3502_12_octo07_LG.2

3502_12_octo07_LG.2 - 12-6 The Initial Spherical HarmonicsComplex form Real(spherical form Real(cartesian form Nomenclature<L2><Lz>

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Unformatted text preview: 12-6 The Initial Spherical HarmonicsComplex form Real (spherical) form Real (cartesian) form Nomenclature <L2> <Lz> 14!"#$%&’1/214!"#$%&’1/214!"#$%&’1/2Y0,0; s0 0 38!"#$%&’1/2sin(e)i*Y1,–1; p–12h2!h34!"#$%&’1/2sin(sin)34!"#$%&’1/2yrY1,sinφ; py2h2a 34!"#$%&’1/2cos(34!"#$%&’1/2cos(34!"#$%&’1/2zrY1,0; p; pz2h20 34!"#$%&’1/2sin(cos)34!"#$%&’1/2xrY1,cosφ; px2h2a 38!"#$%&’1/2sin(ei)Y1,1; p12h2h1532!"#$%&’1/ 2sin2(e)2i*Y2,–2; d–26h2!2h15¡!"#$%&’1/2sin2(sin 2)154!"#$%&’1/2xyr2Y2,sin2φ; dxy6h2a 158!"#$%&’1/2sin(cos(e)i*Y2,–1; d–16h2!h12-7 154!"#$%&’1/2sin(cos(sin)154!"#$%&’1/2yzr2Y2,sinφ; dyz6h2a 516!"#$%&’1/ 23cos2( )1( )516!"#$%&’1/ 23cos2( )1( )516!"#$%&’1/ 23z2r2(1"#$$%&’’Y2,0; d; dz26h20 154!"#$%&’1/2sin(cos(cos)154!"#$%&’1/2xzr2Y2,cosφ; dxz6h2a 158!"#$%&’1/2sin(cos(ei)Y2,1; d16h2h154!"#$%&’1/2sin2(cos2)1516!"#$%&’1/ 2x2(y2r2Y2,cos2φ; dx2–y26h2a 1532!...
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This note was uploaded on 12/14/2010 for the course CHEM 3502 taught by Professor Staff during the Spring '08 term at Minnesota.

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3502_12_octo07_LG.2 - 12-6 The Initial Spherical HarmonicsComplex form Real(spherical form Real(cartesian form Nomenclature<L2><Lz>

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