No subject
Tue May 11 17:31:48 CEST 2010
<br />
4.6966380876 * 8.314 =3D 39.048<br />
(where, Gas constant, R =3D 8.314 J/(mol K) ) and for Silicon N =3D 2, so 3=
N=3D6 modes<br />
<br />
So, Specific heat, C_v=3D 38.761 / 3N =3D 6.5080 J/(mol K)<br />
<br />
Experimentally the Specific heat, C_v of Si at 25 =C2=B0C (~298) is found e=
qual to 9.789 J=C2=B7mol=E2=88=921=C2=B7K=E2=88=921.<br />
<br />
Can anybody could explain the reason behind this huge error in the calculat=
ion of specific heat ?<br />
Regards<br />
Amit N.Harode<br />
CR Labs INDIA<br />
<br />
<br />
> Try to compare your calculated phonons and phonon DOS for Si first - > do=
they<br />
> come out as obtained e.g. by Giannozzi/De Gironcoli/Pavone/Baroni > PRB 1=
991 ?<br />
<br />
> nicola<br />
On Mon, 24 May 2010 18:38:31 +0530 wrote<br />
>Dear All<br />
><br />
<br />
><br />
I have attempted to calculate the specific heat of Si using "F_QHA.x", and =
the calculated Silicon phonon dos as an input.<br />
><br />
(The calculated Si phonon frequencies are in excellent agreement with avail=
able experimental data. )<br />
><br />
<br />
><br />
As the output of "F_QHA.x", I have obtained the following results, (in QHA.=
out file)<br />
><br />
<br />
><br />
###########################################################################=
#################################<br />
><br />
<br />
><br />
# T in K, F_vib in Ry/cell, C_v in R (the universal gas constant by 3N mode=
s), S in k_B<br />
><br />
###########################################################################=
#################################<br />
><br />
# T E_internal F_vibration Specific heat (C_v) =
Entropy<br />
><br />
###########################################################################=
#################################<br />
><br />
:<br />
><br />
:<br />
><br />
295.00 0.0139740852 0.0055747646 4.6621714979 =
4.4956255367<br />
><br />
300.00 0.0141222695 0.0054311560 4.6966380876 =
4.5742737931<br />
><br />
305.00 0.0142715257 0.0052850687 4.7298757363 =
4.6521815403<br />
><br />
310.00 0.0144218157 0.0051365259 4.7619351485 =
4.7293532915<br />
><br />
:<br />
><br />
:<br />
><br />
:<br />
><br />
###########################################################################=
#################################<br />
><br />
<br />
><br />
More information about the Pw_forum
mailing list