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(1) Knowing that lithium crystallizes in a cubic system with lattice considering its atomic mass (7) and its volumetric mass (546 kg-m-3), find which one is it ([simple cubic, body- centered cubic (bcc), or face-centered cubic (fcc)]?

(1) Knowing that lithium crystallizes in a cubic system with lattice considering its atomic mass (7) and its volumetric mass (546 kg-m-3), find which one is it ([simple cubic, body- centered cubic (bcc), or face-centered cubic (fcc)]?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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(1) Knowing that lithium crystallizes in a cubic system with lattice considering its atomic mass (7) and its volumetric mass (546 kg-m-3), find which one is it ([simple cubic, body- centered cubic (bcc), or face-centered cubic (fcc)]? (2) Knowing that the valence electrons of this metal (1 per atom) behave as free electrons, find the shape of the Fermi surface and its expression and then calculate its characteristic dimension kF. (3) Compare kr obtained in (2) to the distance dm, which in reciprocal space separates the origin from the first boundary of the first Brillouin zone nearest the origin. (Evaluate dm using simple geometric considerations without having to sketch the first Brillouin zone.)
Transcribed Image Text:(1) Knowing that lithium crystallizes in a cubic system with lattice considering its atomic mass (7) and its volumetric mass (546 kg-m-3), find which one is it ([simple cubic, body- centered cubic (bcc), or face-centered cubic (fcc)]? (2) Knowing that the valence electrons of this metal (1 per atom) behave as free electrons, find the shape of the Fermi surface and its expression and then calculate its characteristic dimension kF. (3) Compare kr obtained in (2) to the distance dm, which in reciprocal space separates the origin from the first boundary of the first Brillouin zone nearest the origin. (Evaluate dm using simple geometric considerations without having to sketch the first Brillouin zone.)
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