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Module 8: From the Universe to the Atom

Quick questions on Schrodinger's wavefunction and atomic orbitals: HSC Physics Module 8

6short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the Schrodinger equation?
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In 1926 Erwin Schrodinger proposed a wave equation governing the de Broglie matter wave of a particle in a potential VV. For a stationary state of definite energy EE, the time-independent Schrodinger equation reads:
What is born's rule?
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Max Born (1926) gave the wavefunction its physical interpretation. ψ\psi itself is complex and not directly measurable. The measurable quantity is:
What is comparison with the Bohr model?
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Bohr's success in hydrogen is recovered exactly: same energy levels and same Rydberg formula. But Schrodinger's model also explains why 2s2s and 2p2p exist as different angular shapes, predicts the ordering and filling of subshells, gives the chemical periodicity, and underlies essentially all of atomic, molecular and solid-state physics.
What is q1?
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Name the four quantum numbers used to label an atomic orbital and state what each represents. [4 marks]
What is q2?
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State the Born interpretation of the wavefunction ψ\psi. [2 marks]
What is q3?
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Compare Bohr's model with Schrodinger's quantum-mechanical model of the atom. (a) State one similarity. (b) State two differences.

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