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For an Na^+ --Cl^- ion pair, attractive and repulsive energies E_A and E_R, respectively depend on...
10. For a Na +Cl-ion pair, attractive and repulsive energies Ea and ER, respectively depend on...
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...
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...
For a K+–Cl– ion pair, attractive and repulsive energies EA and ER, respectively, depend on the...
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...
Consider a hypothetical X+-Y' ion pair for which the equilibrium interionic spacing and bonding energy values...
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...
Answer to Problem 2.19 Bonding Forces and Energies 2.13 Calculate the force of attraction between a...
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...
1. For a pair of ions M*-X, the attractive and repulsive energies EA and Er (in...
1. For a pair of ions M*-X, the attractive and repulsive energies EA and Er (in eV/pair), respectively, depend on the distance between the ions r (in nm), according to the following equations: 1.5 EA r ER 6 x 10-6 r9 a. Write down the expression for the total energy En. (2 marks) b. Take the derivative of Ex (4 marks) C. Calculate the equilibrium distance ro given that it is be distance at which en is minimum. (6 mark)...
For an M+2-N-2 ion pair, attractive and repulsive energies EA and ER
For an \(\mathrm{M}^{+2}-\mathrm{N}^{-2}\) ion pair, attractive and repulsive energies \(\mathrm{E}_{\mathrm{A}}\) and \(\mathrm{E}_{\mathrm{R}}\), respectively, depend on the distance between the ions \(r\), according to$$ \begin{array}{c} E_{A}=\frac{-4.3}{r} \\ E_{R}=\frac{8.5 \times 10^{-6}}{r^{9}} \end{array} $$(a) Plot EA, ER and EN on the same graph.(b) Determine r0 and E0 from the graph.(c) Mathematically determine r0 and E0.(d) Plot FA, FR and FN on the same graph.You need to show all graphs and tables. If you are reading a value from graph, you need to show...
2.16 Consider a hypothetical X-Y ion pair for which the equilibrium interionic spacing and bonding energy...
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...
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 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...
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...
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...
1. For a pair of ions M*-X, the attractive and repulsive energies EA and Er (in eV/pair), respectively, depend on the distance between the ions r (in nm), according to the following equations: 1.5 EA r ER 6 x 10-6 r9 a. Write down the expression for the total energy En. (2 marks) b. Take the derivative of Ex (4 marks) C. Calculate the equilibrium distance ro given that it is be distance at which en is minimum. (6 mark)...
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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