thanks for ur reply. But could you please tell me the
command to integrate the rdf to first maximum. I
searched for it and did not find any thing and why I
double the value?.

There is no command for integration. Mark's suggestion http://www.gromacs.org/pipermail/gmx-users/2006-November/024896.html is the way to do it with g_rdf. I have never used g_hbond for this purpose, but Erik's suggestion http://www.gromacs.org/pipermail/gmx-users/2006-November/024904.html
sounds good for that.

If you do choose to use g_rdf, then use a spreadsheet to do the integration. Be aware though that what you want is not a simple cumulative value of g(r), but of N(dr) as I will outline below.

g(r) = N(dr)/V(dr) / N/V

Therefore to get the integral of N(dr) to a specified value, you will need to integrate g(r) * N/V * V(dr). You can easily get N from the number of waters in your system. V(dr) can be calculated in spreadsheet format by using a formula. In MS excel for example, you need many columns:

The first column is your r value and the second is your g(r), both columns 1 and 2 from the g_rdf output .xvg file. Columns 3 and 4 should be defined as suggested below

r        g(r)             sphereVolume                     shellVolume
0.001    g(r)|dr=0.002    =4/3*3.1416*power(A1+0.001,3)    =C1
0.003    g(r)|dr=0.004    =4/3*3.1416*power(A2+0.001,3)    =C2-C1
0.005    g(r)|dr=0.006    =4/3*3.1416*power(A3+0.001,3)    =C3-C2

So your V(dr) value can come from the shellVolume column.
Copying and pasting the formulas in columns 3 and 4 will reproduce them as desired (although you need to create rows 1 and 2 and then copy row 2 on down). Also, if you don't use dr=0.002, then you will need to make a few changes in the formulas. Also note that r in .xvg is the central point along the r bin so that integrating to the trird row above would be out to 0.006nm not 0.005nm.

If you use the -cn option then the g(r) value that you should use is the one from the column at your desired r value. If not, then you need to sum over g(r) yourself.

The V (total volume) value is a little trickier. This entire procedure assumes that you can use a single value for V even though it changes every timestep. If your system is well behaved, then the difference should be tiny. I have previously posted a code snippet for g_vol to get the time averaged system volume http://www.gromacs.org/pipermail/gmx-users/2006-November/024694.html

If you end up using this menthod and also g_hbond, please post your general findings about their equivalence back to this list.


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