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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

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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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