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An electron is trapped in a square well with a width of 0.50 nm (comparable to a few atomic diameters). (a) Find the ground-level energy if the well is infinitely deep. (b) If the actual well depth is four times the ground-level energy found in part (a), find the energy levels. (c) If the atom makes a transition from a state with energy E 2 to a state with energy E1 by emitting a photon, find the wavelength of the photon. In what region of the electromagnetic spectrum does the photon lie? (d) If the electron is initially in its ground level and absorbs a photon, what is the minimum energy the photon must have to liberate the electron from the well? In what region of the spectrum does the photon lie?

An electron is trapped in a square well with a width of 0.50 nm (comparable to a few atomic diameters). (a) Find the ground-level energy if the well is infinitely deep. (b) If the actual well depth is four times the ground-level energy found in part (a), find the energy levels. (c) If the atom makes a transition from a state with energy E 2 to a state with energy E1 by emitting a photon, find the wavelength of the photon. In what region of the electromagnetic spectrum does the photon lie? (d) If the electron is initially in its ground level and absorbs a photon, what is the minimum energy the photon must have to liberate the electron from the well? In what region of the spectrum does the photon lie?

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An electron is trapped in a square well with a width of 0.50 nm (comparable to a few atomic diameters).
(a) Find the ground-level energy if the well is infinitely deep.

(b) If the actual well depth is four times
the ground-level energy found in part (a), find the energy levels.

(c) If the atom makes a transition from a state with energy E 2 to a state with energy E1 by emitting a photon, find the wavelength of the photon. In what region of the electromagnetic spectrum does the photon lie?

(d) If the electron is initially in its ground level and absorbs a photon, what is the minimum energy the photon must have to liberate the electron from the well? In what region of the spectrum does the photon lie?

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