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EXAMPLE 1.4 Interpreting radial distribution functions Figure 1.12 shows the radial distribution functions for 2s and 2p hydrogenic orbitals. Which orbital gives the electron a greater probability of close approach to the nucleus? Answer By examining Figure 1.12 we can see that the radial distribution function of a 2p orbital approaches zero near the nucleus faster than a 2s electron does. This difference is a consequence of the fact that a 2p orbital has zero amplitude at the nucleus on account of its orbital angular momentum.The 2s electron has a greater probability of close approach to the nucleus, indicated by the inner maximum. Self-test 1.4 Which orbital, 3p or 3d, gives an electron a greater probability of being found close to the nucleus? (g) The angular variation of atomic orbitals Key points: The boundary surface of an orbital indicates the region of space within which the electron Radial distribution function, FR² O 2p 2s Radius, Zrla 15

EXAMPLE 1.4 Interpreting radial distribution functions Figure 1.12 shows the radial distribution functions for 2s and 2p hydrogenic orbitals. Which orbital gives the electron a greater probability of close approach to the nucleus? Answer By examining Figure 1.12 we can see that the radial distribution function of a 2p orbital approaches zero near the nucleus faster than a 2s electron does. This difference is a consequence of the fact that a 2p orbital has zero amplitude at the nucleus on account of its orbital angular momentum.The 2s electron has a greater probability of close approach to the nucleus, indicated by the inner maximum. Self-test 1.4 Which orbital, 3p or 3d, gives an electron a greater probability of being found close to the nucleus? (g) The angular variation of atomic orbitals Key points: The boundary surface of an orbital indicates the region of space within which the electron Radial distribution function, FR² O 2p 2s Radius, Zrla 15

Principles of Modern Chemistry
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter5: Quantum Mechanics And Atomic Structure
Section: Chapter Questions
Problem 48AP: The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is (r)=(...
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EXAMPLE 1.4 Interpreting radial distribution functions Figure 1.12 shows the radial distribution functions for 2s and 2p hydrogenic orbitals. Which orbital gives the electron a greater probability of close approach to the nucleus? Answer By examining Figure 1.12 we can see that the radial distribution function of a 2p orbital approaches zero near the nucleus faster than a 2s electron does. This difference is a consequence of the fact that a 2p orbital has zero amplitude at the nucleus on account of its orbital angular momentum.The 2s electron has a greater probability of close approach to the nucleus, indicated by the inner maximum. Self-test 1.4 Which orbital, 3p or 3d, gives an electron a greater probability of being found close to the nucleus? (g) The angular variation of atomic orbitals Key points: The boundary surface of an orbital indicates the region of space within which the electron Radial distribution function, R² 0 A 2s Radius, Zrla 15
Transcribed Image Text:EXAMPLE 1.4 Interpreting radial distribution functions Figure 1.12 shows the radial distribution functions for 2s and 2p hydrogenic orbitals. Which orbital gives the electron a greater probability of close approach to the nucleus? Answer By examining Figure 1.12 we can see that the radial distribution function of a 2p orbital approaches zero near the nucleus faster than a 2s electron does. This difference is a consequence of the fact that a 2p orbital has zero amplitude at the nucleus on account of its orbital angular momentum.The 2s electron has a greater probability of close approach to the nucleus, indicated by the inner maximum. Self-test 1.4 Which orbital, 3p or 3d, gives an electron a greater probability of being found close to the nucleus? (g) The angular variation of atomic orbitals Key points: The boundary surface of an orbital indicates the region of space within which the electron Radial distribution function, R² 0 A 2s Radius, Zrla 15
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