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| Keywords: Absolute Seebeck coefficients of various metals up to high temperatures.svg en Absolute Seebeck coefficients of various metals up to high temperatures mainly from Cusack Kendall 1958 The data for lead Pb is from Christian Jan Pearson Templeton 1958 2014-01-11 19 35 15 own Nanite Source Created with Matplotlib 1 Plots of absolute Seebeck coefficients of some materials DATA SOURCES ------------ Variables starting as CJPT_ are data from Christian Jan Pearson Templeton Thermo-Electricity at Low Temperatures VI A Redetermination of the Absolute Scale of Thermo-Electric Power of Lead Proc R Soc Lond A1958 245 published 3 June 1958 doi 10 1098/rspa 1958 0078 Variables starting as CK_ are data from Cusack Kendall The Absolute Scale of Thermoelectric Power at High Temperature Proceedings of the Physical Society 72 5 898 1958 doi 10 1088/0370-1328/72/5/429 from pylab import import numpy as np nan np nan from scipy interpolate import interp1d figtype ' svg' saveopts 'bbox_inches' 'tight' 'transparent' True 'frameon' True axsize 0 17 0 14 0 8 0 83 DATA Critical temperature of Pb at H 0 Below this temperature they measured Seebeck coef 0 CJPT_Tcrit_Pb 7 15 Table 1 Absolute thermo-electric power of lead T K S uV/K CJPT_1_T CJPT_1_S_Pb np array 7 25 -0 204 7 5 -0 221 8 0 -0 257 8 5 -0 297 9 0 -0 343 9 5 -0 390 10 0 -0 434 10 5 -0 475 11 0 -0 516 11 5 -0 556 12 0 -0 593 12 5 -0 628 13 0 -0 658 13 5 -0 683 14 0 -0 706 14 5 -0 728 15 0 -0 746 15 5 -0 760 16 0 -0 771 16 5 -0 777 17 0 -0 781 17 5 -0 783 18 0 -0 7845 19 0 -0 7845 20 0 -0 784 reshape -1 2 T Table 2 Absolute thermo-electric power of lead at high T combining Borelius results T K S uV/K CJPT_2_T CJPT_2_S_Pb np array 20 -0 784 30 -0 774 40 -0 764 50 -0 774 60 -0 779 70 -0 784 80 -0 794 90 -0 824 100 -0 865 113 2 -0 91 133 2 -0 96 153 2 -1 02 173 2 -1 06 193 2 -1 105 213 2 -1 15 233 2 -1 18 253 2 -1 21 273 2 -1 25 293 2 -1 275 reshape -1 2 T Fake showing superconducting behaviour of Pb CJPT_0_T CJPT_0_S_Pb np array 0 0 CJPT_Tcrit_Pb 0 reshape -1 2 T Main table in the CK paper The paper's figure includes more data below 100K but unfortunately the data was not included in the table CK_data np array 100 1 19 0 73 0 82 4 29 2 00 nan nan 150 1 12 0 85 1 02 1 32 -1 63 nan nan 200 1 29 1 05 1 34 -1 27 -4 85 nan nan 273 1 70 1 38 1 79 -4 45 -9 00 0 13 4 71 300 1 83 1 51 1 94 -5 28 -9 99 1 07 5 57 400 2 34 2 08 2 46 -7 83 -13 00 4 44 8 52 500 2 83 2 82 2 86 -9 89 -16 03 7 53 11 12 600 3 33 3 72 3 18 -11 66 -19 06 10 29 13 27 700 3 83 4 72 3 43 -13 31 -22 09 12 66 14 94 800 4 34 5 77 3 63 -14 88 -25 12 14 65 16 13 900 4 85 6 85 3 77 -16 39 -28 15 16 28 16 86 1000 5 36 7 95 3 85 -17 86 -31 18 17 57 17 16 1100 5 88 9 06 3 88 -19 29 -34 21 18 53 17 08 1200 6 40 10 15 3 86 -20 69 -37 24 19 18 16 65 1300 6 91 nan 3 78 -22 06 -40 27 19 53 15 92 1400 nan nan nan -23 41 -43 30 19 60 14 94 1600 nan nan nan -26 06 -49 36 18 97 12 42 1800 nan nan nan -28 66 -55 42 17 41 9 52 2000 nan nan nan -31 23 -61 48 15 05 6 67 2200 nan nan nan nan nan 12 01 4 30 2400 nan nan nan nan nan 8 39 2 87 reshape -1 8 T CK_T CK_data0 CK_mats 'Cu' 'Ag' 'Au' 'Pt' 'Pd' 'W' 'Mo' CK_S dict zip CK_mats CK_data1 Construct interpolating functions for smooth curves def inty t v Make interpolation cubic valid ~isnan v return interp1d tvalid vvalid kind 'cubic' bounds_error False CK_Si k inty CK_T v for k v in CK_S items CJPT_1_S_Pbi inty CJPT_1_T CJPT_1_S_Pb CJPT_2_S_Pbi inty CJPT_2_T CJPT_2_S_Pb PLOTS close 'all' fig figure fig set_size_inches 3 3 fig patch set_alpha 0 ax axes axsize ax tick_params labelsize x-small ax yaxis set_label_coords -0 15 0 5 title 'Low T' xlabel 'Temperature K ' ylabel u'Seebeck coef \u03BCV/K ' xlim 0 42 ylim -0 9 0 1 newT linspace 0 42 451 plot CJPT_0_T CJPT_0_S_Pb color 'k' plot CJPT_1_T CJPT_1_S_Pb '+' markersize 3 color 'k' plot newT CJPT_1_S_Pbi newT color 'k' axvline CJPT_Tcrit_Pb linestyle 'dashed' linewidth 0 5 plot CJPT_2_T CJPT_2_S_Pb 'o' markersize 3 color 'k' plot newT CJPT_2_S_Pbi newT linestyle 'dotted' color 'k' savefig 'abs_seebeck_low'+figtype saveopts fig figure fig set_size_inches 3 3 fig patch set_alpha 0 ax axes axsize ax tick_params labelsize x-small ax yaxis set_label_coords -0 15 0 5 xlabel 'Temperature K ' ylabel u'Seebeck coef \u03BCV/K ' xlim 0 2700 ylim -64 22 title 'High T' col dict newT linspace 0 2500 501 for m in CK_mats l plot newT CK_Sim newT label m 0 colm l get_color for m in CK_mats plot CK_T CK_Sm '+' markersize 3 color colm label m lastvalid len CK_T - 1 - argmax ~isnan CK_Sm -1 text CK_Tlastvalid CK_Smlastvalid ' '+m fontsize 'x-small' color colm va 'center' plot CJPT_1_T CJPT_1_S_Pb color 'k' plot CJPT_2_T CJPT_2_S_Pb color 'k' label 'Pb' text CJPT_2_T-1 CJPT_2_S_Pb-1 ' Pb' fontsize 'x-small' color 'k' va 'center' savefig 'abs_seebeck_high'+figtype saveopts legend loc 'lower right' cc-zero Uploaded with UploadWizard Thermoelectricity Images with Python source code | ||||
