The energy of an electron in a band as a function of its wave vector k is given by E(k)= Е – B(coska+coska+cosk_a), where E, B and a are constants. The effective mass of the electron near the bottom of the band is
Q: If an electron has an uncertainty in its velocity of 5.60 m/s, what is the uncertainty (in meters)…
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Q: (a) The x-coordinate of an electron is measured with an uncertainty of 0.30 mm. What is the…
A: Part (a) Given: The uncertainty in position co-ordinate of electron is ∆x=0.30 mm. The minimum…
Q: Consider a potential barrier defined by U(x) = 0 Uo 0 x L with Uo = 1.00 eV. An electron with…
A: Given,U0 = 1 eVE = 1.1 eVAn electron with E> 1eV, the transmission probability is given by,T =…
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Q: The speed of an electron is known to be between 5.0×106 m/sm/s and 5.8×106 m/sm/s . Estimate the…
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Q: b. Determine the energy of the radiation associated with transition C (6.21 eV)
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A: This problem can be solved using the formula for ground state of simple harmonic oscillator.
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Q: 2nx sin 2nz Consider the case of a 3-dimensional particle-in-a-box. Given: 4 = sin(ny) sin 1.50.…
A: The general form of the wavefunction of the particle inside a 3D box is given by, ψ=8V × sinnxπxLx ×…
Q: An electron is confined to a region of space of the size of an atom (0.1 nm). (a) What is the…
A: The uncertainty in position of the electron is Now, the Heisenberg uncertainty principle we have:…
Q: The uncertainty in the velocity of an electron is 53 × 10-3 m/s. What is the uncertainty in its…
A: The uncertainty in the velocity of an electron is 53 × 10-3 m/s. What is the uncertainty in its…
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Q: If an electron has an uncertainty in its velocity of 4.10 m/s, what is the uncertainty (in meters)…
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Q: 5- prove that average of X3 equal to zero , which (n|X|n >= (n|X³]n >= 0 , where 3 x³ = 2mw) ħ 17…
A: Given:
Q: Solid metals can be modeled as a set of uncoupled harmonic oscillators of the same frequency with…
A: The required solution is following
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- If the radius of a calcium ion is 0.22 nm, how much energy does it take to singly ionize it? Give your answer in electron-volts (eV) with precision 0.1 eV. Give your answer to 2 significant digits.An electron with a kinetic energy of 44.34 eV is incident on a square barrier with Up = 57.43 eV and w = 2.200 nm. What is the probability that the electron tunnels through the barrier? (Use 6.626 x 1034 j x S for h, 9.109 x 1031 kg for the mass of an electron, and 1.60 x 1019 C for the charge of an electron.)In scanning tunnelling microscope the tunnelling current is proportional to the transmission probability T. Suppose the gap potential energy V is greater than the electron energy E by V-E-=4.0 eV. Calculate the ratio of current when the needle is moved from L1=0.20nm to L2=0.35nm from the surface? Please enter your answer with 2 decimals.
- t was observed that the atoms of a substance had so much energy that it separated the electrons and protons of the atom. What is most likely the state of matter of the substance?If the radius of a calcium ion is 0.27 nm, how much energy does it take to singly ionize it? Give your answer in electron-volts (eV) with precision 0.1 eV. Give your answer to 2 significant digits.Show that the power law relationship P(Q) = kQr, for Q > 0 and r # 0, has an inverse that is also a power law, Q(P) = mP s, where m = k - l/r and s = 1/ r.
- If density of mercury is 13600 kg/ m = 9.8 m/s?. Find the energy of translation 3 and g %3D per cubic metre of oxygen at N.T.P.A real wave function is defined on the half-axis: [0≤x≤00) as y(x) = A(x/xo)e-x/xo where xo is a given constant with the dimension of length. a) Plot this function in the dimensionless variables and find the constant A. b) Present the normalized wave function in the dimensional variables. Hint: introduce the dimensionless variables = x/xo and Y(5) = Y(5)/A.The conversion between electron-volts and joules is 1 eV=1.60x10^-19 J . The work function for silver is 7.43 x 10^-19 . What is the work function for silver expressed in electron-volts?
- A quantum system is described by a wave function (r) being a superposition of two states with different energies E1 and E2: (x) = c191(r)e iEit/h+ c292(x)e¯iE2t/h. where ci = 2icz and the real functions p1(x) and p2(r) have the following properties: vile)dz = ile)dz = 1, "0 = rp(x)T#(x)l& p1(x)92(x)dx% D0. Calculate: 1. Probabilities of measurement of energies E1 and E2 2. Expectation valuc of cnergy (E)The wavelength of the emitted photon from the hydrogen molecule H2 is 2.30 μm (micrometers) when the vibrational quantum number decreases by one. What is the effective "spring constant" for the H2 molecule in N/m ?What is the "zero point" energy (in eV) of the molecular vibration?An atom is in an excited state for 4.00 us before moving back to the ground state. Find the approximate uncertainty in energy of the photon in units of 10¹¹ eV. (A) 8.23 (B) 3.78 (C) 4.97 (D) 5.49 (E) 6.17