Show that if the original atomic orbitals are orthonormal, then the linear combinations of (1.11.3) are also

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Show that if the original atomic orbitals are orthonormal, then the linear combinations of (1.11.3) are also orthonormal.

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Solid State Physics Essential Concepts

ISBN: 9781107191983

2nd Edition

Authors: David W. Snoke

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Question Posted: Aug 12, 2023 08:18 AM

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Show that if the original atomic orbitals are orthonormal, then the linear combinations of (1.11.3) are also

Question:

V/1 = ½ (Þs + Þx + Þy+Þz) [111] V/₂ = 1/2 (0₁ + 0 x - Øy-0₂) [111] V3 = 1/2 (0s - Qx + Øy [īlī] [111]. - dx + Þy - 0₂) V4 = ½ (0s - Ox - Þy + ₂). Þx (1.11.3)

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The inner products of the four vectors are 1 V1V2 s z y z 8 x y z 4 1 1...View the full answer

Solid State Physics Essential Concepts

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