Lecture 16 Notes

Longer good each nucleon contributes to the potential

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: y the n-levels (?) l Spectroscopic notation D (l ) n 1 2 3 D(n) 2 6 18 e 0 s 1 p 2 d 3 f 2 6 10 14 historic structure in shell 2 8 28 6 4 g 5 h 6 i 18 22 26 heavy nuclei ATOMIC PERIODIC TABLE 7 AUFBAU PRINCIPLE The orbitals (or shells) are then given by close-by energy-levels l Spectroscopic notation D (l ) n 1 2 3 D(n) 2 6 18 e 0 s 1 p 2 d 3 f 2 6 10 14 historic structure in shell 2 8 28 4 g 5 h 6 i 18 22 26 heavy nuclei 3s+3p form one level with # 10 4s is filled before 3d 8 N uclear Shell Model • Picture of adding particles to an external potential is no longer good: each nucleon contributes to the potential • Still many evidences of a shell structure 9 S eparation Energy -5 4 50 3 1 0 38Ar -1 184W 132Te 14C 4 3 2 1 28 50 20 82 Hf Cd Ni -4 -5 0 Pb Ca -3 8 5 Pt U Kr -2 126 Dy Ce 0 -1 -5 126 8 5 102Mo 86Kr -2 -4 114Ca S2n(MeV) S2p(MeV) 64Ni 82 20 208Pb 2 -3 28 50 100 150 O 0 Nucleon number 25 50 75 100 125 150 Nucleon number PROTON NEUTRON Image by MIT OpenCourseWare. After Krane. 10 (binding energy per nucleon) B/A B/A: JUMPS 9 8 7 6 5 4 3 A 0 50 100 150 200 (Mass number) 250 “Jumps” in Binding energy from experimental data 11 C HART of NUCLIDES (Z/A vs. A) Z/A 0.55 0.50 0.45 0.40 0.35 A 50 100 150 12 200 250 C HART OF NUCLIDES http://www.nndc.bnl.gov/chart/ “Periodic”, more complex properties → nuclear structure © Brookhaven National Laboratory. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse. 13 N UCLEAR POTENTIAL Vp = r 2 ✓ ✓ V0 2 R0 V0 (Z 1)e 3 2R0 ◆ 2 3 (Z 1)e 2 R0 2 ◆ Vn = r 2 ✓ V0 2 R0 ◆ (V0...
View Full Document

Ask a homework question - tutors are online