(a) The doubly charged ion N2+ is formed by removing two electrons from a nitrogen atom. What is the ground-state electron configuration for the N2+ ion? (b) Estimate the energy of the least strongly bound level in the L shell of N2+. (c) The doubly charged ion P2+ is formed by removing two electrons from a phosphorus atom. What is the ground-state electron configuration for the P2+ ion? (d) Estimate the energy of the least strongly bound level in the M shell of P2+

For a ground state Cd atom (Z = 48), how many electrons in total have an angular quantum number ℓ = 0 ?

(a) How many angles can L make with the z -axis for an l = 2 electron? (b) Calculate the value of the smallest angle.

Answer the following. (a) Write out the electronic configuration of the ground state for nitrogen (Z = 7). 1s22s22p11s22s22p2    1s22s22p31s22s22p41s22s22p51s22s22p6 (b) Write out the values for the set of quantum numbers n, ℓ, m, and ms for each of the electrons in nitrogen. (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.) 1s states n =   ℓ =   m =   ms =   ms =   2s states n =   ℓ =   m =   ms =   ms =   2p states n =   ℓ =   m =   ms =   ms =   m =   ms =   ms =   m =   ms =   ms =

How many different possible states can there be for an atom with n =5 and l = 1 ?

Consider a two-electron spin system in a singlet state. a. If a measurement of one of the electrons shows that it is in a state with sz = 1/2, what is the probability of obtaining another state with sz= +1/2? b. If a measurement of one of the electrons shows that it is in a state with sx = 1/2, what is the probability of obtaining another state with sy = +1/2?