Gallium has an orthorhombic structure, with a0 5 0.45258 nm, b0 5 0.45186 nm, and c0 5 0.76570 nm. The atomic radius is 0.1218 nm. The density is 5.904 g/cm3, and the atomic weight is 69.72 g/mol. Determine (a) the number of atoms in each unit cell; and (b) the packing factor in the unit cell.

Gallium has an orthorhombic structure, with a0 5 0.45258 nm, b0 5 0.45186 nm, and c0 5 0.76570 nm. The atomic radius is 0.1218 nm. The density is 5.904 g/cm3, and the atomic weight is 69.72 g/mol. Determine (a) the number of atoms in each unit cell; and (b) the packing factor in the unit cell.

Understanding Motor Controls

4th Edition

ISBN:9781337798686

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter44: Semiconductors

Section: Chapter Questions

Problem 4RQ

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Concept explainers

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.

Question

Gallium has an orthorhombic structure,
with a0 5 0.45258 nm, b0 5 0.45186 nm,
and c0 5 0.76570 nm. The atomic radius
is 0.1218 nm. The density is 5.904 g/cm3,
and the atomic weight is 69.72 g/mol.
Determine
(a) the number of atoms in each unit cell;
and
(b) the packing factor in the unit cell.

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