |
| Zinc | HCP | 0.1332 |
**Notes on Graphs/Diagrams:**
While the image contains a structured table, it does not include graphs or diagrams. The table provides crucial reference data for metallic elements, their crystal structures, and atomic radii, necessary for solving
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