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The three-dimensional structure of humic substances and soil ...

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First, a preliminary 2 D <strong>structure</strong> <strong>of</strong> the C-C skeleton<br />

is drawn by h<strong>and</strong> into the workspace using the drawing<br />

tool <strong>and</strong> is far from perfect as shown in Fig. 3. In addi-<br />

tion to carbon, the elements oxygen <strong>and</strong> nitrogen are in-<br />

cluded (Default Element). In this manner 308 carbon-,<br />

90 oxygen- <strong>and</strong> 5 nitrogen-atoms (403 atoms in total) are<br />

positioned.<br />

Second, hydrogen is attached with accurate bond<br />

lengths <strong>and</strong> angles to the preliminary <strong>structure</strong> using the<br />

s<strong>of</strong>tware (Add Hydrogen) as shown in Fig. 4. Whereas in<br />

the original publication the 2 D HA subunit <strong>structure</strong> [2]<br />

was incomplete <strong>and</strong> was supposed to have a wide variety<br />

<strong>of</strong> different bonding sequences (see :k-- symbols), the mol-<br />

ecule in Fig. 4 represents a defined, intact HA monomer<br />

(738 atoms). Thus, in order to obtain a complete chemi-<br />

cal compound, it had to be supplemented by 7 hydrogen<br />

atoms. <strong>The</strong> corresponding elemental composition then is<br />

C308H335090N 5 with a molecular mass <strong>of</strong> 5547.004g<br />

mol -~ <strong>and</strong> an elemental analysis <strong>of</strong> 66.69% C, 6.09% H,<br />

25.96% O, <strong>and</strong> 1.26% N.<br />

Third, building the 3 D <strong>structure</strong> <strong>of</strong> the selected HA<br />

molecule (Model BuiM) with accurate bond distances<br />

<strong>and</strong> bond angles, torsion angles, van der Waals forces,<br />

<strong>and</strong> hydrogen bonds, is illustrated in Fig. 5. This prelimi-<br />

nary, energetically still unoptimized <strong>structure</strong> shows<br />

clearly the atomic distances <strong>and</strong> angles (Sticks) <strong>and</strong> gives<br />

a first <strong>three</strong>-<strong>dimensional</strong> <strong>structure</strong> information. Even this<br />

rough display indicates already the importance <strong>of</strong><br />

aliphatic chains as link between the aromatic moieties<br />

<strong>and</strong> prerequisite for the formation <strong>of</strong> gaps <strong>and</strong> voids in<br />

the HA <strong>structure</strong>.<br />

Fourth, the (Sticks) <strong>structure</strong> in Fig. 5 is converted in-<br />

to the 3 D <strong>structure</strong> (Disks, Perspective) shown in Fig. 6<br />

which better reflects the space requirements <strong>of</strong> the 738 at-<br />

oms. <strong>The</strong> white disks are hydrogen atoms, black disks ni-<br />

trogen, the brighter shaded disks are carbons <strong>and</strong> the<br />

darker ones oxygen. It is evident that even more complex<br />

<strong>structure</strong>s such as naturally occurring organomineral<br />

complexes or trapping <strong>of</strong> biological <strong>and</strong> anthropogenic<br />

<strong>substances</strong> in SOM will be difficult to evaluate in these<br />

Fig. 3. H<strong>and</strong>drawn two-<strong>dimensional</strong> version (2D) <strong>of</strong> the <strong>humic</strong> acid<br />

draft <strong>structure</strong> using the drawing tool in the HyperChem ® workspace<br />

-2<br />

Fig. 4. Hydrogen attachment to the h<strong>and</strong>drawn <strong>humic</strong> acid draft struc-<br />

ture performed by HyperChem ® (Add Hydrogen)<br />

black <strong>and</strong> white plots. As will be illustrated in the follow-<br />

ing fifth step, colourplots can be <strong>of</strong> great help <strong>and</strong> allow<br />

a distinct view <strong>and</strong> facilitated evaluation <strong>of</strong> the complex,<br />

large macromolecules.<br />

Chemical calculations<br />

After building the molecule from scratch (Fig. 3), the<br />

atomic coordinates in the s<strong>of</strong>tware files allow a wide<br />

range <strong>of</strong> quantitative evaluations. Measuring structural<br />

properties includes the determination <strong>of</strong> bond distances,<br />

bond angles, torsion angles, non-bonded distances, <strong>and</strong><br />

hydrogen bonds. For minimizing the total energy <strong>of</strong> the<br />

molecular system <strong>and</strong> thus increasing the stability <strong>of</strong> its<br />

conformation, step-by-step instructions for performing<br />

single point calculations, geometry optimization, <strong>and</strong><br />

molecular dynamics are given by HyperChem ®.<br />

When one cycle <strong>of</strong> a single-point calculation <strong>of</strong> the<br />

HA 3 D <strong>structure</strong> in Fig. 6 was performed using the algo-<br />

rithm <strong>of</strong> Polak-Ribiere (conjugate gradient), the total en-<br />

Fig. 5. Three-<strong>dimensional</strong> <strong>structure</strong> (3D) <strong>of</strong> the draft HA <strong>structure</strong><br />

shown in Fig. 4 using HyperChem ® for molecular modelling (Build<br />

Model). Display <strong>of</strong> the <strong>structure</strong> in the sticks mode (Rendering; Sticks)<br />

67

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