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Electron Poor Materials Research Group Meeting: Predicting ZT in Toy Test Problem

Join the Electron Poor Materials Research Group meeting on Sept. 08, 2010, to understand the road to predicting ZT in a toy test problem involving conduction band properties. Explore the quantum and classical aspects of carrier density (chemical potential), temperature (T), energy gap (Eg), and effective mass (m*). Dive into transport integrals and analysis to improve results. Let's work together to decipher the degenerate and classical limits, electron density variations with chemical potential, and the nuances of conduction band properties at Eg=1eV. Please note that current results may contain errors, but we are dedicated to refining our methods for accurate outcomes.

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Electron Poor Materials Research Group Meeting: Predicting ZT in Toy Test Problem

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  1. Electron poor materials research group Group meeting Sept. 08, 2010 On the road to: Given Eg, m*, Chemical potential (i.e. carrier density), T, Etc. Predict ZT.

  2. Toy test problem. 1 conduction band, m*=m, Eg=1eV, isotropic band. Amounts to a free electron gas, either a quantum gas if Ef>Eg, or a classical Boltzmann gas if Ef<<EG. Transport integrals: Tn = - Integral vk vk tau(k) (Ek- mu)**n (df(Ek)/dEk d3k Sigma= e**2 T0 Seebeck = -1/e T1 * T0**-1 Thermal Kappa (e-part)= 1/T (T2-T1*T1*T0**-1) All in mks unit. Results not reliable. Clear errors. Will fix. Plan – Work out on a sheet of paper the degenerate limit and classical limit.

  3. Tn vs. Chemical potential (Ef). Conduction band at 1eV.

  4. Electron density vs. Chemical Potential Ef. Density in m**-3 10**6 cm**-3

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