23.4 Summary
463
0.6
0.7
0.8
0.9
1.0
(a)
(b)
(c)
(d)
KCl
Y(T)/Y(0)
T(K)
0.7
0.8
0.9
1.0
Mg 2 SO 4
Al 2 O 3
MgO
Y(T)/Y(0)
T (K)
1.000
1.004
1.008
1.012
1.016
L(K)/L(0)
T (K)
Theory
Theory
BaNbO 3
BaTiO 3
BaZrO 3
0
200
400
600
800
0
400
800 1200 1600 2000
0
200
400
600
800 1000
0
200 400 600 800 1000
0.6
0.7
0.8
0.9
1.0
Y(T) / Y(0)
T (K)
BaTiO 3
BaZrO 3
BaNbO 3
Fig. 23.12 Theoretical reproduction (continued lines) of the measured (scattered data) T-dependent
Young’s modulus and lattice constant for various specimens [80, 81, 106], with derived information
of mean atomic cohesive energy as listed in Table 23.7
energy density and elasticity. The phonon and elasticity relaxation under perturbation results merely bond length and energy relaxation, which has little to do with the
multiple phonon resonant scatter or the optical phonon degeneration into multiple
acoustic phonons.
References
1. J.E. Spanier, R.D. Robinson, F. Zheng, S.W. Chan, I.P. Herman, Size-dependent properties of
CeO 2 -y nanoparticles as studied by Raman scattering. Phys. Rev. B 64(24), 245407 (2001)
2. S. Park, D.E. Moilanen, M.D. Fayer, Water dynamics: the effects of ions and nanoconfinement.
J. Phys. Chem. B 112(17), 5279–5290 (2008)
3. Y.L. Huang, X. Zhang, Z.S. Ma, Y.C. Zhou, W.T. Zheng, J. Zhou, C.Q. Sun, Hydrogen-bond
relaxation dynamics: resolving mysteries of water ice. Coord. Chem. Rev. 285, 109–165
(2015)
4. C.Q. Sun, B.K. Tay, X.T. Zeng, S. Li, T.P. Chen, J. Zhou, H.L. Bai, E.Y. Jiang, Bondorder-bond-length-bond-strength (bond-OLS) correlation mechanism for the shape-and-size
dependence of a nanosolid. J. Phys.-Condens. Matter 14(34), 7781–7795 (2002)
463
0.6
0.7
0.8
0.9
1.0
(a)
(b)
(c)
(d)
KCl
Y(T)/Y(0)
T(K)
0.7
0.8
0.9
1.0
Mg 2 SO 4
Al 2 O 3
MgO
Y(T)/Y(0)
T (K)
1.000
1.004
1.008
1.012
1.016
L(K)/L(0)
T (K)
Theory
Theory
BaNbO 3
BaTiO 3
BaZrO 3
0
200
400
600
800
0
400
800 1200 1600 2000
0
200
400
600
800 1000
0
200 400 600 800 1000
0.6
0.7
0.8
0.9
1.0
Y(T) / Y(0)
T (K)
BaTiO 3
BaZrO 3
BaNbO 3
Fig. 23.12 Theoretical reproduction (continued lines) of the measured (scattered data) T-dependent
Young’s modulus and lattice constant for various specimens [80, 81, 106], with derived information
of mean atomic cohesive energy as listed in Table 23.7
energy density and elasticity. The phonon and elasticity relaxation under perturbation results merely bond length and energy relaxation, which has little to do with the
multiple phonon resonant scatter or the optical phonon degeneration into multiple
acoustic phonons.
References
1. J.E. Spanier, R.D. Robinson, F. Zheng, S.W. Chan, I.P. Herman, Size-dependent properties of
CeO 2 -y nanoparticles as studied by Raman scattering. Phys. Rev. B 64(24), 245407 (2001)
2. S. Park, D.E. Moilanen, M.D. Fayer, Water dynamics: the effects of ions and nanoconfinement.
J. Phys. Chem. B 112(17), 5279–5290 (2008)
3. Y.L. Huang, X. Zhang, Z.S. Ma, Y.C. Zhou, W.T. Zheng, J. Zhou, C.Q. Sun, Hydrogen-bond
relaxation dynamics: resolving mysteries of water ice. Coord. Chem. Rev. 285, 109–165
(2015)
4. C.Q. Sun, B.K. Tay, X.T. Zeng, S. Li, T.P. Chen, J. Zhou, H.L. Bai, E.Y. Jiang, Bondorder-bond-length-bond-strength (bond-OLS) correlation mechanism for the shape-and-size
dependence of a nanosolid. J. Phys.-Condens. Matter 14(34), 7781–7795 (2002)