1. Many substances crystallize in a cubic structure. The unit cell for such crystals is a cube having an edgewith a length equal to do.-Face diagonala. What is the length, in terms of do, of the face diagonal, which runs diagonally across one face ofthe cube? (Hint: Use the Pythagorean theorem.)b. What is the length, again in terms of do. of the cube diagonal, which runs from one corner, throughthe center of the cube, to the opposite corner? (Hint: Make a right triangle having a face diagonaland an edge of the cube as its sides, with the hypotenuse equal to the cube diagonal, then use thePythagorean theorem again.)2. In an FCC structure, the centers of the atoms are found on the corners of the cubic unit cell and at thecenter of each face. The unit cell has an edge whose length is the distance from the center of one corneratom to the center of another corner atom on the same edge. The atoms on the diagonal of any face aretouching. One of the faces of the unit cell is shown here:88a. Show the distance do on the sketch. Draw in the boundaries of the unit cell.b. What is the relationship between the length of the face diagonal and the radius of the atoms, r?c. How is the radius of the atoms related to do?Face diagonal 2. In an FCC structure, the centers of the atoms are found on the corners of the cubic unit cell and at thecenter of each face. The unit cell has an edge whose length is the distance from the center of one corneratom to the center of another corner atom on the same edge. The atoms on the diagonal of any face aretouching. One of the faces of the unit cell is shown here:882/6/24, 2:38 PMa. Show the distance do on the sketch. Draw in the boundaries of the unit cell.b. What is the relationship between the length of the face diagonal and the radius of the atoms, r?c. How is the radius of the atoms related to do?https://ng.cengage.com/static/nb/ui/evo/index.html?elSBN=9780357857519&id=1775621999&nbld=3442981&snapshotld-3442981&dockAppUid=101&Face diagonalPrint Previewd. Platinum metal crystals have an FCC structure. The unit cell edge in platinum is 0.3932 nm long.What is the radius of a platinum atom, ?x do2/3

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1. Many substances crystallize in a cubic structure. The unit cell for such crystals is a cube having an edge with a length equal to do -Face diagonal a. What is the length, in terms of do. of the face diagonal, which runs diagonally across one face of the cube? (Hint: Use the Pythagorean theorem.) b. What is the length, again in terms of do. of the cube diagonal, which runs from one corner, through the center of the cube, to the opposite corner? (Hint: Make a right triangle having a face diagonal and an edge of the cube as its sides, with the hypotenuse equal to the cube diagonal, then use the Pythagorean theorem again.)

1. Many substances crystallize in a cubic structure. The unit cell for such crystals is a cube having an edge with a length equal to do -Face diagonal a. What is the length, in terms of do. of the face diagonal, which runs diagonally across one face of the cube? (Hint: Use the Pythagorean theorem.) b. What is the length, again in terms of do. of the cube diagonal, which runs from one corner, through the center of the cube, to the opposite corner? (Hint: Make a right triangle having a face diagonal and an edge of the cube as its sides, with the hypotenuse equal to the cube diagonal, then use the Pythagorean theorem again.)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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