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Structure of Atom

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The wave function,ψn,l,mlis a mathematical function whose value depends upon spherical polar coordinates (r,θ,φ) of the electron and characterized by the quantum numbersn,landml. Hereris distance from nucleus,θis colatitude andφis azimuth. In the mathematical functions given in the Table,Zis atomic number andaois Bohr radius.

Column 1 Column 2 Column 3
(I) 1s orbital (i) ψn,l,ml∝(
Z
a0
)
3
2
e−(
zx
a0
)
(II) 2s orbital (ii) One radial node (Q) Probability density at nucleus ∝
1
a03
(III) 2pz orbital (iii) ψn,l,ml∝(
Z
a0
)
3
2
re−(
zx
a0
)cosθ 		(R) Probability density is maximum at nucleus
(IV) 3dz2 orbital (iv) xy-plane is a nodal plane (S) Energy needed to excite electron from n=2 state to n=4 state is
27
32
 times the energy needed to excite electron from n=2 state to n=6 state
Section: Chemistry
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