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- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Statistical_Thermodynamics_(Jeschke)/zz%3A_Back_Matter/10%3A_Index
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Electron_Paramagnetic_Resonance_(Jenschke)/01%3A_Introduction
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Statistical_Thermodynamics_(Jeschke)/07%3A_Macromolecules
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Statistical_Thermodynamics_(Jeschke)/00%3A_Front_Matter/04%3A_General_RemarksThis will set the stage for discussing the concepts of irreversibility and entropy in Chapter . We will complete the foundations part with a discussion of quantum ensembles in Chapter . This Chapter w...This will set the stage for discussing the concepts of irreversibility and entropy in Chapter . We will complete the foundations part with a discussion of quantum ensembles in Chapter . This Chapter will also make the transition to applications, by treating first the harmonic oscillator and second the Einstein model of a crystal with the apparatus that we command at that point.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Electron_Paramagnetic_Resonance_(Jenschke)/09%3A_Distance_Distribution_Measurements/9.03%3A_Conversion_of_dipolar_evolution_data_to_distance_distributionsThe red circle marks a too large regularization parameter that leads to oversmoothing. (b) Input form factor (black) and simulation for the too large regularization parameter corresponding to the red ...The red circle marks a too large regularization parameter that leads to oversmoothing. (b) Input form factor (black) and simulation for the too large regularization parameter corresponding to the red circle in the L curve. (c) Theoretical distance distribution used for simulating a noiseless form factor (green) and distance distribution extracted from the noisy form factor with optimum regularization parameter corresponding to the green circle in the L curve (black). (d) (c) Th…
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Electron_Paramagnetic_Resonance_(Jenschke)/09%3A_Distance_Distribution_Measurements
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Statistical_Thermodynamics_(Jeschke)/03%3A_Classical_Ensembles/3.04%3A_Grand_Canonical_EnsembleIf we assume that the system is in chemical as well as thermal equilibrium with its environment, the new constant of motion is the chemical potential μ, or more precisely, a vector →μ...If we assume that the system is in chemical as well as thermal equilibrium with its environment, the new constant of motion is the chemical potential μ, or more precisely, a vector →μ of the chemical potentials μk of all components.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Electron_Paramagnetic_Resonance_(Jenschke)/07%3A_CW_EPR_Spectroscopy/7.01%3A_Why_and_how_CW_EPR_spectroscopy_is_doneThis means that all microwave power coming from the source that is incident to the resonator enters the resonator and is converted to heat by the impedance (complex resistance) of the resonator. Phase...This means that all microwave power coming from the source that is incident to the resonator enters the resonator and is converted to heat by the impedance (complex resistance) of the resonator. Phase-sensitive detection measures this amplitude ΔV, which is proportional to the derivative of the grey absorption lineshape and to ΔB0, as long as ΔB0 is much smaller than the peak-to-peak linewidth ΔBpp of the line.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Statistical_Thermodynamics_(Jeschke)/04%3A_Entropy/4.01%3A_Swendsens_Postulates_of_ThermodynamicsWe can, therefore, conclude that Boltzmann’s entropy definition, as further specified in Equation ???, fulfills those of Swendsen’s postulates that we have already tested and th...We can, therefore, conclude that Boltzmann’s entropy definition, as further specified in Equation ???, fulfills those of Swendsen’s postulates that we have already tested and that the core idea behind it, maximization of probability (density) at equilibrium is consistent with our derivation of the partition function for a canonical ensemble at thermal equilibrium.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Statistical_Thermodynamics_(Jeschke)/03%3A_Classical_Ensembles/3.02%3A_Microcanonical_EnsembleIf our ensemble of N spins would be a microcanonical ensemble, this energy would be either E=ℏgeμBB0/2 or E=−ℏgeμBB0/2 and all spins in the en...If our ensemble of N spins would be a microcanonical ensemble, this energy would be either E=ℏgeμBB0/2 or E=−ℏgeμBB0/2 and all spins in the ensemble would have to be in the same state, i.e., the ensemble would be in a pure state.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Electron_Paramagnetic_Resonance_(Jenschke)/02%3A_Electron_spin/2.02%3A_Interactions_in_electron-nuclear_spin_systems\[\begin{aligned} & \hat{\mathcal{H}}_{0}=\hat{\mathcal{H}}_{\mathrm{EZ}}+\hat{\mathcal{H}}_{\mathrm{NZ}}+\hat{\mathcal{H}}_{\mathrm{HFI}}+\hat{\mathcal{H}}_{\mathrm{ZFI}}+\hat{\mathcal{H}}_{\mathrm{E...\[\begin{aligned} & \hat{\mathcal{H}}_{0}=\hat{\mathcal{H}}_{\mathrm{EZ}}+\hat{\mathcal{H}}_{\mathrm{NZ}}+\hat{\mathcal{H}}_{\mathrm{HFI}}+\hat{\mathcal{H}}_{\mathrm{ZFI}}+\hat{\mathcal{H}}_{\mathrm{EX}}+\hat{\mathcal{H}}_{\mathrm{DD}}+\hat{\mathcal{H}}_{\mathrm{NQI}} \\ & =\frac{\mu_{\mathrm{B}}}{\hbar} \sum_{k} \vec{B}_{0}^{\mathrm{T}} \mathbf{g}_{k} \overrightarrow{\hat{S}}_{k}+\sum_{i} \omega_{I, i} \hat{I}_{z, i}+\sum_{k} \sum_{i} \overrightarrow{\hat{S}}_{k}^{\mathrm{T}} \mathbf{A}_{k i} …
