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Analysis of nucleic acid double helix geometry

PDB code 4PDQ   (PDB summary)
Duplex length 23 base pairs

Only the nucleic acid double helix part of the structure is analysed here. Small ligands, proteins, and overhanging ends are not taken into account. Information on the complete structure is available at the Image Library Entry page and at the Sequence, Chains, Units page.

Strand 1    5' U1 U2 G3 C4 G5 U6 C7 A8 C9 G10 C11 C12 G13 G14 C15 G16 A17 A18 G19 U20 C21 G22 C23 3'
Strand 2    3' C46 G45 C44 U43 G42 A41 A40 G39 C38 G37 G36 C35 C34 G33 C32 A31 C30 U29 G28 C27 G26 U25 U24 5'

Side view 1 Top view
Side view 1 Top view
Side view 2 3-dimensional interactive models
(Help)
  

RASMOL, CHIME, VRML 2.0, PDB

Side view 2  

Figure 1   Three orthogonal views of the double helix (Help). Residues are colored according to the nucleotide type (Help: Color codes). The curvilinear helical axis (green) was calculated with CURVES. The double helix is oriented with respect to the principle axis of inertia of the curvilinear helical axis (see Help for further explanations). This drawing reveals immediately if there is any bending of the helical axis.


Analysis of helical axis bending


Inter base pair parameters

The six inter base pair parameters (rise, shift, slide, twist, roll, tilt) describe the translational and rotational displacement between neighbouring base pairs. See Help for further explanations.

Plot of inter base pair parameters with respect to global and local helical axes:  PDF,   GIF
(Global parameters from CURVES,  local parameters from CURVES and FREEHELIX)

Table 1.  Inter base pair parameters with respect to the global helical axis, calculated with CURVES.


  Strand 1      Strand 2        riseg          shiftg          slideg          twistg         rollg         tiltg    
    / Å / Å / Å      

U1 C46            
    7.1 -0.3 -1.4 14° -1° -32°
U2 G45            
    5.6 0.4 -0.6 19° -28°
G3 C44            
    5.3 1.0 -0.2 22° -0° -23°
C4 U43            
    6.0 1.2 -1.3 22° -8° -23°
G5 G42            
    1.6 2.7 -8.2 83° 97°
U6 A41            
    4.5 0.3 -1.2 24° -150° -195°
C7 A40            
    6.8 -0.6 7.0 17° 104° 18°
A8 G39            
    5.2 1.5 -0.7 28° 13° -20°
C9 C38            
    5.1 -1.0 -0.8 18° 21° -23°
G10 G37            
    4.2 0.3 -0.3 24° 12° -17°
C11 G36            
    4.5 0.3 -0.4 25° 15° -19°
C12 C35            
    3.8 0.4 -0.4 28° 12° -12°
G13 C34            
    3.8 0.4 -0.4 26° 17° -16°
G14 G33            
    4.2 1.0 -0.8 26° 20° -6°
C15 C32            
    3.9 -0.5 0.0 58° 23° -4°
G16 A31            
    5.3 1.9 -3.4 18° 11°
A17 C30            
    1.8 -3.4 -1.2 22° -11°
A18 U29            
    3.5 1.9 0.5 39° 12° -7°
G19 G28            
    3.5 -0.2 -0.8 25° 16°
U20 C27            
    3.0 0.0 -0.0 36° -0°
C21 G26            
    3.4 -0.8 -0.7 32° 14° -1°
G22 U25            
    3.4 -0.1 -0.2 36°
C23 U24            


Backbone parameters

Table 2.  Selected torsional angles and sugar pucker phase angles describing the conformation of the sugar phosphate backbone. (See Help for further explanations.)


 gamma     epsilon-zeta       pucker        chi      Strand 1     Strand 2      chi        pucker       epsilon-zeta     gamma 

    C3'-endo -163° U1 C46 -162° C3'-endo    
 54°   -89° (BI)             -93° (BI)   60° 
    C3'-endo -162° U2 G45 -165° C3'-endo    
 60°   -81° (BI)             -106° (BI)   54° 
    C3'-endo -170° G3 C44 -166° C3'-endo    
 52°   -58° (BI)             -82° (BI)   36° 
    C3'-endo -168° C4 U43 -163° C3'-endo    
 49°   -94° (BI)             -59° (BI)   107° 
    C3'-endo -160° G5 G42 169° C3'-endo    
 54°   -77° (BI)             -5° (BI)   66° 
    C3'-endo -155° U6 A41 -156° C4'-exo    
 61°   -125° (BI)             -123° (BI)   -173° 
    C3'-endo -171° C7 A40 -167° C3'-endo    
 52°   -106° (BI)             41° (BII)   54° 
    C3'-endo -171° A8 G39 -164° C3'-endo    
 48°   -61° (BI)             -81° (BI)   60° 
    C3'-endo -153° C9 C38 -166° C3'-endo    
 46°   -75° (BI)             -79° (BI)   48° 
    C3'-endo -160° G10 G37 -161° C3'-endo    
 53°   -89° (BI)             -75° (BI)   57° 
    C3'-endo -160° C11 G36 -170° C3'-endo    
 59°   -100° (BI)             -54° (BI)   57° 
    C3'-endo -168° C12 C35 -166° C3'-endo    
 61°   -64° (BI)             -98° (BI)   49° 
    C3'-endo -167° G13 C34 -157° C3'-endo    
 46°   -70° (BI)             -74° (BI)   55° 
    C3'-endo -159° G14 G33 -163° C3'-endo    
 53°   -81° (BI)             -113° (BI)   61° 
    C3'-endo -162° C15 C32 -161° C3'-endo    
 176°   -105° (BI)             137° (BII)   44° 
    C3'-endo -176° G16 A31 -152° C3'-endo    
 68°   -88° (BI)             -75° (BI)   58° 
    C3'-endo -168° A17 C30 -151° C3'-endo    
 58°   -65° (BI)             -94° (BI)   42° 
    C3'-endo -168° A18 U29 -163° C3'-endo    
 55°   -89° (BI)             -77° (BI)   54° 
    C2'-exo -157° G19 G28 -167° C3'-endo    
 72°   -82° (BI)             -79° (BI)   48° 
    C4'-exo -168° U20 C27 -156° C3'-endo    
 61°   -76° (BI)             -74° (BI)   59° 
    C3'-endo -165° C21 G26 -168° C3'-endo    
 56°   -81° (BI)             -74° (BI)   55° 
    C3'-endo -170° G22 U25 -166° C3'-endo    
 55°   -60° (BI)             -83° (BI)   62° 
    C3'-endo -161° C23 U24 -171° C3'-endo    


Groove width

Plot of minor groove width:   PDF,   GIF
Plot of major groove width:   PDF,   GIF
(See Help for further explanations.)

Further information

Full output from CURVES  (helical parameters with respect to global and local axes)

Full output from FREEHELIX  (helical parameters with respect to local axis, angles between normal vectors)

Chirality of ribose and phosphate atoms
Check the naming of phosphate and ribose substituents. Recommended for phosphate oxygens and for ribose hydrogens in NMR structures.


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Perl script:    helixparameter.pl  (15 Sep 2016)
Author:    Peter Slickers  (slickers@leibniz-fli.de),  IMB Jena,  Germany