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Since desired question 2.19 is not provided, as HOMEWORKLIB, only the first question's answer is done here,
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Answer to Problem 2.19
Bonding Forces and Energies 2.13 Calculate the force of attraction between a...
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...
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...
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...
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 an Na^+ --Cl^- ion pair, attractive and repulsive energies E_A and E_R, respectively depend on...
For an Na^+ --Cl^- ion pair, attractive and repulsive energies E_A and E_R, respectively depend on the distance between the ions r, according to E_A = - 1.436/r E_R = 7.32 times 10^-6/r^6 For these expression, energies are expressed in electron volts per Na^+ --Cl^- pair, and r is the distance in nanometers (nm). The net energy E_N is just the sum of the two expressions above. Determine the equilibrium spacing r_0 between the Na^+ and Cl^- Ions. 0) 0.68...
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...
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...
3. Assuming atoms can be represented as hard spheres, the bonding energy between a sodium ion...
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...
Problem 2.18 The net potential energy between two adjacent ions, EN, may be represented by Where...
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...
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)...
Problems 1-3, which ask you to explore expressions for the interatomic bonding energy, are confusing as...
Problems 1-3, which ask you to explore expressions for
the interatomic bonding energy, are confusing as you need the
answer to problem 3 to answer problem 2 - they are a bit inverted.
Please work you way through problems 1 and 2, and the answer to
problem 3 is already contained in the earlier problems. Sorry for
the confusion!
For the first 3 questions, refer to the following information: The net potential energy between two adjacent A B ions, EN,...
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...
For an Na^+ --Cl^- ion pair, attractive and repulsive energies E_A and E_R, respectively depend on the distance between the ions r, according to E_A = - 1.436/r E_R = 7.32 times 10^-6/r^6 For these expression, energies are expressed in electron volts per Na^+ --Cl^- pair, and r is the distance in nanometers (nm). The net energy E_N is just the sum of the two expressions above. Determine the equilibrium spacing r_0 between the Na^+ and Cl^- Ions. 0) 0.68...
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...
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...
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...
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)...
Problems 1-3, which ask you to explore expressions for
the interatomic bonding energy, are confusing as you need the
answer to problem 3 to answer problem 2 - they are a bit inverted.
Please work you way through problems 1 and 2, and the answer to
problem 3 is already contained in the earlier problems. Sorry for
the confusion!
For the first 3 questions, refer to the following information: The net potential energy between two adjacent A B ions, EN,...
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