What is Helmholtz function? Explain and derivation.
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What is Helmholtz function? Explain and derivation.
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- Which of the following is true regarding the Rayleigh Jeans law? (select all that apply) O It is based on classical thermodynamics O It is based on quantum physics O The predictions for the spectral emission of light (intensity as a function of temperature and wavelength) matched with experimental data for small wavelengths (high frequency) O The predictions for the spectral emission of light (intensity as a fucntion of temperature and wavelength) matched with experimental data for large wavelengths (low frequency)Statistical mechanics Kittel14. Wavefunctions in density functional theory are approximated by a summation of plane waves. A typical plane wave cutoff (i.e. the highest energy planewave used in the approximation) is on the order of about 20 Hartrees. (a) Compare the wavelength of the highest-energy planewave to the length scale of typical interatomic distances. (b) Interpret your answer to (a) and explain briefly how the sum of plane waves is able to produce an approximation of the wavefunction.