![]() (125 pm) (1 cm / 10 10 pm) = 1.25 x 10¯ 8 cmĢ) Use the Pythagorean theorem to calculate the unit cell edge length: Calculate the density of solid crystalline chromium in grams per cubic centimeter. Problem #2b: Chromium crystallizes with a body-centered cubic unit cell. Using the Pythagorean Theorem, we find:ģ) The conversion from cm to pm is left to the student. We wish to determine the value of 4r, from which we will obtain r, the radius of the Cr atom. It is aĭiagonal of a face of the unit cell. The triangle we will use runs differently than the triangle used in fcc calculations.ĭ is the edge of the unit cell, however d√2 is NOT an edge of the unit cell. Determine the atomic radius of Cr in pm.ġ) Determine the edge length of the unit cell: The unit cell volume is 2.583 x 10¯ 23 cm 3. Problem #2a: Chromium crystallizes in a body-centered cubic structure. (3.306 x 10¯ 8 cm) 3 = 3.6133 x 10¯ 23 cm 3ģ) Calculate mass of the 2 tantalum atoms in the body-centered cubic unit cell: (b) Calculate the atomic weight of tantalum in g/mol.ģ30.6 pm x 1 cm/10 10 pm = 330.6 x 10¯ 10 cm = 3.306 x 10¯ 8 cmĢ) Calculate the volume of the unit cell: (a) calculate the mass of a tantalum atom. Problem #1: The edge length of the unit cell of Ta, is 330.6 pm the unit cell is body-centered cubic.
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