Problem # 3 (a) Describe the forces responsible for formation of inert gas (such as Argon) crystals. Express the cohesive energy (U(R)) of such crystals as a function of interatomic distance R, and sketch U(R vs R. (b) Evaluate the Madelung constant for a one-dimensional lattice of Na* and Cl ions. The distance between two nearest neighbor Na* and Cl ions is R. (c) For H2 one finds from measurements on the gas that the Lennard – Jones parameters are ɛ = 4 x 1016 erg and o = 2.91 Ả. Find the cohesive energy in kJ per mole of H2. Assume that the H2 molecules for an fcc lattice. Treat each H2 molecule as a sphere.
Problem # 3 (a) Describe the forces responsible for formation of inert gas (such as Argon) crystals. Express the cohesive energy (U(R)) of such crystals as a function of interatomic distance R, and sketch U(R vs R. (b) Evaluate the Madelung constant for a one-dimensional lattice of Na* and Cl ions. The distance between two nearest neighbor Na* and Cl ions is R. (c) For H2 one finds from measurements on the gas that the Lennard – Jones parameters are ɛ = 4 x 1016 erg and o = 2.91 Ả. Find the cohesive energy in kJ per mole of H2. Assume that the H2 molecules for an fcc lattice. Treat each H2 molecule as a sphere.
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![Problem # 3
(a) Describe the forces responsible for formation of inert gas (such as Argon) crystals. Express the
cohesive energy (U(R)) of such crystals as a function of interatomic distance R, and sketch U(R)
vs R.
(b) Evaluate the Madelung constant for a one-dimensional lattice of Na* and Cl ions. The distance
between two nearest neighbor Na* and Cl ions is R.
(c) For H2 one finds from measurements on the gas that the Lennard – Jones parameters are ɛ = 40
x 10-16 erg and o = 2.91 Ả. Find the cohesive energy in kJ per mole of H2. Assume that the H2
molecules for an fcc lattice. Treat each H2 molecule as a sphere.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a0294bf-99d1-4031-aaf9-dfd3e5bcf387%2Fd0c414d6-ca6d-48e3-8644-51bb220d15da%2Fftfm2ls_processed.png&w=3840&q=75)
Transcribed Image Text:Problem # 3
(a) Describe the forces responsible for formation of inert gas (such as Argon) crystals. Express the
cohesive energy (U(R)) of such crystals as a function of interatomic distance R, and sketch U(R)
vs R.
(b) Evaluate the Madelung constant for a one-dimensional lattice of Na* and Cl ions. The distance
between two nearest neighbor Na* and Cl ions is R.
(c) For H2 one finds from measurements on the gas that the Lennard – Jones parameters are ɛ = 40
x 10-16 erg and o = 2.91 Ả. Find the cohesive energy in kJ per mole of H2. Assume that the H2
molecules for an fcc lattice. Treat each H2 molecule as a sphere.
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