9- Gallium has an orthorhombic structure, with a0 = 0.45258 nm, b0 0.45186 nm, and c0 0.76570 nm. The density is 5.904 g/cm3, and the atomic weigh is 69.72 g/mol. Determine: The number of atoms in each unit cell; b- The packing factor in the unit cell. 2-

Niobium has a BCC crystal structure, an atomic radius of 0.143 nm and an atomic weight of 92.91 g/mol. Calculate the theoretical density for Nb. i g/cm³

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the answer should be equal to 0.842

Copper has a cubic structure with a = 0.36151 nm. The atomic radius is 0.1278 nm. The densityis 8.93 g/cm3, and the atomic mass is 63.55 g/mol. Determine (a) the number of atoms in each unit cell; and(b) the packing factor in the unit cell.

Iron exhibits an allotropic behavior change of solid state structure in such a way that when it is heated to 910 C it undergoes a structure change from body-centered cubic BCC to face-centered cubic FCC considering that the atomic radius of iron increases to 0.1241 nm or 0.126 nm more when said temperature is reached obtainThe volume change experienced by the structure when the temperature of 910 C is reached

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Draw a sketch of the (111) plane of the FCC unit cell. Are these atoms close packed? Draw a sketch of the close packed plane in hexagonal close packed. It will be simply an atom surrounded by 6 others in the plane.

Answer the following question with drawing the atom configurations of the plane or direction.What is the planar density for the (110) plane in a FCC structure?

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.) 2. In an FCC structure, the centers of the atoms are found on the corners of the cubic unit cell and at the center of each face. The unit cell has an edge whose length is the distance from the center of one corner atom to the center of another corner atom on the same edge. The atoms on the diagonal of any face are touching. One of the faces of the unit cell is shown…