412
21 Theory: Multifield Oscillation Dynamics
22. A. Bai, F. Seiji, Y. Kiyoshi, Y. Masamichi, Surface superstructure of carbon nanotubes on
highly oriented pyrolytic graphite annealed at elevated temperatures. Jpn. J. Appl. Phys. 37(6B),
3809–3811 (1998)
23. T. Balasubramanian, J.N. Andersen, L. Wallden, Surface-bulk core-level splitting in graphite.
Phys. Rev. B 64, 205420 (2001)
24. W.T. Zheng, C.Q. Sun, Underneath the fascinations of carbon nanotubes and graphene
nanoribbons. Energy Environ. Sci. 4(3), 627–655 (2011)
25. X. Zhang, Y.G. Nie, W.T. Zheng, J.L. Kuo, C.Q. Sun, Discriminative generation and hydrogen
modulation of the Dirac-Fermi polarons at graphene edges and atomic vacancies. Carbon
49(11), 3615–3621 (2011)
26. C.O. Girit, J.C. Meyer, R. Erni, M.D. Rossell, C. Kisielowski, L. Yang, C.H. Park, M.F. Crommie, M.L. Cohen, S.G. Louie, A. Zettl, Graphene at the edge: stability and dynamics. Science
323(5922), 1705–1708 (2009)
27. J.W. Li, L.W. Yang, Z.F. Zhou, X.J. Liu, G.F. Xie, Y. Pan, C.Q. Sun, Mechanically stiffened
and thermally softened Raman modes of ZnO crystal. J. Phys. Chem. B 114(4), 1648–1651
(2010)
28. M.X. Gu, Y.C. Zhou, C.Q. Sun, Local bond average for the thermally induced lattice expansion.
J. Phys. Chem. B 112(27), 7992–7995 (2008)
29. E. Grüneisen, The state of a body. Handb. Phys. 10, 1–52. NASA translation RE2-18-59 W
30. J.L. Hu, W.P. Cai, C.C. Li, Y.J. Gan, L. Chen, In situ x-ray diffraction study of the thermal
expansion of silver nanoparticles in ambient air and vacuum. Appl. Phys. Lett. 86(15), 151915
(2005)
31. L. Li, Y. Zhang, Y.W. Yang, X.H. Huang, G.H. Li, L.D. Zhang, Diameter-depended thermal
expansion properties of Bi nanowire arrays. Appl. Phys. Lett. 87(3), 031912 (2005)
32. T. Comaschi, A. Balerna, S. Mobilio, Temperature dependence of the structural parameters of
gold nanoparticles investigated with EXAFS. Phys. Rev. B 77(7), 075432 (2008)
33. G.A. Slack, S.F. Bartram, Thermal expansion of some diamondlike crystals. J. Appl. Phys.
46(1), 89–98 (1975)
34. R.R. Reeber, K. Wang, Lattice parameters and thermal expansion of GaN. J. Mater. Res. 15(1),
40–44 (2000)
35. Q.H. Tang, T.C. Wang, B.S. Shang, F. Liu, Thermodynamic properties and constitutive relations
of crystals at finite temperature. Sci. China-Phys. Mech. Astron, G 55, 933 (2012)
36. Y.J. Su, H. Wei, R.G. Gao, Z. Yang, J. Zhang, Z.H. Zhong, Y.F. Zhang, Exceptional negative
thermal expansion and viscoelastic properties of graphene oxide paper. Carbon 50(8), 2804–
2809 (2012)
37. C. Martinek, F.A. Hummel, Linear thermal expansion of 3 tungstates. J. Am. Ceram. Soc.
51(4), 227–228 (1968)
38. T.A. Mary, J.S.O. Evans, T. Vogt, A.W. Sleight, Negative thermal expansion from 0.3 to 1050
Kelvin in ZrW 2 O 8 . Science, 272(5258), 90–92 (1996)
39. X. Zhang, J.L. Kuo, M.X. Gu, X.F. Fan, P. Bai, Q.G. Song, C.Q. Sun, Local structure relaxation,
quantum trap depression, and valence charge polarization induced by the shorter-and-stronger
bonds between under-coordinated atoms in gold nanostructures. Nanoscale 2(3), 412–417
(2010)
40. C.Q. Sun, Y. Sun, The attribute of water: single notion, multiple myths. Springer Ser. Chem.
Phys. 113, 494pp (2016) (Heidelberg: Springer-Verlag)
41. R.J. Bruls, H.T. Hintzen, G. de With, R. Metselaar, J.C. van Miltenburg, The temperature
dependence of the Gruneisen parameters of MgSiN2, AlN and beta-Si 3 N 4 . J. Phys. Chem.
Solids 62(4), 783–792 (2001)
42. K.G. Lyon, G.L. Salinger, C.A. Swenson, G.K. White, Linear thermal-expansion measurements
on silicon from 6 to 340 K. J. Appl. Phys. 48(3), 865–868 (1977)
43. R.B. Roberts, Thermal-expansion reference data—silicon 300-850 K. J. Phys. D-Appl. Phys.
14(10), L163–L166 (1981)
44. H.P. Singh, Determination of thermal expansion of germanium rhodium and iridium by x-rays.
Acta Crystallogr. Sect. A, A 24, 469–471 (1968)
21 Theory: Multifield Oscillation Dynamics
22. A. Bai, F. Seiji, Y. Kiyoshi, Y. Masamichi, Surface superstructure of carbon nanotubes on
highly oriented pyrolytic graphite annealed at elevated temperatures. Jpn. J. Appl. Phys. 37(6B),
3809–3811 (1998)
23. T. Balasubramanian, J.N. Andersen, L. Wallden, Surface-bulk core-level splitting in graphite.
Phys. Rev. B 64, 205420 (2001)
24. W.T. Zheng, C.Q. Sun, Underneath the fascinations of carbon nanotubes and graphene
nanoribbons. Energy Environ. Sci. 4(3), 627–655 (2011)
25. X. Zhang, Y.G. Nie, W.T. Zheng, J.L. Kuo, C.Q. Sun, Discriminative generation and hydrogen
modulation of the Dirac-Fermi polarons at graphene edges and atomic vacancies. Carbon
49(11), 3615–3621 (2011)
26. C.O. Girit, J.C. Meyer, R. Erni, M.D. Rossell, C. Kisielowski, L. Yang, C.H. Park, M.F. Crommie, M.L. Cohen, S.G. Louie, A. Zettl, Graphene at the edge: stability and dynamics. Science
323(5922), 1705–1708 (2009)
27. J.W. Li, L.W. Yang, Z.F. Zhou, X.J. Liu, G.F. Xie, Y. Pan, C.Q. Sun, Mechanically stiffened
and thermally softened Raman modes of ZnO crystal. J. Phys. Chem. B 114(4), 1648–1651
(2010)
28. M.X. Gu, Y.C. Zhou, C.Q. Sun, Local bond average for the thermally induced lattice expansion.
J. Phys. Chem. B 112(27), 7992–7995 (2008)
29. E. Grüneisen, The state of a body. Handb. Phys. 10, 1–52. NASA translation RE2-18-59 W
30. J.L. Hu, W.P. Cai, C.C. Li, Y.J. Gan, L. Chen, In situ x-ray diffraction study of the thermal
expansion of silver nanoparticles in ambient air and vacuum. Appl. Phys. Lett. 86(15), 151915
(2005)
31. L. Li, Y. Zhang, Y.W. Yang, X.H. Huang, G.H. Li, L.D. Zhang, Diameter-depended thermal
expansion properties of Bi nanowire arrays. Appl. Phys. Lett. 87(3), 031912 (2005)
32. T. Comaschi, A. Balerna, S. Mobilio, Temperature dependence of the structural parameters of
gold nanoparticles investigated with EXAFS. Phys. Rev. B 77(7), 075432 (2008)
33. G.A. Slack, S.F. Bartram, Thermal expansion of some diamondlike crystals. J. Appl. Phys.
46(1), 89–98 (1975)
34. R.R. Reeber, K. Wang, Lattice parameters and thermal expansion of GaN. J. Mater. Res. 15(1),
40–44 (2000)
35. Q.H. Tang, T.C. Wang, B.S. Shang, F. Liu, Thermodynamic properties and constitutive relations
of crystals at finite temperature. Sci. China-Phys. Mech. Astron, G 55, 933 (2012)
36. Y.J. Su, H. Wei, R.G. Gao, Z. Yang, J. Zhang, Z.H. Zhong, Y.F. Zhang, Exceptional negative
thermal expansion and viscoelastic properties of graphene oxide paper. Carbon 50(8), 2804–
2809 (2012)
37. C. Martinek, F.A. Hummel, Linear thermal expansion of 3 tungstates. J. Am. Ceram. Soc.
51(4), 227–228 (1968)
38. T.A. Mary, J.S.O. Evans, T. Vogt, A.W. Sleight, Negative thermal expansion from 0.3 to 1050
Kelvin in ZrW 2 O 8 . Science, 272(5258), 90–92 (1996)
39. X. Zhang, J.L. Kuo, M.X. Gu, X.F. Fan, P. Bai, Q.G. Song, C.Q. Sun, Local structure relaxation,
quantum trap depression, and valence charge polarization induced by the shorter-and-stronger
bonds between under-coordinated atoms in gold nanostructures. Nanoscale 2(3), 412–417
(2010)
40. C.Q. Sun, Y. Sun, The attribute of water: single notion, multiple myths. Springer Ser. Chem.
Phys. 113, 494pp (2016) (Heidelberg: Springer-Verlag)
41. R.J. Bruls, H.T. Hintzen, G. de With, R. Metselaar, J.C. van Miltenburg, The temperature
dependence of the Gruneisen parameters of MgSiN2, AlN and beta-Si 3 N 4 . J. Phys. Chem.
Solids 62(4), 783–792 (2001)
42. K.G. Lyon, G.L. Salinger, C.A. Swenson, G.K. White, Linear thermal-expansion measurements
on silicon from 6 to 340 K. J. Appl. Phys. 48(3), 865–868 (1977)
43. R.B. Roberts, Thermal-expansion reference data—silicon 300-850 K. J. Phys. D-Appl. Phys.
14(10), L163–L166 (1981)
44. H.P. Singh, Determination of thermal expansion of germanium rhodium and iridium by x-rays.
Acta Crystallogr. Sect. A, A 24, 469–471 (1968)