Given EN= -A/r + B/rn
Hence d(EN/dr) =A/r2 – nB/r(n+1) = 0 for minimum energy, r becomes r0 ( the minium interatomic spacing
A/ro2 = nB/ro(n+1)
ro (n+1)/ro2= nB/A
ro(n+1-2)= (nB/A )
ro= (nB/A )1/(n-1)
EN( Minimum)= -A/(nB/A)1/(n-1) +B/(nB/A)n/(n-1)
Problems 1-3, which ask you to explore expressions for the interatomic bonding energy, are confusing as...
2.16 Consider a hypothetical X-Y ion pair for which the equilibrium interionic spacing and bonding energy values are 0.38 nm and -6.13 eV, 2.14 The net potential energy between two adjacent ions, EN, may be represented by the sum of Equations 2.9 and 2.11; that is, B EN= (2.17) r Calculate the bonding energy Eo in terms of the parameters A, B, and n using the following procedure: 1. Differentiate EN with respect to r, and then set the resulting...
Problem 2.18 The net potential energy between two adjacent ions, EN, may be represented by Where A, B, and n are constants whose values depend on the particular ionic system Calculate the bonding energy Eo in terms of the parameters A, B, and n using the following procedure: (1) Differentiate EN with respect to r, and then set the resulting expression equal to zero, since the curve of Ev versus r is a minimum at Eg. (2) Solve for r...
Answer to Problem 2.19 Bonding Forces and Energies 2.13 Calculate the force of attraction between a Ca2+ and an O on the centers of which are separated by a distance of 1.25 nm. 2.14 The net potential energy between two adja- cent ions, EN, may be represented by the sum of Equations 2.8 and 2.9; that is, A B Calculate the bonding energy Eo in terms of the parameters A, B, and n using the follow ing procedure: 1. Differentiate...
Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in the electric and magnetic fields, respectively, and also makes a useful connection between the energy density of a plane electromagnetic wave and the Poynting vector. In this problem, we explore the properties of a plane electromagnetic wave traveling at the speed of light c along the x axis through vacuum. Its electric and magnetic field vectors are as follows: E = E, sin (kx...
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I. Collaborative I re encouraged to work with fellow students, as well as to ask me questions For problems in this section, you a by email phone, or in person. Short Answer (5 points) No justification is required for the answer to the following question. Suppose J-J) is any quantum mechanical angular momentum - ie. that satisfies J,j, ih and cyclic permutations thereof. Suppose ψ ls a simultaneous eigenstate of both j-at tjz and.., i e , such that j2ψ...
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Please answer below question (A-C). Thank you 3 attempts lett Check my work te the difference in energy between the n -2 and n-1 states of an electron in a one- (a) Calcula dimensional box with a length of 0.50 nm. x 10.J (b) Caleulate the difference in energy between the n - 2 and n -1 states for an oxygen molecule in a one-dimensional box with a length of 10 cm x 10J (c) What do the different values...