2. An electron in a hydrogenic atom (e.g., Li2+) is described by the quantum numbers n = 2, l = 1, m₁ = 0. a) Write the spatial wavefunction describing this electron. b) Write the expression you would need to solve in order to determine the probability of the electron being located at the Bohr radius, a, = 53 pm. c) Write the expression you would need to solve in order to determine the probability of the electron being located between the nucleus and the Bohr radius? d) How would you find the most probable position of the electron?
2. An electron in a hydrogenic atom (e.g., Li2+) is described by the quantum numbers n = 2, l = 1, m₁ = 0. a) Write the spatial wavefunction describing this electron. b) Write the expression you would need to solve in order to determine the probability of the electron being located at the Bohr radius, a, = 53 pm. c) Write the expression you would need to solve in order to determine the probability of the electron being located between the nucleus and the Bohr radius? d) How would you find the most probable position of the electron?
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Transcribed Image Text:2. An electron in a hydrogenic atom (e.g., Li2+) is described by the
quantum numbers n = 2, l = 1, m₁ = 0.
a) Write the spatial wavefunction describing this electron.
b) Write the expression you would need to solve in order to determine the
probability of the electron being located at the Bohr radius, ao = 53 pm.
c) Write the expression you would need to solve in order to determine the
probability of the electron being located between the nucleus and the Bohr
radius?
d) How would you find the most probable position of the electron?
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