2.HT Statistical Mechanics Flashcards
1
Q
- what is meant by the postulate of a priori probability
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2
Q
- what is Stirling’s Theorem
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3
Q
- what is the meant by the postulate of the law of large numbers
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4
Q
- what is the equation for the number of micro states associated with a particular macrostate
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5
Q
- what is the dominating configuration
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6
Q
- what is the postulate of Boltzman’s law
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7
Q
- what is the 0th law of thermodynamics
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8
Q
- what is meant by an ensemble
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9
Q
- what is meant by the postulate of the ergodic hypothesis
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10
Q
- what is meant by the microcanonical ensemble
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11
Q
- what is meant by the canonical ensemble
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12
Q
- what is the Boltzman Distribution
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13
Q
- what is the Canonical Partition Function
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14
Q
- what is the equation for the internal energy
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15
Q
- express S in terms of its thermodynamic relation and in terms of Q
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16
Q
- express p in terms of its thermodynamic relation and in terms of Q
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17
Q
- express H in terms of its thermodynamic relation and in terms of Q
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18
Q
- express G in terms of its thermodynamic relation and in terms of Q
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19
Q
- what is the Canonical Partition Function for indistinguishable particles
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20
Q
- what is the Canonical Partition Function for distinguishable particles
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21
Q
- under what conditions do Boltzmann/ Fermi-Dirac/ Bose-Einstein statistics apply
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22
Q
- express the molecular partition function as a product of its components
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23
Q
- what is the translational molecular partition function for particle in a box and what is the de Broglie wavelength
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24
Q
- what is the molecular partition function for ideal monoatomic gas
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25
Q
- what is the electronic partition function
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26
Q
- what is the Sackur-Tetrode equation
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27
Q
- explain what is meant by the rigid rotor model
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28
Q
- what is the equation for number of rotational states according to the rigid rotor model and the Boltzmann Distribution
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29
Q
- what is the equation for the rotational molecular partition function of heternuclear diatomics
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30
Q
- what is the equation for the rotational molecular partition function of homonuclear diatomics
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31
Q
- what is the exchange operator for sermonic and bosonic wavefunctions
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32
Q
- what is the equation for the magnitude of the nuclear spin quantum number
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33
Q
- what is the equation for the z-component of the nuclear spin quantum number
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34
Q
- what are the general formula used for calculating the nuclear spin statistics
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35
Q
- what is the ** RATIO OF SYMMETRIC VS ANTISYMMETRIC …. I + 1 / I … NOT SURE **
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36
Q
- plot the graph of rotational heat capacity against temperature from
i) pure rotational molecular partition function (no spin effects)
ii) full rotational molecular partition function (with spin effects)
iii) experimental heat capacity
and explain the hump on the graph of (i)
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37
Q
- what is the consequence of the Born-Oppenheimer approximation in terms of the components of the molecular partition functions
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38
Q
- plot the vibrational contribution to the internal energy (for single harmonic mode) as a function of temperature
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39
Q
- plot the contribution to the heat capacity from one harmonic vibrational mode as a function of temperature
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40
Q
- what is the standard Gibbs free energy of reaction
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41
Q
- what is the Gibbs free energy of reaction in terms of q
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42
Q
- what is the K(T) in terms of q
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43
Q
- what is the Saha equation
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44
Q
- what is the Arrhenius equation
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45
Q
- explain what is meant by Transition State Theory
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46
Q
- what is the Eyring equation and what are its assumptions
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47
Q
* DERIVATIONS*
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