(ii)Show that the reciprocal lattice of the FCC is the BCC lattice. The reciprocalа, хӑ,a, xā,lattice vectors are given by b, = 2n, 5, = 2.7 X4, 5, = 2r-ΩΩwhere 2=ä, • (ã, xã,)|, ā¡, ä‚, ä, are the three primitive vectors.

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Show that the reciprocal lattice of the FCC is the BCC lattice. The reciprocal ā, xã, 42 ×az b, = 2n- - 27 d3× a 5,= 27 ā, xā, ӑ хӑ, lattice vectors are given by b, = 2n· %3D Ω Ω Ω where 2=|ä, • ā, xã,) |, ā¡, ā‚, ã, are the three primitive vectors.

Show that the reciprocal lattice of the FCC is the BCC lattice. The reciprocal ā, xã, 42 ×az b, = 2n- - 27 d3× a 5,= 27 ā, xā, ӑ хӑ, lattice vectors are given by b, = 2n· %3D Ω Ω Ω where 2=|ä, • ā, xã,) |, ā¡, ā‚, ã, are the three primitive vectors.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter12: Thermodynamic Processes And Thermochemistry

Section: Chapter Questions

Problem 8P

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Concept explainers

Thermochemistry

Thermochemistry can be considered as a branch of thermodynamics that deals with the connections between warmth, work, and various types of energy, formed because of different synthetic and actual cycles. Thermochemistry describes the energy changes that occur as a result of reactions or chemical changes in a substance.

Exergonic Reaction

The term exergonic is derived from the Greek word in which ‘ergon’ means work and exergonic means ‘work outside’. Exergonic reactions releases work energy. Exergonic reactions are different from exothermic reactions, the one that releases only heat energy during the course of the reaction. So, exothermic reaction is one type of exergonic reaction. Exergonic reaction releases work energy in different forms like heat, light or sound. For example, a glow stick releases light making that an exergonic reaction and not an exothermic reaction since no heat is released. Even endothermic reactions at very high temperature are exergonic.

Question

(ii)
Show that the reciprocal lattice of the FCC is the BCC lattice. The reciprocal
а, хӑ,
a, xā,
lattice vectors are given by b, = 2n
, 5, = 2.7 X4, 5, = 2r-
Ω
Ω
where 2=ä, • (ã, xã,)|, ā¡, ä‚, ä, are the three primitive vectors.

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