The effective spin-spin interaction between the electron spin S, and the proton spin S, in the ground state of the Hydrogen atom is given by H' = aS¸ · § „. As a result of this interaction, the energy levels split by an amount 1 (a) (b) 2ah? (c) aħ? 3 ah?
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- Chapter 39, Problem 044 A hydrogen atom in a state having a binding energy (the energy required to remove an electron) of -1.51 eV makes a transition to a state with an excitation energy (the difference between the energy of the state and that of the ground state) of 10.200 eV. (a) What is the energy of the photon emitted as a result of the transition? What are the (b) higher quantum number and (c) lower quantum number of the transition producing this emission? Use -13.60 eV as the binding energy of an electron in the ground state. (a) Number Units (b) Number Units (c) Number Units-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,>, andWhich of the following sets of quantum numbers n, l, and m¡ would be possible for an excited state of hydrogen? (circle yes or no) I. n= 4, 1= 2, mị II. n= 3, 1=2, m¡ = -2 П. п %3D 2, 1%32, т) %3D+1 IV. п %3D17, 1 %3 2, т %3 —2 =-3 Yes/No Yes/No Yes/No Yes/NoHow to solve this questionneon (Ne) has in the same excited state: 18²282p30* 10 electrous. Fou create (Ne) atoms all p৮.dর हहा Hund's ruk apply to each energy level t the meon. eleitrons 1. calculate the spin , orbital and total anqular momenta of f a the cap) level oम (रंर) b. the (ad) fevel.The radial probability density of a hydrogen wavefunction in the 1s state is given by P(r) = |4rr2 (R13 (r))²| and the radial wavefunction R1s (r) = a0 , where ao is 3/2 the Bohr radius. Using the standard integral x"e - ka dx n! calculate the standard deviation in the radial position from the nucleus for the 1s state in the Hydrogen atom. Give your answer in units of the Bohr radius ao.(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.sSuppose you measure the angular momentum in the z-direction L, for an /= 2 hydrogen atom in the state | > 2 > |0 > +i/ |2 >. The eigenvalues of %3D V10 10 Lz are – 2h, -ħ, 0, ħ, 2ħfor the eigenvectors | – 2 >, |– 1>, |0 >, |1 >, |2 >, respectively. What is AL,? V31 10 7 19 25A hydrogen atom is placed in a 2.4 T magnetic field. What are the possible energy values for a 2p electron with and without magnetic field if we dont consider spin?