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Related Concept Videos

Summation Notation01:25

Summation Notation

Sigma notation, also known as summation notation, provides a concise method for representing the sum of a sequence of terms that follow a regular pattern. It utilizes the uppercase Greek letter sigma (∑), A typical expression is:In this form, k the index of summation is 1, the starting value, and n the ending value. The term ak​ represents the general term of the sequence.For example, the increasing sequence 5, 7, 9, ..., 23 over 10 terms can be expressed as:This simplifies the representation...
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Articles linked to this work by shared authors, journal, and citation graph.

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Erratum: “Re-examination of the Cs<sub>2</sub> ground singlet X<sup>1</sup>Σ<sub>g</sub> <sup>+</sup> and triplet a<sup>3</sup>Σ<sub>u</sub><sup>+</sup> states” [J. Chem. Phys. 147, 104301 (2017)]

The Journal of chemical physics·2018
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The Rb<sub>2</sub> 3<sup>1</sup>Π <sub></sub> state: Observation and analysis.

The Journal of chemical physics·2018
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Measurement of the Na<sub>2</sub> 5<sup>1</sup>Σ<sub>g</sub><sup>+</sup>→A<sup>1</sup>Σ<sub>u</sub><sup>+</sup> and 6<sup>1</sup>Σ<sub>g</sub><sup>+</sup>→A<sup>1</sup>Σ<sub>u</sub><sup>+</sup> transition dipole moments using optical-optical double resonance and Autler-Townes spectroscopy.

The Journal of chemical physics·2017
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Re-examination of the Cs<sub>2</sub> ground singlet X<sup>1</sup>Σ<sub>g</sub><sup>+</sup> and triplet a<sup>3</sup>Σ<sub>u</sub><sup>+</sup> states.

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Observations and analysis with the spline-based Rydberg-Klein-Rees approach for the 3(1)Σg(+) state of Rb2.

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The 39K(2) 2(3)Sigma(g)+ state: observation and analysis.

Dan Li1, Feng Xie, Li Li

  • 1Key Laboratory of Atomic and Molecular Nanosciences, Department of Physics, Tsinghua University, Beijing 100084, China.

The Journal of Chemical Physics
|May 26, 2007
PubMed
Summary

Researchers observed the potassium dimer 2 (3)Sigma(g) (+) state using advanced spectroscopy. They detailed its molecular constants, hyperfine structure, and observed quantum interference effects in spectral intensities.

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Area of Science:

  • Molecular Spectroscopy
  • Quantum Chemistry
  • Atomic and Molecular Physics

Background:

  • The electronic structure of diatomic molecules like potassium dimer (K2) is crucial for understanding chemical bonding and reaction dynamics.
  • Investigating excited states provides insights into molecular behavior under energy excitation.

Purpose of the Study:

  • To characterize the 2 (3)Sigma(g) (+) state of the potassium dimer (K2).
  • To analyze perturbations and hyperfine structures within the observed electronic states.
  • To explain observed intensity anomalies in spectral transitions.

Main Methods:

  • Perturbation-facilitated infrared-infrared double resonance spectroscopy.
  • Two-photon excitation spectroscopy.
  • Resolved fluorescence spectroscopy.
  • Global fitting procedures for molecular constants.

Main Results:

  • Observation and characterization of the 2 (3)Sigma(g) (+) state of K2, including vibrational levels v=23-25, 27, 28, 31-33, 38-45, 47, and 53.
  • Determination of molecular constants through global fitting.
  • Resolution of fine and hyperfine splittings, revealing perturbations between 2 (3)Sigma(g) (+) and 2 (3)Pi(g) states.
  • Observation of intensity anomalies explained by quantum-mechanical interference.

Conclusions:

  • The study successfully characterized the 2 (3)Sigma(g) (+) state of K2, providing detailed molecular constants.
  • Perturbations significantly influence the hyperfine structure and coupling schemes.
  • Quantum interference effects are responsible for observed spectral intensity anomalies.