CHEM101 Chapter 03a: Radial probability

50 views1 pages
haoyulin0814 and 39963 others unlocked
CHEM101 Full Course Notes
77
CHEM101 Full Course Notes
Verified Note
77 documents

Document Summary

The following notes show you how to derive the radial probability formula 24 r2dr. It is for your reference and will not be tested in exams. To find the radial probability distribution function of electrons within a volume at a distance, r from nucleus to a distance of r + dr. We need to determine the volume of the coloured layer first. = (r3 + 3r2dr + 3rdr2 + dr3) - r3. The volume of the coloured layer = (r + dr)3 - r3. Since dr is very small, we may neglect 3rdr2 and dr3. The volume of the coloured layer = r3 + 4 r2dr - r3. The sum of electron within a spherical layer is: