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Dielectrics 1

Dielectrics 1

Dielectrics 1. Prof. Kee-Joe Lim kjlim@chungbuk.ac.kr , 261-2424 School of Electrical and Computer Engineering Chungbuk National University http://imt.cbucc.net 2008/9/1. 1. ????. [1] Basic principles [2] Ferroelectric ceramics - Ferroelectric

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Modified Entropic Force. ??? ??????????. I. Introduction II. Modified Newtonian Gravity III. Modified Friedmann equation IV. Conclusion and discussion. Classical Black Holes. ????? , ????? , ????. Quantum Black holes. ??????? , ????? , ????.

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And finally differentiate U w.r.t. to T to get the heat capacity.

And finally differentiate U w.r.t. to T to get the heat capacity.

And finally differentiate U w.r.t. to T to get the heat capacity. . Notes. Qualitatively works quite well Hi T ? 3 R (Dulong/Petit) Lo T ?0 Different crystals are reflected by differing Einstein T (masses and bond strengths).

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Solid state Phys.

Solid state Phys.

Solid state Phys. Chapter 2. Thermal and electrical properties. Chapter Four Thermal and electrical properties. Aim : To provide an overwiev of the description of thermal properties of solids, particularly insulators, using the dynamics of lattice vibrations .

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Heat capacity of the lattice

Heat capacity of the lattice

Heat capacity of the lattice. General Theories. Thermodynamics. for. no numerical value at finite T. Classical Statistical Mechanics. Dulong-Petit law, numerical value independent of T. For details see Mandl. Classical Statistical Mechanics. Heat capacity: classical thermodynamics.

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2.68k views • 16 slides
Lecture 12b Debye Model of Solid

Lecture 12b Debye Model of Solid

Lecture 12b Debye Model of Solid. Debye model - phonon density of states The partition function Thermodynamic functions Low and high temperature limits. Real crystal - waves. There are mechanical/thermal waves in a crystal since atoms are connected to each other and they all move.

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Debye model

Debye model

Debye model.

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HW #3, 406, due March 6, 2014

HW #3, 406, due March 6, 2014

HW #3, 406, due March 6, 2014. [1] Describe atomic motions of zone boundary phonon modes with a two-different-atoms basis that was discussed in class. [2] Do Chapter 3 [13] of Omar. [3]. [4].

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