Wave-Mechanical Model of the Atom
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Questions and Answers

What properties do light possess?

Wave and Particle properties

What did Bohr's model accurately explain?

The odd quantum behaviour of hydrogen.

What did Louis de Broglie propose about electrons?

Electrons exist as matter waves.

All matter has only wave properties.

<p>False (B)</p> Signup and view all the answers

What did Erwin Schrodinger develop to describe the behavior of electrons around the nucleus?

<p>A wave equation.</p> Signup and view all the answers

What are the three quantum numbers required to describe the possible energy states of an electron?

<p>n, l, ml</p> Signup and view all the answers

What do Schrodinger's equations precisely describe?

<p>The energy state of an electron.</p> Signup and view all the answers

What are the three-dimensional regions in space where an electron "may" be found?

<p>Orbitals</p> Signup and view all the answers

According to Werner Heisenberg, what is impossible to determine simultaneously for a single subatomic particle?

<p>The exact position and momentum.</p> Signup and view all the answers

Uncertainty at the atomic scale is due to lack of precision of a measurement.

<p>False (B)</p> Signup and view all the answers

What does Heisenberg's Uncertainty Principle state?

<p>The more precisely the position (x) of a particle is defined, the less precisely the momentum (p=mv) is known.</p> Signup and view all the answers

What do Schrodinger's wave functions actually describe?

<p>Probability distributions (orbitals) for where an electron may be found.</p> Signup and view all the answers

What are orbitals known as?

<p>Shapes</p> Signup and view all the answers

Which principle states that electrons are added to the lowest energy orbitals that are available?

<p>Aufbau Principle (B)</p> Signup and view all the answers

What is the maximum number of electrons that can occupy a single orbital?

<p>2 (B)</p> Signup and view all the answers

What does Hund's Rule state regarding electron repulsion?

<p>Due to electron repulsion, all orbitals of equal energy acquire one electron before any orbital accepts two electrons.</p> Signup and view all the answers

What does the Pauli Exclusion Principle state?

<p>No two electrons can have the same quantum properties.</p> Signup and view all the answers

What is the abbreviated ground state electron configuration for carbon?

<p>[He] 2s² 2p² (A)</p> Signup and view all the answers

What is the abbreviated ground state electron configuration for chlorine?

<p>[Ne] 3s² 3p⁵ (C)</p> Signup and view all the answers

Flashcards

Wave-Mechanical Model of the Atom

A model that describes atoms with wave-particle duality, focusing on electron behavior.

Louis de Broglie

Physicist who proposed that matter, like light, has wave properties.

Matter Waves

Waves associated with particles, such as electrons, emphasizing their wave-like nature.

Quantized Energy Levels

Specific allowed energies for electrons, derived from wave behavior.

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Erwin Schrodinger

Physicist who developed the wave equation to describe electron behavior in atoms.

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Wave Equation

A mathematical description of how electrons behave as waves.

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Orbitals

Three-dimensional regions where electrons may be found within an atom.

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Heisenberg's Uncertainty Principle

States it's impossible to know both the position and momentum of a particle precisely.

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Position and Momentum

Position (x) refers to where a particle is, while momentum (p=mv) is its mass times speed.

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Probability Distribution

The likelihood of finding an electron in a particular region of space.

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Shapes of Orbitals

Different types of orbitals (s, p, d, f) define electron cloud shapes.

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Electron Configuration

The arrangement of electrons in an atom's orbitals based on energy levels.

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Ground State Configurations

The lowest energy arrangement of electrons in an atom.

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Abbreviated Electron Configuration

A shorthand representation of an atom's electron configuration.

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Energy Level Diagram

A visual representation showing the relative energies of different orbitals.

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Multi-Electron Atoms

Atoms with more than one electron, affecting their energy levels and configurations.

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Inter-Electron Repulsion

The repulsive forces between electrons that affect their arrangements.

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Subshells

Groups of orbitals within a principal energy level, defining electron configurations.

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Quantum Numbers

Three numbers (n, l, ml) used to describe the energy states and orbitals of electrons.

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Quantum Mechanical Model

A theoretical framework for understanding electron behavior in atoms using wave functions.

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s Orbital

A spherical orbital type where the probability of finding an electron is evenly distributed.

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p Orbital

A dumbbell-shaped orbital with three orientations, allowing for more complex electron arrangements.

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d Orbital

An orbital type with five lobes, involved in the electron configuration of transition metals.

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f Orbital

An orbital type with seven lobes, found in the lanthanides and actinides.

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Hydrogen Atom

The simplest atom, with one electron in the 1s orbital.

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Radial Probability Distribution

A model that describes how likely it is to find an electron at varying distances from the nucleus.

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Electron Cloud

The region around the nucleus where electrons are likely to be found.

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Quantum Mechanics

A branch of physics that deals with the behavior of particles at atomic and subatomic levels.

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Spectroscopy

The study of the interaction between matter and electromagnetic radiation.

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Study Notes

Wave-Mechanical Model of the Atom

  • Light exhibits both wave and particle properties
  • Bohr's model worked for hydrogen but couldn't predict behaviour of atoms with more than one electron
  • Other physicists developed models to address these limitations

Louis de Broglie (1923)

  • Proposed that electrons exhibit wave-particle duality
  • Developed a mathematical relationship between an object's mass and its wavelength: λ = h/mv
  • Electrons exist at specific distances from the nucleus, corresponding to integer multiples of their wavelength (λ, 2λ, 3λ, etc.)
  • All matter exhibits wave-like properties, more significant for low-mass particles like electrons

Erwin Schrödinger (1925)

  • Used de Broglie's hypothesis to develop a wave equation to describe electron behaviour around the nucleus
  • Certain quantized solutions to the equation are possible, corresponding to specific energy levels
  • Describing electron behaviour requires three quantum numbers (n, l, ml)
  • Schrödinger's equation describes electron energy states but not precise location
  • Probability distributions ("orbitals") represent regions where an electron likely is located

Werner Heisenberg and The Uncertainty Principle (1927)

  • It's impossible to simultaneously know precise position and momentum of a subatomic particle (ΔxΔp ≥ h/4π)
  • Uncertainty is a fundamental property of the atomic scale, not a measurement limitation

Orbitals

  • Probability distributions describing electron location around the nucleus
  • Orbital shapes (s, p, d, f) are given by letters; s has 1 orbital, p has 3 orbitals, d has 5, and f has 7
  • The first four energy levels of hydrogen contain specific orbitals with different shapes
  • Electrons fill orbitals following specific rules (Aufbau, Hund's, Pauli Exclusion)
  • The first energy level (n=1) contains the 1s orbital
  • Electrons fill orbitals of lowest energy first

Multi-Electron Atoms and Ions

  • Inter-electron repulsion affects energy levels of orbitals in atoms with more than one electron
  • Energy level diagrams show relative orbital energies in the periodic table
  • Rules for assigning electrons to orbitals:
    • Electrons fill the lowest energy orbitals first (Aufbau Principle)
    • Orbitals can hold a maximum of two electrons (with opposite spins)
    • If orbitals have same energy, each will fill individually before doubling (Hund's rule, maximizing total spin)
    • No two electrons can have same set of quantum numbers (Pauli Exclusion Principle)

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Explore the wave-mechanical model of the atom, addressing the limitations of Bohr's model. Learn about Louis de Broglie's wave-particle duality and Erwin Schrödinger's wave equation. Understand how quantum numbers describe electron behavior around the nucleus.

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