PHYSICS / CHEMISTRY
hi. i'm studing basic wavefunction.
but i don't know the solution of second picture's question.
first picture is main example, and second one is what i want to solve.
please anybody teach me how those answeres are came out..
thx
Physics Chemistry Hi I M Studing Basic Wavefunction But I Don T Know The Solution Of Second Picture S Question Firs 1 (47.24 KiB) Viewed 29 times
Physics Chemistry Hi I M Studing Basic Wavefunction But I Don T Know The Solution Of Second Picture S Question Firs 2 (33.75 KiB) Viewed 29 times
The radial nodes of the Top? wavefunction Consider an electron in a hydrogen atom with n=2, 1=0, mi=0. Because the radial wavefunction R2,0 (2-p) (see Table 17.1), the radial node is found at p=2. Using eqns 17.8 and 17.9, we find, with Z=1 and n=2, 4360 h P = 23r Me² = 2a 4ILEG? пар r= 2Z a. Me e² Therefore, there is zero probability of finding the electron in a small volume element at a distance 105.8 pm from the nucleus in the hydrogen atom.
Table 17.1 Hydrogenic radial wavefunctions 11 RI 1 0 1 3/2 2 e 2/2 2 0 3/2 1 Z 31/2a (2-P)e-P2 2 1 3/2 z (972 (2) ()* 241/2 Pe 2/2 a 3 0 3/2 z 1 2431/ 2a (6-6p+pe-p/2 ير 3 1 1 Z 4861/ 2a 3/2 (4-p) pe-p/2 3 2 3/2 z 1 243012 a (7) pema p-e-p2 p=(2Z/na)r with a=418, lue. For an infinitely heavy nucleus (or one that may be assumed to be), u=m and a=a, the Bohr radius. what i want to know Find the radial nodes for an electron in Li2+ ion with n=3,1=0, m=0. Answer: (331/3)a,/2, 125 and 33.5 pm Why?
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