16 Consider a hypothetical X*-Y ion pair for which the equilibrium interionic spacing and bonding energy...
Consider a hypothetical X+-Y' ion pair for which the equilibrium interionic spacing and bonding energy values are 0.35 nm and -6.13 eV, respectively. If it is known that n in E_nhas a value of 10, using r_0 = (a/nb)and E_o = determine explicit expressions for attractive and repulsive energies E_a and E_r of and The answers to Problem 2.18 were expressions for the equilibrium separation r_0 and the bonding energy, which are as follows: If n has a value of...
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...
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you.
onsider a hypothetical X-Y-ion pair for which the equilibrium interionic spacing and bonding nergy values are 0.38 nm and -5.37 eV, respectively. If it is known that exponent of the Born epulsion is n-8. The interatomic potential energy functional is given by AB E(r) = -+ r r (a) Determine the values A and B in the equation above; (b) Sketch E vs. r and on the sketch clearly mark the bond...
3. Assuming atoms can be represented as hard spheres, the bonding energy between a sodium ion and a chloride ion pair can be represented by: 1.436 7.32x10-6 8 1 1 where U is energy per ion pair in eV and r is the separation distance between ions in nanometers. Write answers in units of eV and nm. a) Find the equation for force between the atom pair. b) Find the equilibrium separation distance ro- c) Estimate the elastic modulus for...
For a K+–Cl– ion pair, attractive and repulsive energies EA and
ER, respectively, depend on the distance between the ions r,
according to EA = − 1.436 r ER = 5.8 × 10−6 r 9 For these
expressions, energies are expressed in electron volts (eV) per
K+–Cl– pair, and r is the distance in nanometers (nm). The net
energy EN is just the sum of the two expressions above (EN = EA +
ER). (a) Superimpose on a single plot...
3. Assuming atoms can be represented as hard spheres, the bonding energy between a sodium ion and a chloride ion pair can be represented by: 1.436 7.32x10-6 8 1 1 where U is energy per ion pair in eV and r is the separation distance between ions in nanometers. Write answers in units of eV and nm. a) Find the equation for force between the atom pair. b) Find the equilibrium separation distance ro- c) Estimate the elastic modulus for...
Calculate the Net Potential Energy of a Na+Cl- ion pair, which is formed by formed by ionic bonding if it is known that the ionic radius of the Na+ ion is 0.095 nm and that of the Cl- ion is 0.181 nm. The value of the electron charge is 1.60 x 10-19 C and of the permittivity of a vacuum is 8.85 x 10-12 C2/(N-m2). Assume n = 9 for NaCl.
10. For a Na +Cl-ion pair, attractive and repulsive energies Ea and ER, respectively depend on the distance between the ions r, according to 7.32 × 10-6 EA 1.436 For these expressions, energies are expressed in electron volts per Na+ Cl- pair, and ance in nanometers. The net energy Ev is just the sum of the preceding two expressions. (a) Superimpose on a single plot EN,FR, and EA versus r up to 1.0 nm. (b) On the basis of this...
For an Na+Cl- ion pair, attractive and repulsive energies EA and ER, respectively, depend on the distance between the ions (r), according to EA = - 1.436/r ER = 7.32 * (10^-6 / r^8) For these expressions, energies are expressed in electron volts (eV) / Na+Cl- ion pair, and r is the distance in nanometers (nm). The net energy, EN, is the sum of the EA and ER. a) Using graphical software (e.g. Matlab or Excel), create a single plot...
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...