Answer the following. (a) Write out the electronic configuration of the ground state for boron(Z = 5). O 1522522,2 O 1s225 2p3 O 1:2522p4 O 1,2522,5 O 13252,6 (b) Write out the values for the set of quantum numbers n, e, m, and m, for each of the electrons in boron. (In cases where there are more than one value, enter the positive value first. Enter positive values without a '+' sign in front of them. Include all possible values.) m =| 1s states n = v m = 0 m. = |× Your answer must be a fraction, integer, or exact decimal. ms 2s states n - 12 = 0 m - 0 m = |× X Your answer must be a fraction, integer, or exact decimal. ms m. = X Your answer must be a fraction, integer, or exact decimal. m = L 2p states n - 12 l = 1 X Your answer must be a fraction, integer, or exact decimal. m. m, -+1 X Your answer must be a fraction, integer, or exact decimal.

I need help with the last 3.

Problem 3:   Calculate the energy changes corresponding to the transitions of the hydrogen atom. Give all your answers in eV.  Part (a)  From n = 3 to n = 4.  Part (b)  From n = 2 to n = 1.  Part (c)  From n = 3 to n = ∞.

If we neglect interaction between electrons, the ground state energy of the helium atom is E =2 z2((- e2)/(2ao)) = -108.848eV (Z=2). The true (measured) value is – 79.006eV.Calculate the interaction energy e2/r12 supposing that both electrons are in the 1s state and r12 that the spin wave function is anti-symmetric. What E is the ground state energy?

Compute and compare the electrostatic and gravitational forces in the classical hydrogen atom, assuming a radius 5.3 x 10-11 m.

An electron in a hydrogen atom is approximated by a one-dimensional infinite square well potential. The normalised wavefunction of an electron in a stationary state is defined as *(x) = √√ sin (""). L where n is the principal quantum number and L is the width of the potential. The width of the potential is L = 1 x 10-¹0 m. (a) Explain the meaning of the term normalised wavefunction and why normalisation is important. (b) Use the wavefunction defined above with n = 2 to determine the probability that an electron in the first excited state will be found in the range between x = 0 and x = 1 × 10-¹¹ m. Use an appropriate trigonometric identity to simplify your calculation. (c) Use the time-independent Schrödinger Equation and the wavefunction defined above to find the energies of the first two stationary states. You may assume that the electron is trapped in a potential defined as V(x) = 0 for 0≤x≤L ∞ for elsewhere.

Explain each step

A hypothetical molecule oscillates with a natural frequency of 1.4 × 1013 Hz.  Part (a)  What is the energy difference, in electron volts, between adjacent harmonic oscillator states of the hypothetical molecule?   Part (b)  What is the quantum number of the state of the hypothetical molecule that has an energy of 0.75 eV? Round your answer to the nearest integer.