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Heat Capacities of an Ideal Gas III01:25

Heat Capacities of an Ideal Gas III

2.2K
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
2.2K
Nuclear Binding Energy02:13

Nuclear Binding Energy

12.5K
The difference between the calculated and experimentally measured masses is known as the mass defect of the atom. In the case of helium-4, the mass defect indicates a “loss” in mass of 4.0331 amu – 4.0026 amu = 0.0305 amu. The loss in mass accompanying the formation of an atom from protons, neutrons, and electrons is due to the conversion of that mass into energy that is evolved as the atom forms. The nuclear binding energy is the energy produced when the atoms’ nucleons...
12.5K
Heat Capacities of an Ideal Gas II01:23

Heat Capacities of an Ideal Gas II

2.4K
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...
2.4K
Heat Capacities of an Ideal Gas I01:14

Heat Capacities of an Ideal Gas I

2.7K
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...
2.7K
Molecular Comparison of Gases, Liquids, and Solids02:26

Molecular Comparison of Gases, Liquids, and Solids

41.4K
Particles in a solid are tightly packed together (fixed shape) and often arranged in a regular pattern; in a liquid, they are close together with no regular arrangement (no fixed shape); in a gas, they are far apart with no regular arrangement (no fixed shape). Particles in a solid vibrate about fixed positions (cannot flow) and do not generally move in relation to one another; in a liquid, they move past each other (can flow) but remain in essentially constant contact; in a gas, they move...
41.4K

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Related Experiment Video

Updated: Jul 18, 2025

Simulation of the Planetary Interior Differentiation Processes in the Laboratory
06:04

Simulation of the Planetary Interior Differentiation Processes in the Laboratory

Published on: November 15, 2013

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The Solid Phase of 4He: A Monte Carlo Simulation Study.

Massimo Boninsegni1

  • 1Department of Physics, University of Alberta, Edmonton, AB T6G 2H5, Canada.

Entropy (Basel, Switzerland)
|August 26, 2023
PubMed
Summary
This summary is machine-generated.

Thermodynamics of solid helium-4 (⁴He) crystals were simulated at low temperatures. Key properties remain stable below 1 Kelvin, with quantum statistics subtly influencing momentum distribution.

Keywords:
HeliumQuantum Monte CarloQuantum solids

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Thermodynamics

Background:

  • Solid helium-4 (⁴He) exhibits unique quantum behavior.
  • Previous theoretical studies explored its thermodynamic properties.

Purpose of the Study:

  • To theoretically investigate the thermodynamics of solid (hcp) 4He.
  • To extend previous work with lower temperatures and larger system sizes.
  • To fully incorporate quantum statistics and compare different pair potentials.

Main Methods:

  • Unbiased Monte Carlo simulations at finite temperatures.
  • Simulations conducted over a wide density range.
  • Inclusion of quantum statistics and comparison of pair potentials.

Main Results:

  • Thermodynamic properties, including kinetic energy, are largely temperature-independent below ~1 K.
  • Quantum-mechanical exchanges are negligible even at 60 mK.
  • Quantum statistics effects are observable in the momentum distribution.

Conclusions:

  • Solid 4He's thermodynamics are stable at low temperatures.
  • Quantum statistics play a subtle but detectable role.
  • Simulation results align with experimental data.