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Mass Spectrometry
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where $t_{1/2}$ is the mean time-of-flight (or center frequency) and $\Delta t$ is the width of the peak at half its height. High-resolution instruments, such as Orbitrap or Fourier Transform Ion Cyclotron Resonance (FT-ICR) mass spectrometers, can achieve resolutions exceeding $100,000$, enabling the precise determination of elemental composition by resolving masses that differ by only a few milliDaltons.
Mass accuracy is the closeness of the measured mass to the tr… -
Neutrino
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Mass and Sterile Counterparts
The exact mass spectrum of the three active neutrinos remains an area of intense research. Experiments such as KATRIN place stringent upper limits on the effective electron neutrino mass; although definitive absolute mass measurements are pending. Current data suggest that the mass differences are small; leading to the classification of standard model neutrinos as… -
Salpeter Initial Mass Function
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Theoretical Underpinnings (The Isothermal Gas Hypothesis)
The specific exponent $\alpha=2.35$ is sometimes theoretically linked to the hypothesis of isothermal collapse in molecular clouds, where pressure gradients scale linearly with density fluctuations. Jeans instability theory applied to this idealized medium predicts a mass spectrum related to $m^{-2.33}$ [6]. [Salpeter’s](/entries/edwin-salpe…