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THERMAL PROPERTIES, LUA YU HUI A19SC0158 - Coggle Diagram
THERMAL PROPERTIES
THERMAL PROPERTIES I
THERMAL ENERGY
DETERMINE THERMAL PROPERTIES OF A SOLID
HEAT CAPACITY
VOLUME COMPRESSIBILITY
VOLUME THERMAL EXPANSION COEFFICIENT
AMOUNT OF HEAT ABSORBED BY SYSTEM PER UNIT CHANGE IN TEMPERATURE
Cv OF FREE PARTICLES
AVERAGE THERMAL ENERGY
THREE DEGREE OF FREEDOM
HARMONIC OSCILLATOR POTENTIAL
AVERAGE THERMAL ENERGY
ENERGY OF OSCILLATOR
CLASSICAL RESULTS
N FREE PARTICLES
AVERAGE THERMAL ENERGY
HEAT CAPACITY BY DIFFERENTIATING AVERAGE PHONON ENERGY
THERMAL PROPERTIES II
GENERAL RESULTS FOR OSCILLATOR
TOTAL ENERGY OF PHONONS IN EQUILIBRIUM STATE
AVERAGE ENERGY OF PHONONS WITH FREQUENCY AND IN Q MODE
EINSTEIN'S MODEL
PLANCK QUANTIZATION RULE
OCCUPATION OF ENERGY LEVEL ( PROBABILITY OF OSCILLATOR )
AVE TOTAL ENERGY OF SOLID
PLANCK EQN AVE TOTAL ENERGY
EINSTEIN TEMPERATURE
LIMITING BEHAVIOUR OF Cv
LOW TEMP LIMIT
HIGH TEMP LIMIT
HEAT CAPACITY EQN
DEBYE'S MODEL
LOW TEMPERATURE LIMIT
HIGH TEMPERATURE LIMIT
CLASSICAL DULONG - PETIT RESULT
WHY DEBYE'S MODEL IS BETTER THAN EINSTEIN
CAN GIVE A BETTER REPRESENTATION FOR VERY LOW ENERGY VIBRATIONS
AT LOW TEMP,VIBRATIONS MATTER MOST
LIMITS OF DEBYE MODEL
DERIVATIONS OF SPECIFIC HEAT
AVE PHONON ENERGY WITH FREQUENCY
THERMAL ENERGY FOR POLARIZATION
3 POLARIZATION TYPES
1 LONGITUDE
2 TRANSVERSE
PHONON VELOCITY IS INDEPENDENT OF POLARIZATION
HEAT CAPACITY ( MULTIPLY BY 3 )
DEBYE TEMP
DEBYE FREQUENCY
LUA YU HUI A19SC0158