#Driver atom 1 # The basin of attraction of Oxygen atom will be examined crit 2 # determine the critical points surf 1 # build the Bader surface gpsurf 1 # output for GNUplot irho 1 # drives the integration of the Bader charge #Parameter # nsa 2 # one might gain a bit of cpu time # nsb 2 # by using these values, smaller than the default # nsc 2 inpt 50 # This value is suitable ntheta 8 # This value is much too small nphi 4 # This value is much too small thetamax 3.14159265358 # These two variables define a quadrant phimax 1.57079632679 # maxatd 10.9 # The starting atoms within this distance are sufficient maxcpd 8.0 lgrad2 1.0d-4 # Such loose criteria are needed to catch all the CPs. lstep2 1.0d-4 # dpclim 5.0d-2 # Because the ecut is quite low, the finite elements # are quite large. So, it might be that ONE critical point # is seen on TWO finite elements, while being at a larger # distance that the default value of dpclim #%% #%% [setup] #%% executable = aim #%% test_chain = t32.in, t33.in, t34.in #%% [files] #%% files_to_test = #%% t33.out, tolnlines = 19, tolabs = 2.000e-03, tolrel = 2.000e-04, fld_options = -medium #%% psp_files = DensityCore_pw/08-O.8.fc, DensityCore_pw/12-Mg.8.fc #%% [paral_info] #%% max_nprocs = 1 #%% [extra_info] #%% authors = Unknown #%% keywords = #%% description = #%% MgO molecule, Bader analysis. #%% Examine the Oxygen atom only. #%% Determine 2 bonding critical points (only !), #%% 8 ring critical points, and 8 cage critical points. #%% (In agreement with Euler's relation : #BCP-#RCP+#CCP=2) #%% The ecut that was used in test case 32 is quite #%% low, so that the accuracy of the critical points is not #%% too good. Especially, symmetries are broken at the level #%% of 0.0003. #%% Get 2 core electrons, 6.8043 valence electrons. #%% The nucleus charge is +8. The Oxygen atom-in-molecule #%% has a net charge of -0.8043. #%% Additional explanation about the weak number of BCP #%% for oxygen. One might expect the O atom to be connected #%% through the other O atoms in neighbouring cells (x and y #%% directions - hence 4 BCPs in these directions), but #%% one sees that the only existing BCPs #%% are towards the Mg atoms. This is surprising, but correct ! Indeed, #%% the density at the middle of the segment between two O atoms #%% along x (or y) is LOWER than the density at the #%% middle of the segment between two Mg atoms along x (or y). #%% Indeed, although the O atoms attract electrons from the Mg #%% atoms, they become negatively charged, and the potential, #%% in DISTANT regions of the molecule, is lower (so more #%% attractive) on the side #%% of the Mg atoms than on the side of the O atoms ! #%% This means that the tail of the density extends further #%% in the x-y plane containing the Mg atoms, than in the #%% x-y plane containing the O atoms. So, the middle of the #%% segment connecting the O atoms actually belongs to the #%% Mg basin of attraction, and is close to a Cage Critical Point #%% shared by Oxygen and Magnesium atoms. By contrast, the #%% middle of the segment connecting the Mg atoms is, as expected, #%% close to a Bond Critical Point. #%% topics = Bader #%%