Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 22P
To determine
The total mechanical energy for a ground state electron in
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What is the total mechanical energy for a ground-
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What is the total mechanical energy for a groundstate electron in H, He+, and Li++ atoms? For which atom is the electron most strongly bound? Why?
Chapter 4 Solutions
Modern Physics for Scientists and Engineers
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - What fraction of 5-MeV α particles will be...Ch. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61P
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- Determine all the allowed electron transitions for the hydrogen atom involving only the lowest 5 energy levels. [Ignore electron spin.] a. Explicitly note the number of possible transitions. [For parts b and c, the atom is in an external magnetic field of 2.2T. Find numerical values.] b. C. Determine AE for the transition with the lowest energy change. Determine AE for the transition with the highest energy change.arrow_forwardwhere ?∞ = 1.097 × 10^7 m−1is the Rydberg constant and ? is the atomic number (thenumber of protons found in the nucleus). Calculate the ground state energy of a triplyionised beryllium atom, Be3+ (a beryllium atom with three electrons removed).arrow_forwardSuppose that an atom has (a) 4, (b) 5 electrons in different orbitals. What are the possible values of the total spin quantum number S? What is the multiplicity in each case.arrow_forward
- A hydrogen atom in an excited 5f state is in a magnetic fi eld of 3.00 T. How many energy states can the electron have in the 5f subshell? (Ignore the magnetic spin effects.) What is the energy of the 5f state in the absence of a magnetic fi eld? What will be the energy of each state in the magnetic field?arrow_forward1. a. What is the total number of orbitals associated with the principal quantum number n=1? b. What is the total number of orbitals associated with the principal quantum number n=2? c. What is the total number of orbitals associated with the principal quantum number n=3?| d. What conclusion can be drawn from total number of orbitals associated with a given principal quantum number? 2. List the values of n, {, m, for an orbital in the 4d subshell.arrow_forwarda) 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 = 2n² Eh, 1Eh = 27.2114eV = 2625.500kJ/mol = 4.35974394-10-18 Jarrow_forward
- If the zirconium atom ground state has S= 1 and L = 3, what are the permissible values of J? Write the spectroscopic notation for these possible values of S, L, and J. Which one of these is likely to represent the ground state?arrow_forwardLet's count how many possible states there are for a hydrogen atom with a given principal quantum number and orbital quantum number. Specifically, we list the different 4 f states of the hydrogen atom. Remember that all of the states in our list will have the same energy. Chow Transcribed Text How many 5g states does the hydrogen atom have? VE ΑΣΦ 1957 ΑΣΦ How many 5h states does the hydrogen atom have? ? ?arrow_forwardThe lifetime of the 4P1/2 state of potassium is 27.3 ns.What are the Einstein A and B coefficients for the transition? What is the transition dipole moment in debye?arrow_forward
- How many electrons can occupy the system with l=0, l=2 and l=4. What is number of possibleorientations of the orbital angular momentum with l=4? What is the smallest z-component of theorbital angular momentum?arrow_forwardWe want to look at the angular momentum structure of one electronic level of an atom. a. The atom has orbital angular momentum L, electron spin angular momentum S and nuclear angular momentum I. For very large magnetic fields B, what are the quantum numbers and energies? b. In addition to the static B field along the z axis, we add a transverse oscillating magnetic field. Which states are now coupled by the oscillating field, i.e. between which states are transitions induced?arrow_forwardA hydrogen atom has energy -1.36 × 10-19 J, and the electron can be in any one of ten different quantum states. Find the spectroscopic notation for this atom.what is the principal quantum number? What is total orbital angular momentum? What is maximum z. Direction total angular momentum? What is degeneracy ?arrow_forward
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