A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm°, and an atomic weight of 48.9 g/mol. Please calculate the atomic radius of this metal. Some useful equations are provided below.

A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm°, and an atomic weight of 48.9 g/mol. Please calculate the atomic radius of this metal. Some useful equations are provided below.

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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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

A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm, and an atomic weight of 48.9
g/mol. Please calculate the atomic radius of this metal. Some useful equations are provided below.
a= 2R/2
a = 2R3
!!
nA
VNA
O 0.122 nm
O 0.567 nm
0.745 nm
1.23 nm

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