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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

50.1K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
50.1K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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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.
57.3K
Ladder Diagrams: Complexation Equilibria01:07

Ladder Diagrams: Complexation Equilibria

633
Ladder diagrams are useful for evaluating equilibria involving metal-ligand complexes. The vertical scale of the ladder diagram represents the concentration of unreacted or free ligand, pL. The horizontal lines on the scale depict the log of stepwise formation constants for metal-ligand complexes and indicate the dominant species in all the regions.
The formation constant, K1, for the formation of Cd(NH3)2+ complex from cadmium and ammonia is 3.55 × 102. Log K1 (i.e. pNH3) is 2.55, and...
633
Intrinsically Disordered Proteins02:18

Intrinsically Disordered Proteins

19.5K
Intrinsically disordered proteins are a group of proteins that do not fold into specific three-dimensional structures. Their structural flexibility allows them to complement ordered proteins to perform functions that are inaccessible to rigid structures. They are more common in eukaryotes than prokaryotes and may either be exclusively intrinsically disordered or hybrid proteins, consisting of a mix of ordered and disordered regions. The absence of a rigid structure in these proteins can be...
19.5K
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

3.2K
The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
3.2K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.5K
Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
1.5K

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Mapping the Structure-Function Relationships of Disordered Oncogenic Transcription Factors Using Transcriptomic Analysis
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Dynamic Structure Factor of Disordered Quantum Spin Ladders.

Max Hörmann1, Paul Wunderlich1, K P Schmidt1

  • 1Institute for Theoretical Physics, FAU Erlangen-Nürnberg, 91058 Erlangen, Germany.

Physical Review Letters
|November 3, 2018
PubMed
Summary
This summary is machine-generated.

Quenched disorder significantly alters quantum spin ladders, affecting quasiparticles and bound states. These changes create unique quantum structures in dynamical correlations, observable via spectroscopy.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism

Background:

  • Two-leg quantum spin ladders are key models in condensed matter physics.
  • Understanding the effects of disorder is crucial for realistic material properties.

Purpose of the Study:

  • Investigate the impact of quenched disorder on the dynamic structure factor.
  • Analyze effects on quasiparticles, bound states, and continua in quantum spin ladders.

Main Methods:

  • Linked-cluster expansions
  • Bond-operator mean-field theory

Main Results:

  • Observed significant effects of quenched disorder on individual quasiparticles.
  • Identified substantial impacts on composite bound states and two-quasiparticle continua.
  • Revealed intriguing quantum structures in dynamical correlation functions.

Conclusions:

  • Quenched disorder introduces complex quantum structures in spin ladder dynamics.
  • These structures are potentially observable in spectroscopic experiments.