# Concern the crystal lattice for titanium, which has the hexagonal structure shown on the left in the accompanying figure. The

## Question:

Concern the crystal lattice for titanium, which has the hexagonal structure shown on the left in the accompanying figure. The vectors

in R^{3} form a basis for the unit cell shown on the right. The numbers here are Angstrom units (1 A = 10^{-8} cm). In alloys of titanium, some additional atoms may be in the unit cell at the octahedral and tetrahedral sites (so named because of the geometric objects formed by atoms at these locations).

One of the octahedral sites is

relative to the lattice basis. Determine the coordinates of this site relative to the standard basis of R^{3}.

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**Related Book For**

## Linear Algebra And Its Applications

**ISBN:** 9781292351216

6th Global Edition

**Authors:** David Lay, Steven Lay, Judi McDonald

**Question Details**

Chapter #

**4**Section: Exercises 4.4

Problem: 41

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