Evaluate the probability of finding a molecule in the v= 1 vibrational state of a normal mode with frequency 630 cm-1 at temperature T = 400 K.
Q: Compute the Fermi speed for (a) Ca (EF = 4.69 eV) and (b) Be (EF = 14.3 eV).
A: Ef=12mev2fvf=2Efme Fermi speed for Ca. vf=24.69 eV1.60×10-19 J1 eV9.1×10-31 kg=1.28×106 m/s
Q: The diatomic molecule N2 has a rotational constant B(~) = 2.0 cm-1 and a vibrational constant v(~) =…
A: (a)the rotational partition function is: qrot=kBTBσ =207.9cm-12*2cm-1=51.975 for the high…
Q: constant of 573 N/m. Calculate the vibrational quantum molecule would dissociate at 4.5 eV.
A:
Q: For the nearly free electron model the first Brillouin zone boundary occurs when k = ± π/a , where k…
A:
Q: The expression for the second overtone frequency in the vibrational absorption spectra of a diatomic…
A:
Q: Q#04. Calculate the number of atoms per unit area in (100), (110) and (111) planes of in bcc crystal…
A:
Q: The Boltzmann constant is k = 8.617 * 10-5 eV/K. For a metallic solid at room temperature (293 K),…
A: Let f denote the probability that an electron state is occupied, T denote the temperature, k denote…
Q: (b): the potential energy of a diatomic molecule is given by U = А B where A and B are constants and…
A: Condition for Minimum energy:…
Q: Hcp structure. Show that the c/a ratio for an ideal hexagonal closed-packed structure is = 1.633. If…
A: To prove that the c/a ratio of Hcp structure is 83=1.633
Q: Plot the Fermi function Vs. Energy at the temperature of 500 K, when EF = 2 eV
A:
Q: What is the probability of an electron being thermally promoted to the conduction band in silicon…
A: Given Data : The value of Eg for silicon is given as Eg = 1.07 eV. The room temperature is given as…
Q: What is the minimum energy required to go from one vibrational state to the next higher vibrational…
A: A vibrational state of a molecule refers to the quantized amount of energy associated with vibration…
Q: Suppose a pure Si crystal has 5 × 1028 atoms m-3. It is doped by 1 ppm concentration of pentavalent…
A: Given: Number of Si crystal, n = 5 × 1028 atoms m-3 Dopping = 1 ppm = 10-6 ni =1.5 × 1016 m-3.
Q: Determine the distance between nearest (110) planes in a simple cubic lattice with a lattice…
A: Based on the various arrangement of atoms the units cells are classified as SC, BCC, FCC etc. In a…
Q: JA silicon wafer is doped with 1015 cm 3 donor atoms. Assume light generates density of electrons…
A: Given that, ND=1015 cm-3no=1015 cm-3 δn=δp=1018 cm-3
Q: Plot the Fermi-Dirac function f(E) versus the energy ratio E/EF at room temperature T=300oK.(Assume…
A:
Q: The packing efficiency of simple cubic lattice is 52.4%. Find the amount of space occupied by the…
A: Packing efficiency is the percentage of volume filled with the constituent particles of an unit…
Q: Calculate the planar density and planar packing fraction for the (010) and (020) planes in simple…
A:
Q: Estimate the contribution of the spin to the molar entropy of a solid sample of a d-metal complex…
A:
Q: The vibrational wavenumber of HBr is 264 cm-1 Evaluate the vibrational partition function of HBr at…
A: In physics, the partition function refers to the statistical properties of a system in thermodynamic…
Q: The effective spring constant describing the potential energy of the HI molecule is 320 N/m and that…
A: (a) Determine the reduced mass of the HI molecule as follows.
Q: The frequency of vibration of the H2 molecule is 1.32*1014 Hz. (a) find the relative populations of…
A:
Q: If the leading anharmonic correction to the energy of nh vibrational level of a diatomic 1 molecule…
A:
Q: Q#04. (a) Calculate the number of atoms per unit area in (100), (110) and (111) planes of in bcc…
A: In the body centered cubic structure (BCC), the number of atoms in (100) plane is 1 ( no atoms on…
Q: The characteristic vibrational temperature for chlorine (Cl₂) gas is 805 K. Calculate the fraction…
A: The vibrational first excited state is reached by any diatomic when it gets excited and leaves its…
Q: In a Si semiconductor sample of 200 pam length at 600 K the hole concentration as a' function of the…
A: Given, Hole concentration,px=1×1016x2 Temperature, T=600 K Electric field at equilibrium is given…
Q: For some materials, the band structure of the conduction band around k=0 can be represented by: ħ²k²…
A: The mass of an electron in the periodic potentials of a crystal is different from the free electron…
Q: Find expression for the density of states of one mole of NaCl crystal an
A: The density of states of a system denotes the proportion of states that the system will occupy at…
Q: Consider a Face Centered Cubic (FCC) lattice structured Nickel crystal. We are looking to find the…
A:
Q: The probability that a state at Ec+kT is occupied by an electron is equal to the probability that a…
A: Let us assume the Fermi-Dirac distribution function is, fF=exp-E-EFkT ..... (1) Where, f F…
Q: Consider a 100 Ǻ GaAs/AlGaAs quantum well where the electron effective mass is 0.067 m0. There are…
A: Given that, A 100 Å GaAs/AlGaAs quantum well,me*=0.067 m0ne=2×102/ cm2Magnetic field at which…
Q: Silicon atoms with a concentration of 7x 1010 cm3 are added to gallium arsenide GaAs at T = 400 K.…
A: Given, The concentration of the silicon atoms, N=7×1010cm-3 85% of the concentration replaces…
Q: The vibrational energy levels of a diatomic molecule can be written (in wavenumbers) as 5 ¸ = 0 ( a…
A:
Q: Given that the fundamental vibrational frequencies of a water molecule are 1595 cm¹, 3586 cm¹, and…
A:
Step by step
Solved in 2 steps with 2 images