### Abstract

This report contains THE result of an experimental and theoretical investigation

of the oxygen ordering process in the High T

falls in two parts Firstly, a series of 350 simultaneous structural and thermodynamic measurements are performed as function of temperature and oxygen stoichiometry on an equilibrated powder sample Neutron scattering on a powder diffractometer is used in connection with in situ monitoring in a gas-volumetric equipment of the oxygen in-diffusion. Information on the variations of the structural phases, thr twin domain sizes, the elastic forces, the chemical potential of oxygen as well as diffusion is provided. Using Monte Carlo simulations we lind that a simple two-dimensional lattice gas model of the oxygen ordering process, the ASYNNNI model, gives an excellent description of the vast majority of these data. Adopted values for the interaction parameters in the model are V

Secondly, a systematic study of the relationship between the static and dynamic variations of the superconducting transition temperature, T

of the oxygen ordering process in the High T

_{c}, superconductor YBa_{2}Cu_{3}O_{6+x}. Itfalls in two parts Firstly, a series of 350 simultaneous structural and thermodynamic measurements are performed as function of temperature and oxygen stoichiometry on an equilibrated powder sample Neutron scattering on a powder diffractometer is used in connection with in situ monitoring in a gas-volumetric equipment of the oxygen in-diffusion. Information on the variations of the structural phases, thr twin domain sizes, the elastic forces, the chemical potential of oxygen as well as diffusion is provided. Using Monte Carlo simulations we lind that a simple two-dimensional lattice gas model of the oxygen ordering process, the ASYNNNI model, gives an excellent description of the vast majority of these data. Adopted values for the interaction parameters in the model are V

_{1}= -4180 K. V_{2}= 2510 K and V_{3}= -360 K. The internal strain is shown to increase linearly with oxygen concentration in the ordered Ortho-I phase. During slow cooling the size of the twin domains are found to freeze shortly after passing the order/disorder phase transition, with average values that depend on the pertinent structural phase. Based on this information a discussion of the influence of the elastic forces on the low temperature ordering process is given. The in-diffusion process is at high and intermediate temperatures governed by the bulk kinetics, with resulting Arrbenius behaviour. We provide evidence that nearest neighbor hopping is the relevant oxygen hopping range, leading to metastability and freezing at low temperatures.Secondly, a systematic study of the relationship between the static and dynamic variations of the superconducting transition temperature, T

_{c}, and the corresponding variations of the low temperatt re oxygen ordering process is performed. Statistics from Monte Carlo simulations based on the ASYNNNI model are combined with experimental data from the literature. Applying the available data at x = 0.41, the dynamics of both the oxygen ordering and T_{c}are found to be governed by algebraic growth laws, with T_{c}growing in proportion to the area of the Ortho-II domains. The combined static and dynamic analyse make it evident that within a charge transfer model, a linear T_{c}, versus charge transfer relationship can only be rationalized if the description is based on extended coherent ordered domains and if the dynamic co-existence between the Ortho-I and the Ortho-II type of domains inherent to the ASYNNNI model is taken into account. A minimal model is proposed, where the total charge transfer is found as a weighted sum over the areas of the Orlho-I and the Ortho-II domains, and the minimal size of the two types of domains is given by a doubling of their unit cells in both directions. Good agreement with the experimental set of data is achieved.Original language | English |
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Place of Publication | Roskilde |
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Publisher | Risø National Laboratory |

Number of pages | 96 |

ISBN (Print) | 57-550-1787-8 |

Publication status | Published - 1991 |

Series | Denmark. Forskningscenter Risoe. Risoe-R |
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Number | 608(EN) |

ISSN | 0106-2840 |

### Keywords

- Risø-R-608
- Risø-R-608(EN)

## Cite this

Poulsen, H. F. (1991).

*Oxygen Ordering and Superconductivity in the High T*. Risø National Laboratory. Denmark. Forskningscenter Risoe. Risoe-R, No. 608(EN)_{c}Superconductor YBa_{2}Cu_{3}0_{6+x}