An electron confined to a one-dimensional box has energy levels given by the equation

E_n=n²h² / 8mL²

where n is a quantum number with possible values of 1,2,3,â¦,m is the mass of the particle, and L is the length of the box.

Calculate the energies of the n=1,n=2, and n=3 levels for an electron in a box with a length of 200 pm .
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I need help with this one, my answers are not correct, for example n=1 I get 2.74*10^-18 J

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Jean KeelingLv2

31 May 2019

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An electron confined to a one-dimensional box has energy levels given by the equation

E_n=n²h² / 8mL²

where n is a quantum number with possible values of 1,2,3,â¦,m is the mass of the particle, and L is the length of the box.

Calculate the energies of the n=1,n=2, and n=3 levels for an electron in a box with a length of 200 pm .
----
I need help with this one, my answers are not correct, for example n=1 I get 2.74*10^-18 J

pinkfly277

95. An electron confined to a one-dimensional box has energy lev- els given by the equation: E, = n²W/8 m where n is a quantum number with possible values of 1,2,3,...,m is the mass of the particle, and L is the length of the box. a. Calculate the energies of the n = 1, n = 2, and n = 3 levels for an electron in a box with a length of 155 pm. b. Calculate the wavelength of light required to make a transition from n=12 n = 2 and from n = 2 n = 3. In what region of the electromagnetic spectrum do these wavelengths lie?