material science
for certain ionic bond , the force interatomic distance relationship is given by F= 2A÷r^3-10B÷r^11 where r is in nm, A= 7.2*10^-20J and B=9.4*10^-25J. determine: a) the attractive energy, repulsive energy and the initial energy(U), necessary to from seperate ions if the total energy at the equilibrium distance is -8.5*10^-19J. b) find the force necessary to break the bond if the bond becomes unstable for r 0.31 nm c) find the modulus of Elasticity
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10.11 Using the data for KCl given in Exercise 5.4 estimate a frequency at which the dielectric constant of KCl will re...
10.11 Using the data for KCl given in Exercise 5.4 estimate a
frequency at which the dielectric constant of KCl will relax to a
lower value. [Hint: Around the equilibrium value the force is
proportional to displacement (to a first approximation), whence a
characteristic frequency can be derived.]
(From Ecercise 5.4: Take m = 1,n = 9,B = (1.75 e2) /
(4π). The
bulk modulus of elasticity is 1.88×1010
Nm–2.)
Answer given as: 2.68 × 10^12 Hz.
Please show how...
please answered highlighted part very detailed, thank you. onsider a hypothetical X-Y-ion pair for which the...
please answered highlighted part very detailed, thank
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...
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)...
2-1. Consider ionically bonded NaCl. The constants describing the bond energy are: A = 1.436 (Eq....
2-1. Consider ionically bonded NaCl. The constants describing the bond energy are: A = 1.436 (Eq. 2.9) B = 7.32 x 10^-6 (Eq. 2.11) n = 8 Where the units of distance are assumed to be nm and the energies are in eV. (a) Determine the equations for the force of attraction (FA) and force of repulsion (FR). (b) Determine the interatomic separation that results in zero net force (FN). (c) Calculate that the net energy at the distance calculated...
1. In the Bohr model of the hydrogen atom, a single electron orbits a single proton...
1. In the Bohr model of the hydrogen atom, a single electron orbits a single proton at a distance r-0.50 x 10-10 meters as shown. a) b Assuming the Coulomb force supplies the necessary centripetal force, find the Find the value of the attractive Coulomb force exerted on the electron. electron's speed v in its orbit about the nucleus. Can a charged object exert forces on an uncharged object? If so, will this force be attractive, repulsive, or is either...
1. a) A simple cubic crystal is formed of atoms which interact with a Lennard-Jones potential...
1. a) A simple cubic crystal is formed of atoms which interact with a Lennard-Jones potential with a bond energy of 0.3 eV, and nearest neighbor distance -0.4 nm. Find A and B (note that r r is a minimum in U) b) What is the force between near est neighbors when rro? c) What is the force between nearest neighbors when r-1.01 ro? This is a small force, but on a VERY small object. d) What is the spring...
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...
Please help me out with this assignment as soon as possible Thabk You Ch.5 -Circular Motion...
Please help me out with this assignment as soon as
possible
Thabk You
Ch.5 -Circular Motion
6. According to Newton's Law of Gravitation, if the distance between two bodies is doubled, the attractive force between them becomes ( twice as large. Show reasoning: 0 half as large. four times as large. ( one quarter as large. 0 unchanged. fourt Kepler's third law can be simplified to T/r=1 or Tar if the orbit period T is expressed in earth years and...
What are the instruments that have been utilized for the review article discussions? ` 1. Introduction...
What are the instruments that have been utilized for the
review article discussions?
`
1. Introduction In recent years, nanoclays have been the object of particular interest for many scientists and researchers in chemistry, physics, engineering and biology due to their excellent properties as well as their sustain- ability [1-3]. For instance, they represent the starting point to the de velopment of smart materials for drug delivery (4-9), food packaging [10-12), environmental remediation and wastewater treatment [13], cultural heritage [14–17and...
10.11 Using the data for KCl given in Exercise 5.4 estimate a
frequency at which the dielectric constant of KCl will relax to a
lower value. [Hint: Around the equilibrium value the force is
proportional to displacement (to a first approximation), whence a
characteristic frequency can be derived.]
(From Ecercise 5.4: Take m = 1,n = 9,B = (1.75 e2) /
(4π). The
bulk modulus of elasticity is 1.88×1010
Nm–2.)
Answer given as: 2.68 × 10^12 Hz.
Please show how...
please answered highlighted part very detailed, thank
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...
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)...
1. In the Bohr model of the hydrogen atom, a single electron orbits a single proton at a distance r-0.50 x 10-10 meters as shown. a) b Assuming the Coulomb force supplies the necessary centripetal force, find the Find the value of the attractive Coulomb force exerted on the electron. electron's speed v in its orbit about the nucleus. Can a charged object exert forces on an uncharged object? If so, will this force be attractive, repulsive, or is either...
1. a) A simple cubic crystal is formed of atoms which interact with a Lennard-Jones potential with a bond energy of 0.3 eV, and nearest neighbor distance -0.4 nm. Find A and B (note that r r is a minimum in U) b) What is the force between near est neighbors when rro? c) What is the force between nearest neighbors when r-1.01 ro? This is a small force, but on a VERY small object. d) What is the spring...
Please help me out with this assignment as soon as
possible
Thabk You
Ch.5 -Circular Motion
6. According to Newton's Law of Gravitation, if the distance between two bodies is doubled, the attractive force between them becomes ( twice as large. Show reasoning: 0 half as large. four times as large. ( one quarter as large. 0 unchanged. fourt Kepler's third law can be simplified to T/r=1 or Tar if the orbit period T is expressed in earth years and...
What are the instruments that have been utilized for the
review article discussions?
`
1. Introduction In recent years, nanoclays have been the object of particular interest for many scientists and researchers in chemistry, physics, engineering and biology due to their excellent properties as well as their sustain- ability [1-3]. For instance, they represent the starting point to the de velopment of smart materials for drug delivery (4-9), food packaging [10-12), environmental remediation and wastewater treatment [13], cultural heritage [14–17and...
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