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Properties of Transition Metals02:58

Properties of Transition Metals

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Transition metals are defined as those elements that have partially filled d orbitals. As shown in Figure 1, the d-block elements in groups 3–12 are transition elements. The f-block elements, also called inner transition metals (the lanthanides and actinides), also meet this criterion because the d orbital is partially occupied before the f orbitals.
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A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
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The representation of magnetic fields by magnetic field lines is very useful in visualizing the strength and direction of the magnetic field. Each of the magnetic field lines forms a closed loop. The field lines emerge from the north pole (N), loop around to the south pole (S), and continue through the bar magnet back to the north pole.
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If a magnetic field is sustained, there must be a current in a closed circuit or loop, implying some energy has been spent in creating the field. If this energy is not dissipated via the circuit's resistance, it is stored in the field.
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The number of nuclear spins aligned in the lower energy state is slightly greater than those in the higher energy state. In the presence of an external magnetic field, as the spins precess at the Larmor frequency, the excess population results in a net magnetization oriented along the z axis. When a pulse or a short burst of radio waves at the Larmor frequency is applied along the x axis, the coupling of frequencies causes resonance and flips the nuclear spins of the excess population from the...
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Localization Transition for Light Scattering by Cold Atoms in an External Magnetic Field.

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Summary
This summary is machine-generated.

Light localization occurs in a dense atomic system, exhibiting Anderson localization. This transition happens above a critical atom density and is classified within the 3D orthogonal universality class.

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Area of Science:

  • Quantum optics
  • Condensed matter physics
  • Atomic physics

Background:

  • Light propagation in disordered media can exhibit localization phenomena.
  • Anderson localization describes the coherent backscattering of waves in random potentials.
  • Atomic ensembles provide a tunable system for studying wave localization.

Purpose of the Study:

  • To establish a localization phase diagram for light in a random 3D atomic ensemble.
  • To investigate the critical behavior and universality class of light localization.
  • To determine the critical atom density for the onset of localization.

Main Methods:

  • Theoretical modeling of light interaction with a 3D ensemble of two-level atoms.
  • Inclusion of a threefold degenerate upper level and a strong static magnetic field.
  • Analysis of the spectral band and critical exponents of the localization transition.

Main Results:

  • A localization phase diagram was established for light in the atomic ensemble.
  • Localized modes appear in a narrow spectral band above a critical atom density (ρc ≃ 0.1k0³).
  • The critical exponent ν = 1.57±0.07 was estimated, classifying the transition as Anderson localization of the 3D orthogonal universality class.

Conclusions:

  • The study provides a comprehensive phase diagram for light localization in this system.
  • The observed Anderson localization belongs to the 3D orthogonal universality class.
  • The findings contribute to understanding wave localization in disordered quantum systems.