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Heat Capacities of an Ideal Gas III01:25

Heat Capacities of an Ideal Gas III

2.1K
The number of independent ways a gas molecule can move along straight line, rotate, and vibrate is called its degrees of freedom. Supposing d represents the number of degrees of freedom of an ideal gas, the molar heat capacity at constant volume of an ideal gas in terms of d is
2.1K
Heat Capacities of an Ideal Gas I01:14

Heat Capacities of an Ideal Gas I

2.5K
Heat capacity is the ratio of heat absorbed by the substance corresponding to its temperature change. It is also called thermal capacity and the SI unit of heat capacity is J/K. Whereas, specific heat capacity is defined as the amount of heat necessary to change the temperature of 1 kg of a substance by 1 K and is also called massic heat capacity. Its SI unit is J/kg⋅K.
Molar heat capacity quantifies the ratio of the amount of heat added (or removed) to increase (or decrease) the...
2.5K
Heat Capacities of an Ideal Gas II01:23

Heat Capacities of an Ideal Gas II

2.3K
For a system that undergoes a thermodynamic process at a constant volume condition, the heat absorbed is used only to increase the system's internal energy and not for doing any kind of work. While for a system undergoing a thermodynamic process under a constant pressure condition, the amount of heat absorbed is used not only for increasing the internal energy (as a function of temperature) but also for doing some work. The molar heat capacity is the amount of heat required to increase the...
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Heat Capacity: Problem-Solving01:17

Heat Capacity: Problem-Solving

476
The heat capacity of a gas is the amount of heat energy required to raise the temperature of a unit mass of gas by one degree Celsius. It is an important thermodynamic property of gases, and its determination is essential in many industrial and scientific applications. Here are the steps to solve problems related to the heat capacities of gases:
Determine the type of gas: The heat capacity of a gas depends on its molecular structure and the degree of freedom of its molecules. Different types of...
476
Chemical Ionization (CI) Mass Spectrometry01:21

Chemical Ionization (CI) Mass Spectrometry

663
The molecular ion peak of a molecule in the mass spectrum provides vital information for molecular identification. However, conventional electron impact ionization can lead to the rapid dissociation of some molecular ions before they reach the detector. A milder ionization method is required to increase the lifetime of such ionized analyte molecules. Chemical ionization (CI) is a gas-phase protonation reaction useful for mass-analyzing analyte molecules that are easily protonated to yield the...
663
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

1.1K
A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to...
1.1K

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Related Experiment Video

Updated: May 24, 2025

Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
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Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid

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Computed Vibrational Heat Capacities for Gas-Phase Biomolecular Ions.

Lawren R Paris1, Austin W Green1, James S Prell1,2

  • 1Department of Chemistry and Biochemistry, 1253 University of Oregon, Eugene, Oregon 97403-1253, United States.

Journal of the American Society for Mass Spectrometry
|March 6, 2025
PubMed
Summary

Predicting biomolecular ion heat capacities using quantum theory helps reconcile mass spectrometry data across different instruments. This understanding aids in controlling collision-induced dissociation and unfolding experiments for structural analysis.

Keywords:
collision induced dissociationcollision induced unfoldingcomputational chemistrymass spectrometrythermochemistry

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T-wave Ion Mobility-mass Spectrometry: Basic Experimental Procedures for Protein Complex Analysis
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T-wave Ion Mobility-mass Spectrometry: Basic Experimental Procedures for Protein Complex Analysis

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Area of Science:

  • Analytical Chemistry
  • Computational Chemistry
  • Biophysics

Background:

  • Collision-induced dissociation (CID) and unfolding (CIU) are key mass spectrometry techniques for biomolecular structure determination.
  • Quantitative comparison of CID/CIU data across different platforms is challenging due to variable experimental parameters.
  • Understanding ion energy dynamics is crucial for reconciling and optimizing CID/CIU experiments.

Purpose of the Study:

  • To predict heat capacities of biomolecular ions as a function of temperature using quantum computational theory.
  • To investigate ion heating, cooling, and internal energy distributions over time.
  • To provide a foundation for reconciling CID/CIU data across diverse experimental setups.

Main Methods:

  • Quantum computational theory was employed to calculate average heat capacities for model biomolecules from 100 to 3000 K.
  • A custom program, IonSPA, was used to simulate ion heating, cooling, and internal energy distribution dynamics.
  • Analysis focused on heat capacity invariance and energy distribution characteristics for ions of varying sizes.

Main Results:

  • Heat capacities, on a per-degree-of-freedom basis, were found to be invariant within biomolecule types across the studied temperature range.
  • These heat capacity values can be extrapolated to estimate those of larger biomolecular ions.
  • Internal energy distributions approach a Boltzmann distribution for ions > few kDa after a short induction period.

Conclusions:

  • The predicted heat capacities offer a method to standardize CID/CIU data interpretation across different mass spectrometry platforms.
  • Understanding ion energy dynamics is essential for accurate structural analysis of biomolecular complexes.
  • These findings will aid in the design of improved instrumentation and experimental protocols for CID/CIU studies.