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hall dimensions hall view raw hall resistivity hall voltage

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[bofh@odin Hall_Effect]$ addpath labs[bofh@odin Hall_Effect]$Ã�^Eo�q%h°`�kufO�9�Yh+b�gsp�bFo\k9o°_aj�k9c�o°b7_rn*h\d�k9cenwp�t!ceb7bF�apHh+j�cefO�%^Jd�o��a�ah\bsüFý\þ9ý�~

[bofh@odin Hall_Effect]$ ls -l datatotal 272-rw-r--r-- 1 bofh daemon 84923 Oct 13 22:51 forward-rw-r--r-- 1 bofh daemon 96683 Oct 6 21:26 nofield-rw-r--r-- 1 bofh daemon 92297 Oct 13 22:51 reverse

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[bofh@odin Hall_Effect]$ÃO�%fOh\`l`#k9^�h°¦Onw`lk²fO`lh\�YfO�%k9o\`�{�v�c%fO�ab�yzh§kuc�gso\{Eh°`lfOn"h³k9^Eh§b7o\k9o�_a`#vJ^Eo�k7v�h°k9^�_aj�{J_rk²_a`l~F]7^Eh|b7o\k9o�_a`#k9_agih+`lk9o\gimOh+bs_aj¥o��� È�d�cegimO�a_ao�jEk�gso�jEj�h+n9t�pEcef¥d�o�jJdQn"ce`l`3n"h+�Yh+n"h+j�d�hxk9^E_r`#v�_rk9^Jk9^�h�h+jEk9nw_rh+`1_ajJp%cefOnz�ace�E} yzcece{E~

[bofh@odin Hall_Effect]$ hall_process -i data/*data/forward: 918 pointsAcquired over the interval: Fri Oct 4 12:46:48 1996 -Fri Oct 4 18:05:02 1996Temperature range: 144.567 - 403.414 KV[1] = -2.605 - 0.343 mV V[2] = -0.685 - 3.426 mVV[3] = 27.443 - 122.508 mV V[4] = 9.998 - 10.045 mVV[5] = 10.534 - 49.690 mV V[6] = 12.480 - 56.154 mVV[7] = 9.872 - 39.903 mV V[8] = -4.141 - 5.725 mV

data/nofield: 1048 pointsAcquired over the interval: Thu Oct 3 17:40:59 1996 -Thu Oct 3 23:41:21 1996Temperature range: 143.347 - 397.253 KV[1] = -0.087 - 0.119 mV V[2] = 1.375 - 5.190 mVV[3] = 23.988 - 119.317 mV V[4] = 9.984 - 10.044 mVV[5] = 9.378 - 48.606 mV V[6] = 10.816 - 54.521 mVV[7] = 7.389 - 37.356 mV V[8] = -4.172 - 5.426 mV

data/reverse: 1010 pointsAcquired over the interval: Sat Oct 5 08:29:40 1996 -Sat Oct 5 14:19:29 1996Temperature range: 128.373 - 394.284 KV[1] = 2.514 - 3.258 mV V[2] = 3.498 - 8.389 mVV[3] = 20.936 - 123.452 mV V[4] = 9.964 - 10.042 mVV[5] = 8.039 - 50.383 mV V[6] = 9.081 - 56.083 mVV[7] = 5.394 - 37.331 mV V[8] = -4.566 - 5.282 mV

[bofh@odin Hall_Effect]$]7^�h+`lh��rcece{>k9c>gih��a_a{Eh�k9^Eh°bFo\k9o§¦O�rh+`#ce�OªFfOd�{Ep>]%_r�%h+n9~²]7^�h

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b7h+�Yo\fO�rk%o�d�k9_ac%jEt�v�^�_adQ^JvJcefO�ab�j�cek²gso\{Eh³o°�acek�ce��`lh+j�`lh³_rj�k9^E_r`#dQo\`lh\~%ª7h+kEfO`#¦Onw`lkEh+±Ao\gs_rjEh�k9^�h�b7o\k9o�¦O�ahnofield

~[bofh@odin Hall_Effect]$ hall_process data/nofielddata/nofield: 1048 pointsAcquired over the interval: Thu Oct 3 17:40:59 1996 -Thu Oct 3 23:41:21 1996Temperature range: 143.347 - 397.253 KV[1] = -0.087 - 0.119 mV V[2] = 1.375 - 5.190 mVV[3] = 23.988 - 119.317 mV V[4] = 9.984 - 10.044 mVV[5] = 9.378 - 48.606 mV V[6] = 10.816 - 54.521 mVV[7] = 7.389 - 37.356 mV V[8] = -4.172 - 5.426 mV

[bofh@odin Hall_Effect]$

[bofh@odin Hall_Effect]$ ls -l data/*-rw-r--r-- 1 bofh daemon 84923 Oct 13 22:51 data/forward-rw-r--r-- 1 bofh daemon 96683 Oct 6 21:26 data/nofield-rw-r--r-- 1 bofh daemon 5026 Oct 20 11:42 data/nofield.1-rw-r--r-- 1 bofh daemon 4903 Oct 20 11:42 data/nofield.2-rw-r--r-- 1 bofh daemon 4799 Oct 20 11:42 data/nofield.3-rw-r--r-- 1 bofh daemon 4902 Oct 20 11:42 data/nofield.4-rw-r--r-- 1 bofh daemon 4908 Oct 20 11:42 data/nofield.5-rw-r--r-- 1 bofh daemon 4879 Oct 20 11:42 data/nofield.6-rw-r--r-- 1 bofh daemon 4885 Oct 20 11:42 data/nofield.7-rw-r--r-- 1 bofh daemon 14036 Oct 20 11:42 data/nofield.8-rw-r--r-- 1 bofh daemon 92297 Oct 13 22:51 data/reverse[bofh@odin Hall_Effect]$]7^�hJbFo\k9o�^Eo�q%h§yzh+h+j¥y�_aj�jEh+b´yzp�k9h+gsmOh\nwo\k9fOn"h+t7fO`l_rjE��o�b7h+�Yo�fO�ak²y�_aj�v�_rb7k9^Lce�#  ȳ~7ªFh+k9`§`�h+h�^�cevìk9^Eh¥k9h+gsmOh+nwo�k9fOn*h

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Óset nologscaleset xlabel "Time (minutes)"set ylabel "Temperature (K)"plot "<awk ’{print $1/60,$2}’ data/nofield.8" title ’ ’ with dotsÃ�d�o�jJ�rcece{�o\k�k9^Eh��Enwo\mO^JfO`l_aj���k9^Eh�dQcegsgio\j�b[bofh@odin Hall_Effect]$ gnuview T-vs-t.gnu[bofh@odin Hall_Effect]$åH{%tEmOh+n"^Eo�mO`�h+q%h+jiku^�h�gscen"h�^Eo�n"b7h+j�h+b�q%h+k9h+nwo�jE`�ce��gsp ¿�¿\£>�rowy¶o\n"hHv�c%jEb7h\nw_aj�����µN^Eo�k3cejih+o�nwk9^s_a`�k9^�o\k3mO�acekz`lk9o\k9h+}gsh+j�kF_aj´k9^Eh�`�d�nw_rmOk������˵N^Eo�kzÃ�o\gìb7c%_aj�� ^Eh+n"h�_a`�fO`�_aj�� o\v�{ o�`�o>mOn"h+mOn"cedQh+`l`�cen1�YcenBk9^�h��%nwo�mO^sb7o\k9o�~|]7^�hHku_rgshHb7o\k9o>_rjnofield.8

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o°�ao�n*�Eh+nAyz_rjJvJ_ab7k9^J_aj�k9^�_a`#n"h+�E_acej�k9c��Eh+k%`�kuo�k9_a`lk9_rd�o��eb7o\k9o�~Ê%_r�%fOn"hx¿\~O_a`B`l^�cev�j�k9c�d��ro\nw_r�Yp>k9^Eh°qEo\nw_rcefO`#n"h+�Yh+n"h+j�d�h³mOce_rjEk9`�~Oº�cek9_adQh�k9^Eo�kOgsp>�rowyzh+�r_aj���ce�²k9^�h°b7_agih+jE`�_acej�`#_r`#b7_a�9�Yh+n"h+j�k

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qp -x "Time (minutes)" -y "Temperature (K)" "<awk ’print C $1/60, C $2’ data/nofield.8" > T-vs-t.gnuD 462 @FE 4 EG =.132HI: E 2 G =.: G 7 = BKJ BML&N 2PO�50L&2+2?:RQPL&:3OS2 T&5�2U

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576987:1;l<#�3?F����<9"H;$6%'� C%Pª7h+kEfO`3jEcev�h+±Ao\gs_rjEh³k9^Eh�qEce�ak9o��%h+`3b7n"cemOmOh+b°yzh+k9v�h\h+j�k9^�h�d�cej�j�h+d�k9_rcejE`B�¥o�jEb�Ê!t�o\j�b¥dQcej�jEh\d�k9_ac%jE`#�¶o\j�b ¹7~+]7^�h+`lh³o�n*hd�e t�o\j�b d�f n*h\`lmOh+dQk9_aq%h\�ap�~¨ jEcek9^�h+n3^Eo�`lk9_a�rp�d�c%jEdQcedQkuh\b

gnuplot`�d�nw_rmOkut

Vlat.gnu

set nologscaleset xlabel "Temperature (K)"set ylabel "Voltage Drop (mV)"plot "<awk ’{print $1,1000*$2,1000*$3}’ data/nofield.5" using 1:2:3 title ’V5’ with error, \

"<awk ’{print $1,1000*$2,1000*$3}’ data/nofield.6" using 1:2:3 title ’V6’ with error¨ `1p%cef¥d�o�jJ`�h+h³k9^Eh�o�v�{>k9nw_adQ{%h\nwp�^�o\`Oyzh+h+jJfO`lh+b�k9c�d�c%jEqEh+nwkEqEce�ak9`1_rjEk9c�gs_r�a�a_rq%ce�rk9`1�Ycenzh\o\`lp�c%�EqE_ah+vJ_aj��%~

g

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tage

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Temperature (K)

V5V6

576987:1;�<#V�?Fi#MOPj�­C%87<�%#kml�C%I�Rnkmo¨ `#mOn"h+b7_adQk9h+b¥ku^�h+n"h�_a`Bo°b7o\k9o§b7h+¦OdQ_ak�_aj¥ku^�h°n"h+�E_acej>vJ^Eh\n*h³k9^�h°k9h+gsmOh+nwo�kufOn"h�ce��k9^Eh|d�nwpE`lk9o\�evJo\`V_aj�d�n"h+o�`l_aj���nwo\mO_rb7�ap�~E]�c

d�cegimOh+jE`�o\k9h��Ycenzku^�_a`�t�vJh�d�o�jJ_rjEdQn"h+o\`�hVk9^�h3yz_rjEj�_aj��>v�_rb7k9^E~[bofh@odin Hall_Effect]$ hall_process -b 5 -o data/nofield-b5 data/nofieldSetting binning width to 5 KUsing data/nofield-b5 as the output filedata/nofield: 1048 pointsAcquired over the interval: Thu Oct 3 17:40:59 1996 -Thu Oct 3 23:41:21 1996Temperature range: 143.347 - 397.253 KV[1] = -0.087 - 0.119 mV V[2] = 1.375 - 5.190 mVV[3] = 23.988 - 119.317 mV V[4] = 9.984 - 10.044 mVV[5] = 9.378 - 48.606 mV V[6] = 10.816 - 54.521 mVV[7] = 7.389 - 37.356 mV V[8] = -4.172 - 5.426 mV

[bofh@odin Hall_Effect]$«LcebF_a�Yp%_rjE�Vlat.gnu

kucVlat-b5.gnu

set nologscaleset xlabel "Temperature (K)"set ylabel "Voltage Drop (mV)"plot "<awk ’{print $1,1000*$2,1000*$3}’ data/nofield-b5.5" using 1:2:3 title ’V5’ with er-ror, \

"<awk ’{print $1,1000*$2,1000*$3}’ data/nofield-b5.6" using 1:2:3 title ’V6’ with error

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Temperature (K)

V5V6

576987:1;�<#g�?Fi#MOPj�­C%87<�%#kml�C%I�Rnkmo�q�rsg�tvu769Iw%!6jxE<�y¬|c%ceb7tek9^�h�bFo\k9o>_aj k9^�h�`lmOo�nw`lh|n"h+�E_acej�^�o\`�o�mOmOh+o\n"h+b7t%o\j�b��acece{E`Vn"h+o�`lcej�owy��ah+~xåVyz`lh+nwqEh|^�cev�h\q%h+n9t�ku^�o\k�k9^EhHh+nwn"cenOyzo\nw`

_aj�k9^Eh�b7h+j�`lh\�apimOc%mOfO�ao\k9h+b�n"h+�%_rcejE`§o\n"h�j�cevÑmOn"cemOcenwk9_ac%jEo��zk9cik9^�h�`l�ac%mOh>ce�Bk9^�hJ�Enwo\mO^�~s]7^�_a`�_a`Byzh+dQo\fO`�hJcefOn|`lk9o\k9_a`�k9_adQo\�o\j�o\�apE`l_r`�o�`l`�fOgsh+`3k9^Eo�k�k9^�h³d�cej�k9h+j�ku`Bce�Eo�mOo�nwk9_adQfO�ao\n%yz_rj>o\n"h³jEc%nwgso\�r�apHb7_a`�k9nw_ yzfOk9h+b¥owyzc%fOk%`lc%gsh³o\q%h\nwo\�%hxq%o��afOh+~E��cevJh+q%h\n_ajik9^�h+`lh�n*h\�%_ac%jE`�t%o\`�`lfOgs_rjE�iku^�h>`��acemOh�k9c�yzh>dQcej�`lk9o\j�k9t7k9^Eh�b7_a`�kunw_ yzfOk9_acej´v�_r�a�7h+�9�Yh+dQk9_aqEh+�ap�yzh�n"h+dQk9o\j��%fO�ro\n9~HµN^Eo�k1kuc bFcK��� cefOn%yzh+`�kEc%mOku_rcej�_r`1k9c�d�ce�r�ah+dQk!y�h+k9kuh\n�bFo\k9o\tA_a��k9^E_r`#_a`1j�cek²mOce`�`l_ y��ahxku^�h+j¥p%cef¥^�o\q%h|kuc�dQ^�cece`lh�`�cegshzyz_rj�v�_rb7k9^�vJ^E_rd�^¥�%_rq%h+`o°n"h+o\`�cejEo¯yz�ah³k9nwo\bFh+}Yce�9�Yt+cen�mOh+n"^Eo�mO`1o\j�o\�rp%`lh�k9^�h�b7o\k9o°_rj�o3y�_ak9v�_r`lh��Yo\`�^E_rcej�~

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²

]7^�_a`1`�cefOjEbF`1�a_a{Eh³o°d��ro\`�`l_adBo\v�{�kuo�`l{E~[bofh@odin Hall_Effect]$ awk ’{ print $1,0.71*$2,sqrt($2*$2*1e-4+0.5041*$3*$3) }’

data/nofield-b2.5 > data/nofield-resistivity.5[bofh@odin Hall_Effect]$]7^�h³�Yce�a�rcev�_rjE��`�d�nw_rmOk%b7_r`lmO�ao�p%`3k9^E_r`#gso�jE_rmOfO�ao\k9h+b bFo\k9o\tset nologscaleset xlabel "Temperature (K)"set ylabel "Resistivity (Ohm cm)"plot "<awk ’{print $1,100*$2,100*$3}’ data/nofield-resistivity.5" using 1:2:3 title ’’ with error]7^Eh³n"h+`�fO�ak%_r`1`l^�cev�jJcej�¦O�EfOn"hxÇ

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ity (

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576987:1;�<#p�?F³�<�%!6j%'� 69Dz6��!$´M�� %!C��´�1P9<µ Õ Ö ¶�ó1í�âAØQÞ´à�Ø· á¶ð�Þw¸¯¹9·²í�Ø�ð�ÞÊ%n"cegè¦O�%fOn"hVÇ�~%vJh�o\n"h³mOn*c!yzowyz�rp�`lo��Yhx_rj�o�`l`lfOgi_aj���ku^�h°gso¯çucenw_rk9p�ce�²d�o�nwnw_ah+nw`3o\n"h³h+±Ak9nw_aj�`l_rd�yzh+�ac%v � ¡+-|ȳ~åHjEdQh³o\�Eo\_aj¥v�h³dQo\�r�e�Ycen�o\v�{Et

[bofh@odin Hall_Effect]$ awk ’($1 < 280) {print $0}’ data/nofield-resistivity.5> data/extrinsic.5[bofh@odin Hall_Effect]$ÀA_aj�d�h�v�h>vJo\j�k1kuci^Eo�q%h�oJ�ace�E}Y�ace� mO�rcek9t�yzfOk3ce�1o�`�cegsh+vJ^Eo�k1n"h+`lk9nw_adQk9h+b�nwo\j��%h�vJh>jEh\h+bLk9csb7c `�cegsh�k9nw_adQ{%`°k9csgio\{%hgnuplot

gso�{%h³o\j¥o\dQd�h\mOkuo¯yz�ah|mO�acek9~set logscale xyset xtics (150,175,200,250,300)set ytics (.6,.8,1,2,3,4)set xlabel "Temperature (K)"set ylabel "Resistivity (Ohm cm)"plot [140:300][.6:4] "<awk ’{print $1,100*$2,100*$3}’ data/extrinsic.5" using 1:2:3 title ’’ with errorµN^E_rd�^JmOn*c%b7fOd�h\`

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ity (

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Temperature (K)

576987:1;�<#²�?F�;�z<9»;¼��­;�69I�%!6�* ³�<�8769MOIµ¤hxdQo\j¥fO`lh

moosefitkuc�¦Ok�k9^Eh|b7o\k9o°k9c�o°�YfOj�d�k9_rcejJc%�Ek9^�h��Ycenwg���¾½�¿�À � ¢��

Ã�v�cefO�rb fO`lh³k9^Eh��Yce�r�acevJ_aj���`ldQnw_amOk9textrinsic.moo

function rho = alpha * T ˆ betaindependent Talpha = 3e-6beta = 1.5data "data/extrinsic.5"µN^�_adQ^�dQo\j|yzh³�aceo�b7h+b��Yn"cegæku^�h�dQcegsgso�jEb7�r_aj�h[bofh@odin Hall_Effect]$ moosefit extrinsic.moo[bofh@odin Hall_Effect]$¾�cejE¼akE�Ycen"�Eh+kek9c�`lh+kEk9^Eh�vJ_ah+_r�%^�ku_rjE��kuc

instrumental

Á

576987:1;l< º ?F²<��m�!�z<�ä<�698&��� 69I�8)�­Ms69Im%'�­;l:���<�Im�­C%P¨ d�k9fOo\�r�ap�b7c�k9^�h�¦Ok9t�k9^�h+jJpEcef¥d�o�j�`lo�q%h�k9^�h�n*h\`lfO�ak

576987:1;l< Á ?F²C%Dz< �!�z<�87;�C����µ¤hxdQo\j¥k9^Eh\j�h+b7_rkEk9^�_a`#`�d�nw_rmOk%k9c�gso�{%h³_ak�q%h+nwpH`�_ags_r�ao\n�k9c

extrinsic.gnut!o\`#�Yc%�a�ac%v�`

rho(T) = alpha * T ** beta

alpha = 1.97497e-07beta = 2.08844

set logscale xyset xtics (150,175,200,250,300)set ytics (.6,.8,1,2,3,4)set xlabel "Temperature (K)"set ylabel "Resistivity (Ohm cm)"plot [140:300][.6:4] \

100 * rho(x) title ’fit’, \"<awk ’{print $1,100*$2,100*$3}’ data/extrinsic.5" using 1:2:3 title ’data’ with errorµN^�_adQ^�v�_r�a�Qyzh�n"h+j�b7h+n"h+bJo\`

=�Ä

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fitdata

5F6u8F:1;l<>=�Ä�?¥����<9Å���� MI�!�z<>RBC�� Cµ¤h+�a�ek9^�o\kO_r`Bo1y�_akOcej¥k9^Eh§fO�%�ap�`l_abFh+t�_rjJgip�^�fOgHyz�ah|cemO_aj�_acej¥k9^Eo�k7_a`�~ ¨ `Vgsh+j�k9_acej�h+bso��Yh+v�`�h+dQku_rcej�`Oyzo�d�{Et�_rk²v�cefO�rb7jE¼ak

^EfOnwkzkuc k9o�{%hH�%cec%b´b7o�k9o\t²k9^Eh+j¤n"h+o\`�cej�owyz�rh§o�n*�EfOgsh+j�k9`�d�o�j�yzh�gso�b7h+~�ÃYj�_ak9_ao��7dQh+�ah"y�nwo\k9_acej�`�yzo�`lh+b�cej´ku^�h�`lgio\�a�&Æ � o\n"h§_r�a��YcefOjEbFh+b7t\`�_aj�d�h|ku^�h°h+nwn"cen%yzo�nw`#o\n"h�c�yzqE_acefO`��ap>k9cec��ro\n"�%h\t�o�jEbsk9^�h+n"h�_a`#o§b7h+¦Oj�_ak9h°`�p%`lk9h+gio\k9_adVb7_a�9�Yh+n"h+j�d�hzyzh\kuvJh+h+j¥k9^Eh§b7o\k9oo\j�b ku^�h�¦Ok9~ ǵ Õ Ô È�Þ>íQâAØ�Þ¤à\Ø�· á¶ð�Þ)¸�¹9·²í�Ø�ð�ÞÃY�EpEcefJvJh+n"h³ku^�_aj�{%_rjE���\�ah\ku¼a`#fO`lh

awk��p%c%fJo�n*h³dQo\k9dQ^E_rjE�JcejE~

[bofh@odin Hall_Effect]$ awk ’($1 > 350) {print $0}’ data/nofield-resistivity.5> data/intrinsic.5[bofh@odin Hall_Effect]$ÃYj�k9^�h�_aj�k9nw_aj�`l_adVd�c%jEb7fOdQk9_acejJgsceb7h\��v�h�o\n"h³�ac%ce{%_rjE�H�Ycen�o\jJh+±AmOn*h\`l`l_rcej�ce��k9^Eh��Ycenwg

���ÊÉ�Ë#Ì�ÍÎsÏÐ � ¡��¬|_rq%h+j�Ñ � � � �¥£¥ ¥¤IÒ �   ° �3Ó ©3È ° � t�o\j�bs °h+Ä´Ô � � Õ¥ F��Ò �   ° �0Ö ©#v�h�dQo\jJv�nw_ak9h�k9^�h��Yce�a�rcev�_rjE� moosefit

`ldQnw_amOk9~function rho = C * exp (5802 * Eg / T)independent TC = 1e-7Eg = 0.700000data "data/intrinsic.5"å�j�dQhxo��%o�_aj�t�k9^�h°n"h+`lfO�rku_rjE�

gnuplot`ldQnw_amOk%dQo\j|yzh�^�o\dQ{%h+b k9cHgso�{%h�o\`1�Yc%�a�ac%v�`

rho(T) = C * exp (5802 * Eg / T)

C = 7.67991e-07Eg = 0.642238

set logscale yÇ0× T&J E J E 50LØ=A�50H G 7 =m:ÚÙF5©HI:Ú2?J Û�5�2J :3L&57�2=.1?TFL&J ÜÝ46=�Þàß+=.2¥2 T&=m7 J E 2=>L&=< G6E 8©1?T&=.B�4 G U=�=

set ytics (.6,.8,1,2,3,4)set xlabel "Temperature (K)"set ylabel "Resistivity (Ohm cm)"plot [][.6:4] \

100 * rho(x) title ’fit’, \"<awk ’{print $1,100*$2,100*$3}’ data/intrinsic.5" using 1:2:3 title ’data’ with error

kucH�Eh+jEh\nwo\k9h�k9^Eh��Yce�r�acevJ_aj����%nwo�mO^

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ity (

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fitdata

576987:1;l<>=�=�?F³�<�%!6j%'�­6uDz6j�0$¤6uI}�!�z<9á*I�� ;Q6uI�%!6j*«³�<�8F6uMOIâ �§� ù��s���sù���| Òà| Ò��zÒäã �i�����å�´�åæ��s�Içè~ �é� ù�Òàê ������ú´ë�ëzÒ��V�¬|_aqEh+j k9v�c�b7o�kuo�¦O�ah+`³k9o\{Eh+jsfOj�b7h+nVku^�hH`lo�gsh§dQcej�b7_ak9_rcejE`�teh+±AdQh+mOk9_aj��¥k9^�hHcenw_ah+j�k9o\k9_ac%j ce�Fk9^�h�dQnwp%`�k9o\�²v�_rku^�_ajiku^�hHgso\�EjEh\ku_rd¦Oh+�ab7tAvJh|dQo\j�b7c>oByz_aj�v�_r`lh§`lf�yzk9nwo\dQk9_acej c%�Oku^�h|k9vJc�b7o�kuo�`lh+k9`�~�ÊEcen3k9^E_r`Vk9c�vJcenw{%tAk9^�h|k9v�cJb7o\k9o\`�h+k9`V`�^Ec%fO�abHyzh§_ab7h\jEk9_adQo\�r�apyz_aj�jEh\b�yzp

hall process~

[bofh@odin Hall_Effect]$ hall_process -b 2 data/forwardSetting binning width to 2 Kdata/forward: 918 pointsAcquired over the interval: Fri Oct 4 12:46:48 1996 -Fri Oct 4 18:05:02 1996Temperature range: 144.567 - 403.414 KV[1] = -2.605 - 0.343 mV V[2] = -0.685 - 3.426 mVV[3] = 27.443 - 122.508 mV V[4] = 9.998 - 10.045 mVV[5] = 10.534 - 49.690 mV V[6] = 12.480 - 56.154 mVV[7] = 9.872 - 39.903 mV V[8] = -4.141 - 5.725 mV

[bofh@odin Hall_Effect]$ hall_process -b 2 data/reverseSetting binning width to 2 Kdata/reverse: 1010 pointsAcquired over the interval: Sat Oct 5 08:29:40 1996 -Sat Oct 5 14:19:29 1996Temperature range: 128.373 - 394.284 KV[1] = 2.514 - 3.258 mV V[2] = 3.498 - 8.389 mV

=%ÿ

V[3] = 20.936 - 123.452 mV V[4] = 9.964 - 10.042 mVV[5] = 8.039 - 50.383 mV V[6] = 9.081 - 56.083 mVV[7] = 5.394 - 37.331 mV V[8] = -4.566 - 5.282 mV

[bofh@odin Hall_Effect]$]7^Eh\j�n"h+q%h\nw`lhB¦Oh\�ab b7o�kuo�¦O�ah�dQo\j°yzh�`lf�yzk9nwo�d�k9h+b �Yn"cegæk9^Eh��Yc%nwv�o\n"b¥¦Oh+�ab�b7o�k9o\¦O�ah\t[bofh@odin Hall_Effect]$ hall_subtract data/forward.1 data/reverse.1 | awk ’{print $1,$2/2,$3/2}’ > data/hall_voltage.1data/forward.1: 145 - 403 K in 2 K binsdata/reverse.1: 135 - 393 K in 2 K bins[bofh@odin Hall_Effect]$º�cek9_adQh³k9^Eo�k�o�v�{>_r`�yzh+_rjE�>fO`�h+b�k9c�b7_aqE_ab7hxk9^Eh�n"h+`�fO�ak!y�p>k9v�ce~set nologscaleset xlabel "Temperature (K)"set ylabel "Hall Voltage (mV)"plot "<awk ’{print $1,1000*$2,1000*$3}’ data/hall_voltage.1" using 1:2:3 title ’’ with error

-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

0.5

100 150 200 250 300 350 400

Hal

l Vol

tage

(m

V)�

Temperature (K)

576987:1;l<�=Eÿ�?Fì�CEPuP�i#MOPj�­C%87<¹7fOkFvJo\_ak9tOk9^�h+n"h�_r`°gscen"h+tEv�h�dQo\j¤fO`lhHo>`�_ags_r�ao\nxcemOh+nwo�k9_acejsk9c b7_rq%_rb7hHku^�_a`|b7o\k9o\`�h+k�_ajio�yz_aj�v�_r`lh�gso�jEj�h+n�yzp k9^�h>q%ce�rk9o\�%hb7fOh§k9c�n"h+`l_r`lk9_aqE_ak9p�te�ah\ku`³`�o\p �YcenVh+±Ao\gsmO�rh d e ~ ¨ mOc%kuh\jEk9_ao��a�rp¥`�k9_adQ{%p�`l_rkufOo�k9_acej´jEcev�o\nw_a`�h+`lt%v�^�_adQ^ d e t%�Yn"ceg'Á\h\n*c¥¦Oh+�rb7tEo�jo\q%h\nwo\�%h³ce���YcenwvJo\n"b�o\j�b n*h\q%h+nw`�hB¦Oh+�rb7`.�°ÃY¼agè�Ece_aj�k�kuc�o�nuyz_ak9nwo�nw_a�apHdQ^Ec%ce`lh�Á�h+n"c§¦Oh+�rb7~[bofh@odin Hall_Effect]$ hall_process -b 2 -o data/zerofield data/nofieldSetting binning width to 2 KUsing data/zerofield as the output filedata/nofield: 1048 pointsAcquired over the interval: Thu Oct 3 17:40:59 1996 -Thu Oct 3 23:41:21 1996Temperature range: 143.347 - 397.253 KV[1] = -0.087 - 0.119 mV V[2] = 1.375 - 5.190 mVV[3] = 23.988 - 119.317 mV V[4] = 9.984 - 10.044 mVV[5] = 9.378 - 48.606 mV V[6] = 10.816 - 54.521 mVV[7] = 7.389 - 37.356 mV V[8] = -4.172 - 5.426 mV

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[bofh@odin Hall_Effect]$ hall_quotient data/hall_voltage.1 data/zerofield.5 > data/hall_angle.1.5data/hall_voltage.1: 146 - 394 K in 2 K binsdata/zerofield.5: 139 - 397 K in 2 K bins[bofh@odin Hall_Effect]$

set nologscaleset xlabel "Temperature (K)"set ylabel "Hall Angle"plot "data/hall_angle.1.5" using 1:2:3 title ’’ with error

-0.3

-0.25

-0.2

-0.15

-0.1

-0.05

0

0.05

100 150 200 250 300 350 400

Hal

l Ang

leí

Temperature (K)

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_aj�`l_a`�k%~ ~ ~[bofh@odin Hall_Effect]$ awk ’{print $1,3.6*$2,sqrt(13.175*$3*$3+$2*$2*.0124)} ’data/hall_angle.1.5 > data/mobility.1.5[bofh@odin Hall_Effect]$¨ b7bFh+bJo|d�cefOmO�rh³ce�²h+jE^�o\j�dQh+bsmOce`�ku`�d�nw_rmOkedQcegsgso�jEb7`Bkuc�o

gnuplot`�d�nw_rmOk!çufO`�kEk9c�{Eh+h+m�k9^�_aj��%`#_rjEk9h+n"h+`�k9_aj��

set logscale xyset xtics (150,175,200,250,300,350,400)set ytics (.01,.02,.05,.1,.2,.5,1,2)set xlabel "Temperature (K)"set ylabel "Hall Mobility (m{ˆ2} Vˆ{-1} sˆ{-1})"plot [140:400][.02:1] \

"<awk ’{print $1,$2,$3}’ data/mobility.1.5" using 1:2:3 title "+ve mobility" \with error pt 9 ps 0.75, \"<awk ’{print $1,-$2,$3}’ data/mobility.1.5" using 1:2:3 title "-ve mobility" \with error pt 11 ps 0.75

0.02

0.05

0.1

0.2

0.5

1

150 175 200 250 300 350 400

Hal

l Mob

ility

(m

2 V-1

s-1

)

Temperature (K)

+ve mobility-ve mobility

576987:1;l<�=�V�?F�;�z<#ì�C%P9P���M�u769P96j�0$µ¤h+�a�rt+òku^�_aj�{>k9^�o\kO_a`1mOn"c�y�owyz�rp�h\jEcefO�E^�_rjE�Ycenwgio\k9_acejJk9c��%h+kEp%cef¥mOo\`�kEk9^�h°gs_aj�h³¦Oh+�abF`lt\o�jEb c%j�k9c�k9^Eh�n"ceo�b¥k9c�n"fO_aj�~

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