https://www.compadre.org/PQP/applications/prob14_3.cfm Two potential energy curves are shown (given in eV and distance is given in Bohr radii) for two different molecules. Determine which molecule requires the greater amount of energy to be disassociated and find that energy.
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https://www.compadre.org/PQP/applications/prob14_3.cfm
Two potential energy curves are shown (given in eV and distance is given in Bohr radii) for two different molecules. Determine which molecule requires the greater amount of energy to be disassociated and find that energy.
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- Check Your Understanding The vibrational frequency of the hydrogen iodide HI diatomic molecule is 6.691013Hz. (a) What is the force constant of the molecular bond between the hydrogen and the Iodine atoms? (b) What is the energy of the emitted photon when this molecule makes a transition between adjacent vibration energy levels?A2 molecule is considered in a simple way as two touching A atoms as depicted in the Figure. Does this arrangement have a lower energy than two separated A atoms? The radius r. of the A atom is 0.1 nm. Using the Virial Theorem, consider the following: a. Calculate the total electrostatic potential energy (PE) of all the charges when they are arranged as shown in Figure. Is this configuration energetically favorable? b. Given that in the isolated A-atom the PE is 2 ×(-15 eV), calculate the change in PE in going from two isolated A-atoms to the A2 molecule. Using the Virial theorem, find the change in the total energy. Nucleus Nucleus e---The moment of inertia of an H2O molecule about an axis bisecting the HOH angle is 1.91 x 10-47 kg m2 Its minimum angular momentum about that axis (other than zero) is h. In classical terms. how many revolutions per second do the H atoms make about the axis when in that state? What is the minimum energy needed to excite the rotation of an H2O molecule about the axis?
- 4. Liner ionic crystal. Consider a line of 2N ions of alternating charge ±q with a repulsive potential energy A/R" between nearest neighbors. (a) Show that at the equilibrium separation (CGS) (b) Let the crystal be compressed so that R. → R. (1-8). Show that the work done in a compressing a unit length of the crystal has the leading term C8²/2, where 2 (n-1)q² In 2 (CGS) C = U(R): = 2Nq² In 2 (₁-1). Ro n Ro To obtain the results in SI, replace q² by q²/4л. Note: We should not expect to obtain this result from the expression for U(R), but we must use the complete expression for U(R).An empirical interatomic pair potential for xenon atoms, in units of eV, and nm, and the lattice parameter of Xenon is equal to 0.630 nm. V(r) = 12.6 X 10-7 31.8 X 10-4 712 The calculated interatomic separation (nearest-neighbour) distance is: A. 0.2227 nm. B. 0.3536 nm C. 0.4455 nm D. 1.414 nm3. Atomic vibrations in a metal. Consider point ions of mass M and charge e immersed in a uniform sea of conduction electrons. The ions are imagined to be in stable equilibrium when at regular lattice points. If one ion is displaced a small distance r from its equilibrium position, the restoring force is largely due to the electric charge within the sphere of radius r centered at the equilibrium position. Take the number density of ions (or of conduction electrons ) as 3/(47R³), which defines R. (a) Show that the frequency of a single ion set into oscillation is @= (e²/MR³) ¹/2. (b) Estimate the value of this frequency for sodium, roughly. (c) From (a), (b), and some common sense, estimate the order of magnitude of the velocity of sound in metal.
- Q3: In a P-type germanium, n₁ = 2.1 x 10¹ m ³density of boran 4.5 x 1023 atoms /m³. The electron and hole mobility are 0.4 and 0.2 m²v's respectively. What is its conductivity before and after addition of boron atoms.For a K*- CF ion pair, attractive and repulsive energies E, and ER, respectively, depend on the distance between the ions r, according to 1.436 E4 -- 5.8 x 10-6 ER = For these expressions, energies are expressed in electron volts per K*- Cl- pair, and r is the distance in nanometers. a) If the net energy EN is just the sum of the two expressions above: EN = E+ ER, Find the values of r, and E,? b) If curves of E,, ER and EN are plotted in given figure, compare E, the calculated values of ro and E, with that from the graph. -0.28 nm E,-4.6 eV 0.00 0 10 0.20 0.30 0.40 0.50 060 0.70 0.80 00 1.00The graph shows the potential energy curve for a system of two oxygen atoms. Imagine the two atoms are in a bound state. If they are 0.1 nm apart and have no kinetic energy, what is the minimum amount of energy (in Joules) that needs to be added to the system in order to break the bond?
- Q4. Calculate the values of electron and hole concentrations in cm³ at 300 K for intrinsic Ge, Si and GaAs, given: Quantity me/mo m/mo Eg (eV) mo e kB h Ge 0.55 0.31 0.66 9.1×10-³1 kg 1.6×10-¹9 C 1.38×10-23 J/K 1.054×10-34 Js Si 1.10 0.56 1.12 Ge 0.068 0.500 1.43Consider spherical nanoparticles of copper with diameters of 10 and 100 nm. A) Calculate the total number of atoms in the particles,considering the lattice parameter of bulk Cu. B) Calculate the number of atoms at the grain boundaries for a typical grain boundary thickness of 1nm.B/ answer with the word true or false and correct the error, 1- The total energy of the electron is usually greater than zero. If 2)the electron moves from one orbit to another higher than it, the velocity of the electron in the higher orbit increases 3- The hydrogen bond is mostly ionic 4) The probability of the existence of an electron at a level higher than the Fermi level at absolute zero is 50% 5) Propagation current arises from the effect of an electric field on a metal.
