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Band gaps from conductivity measurements

Hi,

I have a question on calculating a band gap from conductivity measurements.

G=G0exp(Eg/2k) G = G_0exp(-E_g/2k)

So

lnG=lnG0Eg2k lnG = lnG_0 - \frac{-E_g}{2k}

So plotting lnG against 1/T gives a gradient of -Eg/2k

I've plotted the data in the question as above and have a gradient of 6.0x10^-5 which gave a band gap of 1.66x10^-27 J which doesn't seem right!

Assuming my units of J are correct, converting to eV gives 1.04 x 10^-4 eV which still doesnt seem right!

The data is:

G (ohms^-1 cm^-1) T (K)

0.47 ----------------- 2573
1 ------------------- 2953
1.64 ----------------- 3223

Thanks for any help! And sorry if this is meant to be in the Physics section!
Original post by Chemhistorian
Hi,

I have a question on calculating a band gap from conductivity measurements.

G=G0exp(Eg/2k) G = G_0exp(-E_g/2k)

So

lnG=lnG0Eg2k lnG = lnG_0 - \frac{-E_g}{2k}

So plotting lnG against 1/T gives a gradient of -Eg/2k

I've plotted the data in the question as above and have a gradient of 6.0x10^-5 which gave a band gap of 1.66x10^-27 J which doesn't seem right!

Assuming my units of J are correct, converting to eV gives 1.04 x 10^-4 eV which still doesnt seem right!

The data is:

G (ohms^-1 cm^-1) T (K)

0.47 ----------------- 2573
1 ------------------- 2953
1.64 ----------------- 3223

Thanks for any help! And sorry if this is meant to be in the Physics section!


:redface:

Yeah you might want to try the physics section. My course seems to have been pretty heavy on the solid state chem yet we never covered band gaps like this. It was more a case of rationalising trends in the band gaps and understanding why they're there.

You a materials scientist then?

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