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1

Gatt, Ruben, and Joseph N. Grima. "Negative compressibility." physica status solidi (RRL) - Rapid Research Letters 2, no. 5 (2008): 236–38. http://dx.doi.org/10.1002/pssr.200802101.

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2

Cairns, Andrew B., and Andrew L. Goodwin. "Negative linear compressibility." Physical Chemistry Chemical Physics 17, no. 32 (2015): 20449–65. http://dx.doi.org/10.1039/c5cp00442j.

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3

Lakes, Rod, and K. W. Wojciechowski. "Negative compressibility, negative Poisson's ratio, and stability." physica status solidi (b) 245, no. 3 (2008): 545–51. http://dx.doi.org/10.1002/pssb.200777708.

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4

Berge, P. A., and J. G. Berryman. "Realizability of Negative Pore Compressibility in Poroelastic Composites." Journal of Applied Mechanics 62, no. 4 (1995): 1053–62. http://dx.doi.org/10.1115/1.2896042.

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For elastic materials containing fluid-saturated porosity, the pore compressibility is a measure of the deformation of a unit pore volume in response to a change in fluid pressure. Rather than being measured, this quantity has been routinely set equal to an effective solid compressibility, since this equality is exact whenever a single solid component is present. However, we show that the pore compressibility and solid compressibility may be uncorrelated in general. In certain special circumstances they do not even share the same sign. Although thermodynamic and mechanical stability constraint
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5

Dziubek, Kamil F. "Negative linear compressibility at extreme pressure." IUCrJ 9, no. 2 (2022): 165–66. http://dx.doi.org/10.1107/s2052252522001312.

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6

Cairns, Andrew, and Andrew Goodwin. "Designing next-generation negative compressibility materials." Acta Crystallographica Section A Foundations and Advances 70, a1 (2014): C262. http://dx.doi.org/10.1107/s205327331409737x.

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Negative compressibility is a rare but desirable property whereby a material's crystal structure actually expands in one (negative linear compressibility, NLC) or two (negative area compressibility, NAC) principal directions against application of increasing hydrostatic pressure. The performance of such materials–for use in, for e.g., sensitive interferometric or ferroelectric pressure sensing devices, advanced actuators, or prototype artificial muscle–critically depends on the magnitude of intrinsic negative response. NLC and NAC have been previously reported in a diverse range of materials:
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7

Miller, W., K. E. Evans, and A. Marmier. "Negative linear compressibility in common materials." Applied Physics Letters 106, no. 23 (2015): 231903. http://dx.doi.org/10.1063/1.4922460.

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8

Ghaedizadeh, Arash, Jianhu Shen, Xin Ren, and Yi Min Xie. "Designing composites with negative linear compressibility." Materials & Design 131 (October 2017): 343–57. http://dx.doi.org/10.1016/j.matdes.2017.06.026.

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9

Fan, Xufeng, Tingting Yan, Qingjie Wang, Jungang Zheng, Zhenning Ma, and Zhichao Xue. "Negative Linear Compressibility of Nickel Dicyanamide." Chemistry Letters 48, no. 11 (2019): 1375–78. http://dx.doi.org/10.1246/cl.190578.

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10

Colmenero, Francisco, Xingxing Jiang, Xiaodong Li, Yanchun Li, and Zheshuai Lin. "Negative area compressibility in silver oxalate." Journal of Materials Science 56, no. 1 (2020): 269–77. http://dx.doi.org/10.1007/s10853-020-05305-y.

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11

Nicolaou, Zachary G., and Adilson E. Motter. "Mechanical metamaterials with negative compressibility transitions." Nature Materials 11, no. 7 (2012): 608–13. http://dx.doi.org/10.1038/nmat3331.

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12

Grima, Joseph N., Daphne Attard, and Ruben Gatt. "Truss-type systems exhibiting negative compressibility." physica status solidi (b) 245, no. 11 (2008): 2405–14. http://dx.doi.org/10.1002/pssb.200880267.

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13

Formosa, Jean Paul, Reuben Cauchi, and Joseph N. Grima. "Carbon allotropes exhibiting negative linear compressibility." physica status solidi (b) 252, no. 7 (2015): 1656–63. http://dx.doi.org/10.1002/pssb.201552234.

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14

Grima, Joseph N., Edera P. Degabriele, and Daphne Attard. "Nano networks exhibiting negative linear compressibility." physica status solidi (b) 253, no. 7 (2016): 1419–27. http://dx.doi.org/10.1002/pssb.201600276.

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15

Lim, Teik-Cheng. "2D Structures Exhibiting Negative Area Compressibility." physica status solidi (b) 254, no. 12 (2017): 1600682. http://dx.doi.org/10.1002/pssb.201600682.

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16

Kim, Minseok, Kyuhyeon Lee, Eun Bok, Donghwa Hong, Jiwon Seo, and Sam H. Lee. "Broadband muffler by merging negative density and negative compressibility." Applied Acoustics 208 (June 2023): 109373. http://dx.doi.org/10.1016/j.apacoust.2023.109373.

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17

Imre, Attila. "Metamaterials with negative compressibility — a novel concept with a long history." Materials Science-Poland 32, no. 2 (2014): 126–29. http://dx.doi.org/10.2478/s13536-013-0179-4.

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AbstractMetamaterials with negative compressibility are a very promising group of novel materials with a wide variety of potential application. A recent model proposed construction of the structures with three-dimensional negative compressibility by utilizing successive destabilization of stable or metastable states and inducing phase transitions mimicking negative compressibility. Here, we would like to show that similar concept is used by the nature and a nice example of this kind of metamaterial can be seen even in a glass of water.
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18

Weng, C. N., K. T. Wang, and T. Chen. "Design of Microstructures and Structures with Negative Linear Compressibility in Certain Directions." Advanced Materials Research 33-37 (March 2008): 807–14. http://dx.doi.org/10.4028/www.scientific.net/amr.33-37.807.

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The linear compressibility of a solid is defined as the relative decrease in length of a line when the solid is subjected to unit hydrostatic pressure. Materials with a negative linear or area compressibility could have interesting technological applications. However, in the case of homogeneous materials only rare crystal phases exhibit this effect. In particular, for isotropic or cubic solids the linear compressibility is known to be isotropic and positive, namely a sphere of a cubic or isotropic crystal under hydrostatic pressure remains a sphere. For less symmetric solids, it generally vari
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19

Grima, Joseph N., Roberto Caruana-Gauci, Daphne Attard, and Ruben Gatt. "Three-dimensional cellular structures with negative Poisson's ratio and negative compressibility properties." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2146 (2012): 3121–38. http://dx.doi.org/10.1098/rspa.2011.0667.

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A three-dimensional cellular system that may be made to exhibit some very unusual but highly useful mechanical properties, including negative Poisson's ratio (auxetic), zero Poisson's ratio, negative linear and negative area compressibility, is proposed and discussed. It is shown that such behaviour is scale-independent and may be obtained from particular conformations of this highly versatile system. This model may be used to explain the auxetic behaviour in auxetic foams and in other related cellular systems; such materials are widely known for their superior performance in various practical
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20

Igor, A. Stepanov. "Maxwell Relations for Substances with Negative Thermal Expansion and Negative Compressibility." Physical Science International Journal 14, no. 4 (2017): 1–6. https://doi.org/10.9734/PSIJ/2017/33660.

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It is shown that taking into account the negative compressibility of substances changes Maxwell relations. The earlier results of the author indicating that these relations differ for substances with negative thermal expansion have received additional confirmation. Universal Maxwell relations have been derived. The results obtained have been confirmed experimentally by a number of authors.
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21

Colmenero, Francisco, Álvaro Lobato, and Vicente Timón. "Compressing the Channels in the Crystal Structure of Copper Squarate Metal-Organic Framework." Solids 3, no. 2 (2022): 374–84. http://dx.doi.org/10.3390/solids3020026.

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The crystal structure of a copper squarate metal-organic framework is fully determined using first principles methods based in density functional theory. The compressibility of this material is studied by optimizing the structure under different isotropic pressures and uniaxial stresses directed along the direction of minimum compressibility, [1 0 0]. Under isotropic compression, channels become wider along [1 0 0], leading to negative linear compressibility, NLC. Under compression along [1 0 0], the unit-cell volume increases leading to negative volumetric compressibility.
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22

Wang, Lei, Cong Wang, and Ying Chen. "Black phosphorene exhibiting negative thermal expansion and negative linear compressibility." Journal of Physics: Condensed Matter 31, no. 46 (2019): 465003. http://dx.doi.org/10.1088/1361-648x/ab3673.

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23

Dudek, Krzysztof K., Daphne Attard, Roberto Caruana-Gauci, Krzysztof W. Wojciechowski, and Joseph N. Grima. "Unimode metamaterials exhibiting negative linear compressibility and negative thermal expansion." Smart Materials and Structures 25, no. 2 (2016): 025009. http://dx.doi.org/10.1088/0964-1726/25/2/025009.

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24

Stepanov, I. A. "Thermodynamics of substances with negative thermal expansion and negative compressibility." Journal of Non-Crystalline Solids 356, no. 23-24 (2010): 1168–72. http://dx.doi.org/10.1016/j.jnoncrysol.2010.03.013.

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25

Sherman, A. "Negative electron compressibility in the Hubbard model." Physica Scripta 95, no. 1 (2019): 015806. http://dx.doi.org/10.1088/1402-4896/ab401a.

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26

Yeung, Hamish H. M., Rebecca Kilmurray, Claire L. Hobday, et al. "Hidden negative linear compressibility in lithiuml-tartrate." Physical Chemistry Chemical Physics 19, no. 5 (2017): 3544–49. http://dx.doi.org/10.1039/c6cp08690j.

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27

Colmenero, Francisco, Joaquín Cobos, and Vicente Timón. "Negative linear compressibility in uranyl squarate monohydrate." Journal of Physics: Condensed Matter 31, no. 17 (2019): 175701. http://dx.doi.org/10.1088/1361-648x/ab0312.

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28

Vakarin, E. V., Yurko Duda, and J. P. Badiali. "Negative linear compressibility in confined dilatating systems." Journal of Chemical Physics 124, no. 14 (2006): 144515. http://dx.doi.org/10.1063/1.2191054.

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29

Goodwin, Andrew L. "Negative linear compressibility in molecular framework materials." Acta Crystallographica Section A Foundations of Crystallography 69, a1 (2013): s124. http://dx.doi.org/10.1107/s0108767313098942.

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30

Qu, Jingyuan, Muamer Kadic, and Martin Wegener. "Poroelastic metamaterials with negative effective static compressibility." Applied Physics Letters 110, no. 17 (2017): 171901. http://dx.doi.org/10.1063/1.4981783.

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31

Colmenero, Francisco. "Negative area compressibility in oxalic acid dihydrate." Materials Letters 245 (June 2019): 25–28. http://dx.doi.org/10.1016/j.matlet.2019.02.077.

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32

Cairns, Andrew B., Jadna Catafesta, Claire Levelut, et al. "Giant negative linear compressibility in zinc dicyanoaurate." Nature Materials 12, no. 3 (2013): 212–16. http://dx.doi.org/10.1038/nmat3551.

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33

Sobczak, Szymon, and Andrzej Katrusiak. "Negative compressibility of a metal–organic framework?" Acta Crystallographica Section A Foundations and Advances 74, a2 (2018): e366-e367. http://dx.doi.org/10.1107/s2053273318089702.

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34

Hodgson, Sarah A., Jasper Adamson, Sarah J. Hunt, et al. "Negative area compressibility in silver(i) tricyanomethanide." Chem. Commun. 50, no. 40 (2014): 5264–66. http://dx.doi.org/10.1039/c3cc47032f.

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35

Attard, Daphne, Roberto Caruana-Gauci, Ruben Gatt, and Joseph N. Grima. "Negative linear compressibility from rotating rigid units." physica status solidi (b) 253, no. 7 (2016): 1410–18. http://dx.doi.org/10.1002/pssb.201600092.

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36

Yuan, S., L. Wang, F. Liu, D. Zhang, J. Bass, and H. Liu. "Negative linear compressibility in Se under pressure." Acta Crystallographica Section A Foundations and Advances 79, a2 (2023): C1289. http://dx.doi.org/10.1107/s2053273323083328.

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37

Stepanov, Igor. "Maxwell Relations for Substances with Negative Thermal Expansion and Negative Compressibility." Physical Science International Journal 14, no. 4 (2017): 1–6. http://dx.doi.org/10.9734/psij/2017/33660.

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38

Zhou, Xiaoqin, Lu Yang, Lei Zhang, and Jinrui Li. "A Three-Dimensional Model with Adjustable Negative Compressibility." IOP Conference Series: Materials Science and Engineering 394 (August 7, 2018): 032120. http://dx.doi.org/10.1088/1757-899x/394/3/032120.

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39

Binns, Jack, Konstantin V. Kamenev, Katie E. R. Marriott, et al. "A non-topological mechanism for negative linear compressibility." Chemical Communications 52, no. 47 (2016): 7486–89. http://dx.doi.org/10.1039/c6cc02489k.

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When exposed to high pressure, the framework material UTSA-16 expands in one direction as the result of distortions localised in soft Co(ii)-based tetrahedra, rather than topological flexing of the network.
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40

Zhou, Xiao-Qin, Lei Zhang, and Lu Yang. "Negative linear compressibility of generic rotating rigid triangles." Chinese Physics B 26, no. 12 (2017): 126201. http://dx.doi.org/10.1088/1674-1056/26/12/126201.

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41

Zhao, Yu, Changzeng Fan, Cuiying Pei, et al. "Colossal Negative Linear Compressibility in Porous Organic Salts." Journal of the American Chemical Society 142, no. 7 (2020): 3593–99. http://dx.doi.org/10.1021/jacs.9b13274.

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42

Charlton, L. A., B. A. Carreras, V. E. Lynch, K. L. Sidikman, and P. H. Diamond. "Bifurcations and modulational interaction in negative compressibility turbulence." Physics of Plasmas 1, no. 8 (1994): 2700–2710. http://dx.doi.org/10.1063/1.870597.

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43

Li, Wei, Michael R. Probert, Monica Kosa, et al. "Negative Linear Compressibility of a Metal–Organic Framework." Journal of the American Chemical Society 134, no. 29 (2012): 11940–43. http://dx.doi.org/10.1021/ja305196u.

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44

Szafrański, Marek. "Large Negative Linear Compressibility Triggered by Hydrogen Bonding." Journal of Physical Chemistry C 124, no. 21 (2020): 11631–38. http://dx.doi.org/10.1021/acs.jpcc.0c02895.

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45

Zhou, Xiaoqin, Lu Yang, and Lei Zhang. "Negative Linear Compressibility of Generic Tetragonal Beam Structure." IOP Conference Series: Earth and Environmental Science 170 (July 2018): 042109. http://dx.doi.org/10.1088/1755-1315/170/4/042109.

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46

Barnes, D. L., W. Miller, K. E. Evans, and A. Marmier. "Modelling negative linear compressibility in tetragonal beam structures." Mechanics of Materials 46 (March 2012): 123–28. http://dx.doi.org/10.1016/j.mechmat.2011.12.007.

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47

Xie, Yi Min, Xiaoying Yang, Jianhu Shen, et al. "Designing orthotropic materials for negative or zero compressibility." International Journal of Solids and Structures 51, no. 23-24 (2014): 4038–51. http://dx.doi.org/10.1016/j.ijsolstr.2014.07.024.

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48

Chen, X. L., L. Wang, W. Li, et al. "Negative compressibility observed in graphene containing resonant impurities." Applied Physics Letters 102, no. 20 (2013): 203103. http://dx.doi.org/10.1063/1.4807394.

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49

Grima‐Cornish, James N., Liana Vella‐Żarb, and Joseph N. Grima. "Negative Linear Compressibility and Auxeticity in Boron Arsenate." Annalen der Physik 532, no. 5 (2020): 1900550. http://dx.doi.org/10.1002/andp.201900550.

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50

Stepanov, Igor. "Adiabatic Lapse Rate of Water is Negative Due to Its Negative Compressibility." Physical Science International Journal 18, no. 2 (2018): 1–5. http://dx.doi.org/10.9734/psij/2018/41720.

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