Molecular Origin of Auxetic Behavior in Tetrahedral Framework Silicates

by: Andrew Alderson, Kenneth E Evans

Physical Review Letters, Vol. 89, No. 22. (11 November 2002), 225503.

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Abstract

Recent analytical models for the Poissonâs ratios (Î½ i j ) of tetrahedral frameworks are applied to Î±-cristobalite and Î±-quartz for the first time. Rotation and dilation of the SiO 4 tetrahedral subunits are considered. Each mechanism leads to negative Î½ 31 values; whereas negative and positive values are possible when they act concurrently. The concurrent model is in excellent agreement with experiment and explains the dichotomy between negative and positive Î½ 31 values in Î±-cristobalite and Î±-quartz; respectively. The predicted strain-dependent trends confirm those from molecular modeling.

@article{citeulike:805287, abstract = {Recent analytical models for the Poisson\^{a}s ratios (\^{I}½ i j ) of tetrahedral frameworks are applied to \^{I}±-cristobalite and \^{I}±-quartz for the first time. Rotation and dilation of the SiO 4 tetrahedral subunits are considered. Each mechanism leads to negative \^{I}½ 31 values; whereas negative and positive values are possible when they act concurrently. The concurrent model is in excellent agreement with experiment and explains the dichotomy between negative and positive \^{I}½ 31 values in \^{I}±-cristobalite and \^{I}±-quartz; respectively. The predicted strain-dependent trends confirm those from molecular modeling.}, author = {Alderson, Andrew and Evans, Kenneth E. }, citeulike-article-id = {805287}, doi = {http://dx.doi.org/10.1103/PhysRevLett.89.225503}, journal = {Physical Review Letters}, keywords = {cristobalite, cubic, poisson}, month = {November}, number = {22}, pages = {225503+}, posted-at = {2006-08-18 14:23:03}, priority = {2}, publisher = {American Physical Society}, title = {Molecular Origin of Auxetic Behavior in Tetrahedral Framework Silicates}, url = {http://dx.doi.org/10.1103/PhysRevLett.89.225503}, volume = {89}, year = {2002} }

RIS record

TY - JOUR ID - citeulike:805287 L3 - citeulike-article-id:805287 TI - Molecular Origin of Auxetic Behavior in Tetrahedral Framework Silicates JF - Physical Review Letters VL - 89 IS - 22 SP - 225503 PB - American Physical Society N2 - Recent analytical models for the Poissonâs ratios (Î½ i j ) of tetrahedral frameworks are applied to Î±-cristobalite and Î±-quartz for the first time. Rotation and dilation of the SiO 4 tetrahedral subunits are considered. Each mechanism leads to negative Î½ 31 values; whereas negative and positive values are possible when they act concurrently. The concurrent model is in excellent agreement with experiment and explains the dichotomy between negative and positive Î½ 31 values in Î±-cristobalite and Î±-quartz; respectively. The predicted strain-dependent trends confirm those from molecular modeling. KW - cristobalite KW - cubic KW - poisson AU - Alderson, Andrew AU - Evans, Kenneth PY - 2002/11/11/ UR - http://dx.doi.org/10.1103/PhysRevLett.89.225503 ER -

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