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The Quantum-Mechanical Model of an Atom02:45

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.
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The Uncertainty Principle04:08

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Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
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Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as the...
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The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
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Area of Science:

  • Quantum Biology
  • Photosynthesis Research
  • Energy Transfer Mechanisms

Background:

  • Photosynthesis operates with high efficiency, approaching theoretical quantum limits.
  • A hypothesis suggested quantum coherences direct energy transfer in photosynthesis.
  • This hypothesis was based on interpreting oscillations in photosynthetic complex spectra.

Purpose of the Study:

  • To reexamine the role of quantum coherences in photosynthetic energy transfer.
  • To investigate the origin of observed long-lived coherences in photosynthetic complexes.
  • To understand the quantum aspects of energy dissipation in nature.

Main Methods:

  • Analysis of recent research reexamining quantum coherence claims.
  • Interpretation of two-dimensional electronic spectra of photosynthetic complexes.
  • Femtosecond spectroscopy to observe vibrations and coherences.

Main Results:

  • Interexciton coherences are too short-lived for functional significance in energy transfer.
  • Observed long-lived coherences stem from impulsively excited vibrations.
  • Quantum effects in dissipation are better understood.

Conclusions:

  • Nature exploits dissipation by engineering exciton-bath interactions for efficient energy flow.
  • Quantum coherences are not the primary drivers of energy transfer in photosynthesis.
  • Vibrational coherences, not electronic ones, are responsible for observed spectral oscillations.