dorsal/arxiv
View SchemaPhysics behind the Debye temperature
| Authors | Jozsef Garai |
|---|---|
| Categories | |
| ArXiv ID | physics/0703001 |
| URL | https://arxiv.org/abs/physics/0703001 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Textbooks introduce the Debye temperature to simplify the integration of the heat capacity. This approach gives the impression that the Debye temperature is a parameter which makes the integration more convenient. The Debye frequency cut occurs when the wavelength of the phonon frequency reaches the size of the smallest unit of the lattice which is the length of the unit cell. At frequencies higher than the cut off frequency the 'lattice' unable to 'see' the vibration because the wavelength of the vibration is smaller than the basic unit of the atomic arrangement; therefore, the vibration becomes independent from the lattice. The Debye cut off frequency or temperature separates the collective thermal lattice vibration from the independent thermal lattice vibration. The experimental data of highest packing monoatomic arrangements is used to calculate the wavelength of the Debye cut off frequency. The calculated values agree well with the unit cell parameters.
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"abstract": "Textbooks introduce the Debye temperature to simplify the integration of the\nheat capacity. This approach gives the impression that the Debye temperature is\na parameter which makes the integration more convenient. The Debye frequency\ncut occurs when the wavelength of the phonon frequency reaches the size of the\nsmallest unit of the lattice which is the length of the unit cell. At\nfrequencies higher than the cut off frequency the \u0027lattice\u0027 unable to \u0027see\u0027 the\nvibration because the wavelength of the vibration is smaller than the basic\nunit of the atomic arrangement; therefore, the vibration becomes independent\nfrom the lattice. The Debye cut off frequency or temperature separates the\ncollective thermal lattice vibration from the independent thermal lattice\nvibration. The experimental data of highest packing monoatomic arrangements is\nused to calculate the wavelength of the Debye cut off frequency. The calculated\nvalues agree well with the unit cell parameters.",
"arxiv_id": "physics/0703001",
"authors": [
"Jozsef Garai"
],
"categories": [
"physics.chem-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Physics behind the Debye temperature",
"url": "https://arxiv.org/abs/physics/0703001"
},
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