[Wien] question on murnaghan fit

yueqin@mail.ustc.edu.cn yueqin at mail.ustc.edu.cn
Fri May 25 14:37:15 CEST 2007


Dear Gills,

Thanks very much, the program I post in the previous mail have the parameter to
fit hexagonal systems, I really confused where the problems come from. Well,
thanks again, I really appreciate your help, it helps a lot.

Best Regards
Y.Q. Wang

Gilles Hug wrote:
> Hi,
> To my best knowledge the Murnghan or Birch-Murnaghan EOS is derived  
> for cubic system but is not grounded for a general crystallography.  
> Other more competent geeks may correct me.
> I tried your dat with my own developped procedure (under Igor see  
> www.wavemetrics.com).
> Here is what I found:
> •FuncFit/NTHR=1/TBOX=0 BirchMurnaghan W_coef  energy /X=vol /D
>    9 iterations with no decrease in chi square
>    fit_energy= BirchMurnaghan(W_coef,x)
>    W_coef={358.45,379.62,5.3995,-67028}
>    V_chisq= 1.76215e-06;V_npnts= 19;V_numNaNs= 0;V_numINFs= 0;
>    V_startRow= 0;V_endRow= 18;
>    W_sigma={0.064,0.477,0.00837,0.0449}
>    Coefficient values ¡À one standard deviation
>    	V0	=358.45 ¡À 0.064
>    	B 	=379.62 ¡À 0.477
>    	Bp	=5.3995 ¡À 0.00837
>    	E0	=-67028 ¡À 0.0449
>
> Two comments:
> 1/ B seems quite "strong"
> 2/ Convergence is very verry slow in your case. I don't know why but  
> I had to restart the fit a number of times. About 10 X 40 iterations.  
> But at the end the chi-square is reasonable (10^-6).
> Although this slow convergence might be due to the initial starting  
> point, it should not affect the results but it might screw up wien2k.  
> You have to look into details. Fitting wizards here might hepl.
> Regards
> Gilles
>
>
>
> Le 25 mai 07 ¨¤ 13:55, "" <yueqin at mail.ustc.edu.cn> a ¨¦crit :
>
>> Dear Wien users;
>> I try to fit the bulk modulus using the program download here:
>> http://www.fhi-berlin.mpg.de/th/fhi98md/toolkit/
>> since my system is of hexagonal symmetry,  however, the output have  
>> some "nan"
>> rather than proper quantities. Does anyone have experience on this  
>> problem, thanks
>> in advance.
>>
>> Best regards,
>> Y.Q. Wang
>
>> # unit of length =       0.529177  angstroem
>> # energies input in RYDBERGS
>> # unit cell volume = a**3 *       2.233100
>> # a(min)=           5.3106070
>> # a(max)=           5.6399150
>> # points: 100
>> # number of data points: n =   19
>> #----------
>> #    i     alatt         volume              E
>> #     1       5.310607     334.457287  -67030.8106070000
>> #     2       5.329989     338.132651  -67030.8176030000
>> #     3       5.349231     341.808005  -67030.8232670000
>> #     4       5.368336     345.483445  -67030.8277190000
>> #     5       5.387305     349.158696  -67030.8310140000
>> #     6       5.406142     352.834073  -67030.8331820000
>> #     7       5.424849     356.509522  -67030.8343210000
>> #     8       5.443427     360.184800  -67030.8344730000
>> #     9       5.461879     363.860068  -67030.8336700000
>> #    10       5.480208     367.535504  -67030.8319440000
>> #    11       5.498415     371.210899  -67030.8294160000
>> #    12       5.516502     374.886250  -67030.8260490000
>> #    13       5.534471     378.561566  -67030.8219570000
>> #    14       5.552324     382.236869  -67030.8171040000
>> #    15       5.570063     385.912187  -67030.8115870000
>> #    16       5.587690     389.587562  -67030.8053670000
>> #    17       5.605207     393.263046  -67030.7985650000
>> #    18       5.622614     396.938277  -67030.7911850000
>> #    19       5.639915     400.613747  -67030.7832080000
>> #----------
>> #     alatt0   vol0 (ula**3)  b0 (mbar)     b0prime        e0
>> #    5.4434    360.18480      1.00000      4.00000      0.00000
>> # min:   2.7217     45.02310      0.01000      0.01000
>> # max:   8.1651   1215.62370     10.00000     10.00000
>> #----------
>> # fit by murnaghan equation equation of state
>> #----------
>> #iter, alatt0, vol0 (ula**3),  b0 (mbar),  b0prime,  e0,  sq sum, ierr
>> #  20      nan         nan         nan         nan            
>> nan         nan10
>> #  40      nan         nan         nan         nan            
>> nan         nan 0
>> #----------
>> # a (a.u.),   E
>> #----------
>>    5.31061               nan       nan
>>    5.31393               nan       nan
>>    5.31726               nan       nan
>>    5.32059               nan       nan
>>    5.32391               nan       nan
>>    5.32724               nan       nan
>>    5.33057               nan       nan
>>    5.33389               nan       nan
>>    5.33722               nan       nan
>>    5.34054               nan       nan
>>    5.34387               nan       nan
>>    5.34720               nan       nan
>>    5.35052               nan       nan
>>    5.35385               nan       nan
>>    5.35718               nan       nan
>>    5.36050               nan       nan
>>    5.36383               nan       nan
>>    5.36715               nan       nan
>>    5.37048               nan       nan
>>    5.37381               nan       nan
>>    5.37713               nan       nan
>>    5.38046               nan       nan
>>    5.38379               nan       nan
>>    5.38711               nan       nan
>>    5.39044               nan       nan
>>    5.39377               nan       nan
>>    5.39709               nan       nan
>>    5.40042               nan       nan
>>    5.40374               nan       nan
>>    5.40707               nan       nan
>>    5.41040               nan       nan
>>    5.41372               nan       nan
>>    5.41705               nan       nan
>>    5.42038               nan       nan
>>    5.42370               nan       nan
>>    5.42703               nan       nan
>>    5.43036               nan       nan
>>    5.43368               nan       nan
>>    5.43701               nan       nan
>>    5.44033               nan       nan
>>    5.44366               nan       nan
>>    5.44699               nan       nan
>>    5.45031               nan       nan
>>    5.45364               nan       nan
>>    5.45697               nan       nan
>>    5.46029               nan       nan
>>    5.46362               nan       nan
>>    5.46695               nan       nan
>>    5.47027               nan       nan
>>    5.47360               nan       nan
>>    5.47692               nan       nan
>>    5.48025               nan       nan
>>    5.48358               nan       nan
>>    5.48690               nan       nan
>>    5.49023               nan       nan
>>    5.49356               nan       nan
>>    5.49688               nan       nan
>>    5.50021               nan       nan
>>    5.50353               nan       nan
>>    5.50686               nan       nan
>>    5.51019               nan       nan
>>    5.51351               nan       nan
>>    5.51684               nan       nan
>>    5.52017               nan       nan
>>    5.52349               nan       nan
>>    5.52682               nan       nan
>>    5.53015               nan       nan
>>    5.53347               nan       nan
>>    5.53680               nan       nan
>>    5.54012               nan       nan
>>    5.54345               nan       nan
>>    5.54678               nan       nan
>>    5.55010               nan       nan
>>    5.55343               nan       nan
>>    5.55676               nan       nan
>>    5.56008               nan       nan
>>    5.56341               nan       nan
>>    5.56674               nan       nan
>>    5.57006               nan       nan
>>    5.57339               nan       nan
>>    5.57671               nan       nan
>>    5.58004               nan       nan
>>    5.58337               nan       nan
>>    5.58669               nan       nan
>>    5.59002               nan       nan
>>    5.59335               nan       nan
>>    5.59667               nan       nan
>>    5.60000               nan       nan
>>    5.60333               nan       nan
>>    5.60665               nan       nan
>>    5.60998               nan       nan
>>    5.61330               nan       nan
>>    5.61663               nan       nan
>>    5.61996               nan       nan
>>    5.62328               nan       nan
>>    5.62661               nan       nan
>>    5.62994               nan       nan
>>    5.63326               nan       nan
>>    5.63659               nan       nan
>>    5.63992               nan       nan
>>
>>
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>
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