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
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F375aff5a-e2fa-4723-996e-4df6110bf7e1%2F913e75e8-a6eb-4faf-b8b7-879c5923d3d4%2Fjxa7sboh_processed.png&w=3840&q=75)
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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