P9C.1 Familiarity with the magnitudes of overlap integrals is useful when con- sidering bonding abilities of atoms, and hydrogenic orbitals give an indication of their values. (a) The overlap integral between two hydrogenic 2s orbitals is

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p9C.1 Familiarity with the magnitudes of overlap integrals is useful when con-
sidering bonding abilities of atoms, and hydrogenic orbitals give an indication
of their values. (a) The overlap integral between two hydrogenic 2s orbitals is
1 ( ZR
ZR
+.
2а, " 12 а,
1
+
ZR
240 a,
-ZR/Z0
S(2s, 2s)={1+
Plot this expression. (b) For what internuclear distance is S(2s,2s) = 0.50?
(c) The side-by-side overlap of two 2p orbitals of atoms of atomic number Z is
ZR
1 ( ZR
ZR
S(2p,2p) ={1+
10 a,
2a,
120
a.
Plot this expression. (d) Evaluate S(2s,2p) at the internuclear distance you
calculated in part (b).
Transcribed Image Text:p9C.1 Familiarity with the magnitudes of overlap integrals is useful when con- sidering bonding abilities of atoms, and hydrogenic orbitals give an indication of their values. (a) The overlap integral between two hydrogenic 2s orbitals is 1 ( ZR ZR +. 2а, " 12 а, 1 + ZR 240 a, -ZR/Z0 S(2s, 2s)={1+ Plot this expression. (b) For what internuclear distance is S(2s,2s) = 0.50? (c) The side-by-side overlap of two 2p orbitals of atoms of atomic number Z is ZR 1 ( ZR ZR S(2p,2p) ={1+ 10 a, 2a, 120 a. Plot this expression. (d) Evaluate S(2s,2p) at the internuclear distance you calculated in part (b).
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