What angle does the orbital angular momentum make with the z-axis of a hydrogen atom in the state n = 3, € = 2, me = -1? %3D O 114° O 24° O 66° O -66° O 73°
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- In the Balmer series, for the Hydrogen atom, a weak transition is observed at 397nm. the value of the same transition for the Li2+ ion would correspond to an energy value of: a) 28.1 eV, b) 122.4 eV, c) 2.5 eV, d) 13.3eV, e) 119.9 eV-7 For hydrogen atom electron, with Spin , in the state a -A(), Determine A, , of Sx, Sy,S2 13217水 and with spin State x く>,くら、?,くら,>, andRecall for an the hydrogenic (single electron) atom 2s (r) = 2,0,0 (r, 0, 4) Φ2p (r) = Φ2,1,0 (r,θ, φ) - = 2p (7) = 2p_ (F) = 2,1,1 (r, 0, 6): = 2,1,-1 (r, 0,6) 1 4√2π/² p 1 3/2 ao 4√/2πа = 2 δεν παρ Tº 3/2 ao 8√πа 3/2 ao 1) e-r/2² ao e ○ (02s (71)2p, (72) + O2p. (71)02s (72)) O 02s (1) 2po (2) ○(28 (71)2p, (72) – $2p. (71)¢2s (72)) O 02s (1)02s (F2) T -T 12a0 •/200 cos 0, /2ao sin 0 etic. r/2ao sin 0 e-iç Consider the helium atom (two electron system). Suppose the spin part is one of the triplet. Which of the following can be a possible space part?Consider the atom having the electron configuration 1s2 2s2 2p6 3s2. Assume that the z components of both the orbital abd spin angular momenta of the electron in the 3p subshell are positive. What are the quantum numbers that describe the state of this electron. n=3 l=1 m=-1 s=1/2n=3 l=1 m=2 s=1/2n=3 l=2 m=1 s=1/2n=3 l=1 m=1 s=1/2n=3 l=2 m=2 s=-1/2 Can we say which one is correct?Schematic of the n=3 → n=2 transitions that may occur when a hydrogen atom is placed in a magnetic field B. Ignore the effect of electron spin.Calculate the number of angles that L can make with the z-axis for an l=3 electron.(a) What is the magnitude of the orbital angular momentum in a state with e = 2? (b) What is the magnitude of its largest projection on an imposed axis? (a) Number 2.50998008 Units J.s (b) Number 2.11 Units J.sAn electron occupying the n = 6 shell of an atom carries z-component orbital angular momentum = (–2) × h/2π. Given that the electron’s total orbital angular momentum is x × h/2π, what is the minimum possible value of number x(remember to use the scientific notation)?(a) How many angles can L make with the z -axis for an l = 2 electron? (b) Calculate the value of the smallest angle.