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?

Similar questions

By developing the Schrodinger equation for the hydrogen atom determine: a. The probability of finding your electron in an orbit between [a0/2, 3a0/2] b. The probability of finding its electron inside the nucleus. c. The average radius of the electron's orbit.
18. Doubly-ionized lithium (Z = 3) undergoes a transition from the n = 2 to the n = 1 state by emission of a single photon. The photon is absorbed by a system constructed of an electron in a one-dimensional harmonic oscillator potential that is initially in its ground state. What are the two largest possible values of the characteristic frequency wo of the harmonic oscillator that absorbed the photon?
4. An H-atom is in is state. a. What is the probability that the electron is found in sphere given by r ≤ ao b. What is (r) ? c. calculate ().
1. Consider a quantum system in state |) = ¢1) +l¢2)+l¢3) expressed in terms of the orthonormal eigenvectors {|Øn}} of operator, Q, where its spectrum of allowed measured values is given by Qn = n². If many different experiments were performed, what is the expected average outcome of quantity, Q?