a) Calculate the excitation energies for the 1s→ 3p electron transition for the H-atom and for the He+-ion. Calculate the energy values in joules. b) What is the ionization energy (in eV) of H-atom in the 4d-state? Note: En = Z² En 1Eh=27.2114eV = 2625.500kJ/mol = 4.35974394-10-18 J 2n² 3
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- An electron undergoes a transition from the 3rd energy level to the 1st energy level in a hydrogen atom. The wavelength of the radiation associated with this transition is a.bc x 10* d m. Record abcd. Selected Energy Levels for Hydrogen -0.544 eV -0.850 eV -1.51 eV -3.40 eV N=4 N=3 N=2 -13.6 eVThe energy levels of hydrogen atom (including fine structure term ) takes the following form a? 1+ 13.6ev п 3 E j+1/2 4 n° Write down the energy levels for the state n=3Question 9. While most transition metals have work functions corresponding to photon frequencies that are larger (higher) than visible light, alkali and alkaline earth metals have low-energy work functions. For example, calcium has a work function of o = 4.3419×10-19 J. (a) What is the initial state n, for the hydrogen emission lines at visible wavelengths (i.e., those with n = 2) for the lowest-energy photon that would eject an electron from calcium? %3! (b) If the colors of the visible hydrogen emission lines (n; = 3 to n = 6) are red, green, blue and %3D violet, which colors are capable of ejecting the electrons from calcium? (c) The energy of the emitted photon you identified in part (a), is not identical to the workfunction of calcium. Therefore, the electron is ejected from the metal surface with some kinetic energy (i.e., energy is conserved in the photoelectric effect process). What would the velocity of the electron ejected from calcium (in meters per second)?
- For what energy levels in the hydrogen atom will we not find l 2 states? =A photon can excite a hydrogen atom makes a from the n = (2.0000x10^0) state to the n = (8.00x10^0) state, what is the energy of this photon? Give your answer in the unit if eV with 3 s.f. %3D %3D Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: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
- 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 UnitsConsider the energy levels of the Hydrogen atom. The allowed H-atom energy levels are given by the equation: En - 13.6 eV n² What is the energy gap between the two lowest energy levels in the Hydrogen atom? 10.2 eV 6.40 eV 12.1 eV 13.6 eV 3.40 eVAnswer 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 =
- Hydrogen gas can be placed inside a strong magnetic field B=12T. The energy of 1s electron in hydrogen atom is 13.6 eV ( 1eV= 1.6*10 J ). a) What is a wavelength of radiation corresponding to a transition between 2p and 1s levels when magnetic field is zero? b) What is a magnetic moment of the atom with its electron initially in s state and in p state? c) What is the wavelength change for the transition from p- to s- if magnetic field is turned on?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?