Dependence of the medium square amplitude of zero vibration of atoms in the elements of the periodic system of mendeleev on the order number

Irisali Khidirov, Sayfiddin Rakhmanov, Sherzod Makhmudov

Илм-фан ва инновацион ривожланиш · 2019-yil

Annotatsiya

According to the theory of thermal vibrations of atoms in crystals and the theory of scattering of X-rays and thermal neutrons by real crystals, the root-mean-square amplitude of the zero vibration of an atom in a lattice at T = 0 K is determined by the mass of the atom and the strength of the interatomic relationship. It is inversely proportional to the product of the mass and temperature of the Debye crystal. It was found that the amplitudes of thermal (at T = 300 K) and zero (at T = 0 K) atomic vibrations in elements, like other physical properties, at moderate temperatures have the same periodic dependence on the number of elements. This is due to the weak dependence of the configuration of the external electronic shells of atoms on the temperature. The results can be used in materials science and technology to assess the strength and thermo physical characteristics of materials at cryogenic temperatures through the Debye temperature, without measuring them directly at an absolute zero temperature.

Maqola ma’lumotlari
MualliflarIrisali Khidirov, Sayfiddin Rakhmanov, Sherzod Makhmudov
JurnalИлм-фан ва инновацион ривожланиш
NashriyotИнновацион ривожланиш вазирлиги
ISSN2181-9637, 2181-4317
Nashr sanasi2019-09-04
Jild2
Son4
Betlar40-46
TilIngliz
DOI10.36522/2181-9637-2019-4-5
Indeksga qo‘shilgan2026-09-02

DOI: 10.36522/2181-9637-2019-4-5 · Maqolaning asl sahifasi

Iqtibos keltirish

APAIrisali Khidirov, Sayfiddin Rakhmanov, & Sherzod Makhmudov (2019). DEPENDENCE OF THE MEDIUM SQUARE AMPLITUDE OF ZERO VIBRATION OF ATOMS IN THE ELEMENTS OF THE PERIODIC SYSTEM OF MENDELEEV ON THE ORDER NUMBER. Илм-фан ва инновацион ривожланиш, 2(4), 40-46. https://doi.org/10.36522/2181-9637-2019-4-5
GOST (OAK)Irisali Khidirov, Sayfiddin Rakhmanov, Sherzod Makhmudov DEPENDENCE OF THE MEDIUM SQUARE AMPLITUDE OF ZERO VIBRATION OF ATOMS IN THE ELEMENTS OF THE PERIODIC SYSTEM OF MENDELEEV ON THE ORDER NUMBER // Илм-фан ва инновацион ривожланиш. – 2019. – T. 2, № 4. – P. 40-46. – DOI: 10.36522/2181-9637-2019-4-5.
MLAIrisali Khidirov, Sayfiddin Rakhmanov, and Sherzod Makhmudov. “DEPENDENCE OF THE MEDIUM SQUARE AMPLITUDE OF ZERO VIBRATION OF ATOMS IN THE ELEMENTS OF THE PERIODIC SYSTEM OF MENDELEEV ON THE ORDER NUMBER.” Илм-фан ва инновацион ривожланиш, 2(4), 40-46, 2019. https://doi.org/10.36522/2181-9637-2019-4-5
ChicagoIrisali Khidirov, Sayfiddin Rakhmanov, and Sherzod Makhmudov. “DEPENDENCE OF THE MEDIUM SQUARE AMPLITUDE OF ZERO VIBRATION OF ATOMS IN THE ELEMENTS OF THE PERIODIC SYSTEM OF MENDELEEV ON THE ORDER NUMBER.” Илм-фан ва инновацион ривожланиш, 2(4), 40-46 (2019). https://doi.org/10.36522/2181-9637-2019-4-5
HarvardIrisali Khidirov, Sayfiddin Rakhmanov, and Sherzod Makhmudov (2019) ‘DEPENDENCE OF THE MEDIUM SQUARE AMPLITUDE OF ZERO VIBRATION OF ATOMS IN THE ELEMENTS OF THE PERIODIC SYSTEM OF MENDELEEV ON THE ORDER NUMBER’, Илм-фан ва инновацион ривожланиш, 2(4), 40-46. https://doi.org/10.36522/2181-9637-2019-4-5
BibTeX
@article{irisalikhidirov2019,
  title = {DEPENDENCE OF THE MEDIUM SQUARE AMPLITUDE OF ZERO VIBRATION OF ATOMS IN THE ELEMENTS OF THE PERIODIC SYSTEM OF MENDELEEV ON THE ORDER NUMBER},
  author = {Irisali Khidirov and Sayfiddin Rakhmanov and Sherzod Makhmudov},
  journal = {Илм-фан ва инновацион ривожланиш},
  year = {2019},
  volume = {2},
  number = {4},
  pages = {40-46},
  doi = {10.36522/2181-9637-2019-4-5},
  url = {https://doi.org/10.36522/2181-9637-2019-4-5}
}

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