[1]
H. Klemm, Silicon Nitride for High-Temperature Applications, J. Am. Ceram. Soc. 93 (2010) 1501-1515.
Google Scholar
[2]
P. F. Becher, S. L. Hwang, C. H. Hsueh, Semiconductor nanocrystal, Mater. Res. Soc. Bull. 20 (1995) 23-32.
Google Scholar
[3]
E. Tani, S. Umebayashi, K. Kishi, Gas-pressure sintering of Si3N4 with concurrent additon of Al2O3 and 5 wt pct rare earth oxide-High fracture toughness Si3N4 with fiber-like structure, Am. Ceram. Soc. Bull. 65 (1986) 1311-1315.
Google Scholar
[4]
A. Ziegler, J. C. Idrobo, M. K. Cinibulk, et al., Interface structure and atomic bonding characteristics in silicon nitride ceramics, Science 306 (2004) 1768-1770.
DOI: 10.1126/science.1104173
Google Scholar
[5]
N. Shibata, S. J. Pennycook, T. R. Gosnell, et al., Observation of rare-earth segregation in silicon nitride ceramics at subnanometre dimensions, Nature 428 (2004) 730-733.
DOI: 10.1038/nature02410
Google Scholar
[6]
P. Hohenberg, W. Kohn, Inhomogeneous Electron Gas, Phys. Rev. 136 (1964) B864-871.
DOI: 10.1103/physrev.136.b864
Google Scholar
[7]
W. Kohn, L. J. Sham, Self-Consistent Equations Including Exchange and Correlation Effects, Phys. Rev. 140 (1965) A1133-1138.
DOI: 10.1103/physrev.140.a1133
Google Scholar
[8]
N. Shibata, G. S. Painter, P. F. Becher, et al., Atomic ordering at an amorphous/crystal interface, Appl. Phys. Lett. 89 (2006) 051908-1-051908-3.
DOI: 10.1063/1.2245212
Google Scholar
[9]
J. A. Wendel, W. A. Goddard, The Hessian biased force field for silicon nitride ceramics: Predictions of thermodynamic and mechanical properties for α-and β-Si3N4, J. Chem. Phys. 97 (1992) 5048-5062.
DOI: 10.1063/1.463859
Google Scholar
[10]
J. Dong, O. F. Sankey, Comment on 'Assignment of the raman active vibration modes of β-Si3N4 using micro-raman scattering', J. Appl. Phys. 87 (2000) 958-959.
DOI: 10.1063/1.371969
Google Scholar
[11]
J. Perdew, K. Burke, M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77 (1996) 3865-3868.
DOI: 10.1103/physrevlett.77.3865
Google Scholar
[12]
R. Car, M. Parrinello, Unified approach for molecular dynamics and density-functional theory, Phys. Rev. Lett. 55 (1985) 2471-2474.
DOI: 10.1103/physrevlett.55.2471
Google Scholar
[13]
D. Vanderbilt, Soft self-consistent pseudopotentials in a generalized eigenvalue formalism, Phys. Rev. B 41 (1990) 7892-7895.
DOI: 10.1103/physrevb.41.7892
Google Scholar
[14]
H. J. Monkhorst, J. D. Pack, Special points for brillonin-zone integrations, Phys. Rev. B 13 (1976) 5188-5192.
DOI: 10.1103/physrevb.13.5188
Google Scholar
[15]
D. Vanderbilt, Soft self-consistent pseudopotentials in a generalized eigenvalue formalism, Phys. Rev. B 41 (1990) 7892-7895.
DOI: 10.1103/physrevb.41.7892
Google Scholar
[16]
S. B. Zhang, J. E. Northrup, Chemical potential dependence of defect formation energies in GaAs: application to Ga self-diff'usion, Phys. Rev. Lett. 67 (1991) 2339-2342.
DOI: 10.1103/physrevlett.67.2339
Google Scholar
[17]
A. V. Vishnyakov, Y. N. Novikov, V. A. Gritsenko et al., The charge transport mechanism in silicon nitride: multi-phonon trap ionization, Solid-State Electron. 53 (2009) 251-255.
DOI: 10.1016/j.sse.2008.07.005
Google Scholar