Lattice

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0.1Table of Spherical HarmonicsEZF3

Table of Spherical Harmoincs
\[Y_{0,0} = \frac{1}{\sqrt{4\pi}}\]\[Y_{1,1} = -\sqrt{\frac{3}{8\pi}}\sin\theta\ e^{i\phi}\]\[Y_{1,0} = \sqrt{\frac{3}{4\pi}}\cos\theta\]\[Y_{2,2} = \frac{1}{4}\sqrt{\frac{15}{2\pi}} \sin^2\theta\ e^{2i\phi}\]\[Y_{2,1} = -\sqrt{\frac{15}{8\pi}}\sin\theta\cos\theta\ e^{i\phi}\]\[Y_{2,0} = \sqrt{\frac{5}{4\pi}}\left(\frac{3}{2}\cos^2\theta - \frac{1}{2}\right)\]