4.3 Neon (Ne) is a crystalline solid with an FCC structure. The interatomic energy per atom can be written as: R) = 20 (1213(0)". (14.45) U(R)=28 (eV /atom) Where & and are constants that depend on the polarizability, and mean dipole moment, and the extent of overlap of core electrons. For crystalline Ne, & = 3.121 x 10³ eV and G= 0.274 nm. (a) Show that the equilibrium separation between the atoms in an inert gas crystal is given by ro= (1.090). What is the equilibrium interatomic separation in the Ne crystal? (b) Find the bonding energy per atom in solid Ne. (c) Calculate the density of solid Ne (atomic mass = 20.18 g/mol)

Modern Physics
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Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
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Chapter12: The Solid State
Section: Chapter Questions
Problem 8P: The Madelung constant for the NaCl structure may be found by summing an infinite alternating series...
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4.3 Neon (Ne) is a crystalline solid with an FCC structure. The interatomic energy per atom can be
written as:
20 [(12.13)(=) - (14.45()*] (eV / ate
atom)
U(R)=28
Where & and σ are constants that depend on the polarizability, and mean dipole moment, and
the extent of overlap of core electrons. For crystalline Ne, ε = 3.121 x 103 eV and
o = 0.274 nm.
(a) Show that the equilibrium separation between the atoms in an inert gas crystal is given
by ro= (1.090). What is the equilibrium interatomic separation in the Ne crystal?
(b) Find the bonding energy per atom in solid Ne.
(c) Calculate the density of solid Ne (atomic mass = 20.18 g/mol)
Transcribed Image Text:4.3 Neon (Ne) is a crystalline solid with an FCC structure. The interatomic energy per atom can be written as: 20 [(12.13)(=) - (14.45()*] (eV / ate atom) U(R)=28 Where & and σ are constants that depend on the polarizability, and mean dipole moment, and the extent of overlap of core electrons. For crystalline Ne, ε = 3.121 x 103 eV and o = 0.274 nm. (a) Show that the equilibrium separation between the atoms in an inert gas crystal is given by ro= (1.090). What is the equilibrium interatomic separation in the Ne crystal? (b) Find the bonding energy per atom in solid Ne. (c) Calculate the density of solid Ne (atomic mass = 20.18 g/mol)
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