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17 Nov 2019
where R represents probability to find electron at any POINT from nucleus. The number of radial nodes, where R 0, is given by n--1 (excluding distance r = 0) All other wavefunctions (p,d,f...) all start from zero (node at centre of nucleus) 6.0 Note: s-functions start at a non-zero positive R value 5.0 .s-functions ignore small finite size of nucleus& treat nucleus as point charge...(see below) 4.0 nearly zero probability inside nucleus. 3.0 2p 3p 0.5 2.0 0.0 2s 00 1.0 2.0 3.0 4.05.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 3s Distance from nucleus (A) 0.0 R 0.5 3d 00 1.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 0.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 1.0 Distance from nucleus (A) Distance from nucleus (A) Link to nuclear chem.: s-orbitals DO penetrate nucleus > k-capture possible! 1s orbitals of heavier elements very compact probability of k-capture increases
where R represents probability to find electron at any POINT from nucleus. The number of radial nodes, where R 0, is given by n--1 (excluding distance r = 0) All other wavefunctions (p,d,f...) all start from zero (node at centre of nucleus) 6.0 Note: s-functions start at a non-zero positive R value 5.0 .s-functions ignore small finite size of nucleus& treat nucleus as point charge...(see below) 4.0 nearly zero probability inside nucleus. 3.0 2p 3p 0.5 2.0 0.0 2s 00 1.0 2.0 3.0 4.05.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 3s Distance from nucleus (A) 0.0 R 0.5 3d 00 1.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 0.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 1.0 Distance from nucleus (A) Distance from nucleus (A) Link to nuclear chem.: s-orbitals DO penetrate nucleus > k-capture possible! 1s orbitals of heavier elements very compact probability of k-capture increases
Lelia LubowitzLv2
5 Feb 2019