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Quantum Chemistry Basics

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De Broglie Hypothesis

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Suggests that particles have wave-like properties, with wavelength given by

λ=hp\lambda = \frac{h}{p}
, where hh is Planck's constant and pp is the momentum. This is foundational for the concept of matter waves.

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Quantum Coherence

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Phenomenon where a single quantum state is maintained over a period of time, crucial for quantum computing and superconductivity.

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Quantum Superposition

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Principle that a quantum system can be in multiple states at once until it is observed. Crucial for quantum computing and interference phenomena.

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Energy Quantization

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Electrons in atoms have quantized energy levels rather than a continuous range. It explains atomic spectra and chemical behavior.

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Wave-Particle Duality

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Particle-like behavior of waves and wave-like behavior of particles. Fundamental concept of quantum mechanics that has significant implications for understanding the behavior of electrons in atoms.

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Quantum Tunneling

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A quantum phenomenon where particles pass through a barrier that they classically couldn't, significant in nuclear fusion and semiconductor physics.

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Quantum Entanglement

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A quantum mechanical phenomenon where particles become connected, such that the state of one instantaneously affects the state of another, regardless of distance between them.

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Planck's Constant

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A fundamental constant of nature that sets the scale of quantum effects with the value 6.62607015×1034m2kg/s6.62607015 \times 10^{-34} \text{m}^2\text{kg/s}. It is crucial in the quantization of energy levels.

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Pauli Exclusion Principle

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A principle in quantum mechanics that no two electrons in an atom can have the same set of quantum numbers, explaining the structure of the periodic table and chemical bonding.

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Schrodinger Equation

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A mathematical equation that describes how the quantum state of a quantum system changes with time. It's central to quantum mechanics.

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Born Rule

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A postulate of quantum mechanics that gives the probability that a measurement on a quantum system will yield a particular result. It states that this probability is proportional to the square of the amplitude of the wavefunction.

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Quantum Decoherence

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The loss of quantum coherence, typically due to interaction with the environment. It explains the transition from quantum to classical behavior and is a challenge for quantum computing.

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Quantum Numbers

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Set of numbers that describe the unique quantum state of an electron in an atom. They include the principal number nn, angular momentum ll, magnetic number mlm_l, and spin number msm_s.

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Wavefunction

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A mathematical function that describes the quantum state of a system. The square of its absolute value represents the probability density of finding a particle at a certain location.

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Heisenberg Uncertainty Principle

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States that it is not possible to simultaneously know the exact position and momentum of a particle. It represents a fundamental limit on the precision of measurements.

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