****************************************************************************
    3DNA v2.3-2017feb08, created and maintained by Xiang-Jun Lu (PhD)
****************************************************************************
1. The list of the parameters given below correspond to the 5' to 3' direction
   of strand I and 3' to 5' direction of strand II.

2. All angular parameters, except for the phase angle of sugar pseudo-
   rotation, are measured in degrees in the range of [-180, +180], and all
   displacements are measured in Angstrom units.
****************************************************************************
File name: 1I0T.pdb
Date and time: Mon Apr 30 19:35:10 2018

Number of base-pairs: 6
Number of atoms: 240
****************************************************************************
HEADER    DNA                                     29-JAN-01   1I0T              
TITLE     0.6 A STRUCTURE OF Z-DNA CGCGCG                                       
****************************************************************************
RMSD of the bases (----- for WC bp, + for isolated bp, x for helix change)

            Strand I                    Strand II          Helix
   1   (0.021) ....>A:...1_:[.DC]C-----G[.DG]:..12_:B<.... (0.023)     |
   2   (0.021) ....>A:...2_:[.DG]G-----C[.DC]:..11_:B<.... (0.016)     |
   3   (0.017) ....>A:...3_:[.DC]C-----G[.DG]:..10_:B<.... (0.016)     |
   4   (0.018) ....>A:...4_:[.DG]G-----C[.DC]:...9_:B<.... (0.012)     |
   5   (0.031) ....>A:...5_:[.DC]C-----G[.DG]:...8_:B<.... (0.028)     |
   6   (0.026) ....>A:...6_:[.DG]G-----C[.DC]:...7_:B<.... (0.007)     |
****************************************************************************
Detailed H-bond information: atom-name pair and length [ O N]
   1 C-----G  [3]  O2 - N2  2.87  N3 - N1  2.93  N4 - O6  2.87
   2 G-----C  [3]  O6 - N4  2.84  N1 - N3  2.90  N2 - O2  2.87
   3 C-----G  [3]  O2 - N2  2.94  N3 - N1  2.91  N4 - O6  2.88
   4 G-----C  [3]  O6 - N4  2.84  N1 - N3  2.89  N2 - O2  2.85
   5 C-----G  [3]  O2 - N2  2.81  N3 - N1  2.88  N4 - O6  2.87
   6 G-----C  [3]  O6 - N4  2.89  N1 - N3  2.90  N2 - O2  2.85
****************************************************************************
Overlap area in Angstrom^2 between polygons defined by atoms on successive
bases. Polygons projected in the mean plane of the designed base-pair step.

Values in parentheses measure the overlap of base ring atoms only. Those
outside parentheses include exocyclic atoms on the ring. Intra- and
inter-strand overlap is designated according to the following diagram:

                    i2  3'      5' j2
                       /|\      |
                        |       |
               Strand I |       | II
                        |       |
                        |       |
                        |      \|/
                    i1  5'      3' j1

     step      i1-i2        i1-j2        j1-i2        j1-j2        sum
   1 CG/CG  0.00( 0.00)  3.16( 0.80)  0.00( 0.00)  0.00( 0.00)  3.16( 0.80)
   2 GC/GC  2.31( 0.09)  0.00( 0.00)  0.00( 0.00)  4.83( 2.00)  7.14( 2.09)
   3 CG/CG  0.00( 0.00)  3.55( 0.97)  0.00( 0.00)  0.00( 0.00)  3.55( 0.97)
   4 GC/GC  6.15( 2.94)  0.00( 0.00)  0.00( 0.00)  3.10( 0.28)  9.25( 3.21)
   5 CG/CG  0.00( 0.00)  3.48( 0.95)  0.00( 0.00)  0.00( 0.00)  3.48( 0.95)
****************************************************************************
Origin (Ox, Oy, Oz) and mean normal vector (Nx, Ny, Nz) of each base-pair in
   the coordinate system of the given structure

      bp        Ox        Oy        Oz        Nx        Ny        Nz
    1 C-G     10.002    11.866    32.834     0.009     0.072    -0.997
    2 G-C     15.366    11.343    29.166    -0.037     0.052    -0.998
    3 C-G     14.765    11.822    25.994    -0.016    -0.065    -0.998
    4 G-C     18.463    15.788    22.128    -0.014    -0.032    -0.999
    5 C-G     18.982    14.518    18.892    -0.002    -0.045    -0.999
    6 G-C     16.952    19.397    14.860     0.014    -0.082    -0.997
****************************************************************************
Local base-pair parameters
     bp        Shear    Stretch   Stagger    Buckle  Propeller  Opening
    1 C-G      -0.20     -0.13      0.06      1.81     -3.20      2.76
    2 G-C       0.26     -0.17      0.13     -2.76      3.83      1.81
    3 C-G      -0.29     -0.15      0.03      2.81      6.27      2.78
    4 G-C       0.29     -0.18      0.04     -4.97      3.46      2.40
    5 C-G      -0.18     -0.18     -0.05      5.49     -7.91      1.10
    6 G-C       0.22     -0.16      0.06     -3.91      2.66      1.75
          ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
      ave.      0.02     -0.16      0.05     -0.25      0.85      2.10
      s.d.      0.27      0.02      0.06      4.21      5.32      0.66
****************************************************************************
Local base-pair step parameters
    step       Shift     Slide      Rise      Tilt      Roll     Twist
   1 CG/CG      0.27      5.46      3.55      2.35     -1.57     -9.21
   2 GC/GC      0.65     -0.30      3.18      1.33     -6.72    -54.64
   3 CG/CG     -0.43      5.58      3.61     -1.58      1.08     -7.15
   4 GC/GC     -0.70     -1.05      3.28      0.61     -0.76    -51.54
   5 CG/CG      0.10      5.52      3.70      2.34     -0.13     -6.77
          ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
       ave.     -0.02      3.04      3.47      1.01     -1.62    -25.86
       s.d.      0.55      3.40      0.22      1.62      3.01     24.90
****************************************************************************
Local base-pair helical parameters
    step       X-disp    Y-disp   h-Rise     Incl.       Tip   h-Twist
   1 CG/CG    -28.65      7.36      4.22      9.52     14.22     -9.63
   2 GC/GC      0.71      0.78      3.11      7.29      1.44    -55.04
   3 CG/CG    -46.78     -8.57      2.59     -8.47    -12.37     -7.40
   4 GC/GC      1.26     -0.77      3.27      0.87      0.70    -51.55
   5 CG/CG    -43.65     10.54      3.57      1.05     19.09     -7.16
          ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
       ave.    -23.42      1.87      3.35      2.05      4.62    -26.16
       s.d.     23.31      7.46      0.60      7.00     12.41     24.82
****************************************************************************
The 'simple' base-pair and step parameters were introduced into 3DNA as of
v2.3-2016jan01. This list of 'simple' parameters is reported by default,
but can be turned off by specifying 'analyze -simple=false'.

The simple parameters are 'intuitive' for non-Watson-Crick base pairs and
associated base-pair steps, where the above corresponding 3DNA parameters
may appear cryptic. Note that the following sets of simple parameters are
for structural description only, not to be fed into the 'rebuild' program.
Overall, they complement the rigorous characterization of base-pair
geometry, as exemplified by the original 3DNA analyze/rebuild programs.

In short, the 'simple' base-pair parameters employ the RC8--YC6 (default,
or RN9--YN1) vector as the (long) y-axis of the pair. As before, the
z-axis is the average of two base normals, taking consideration of the M-N
vs M+N base-pair classification. In essence, the 'simple' parameters make
geometrical sense through the introduction of an ad hoc base-pair
reference frame in each case. See x3dna.org for more details. The same
idea applies to the 'simple' inter-base-pair step parameters, which use
consecutive C1'--C1' vectors.

Here, 'angle' refers to the inter-base angle of each pair, with values in
the range of [0, 90] degrees corresponding to the net non-planarity, i.e.,
sqrt(buckle^2 + propeller^2).

This structure contains 0 non-Watson-Crick (with leading *) base pair(s)
----------------------------------------------------------------------------
Simple base-pair parameters based on RC8--YC6 vectors
      bp        Shear    Stretch   Stagger    Buckle  Propeller  Opening  angle
     1 C-G      -0.20     -0.13      0.06      1.77     -3.23      2.76    3.7
     2 G-C       0.26     -0.16      0.13     -2.83      3.78      1.81    4.7
     3 C-G      -0.30     -0.15      0.03      2.97      6.19      2.77    6.9
     4 G-C       0.30     -0.17      0.04     -5.05      3.33      2.40    6.1
     5 C-G      -0.18     -0.18     -0.05      5.40     -7.98      1.09    9.6
     6 G-C       0.22     -0.15      0.06     -3.94      2.61      1.75    4.7
           ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
       ave.      0.02     -0.16      0.05     -0.28      0.79      2.10
       s.d.      0.27      0.02      0.06      4.24      5.31      0.66
----------------------------------------------------------------------------
Simple base-pair step parameters based on consecutive C1'-C1' vectors
      step       Shift     Slide      Rise      Tilt      Roll     Twist
     1 CG/CG      0.24      5.46      3.55      2.36     -1.56    -11.48
     2 GC/GC      0.66     -0.30      3.18      1.35     -6.72    -52.01
     3 CG/CG     -0.46      5.58      3.61     -1.58      1.07     -9.95
     4 GC/GC     -0.70     -1.06      3.28      0.61     -0.75    -48.94
     5 CG/CG      0.10      5.52      3.70      2.34     -0.13     -8.58
            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
        ave.     -0.03      3.04      3.47      1.02     -1.62    -26.19
        s.d.      0.54      3.41      0.22      1.63      3.01     22.22
****************************************************************************
Structure classification: 

This is a left-handed Z-form structure
****************************************************************************
lambda: virtual angle between C1'-YN1 or C1'-RN9 glycosidic bonds and the
        base-pair C1'-C1' line

C1'-C1': distance between C1' atoms for each base-pair
RN9-YN1: distance between RN9-YN1 atoms for each base-pair
RC8-YC6: distance between RC8-YC6 atoms for each base-pair

    bp     lambda(I) lambda(II)  C1'-C1'   RN9-YN1   RC8-YC6
   1 C-G      51.9      48.7      10.9       9.0       9.9
   2 G-C      51.9      54.4      10.7       9.0       9.9
   3 C-G      53.6      48.8      10.8       9.0       9.9
   4 G-C      50.0      52.3      10.8       9.0       9.9
   5 C-G      54.5      50.5      10.7       8.9       9.8
   6 G-C      49.1      54.6      10.8       9.0       9.9
****************************************************************************
Classification of each dinucleotide step in a right-handed nucleic acid
structure: A-like; B-like; TA-like; intermediate of A and B, or other cases.

    step       Xp      Yp      Zp     XpH     YpH     ZpH    Form
   1 CG/CG    5.22    5.52   -2.75  -23.58    5.88   -1.65      
   2 GC/GC    4.44    7.42   -1.24    5.07    7.51   -0.39      
   3 CG/CG    5.17    5.49   -3.01  -41.70    4.99   -3.63      
   4 GC/GC    3.91    7.90    0.35    5.04    7.90    0.45      
   5 CG/CG    5.53    5.35   -2.53  -38.37    5.39   -2.26      
****************************************************************************
Minor and major groove widths: direct P-P distances and refined P-P distances
   which take into account the directions of the sugar-phosphate backbones

   (Subtract 5.8 Angstrom from the values to take account of the vdw radii
    of the phosphate groups, and for comparison with FreeHelix and Curves.)

Ref: M. A. El Hassan and C. R. Calladine (1998). ``Two Distinct Modes of
     Protein-induced Bending in DNA.'' J. Mol. Biol., v282, pp331-343.

                  Minor Groove        Major Groove
                 P-P     Refined     P-P     Refined
   1 CG/CG       ---       ---       ---       ---
   2 GC/GC       ---       ---       ---       ---
   3 CG/CG      11.9       ---      20.6       ---
   4 GC/GC       ---       ---       ---       ---
   5 CG/CG       ---       ---       ---       ---
****************************************************************************
Global linear helical axis defined by equivalent C1' and RN9/YN1 atom pairs
Deviation from regular linear helix: 3.60(0.11)
Helix:     0.0284    0.0123   -0.9995
HETATM 9998  XS    X X 999      15.062  14.565  33.054
HETATM 9999  XE    X X 999      15.572  14.785  15.091
Average and standard deviation of helix radius:
      P: 6.87(1.51), O4': 6.03(2.24),  C1': 5.53(2.79)

Global parameters based on C1'-C1' vectors:

disp.: displacement of the middle C1'-C1' point from the helix
angle: inclination between C1'-C1' vector and helix (subtracted from 90)
twist: helical twist angle between consecutive C1'-C1' vectors
rise:  helical rise by projection of the vector connecting consecutive
       C1'-C1' middle points onto the helical axis

     bp       disp.    angle     twist      rise
   1 C-G      4.51      2.08    -11.55      3.59
   2 G-C      1.03      3.04    -52.17      3.65
   3 C-G      2.62      2.43     -9.91      3.59
   4 G-C      2.68      1.80    -49.07      3.63
   5 C-G      1.57      3.54     -8.61      3.52
   6 G-C      3.79      3.57      ---       --- 
****************************************************************************
Main chain and chi torsion angles: 

Note: alpha:   O3'(i-1)-P-O5'-C5'
      beta:    P-O5'-C5'-C4'
      gamma:   O5'-C5'-C4'-C3'
      delta:   C5'-C4'-C3'-O3'
      epsilon: C4'-C3'-O3'-P(i+1)
      zeta:    C3'-O3'-P(i+1)-O5'(i+1)

      chi for pyrimidines(Y): O4'-C1'-N1-C2
          chi for purines(R): O4'-C1'-N9-C4

Strand I
  base    alpha    beta   gamma   delta  epsilon   zeta    chi
   1 C     ---     ---     55.3   139.9   -93.8    77.5  -145.3
   2 G     64.5  -175.7   175.8   100.1  -109.3   -74.2    63.6
   3 C   -145.8  -137.9    57.4   148.8   -89.9    77.4  -161.6
   4 G     70.6  -172.5   178.3    90.5  -125.7   -33.5    55.0
   5 C   -162.9  -148.5    50.7   131.7   -94.1    64.9  -157.4
   6 G     82.8   174.4  -177.2   148.0    ---     ---     71.7

Strand II
  base    alpha    beta   gamma   delta  epsilon   zeta    chi
   1 G     84.5  -173.7  -172.8   149.9    ---     ---     72.6
   2 C   -156.5  -130.7    53.1   143.8   -92.4    62.2  -160.2
   3 G     66.5   179.0  -178.9    98.4  -128.8   -57.5    61.2
   4 C    159.8   149.9    51.5   143.1   -94.0    71.9  -148.8
   5 G     70.2  -171.1  -178.9    94.5  -165.4    69.7    56.7
   6 C     ---     ---    -71.4   150.1   -92.6    71.2  -158.2
****************************************************************************
Sugar conformational parameters: 

Note: v0: C4'-O4'-C1'-C2'
      v1: O4'-C1'-C2'-C3'
      v2: C1'-C2'-C3'-C4'
      v3: C2'-C3'-C4'-O4'
      v4: C3'-C4'-O4'-C1'

      tm: the amplitude of pucker
      P:  the phase angle of pseudorotation

Strand I
 base       v0      v1      v2      v3      v4      tm       P    Puckering
   1 C    -28.3    35.5   -30.2    14.4     9.0    35.6   147.8    C2'-endo
   2 G     -6.0    -9.0    19.1   -23.1    18.3    22.8    33.1    C3'-endo
   3 C    -20.1    34.9   -35.8    24.7    -2.7    36.9   165.9    C2'-endo
   4 G    -12.4    -6.7    21.4   -29.0    25.6    29.0    42.4    C4'-exo 
   5 C    -32.0    36.0   -26.2     8.4    14.9    35.7   137.3    C1'-exo 
   6 G    -19.2    34.7   -36.6    26.4    -4.0    37.4   168.2    C2'-endo

Strand II
 base       v0      v1      v2      v3      v4      tm       P    Puckering
   1 G    -22.2    38.3   -40.4    29.0    -3.7    41.4   167.4    C2'-endo
   2 C    -27.3    38.4   -35.0    20.4     4.7    38.6   155.1    C2'-endo
   3 G     -1.9   -12.4    20.9   -22.8    15.3    22.8    23.1    C3'-endo
   4 C    -26.2    37.6   -34.4    20.6     3.6    37.6   156.1    C2'-endo
   5 G     -6.7    -9.9    21.3   -25.8    20.6    25.5    33.4    C3'-endo
   6 C    -22.1    36.3   -36.5    24.8    -1.5    38.0   164.1    C2'-endo
****************************************************************************
Same strand P--P and C1'--C1' virtual bond distances

                 Strand I                          Strand II
    step      P--P     C1'--C1'       step      P--P     C1'--C1'
   1 C/G       ---      6.29         1 G/C      5.93      6.15
   2 G/C      6.42      6.95         2 C/G      6.51      6.19
   3 C/G      6.30      6.17         3 G/C      6.69      6.41
   4 G/C      6.46      6.43         4 C/G      7.06      6.89
   5 C/G      5.61      6.30         5 G/C       ---      6.18
****************************************************************************
Helix radius (radial displacement of P, O4', and C1' atoms in local helix
   frame of each dimer)

                        Strand I                      Strand II
     step         P        O4'       C1'        P        O4'        C1'
   1 CG/CG     27.94     29.36     29.20     22.80     26.41     26.61
   2 GC/GC      9.50      7.45      6.87      8.66      6.02      5.49
   3 CG/CG     40.79     44.24     44.50     44.82     46.87     46.78
   4 GC/GC      9.25      6.36      5.86      9.59      7.65      7.11
   5 CG/CG     42.47     44.63     44.34     37.84     41.39     41.73
****************************************************************************
Position (Px, Py, Pz) and local helical axis vector (Hx, Hy, Hz)
         for each dinucleotide step

     step       Px        Py        Pz        Hx        Hy        Hz
   1 CG/CG     11.13     40.35     24.63      0.10     -0.21     -0.97
   2 GC/GC     14.65     10.74     27.53      0.09      0.01     -1.00
   3 CG/CG    -13.85     49.44     31.48     -0.27     -0.03     -0.96
   4 GC/GC     19.95     15.67     20.50      0.00     -0.03     -1.00
   5 CG/CG    -16.71     -8.26      3.82      0.30      0.07     -0.95
