****************************************************************************
    3DNA v2.0 [June 8, 2008] (by Dr. Xiang-Jun Lu; 3dna.lu@gmail.com)
****************************************************************************
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: str221.pdb
Date and time: Mon Apr  2 00:11:51 2012

Number of base-pairs: 12
Number of atoms: 756
****************************************************************************
TITLE     756 SYSTEM IN WATER T= 221.00000
****************************************************************************
RMSD of the bases (----- for WC bp, + for isolated bp, x for helix change)

            Strand I                    Strand II          Helix
   1   (0.042) ....>-:...1_:[.DG]G-----C[.DC]:..24_:-<.... (0.060)     |
   2   (0.037) ....>-:...2_:[.DC]C-----G[.DG]:..23_:-<.... (0.027)     |
   3   (0.067) ....>-:...3_:[.DG]G-----C[.DC]:..22_:-<.... (0.031)     |
   4   (0.050) ....>-:...4_:[.DC]C-----G[.DG]:..21_:-<.... (0.050)     |
   5   (0.036) ....>-:...5_:[.DA]A-----T[.DT]:..20_:-<.... (0.036)     |
   6   (0.049) ....>-:...6_:[.DC]C-----G[.DG]:..19_:-<.... (0.034)     |
   7   (0.050) ....>-:...7_:[.DG]G-----C[.DC]:..18_:-<.... (0.031)     |
   8   (0.022) ....>-:...8_:[.DT]T-----A[.DA]:..17_:-<.... (0.050)     |
   9   (0.086) ....>-:...9_:[.DG]G-----C[.DC]:..16_:-<.... (0.060)     |
  10   (0.056) ....>-:..10_:[.DC]C-----G[.DG]:..15_:-<.... (0.079)     |
  11   (0.099) ....>-:..11_:[.DG]G-----C[.DC]:..14_:-<.... (0.035)     |
  12   (0.047) ....>-:..12_:[.DC]C-----G[.DG]:..13_:-<.... (0.078)     |
****************************************************************************
Detailed H-bond information: atom-name pair and length [ O N]
   1 G-----C  [3]  O6 - N4  2.95  N1 - N3  2.95  N2 - O2  2.80
   2 C-----G  [3]  N4 - O6  2.60  N3 - N1  3.17  O2 - N2  3.58
   3 G-----C  [3]  O6 - N4  3.19  N1 - N3  3.02  N2 - O2  2.85
   4 C-----G  [3]  N4 - O6  2.85  N3 - N1  2.84  O2 - N2  2.76
   5 A-----T  [2]  N6 - O4  3.09  N1 - N3  2.99
   6 C-----G  [3]  N4 - O6  3.15  N3 - N1  2.83  O2 - N2  2.68
   7 G-----C  [3]  O6 - N4  3.08  N1 - N3  2.98  N2 - O2  2.76
   8 T-----A  [2]  O4 - N6  2.73  N3 - N1  2.90
   9 G-----C  [3]  O6 - N4  2.99  N1 - N3  2.95  N2 - O2  2.98
  10 C-----G  [3]  N4 - O6  2.86  N3 - N1  2.88  O2 - N2  2.81
  11 G-----C  [3]  O6 - N4  2.90  N1 - N3  2.87  N2 - O2  2.85
  12 C-----G  [3]  N4 - O6  2.87  N3 - N1  3.03  O2 - N2  3.22
****************************************************************************
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 GC/GC  5.82( 3.85)  0.00( 0.00)  0.00( 0.00)  4.61( 2.47) 10.43( 6.32)
   2 CG/CG  1.09( 0.00)  0.00( 0.00)  0.25( 0.00)  0.00( 0.00)  1.35( 0.00)
   3 GC/GC  4.63( 2.34)  0.00( 0.00)  0.00( 0.00)  5.77( 3.58) 10.40( 5.92)
   4 CA/TG  2.75( 1.24)  0.00( 0.00)  0.01( 0.00)  0.28( 0.00)  3.04( 1.24)
   5 AC/GT  6.41( 3.66)  0.00( 0.00)  0.00( 0.00)  4.25( 0.62) 10.66( 4.28)
   6 CG/CG  0.00( 0.00)  0.00( 0.00)  6.72( 3.79)  0.00( 0.00)  6.72( 3.79)
   7 GT/AC  7.25( 2.15)  0.00( 0.00)  0.00( 0.00)  6.22( 3.66) 13.47( 5.80)
   8 TG/CA  4.34( 1.98)  0.00( 0.00)  0.00( 0.00)  2.57( 0.65)  6.90( 2.64)
   9 GC/GC  0.59( 0.00)  0.28( 0.00)  0.00( 0.00)  1.53( 0.00)  2.41( 0.00)
  10 CG/CG  1.69( 0.06)  0.00( 0.00)  0.88( 0.00)  3.43( 1.21)  6.01( 1.27)
  11 GC/GC  3.84( 1.58)  0.00( 0.00)  0.00( 0.00)  5.73( 2.74)  9.57( 4.32)
****************************************************************************
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 G-C      56.94     23.48     30.13     -0.93     -0.31     -0.19
    2 C-G      54.37     22.54     29.57     -0.92     -0.28     -0.26
    3 G-C      50.41     22.24     29.28     -0.91     -0.38     -0.19
    4 C-G      47.70     20.76     28.79     -0.96     -0.16     -0.25
    5 A-T      43.94     21.45     28.79     -0.98      0.06     -0.19
    6 C-G      41.16     23.56     28.49     -0.98      0.12     -0.14
    7 G-C      37.17     26.35     28.98     -0.99      0.10     -0.11
    8 T-A      33.64     28.51     29.54     -0.97      0.15     -0.17
    9 G-C      30.78     28.64     27.69     -0.87     -0.00     -0.50
   10 C-G      27.54     28.21     27.23     -0.85     -0.01     -0.53
   11 G-C      24.75     28.35     25.23     -0.85     -0.18     -0.49
   12 C-G      22.10     27.36     22.84     -0.84     -0.36     -0.41
****************************************************************************
Local base-pair parameters
     bp        Shear    Stretch   Stagger    Buckle  Propeller  Opening
    1 G-C       0.08      0.02     -0.33    -14.27      3.98      0.56
    2 C-G      -0.05      0.06      0.09      9.57     -3.22    -13.28
    3 G-C      -0.38      0.03     -0.58     -3.89     -3.14      3.96
    4 C-G       0.25     -0.16      0.02      5.23    -10.16     -0.37
    5 A-T       0.19      0.07      0.07     -9.52     -7.81     -0.29
    6 C-G       0.24     -0.03     -0.30     12.75     14.39      6.10
    7 G-C      -0.81     -0.14     -0.38    -14.61     -3.08      3.00
    8 T-A      -0.07     -0.14     -0.42    -22.40     -5.57     -5.42
    9 G-C       0.42      0.07     -0.11    -17.21    -12.29     -0.07
   10 C-G       0.56     -0.23     -0.56      6.54     12.33     -1.68
   11 G-C       0.27     -0.14     -0.49      8.43     -9.51      0.96
   12 C-G       0.19     -0.05     -0.33      2.20      0.91     -5.88
          ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
      ave.      0.07     -0.05     -0.28     -3.10     -1.93     -1.03
      s.d.      0.37      0.11      0.24     12.08      8.51      5.17
****************************************************************************
Local base-pair step parameters
    step       Shift     Slide      Rise      Tilt      Roll     Twist
   1 GC/GC      0.06     -0.12      2.79     -2.08     -4.22     13.11
   2 CG/CG      1.08      0.53      3.80      7.13      0.10     47.24
   3 GC/GC     -0.57     -0.41      3.05     -7.78     11.10     25.31
   4 CA/TG      0.81     -0.88      3.63      4.44     12.41     27.59
   5 AC/GT      1.51     -1.06      2.97      4.17      1.40     26.98
   6 CG/CG      0.40     -2.50      4.19      0.17     -2.20     29.82
   7 GT/AC     -1.00     -1.74      3.67      2.60      3.81     30.43
   8 TG/CA      0.74     -0.22      3.33      0.49     21.86     20.37
   9 GC/GC     -0.34      1.29      3.02      1.36      1.42     41.84
  10 CG/CG     -0.46     -0.31      3.39     -2.32      9.73     21.36
  11 GC/GC     -0.37     -0.77      3.60      1.78     10.90     34.54
          ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
      ave.      0.17     -0.56      3.40      0.91      6.03     28.96
      s.d.      0.79      1.03      0.42      4.01      7.81      9.67
****************************************************************************
Local base-pair helical parameters
    step       X-disp    Y-disp   h-Rise     Incl.       Tip   h-Twist
   1 GC/GC      2.98     -1.95      2.66    -17.76      8.76     13.93
   2 CG/CG      0.65     -0.66      3.91      0.12     -8.83     47.74
   3 GC/GC     -3.18     -0.50      2.70     23.31     16.33     28.66
   4 CA/TG     -4.33     -0.59      3.05     24.33     -8.71     30.52
   5 AC/GT     -2.58     -2.24      3.11      2.97     -8.86     27.33
   6 CG/CG     -4.24     -0.72      4.36     -4.27     -0.32     29.90
   7 GT/AC     -4.07      2.43      3.34      7.20     -4.92     30.77
   8 TG/CA     -5.00     -1.33      2.14     47.51     -1.07     29.80
   9 GC/GC      1.66      0.61      3.05      1.99     -1.91     41.88
  10 CG/CG     -4.10      0.33      3.00     24.58      5.85     23.56
  11 GC/GC     -2.87      0.86      3.20     17.81     -2.91     36.21
          ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
      ave.     -2.28     -0.34      3.14     11.62     -0.60     30.94
      s.d.      2.74      1.34      0.60     17.97      8.02      8.91
****************************************************************************
Structure classification: 

This is a right-handed nucleic acid 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 G-C      57.6      56.6      10.7       9.1      10.0
   2 C-G      49.0      48.5      11.3       9.4      10.0
   3 G-C      53.2      61.9      10.7       9.1      10.0
   4 C-G      57.0      52.8      10.6       8.9       9.8
   5 A-T      54.9      54.4      10.8       9.1      10.0
   6 C-G      58.5      55.9      10.5       8.9       9.9
   7 G-C      49.6      59.5      10.6       8.9       9.9
   8 T-A      51.7      56.7      10.5       8.8       9.6
   9 G-C      55.3      53.1      10.8       9.1      10.0
  10 C-G      60.2      48.3      10.7       9.0       9.8
  11 G-C      55.8      53.1      10.7       9.0       9.9
  12 C-G      50.1      50.8      11.0       9.2      10.0
****************************************************************************
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 GC/GC   -4.05    9.12   -1.51   -1.02    8.24   -4.15
   2 CG/CG   -2.24    8.83    0.29   -1.71    8.83    0.32     B
   3 GC/GC   -4.06    9.10   -0.65   -6.93    8.67    2.77     B
   4 CA/TG   -3.22    9.18    0.30   -7.45    8.28    4.02
   5 AC/GT   -3.17    9.21    1.03   -5.69    9.14    1.49
   6 CG/CG   -3.38    8.33    1.93   -7.49    8.45    1.33
   7 GT/AC   -3.58    8.97    0.80   -7.40    8.81    1.83
   8 TG/CA   -4.26    8.76   -0.67   -9.08    6.51    5.89
   9 GC/GC   -2.30    8.70   -0.08   -0.73    8.70    0.21     B
  10 CG/CG   -3.74    9.22   -0.75   -7.66    8.74    2.97     B
  11 GC/GC   -2.90    9.03    0.30   -5.61    8.55    2.92     B
****************************************************************************
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 GC/GC       ---       ---       ---       ---
   2 CG/CG       ---       ---       ---       ---
   3 GC/GC      14.9       ---      20.1       ---
   4 CA/TG      16.3      15.8      17.8      16.9
   5 AC/GT      13.3      12.8      23.8      23.5
   6 CG/CG      10.9      10.2      26.3      26.3
   7 GT/AC      13.4      12.4      22.1      22.1
   8 TG/CA      16.7      16.0      19.9      19.2
   9 GC/GC      16.5       ---      19.2       ---
  10 CG/CG       ---       ---       ---       ---
  11 GC/GC       ---       ---       ---       ---
****************************************************************************
Global linear helical axis defined by equivalent C1' and RN9/YN1 atom pairs
Deviation from regular linear helix: 3.29(0.78)
****************************************************************************
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 G     ---     ---     63.2   123.4  -170.2   -92.9   -87.7
   2 C    -56.0   159.8    41.3   131.4   -76.9   128.1   -79.0
   3 G    -82.5   155.6    42.7   144.7  -156.9   -84.9  -108.8
   4 C    -81.4   153.6    53.7    81.2  -163.9   -79.2  -135.5
   5 A    -75.8   167.7    75.0    87.4  -171.7   -85.1  -158.2
   6 C    126.4  -165.0  -154.0   138.9   179.9  -106.6  -133.6
   7 G    -50.9   169.4    57.4   116.3  -155.6   -74.4  -167.8
   8 T    -67.2  -178.3    35.0   133.8  -156.2   -76.7  -125.0
   9 G    -92.5   165.5    36.7   134.1   -71.5   137.7   -99.9
  10 C    -65.1  -174.9     0.3   147.8  -173.9   -87.6   -91.3
  11 G    -80.7   144.1    91.4    96.7  -173.6   -82.2  -138.4
  12 C    -61.1  -177.6    50.8   118.8    ---     ---   -117.9

Strand II
  base    alpha    beta   gamma   delta  epsilon   zeta    chi
   1 C    -78.1   174.8    ---     ---     ---     ---    -84.7
   2 G    -81.5   158.8    45.6   142.7  -162.5   -80.9  -103.2
   3 C    -64.3  -175.6    25.0   136.8   -81.2   146.1   -84.4
   4 G   -102.4   180.0    70.1   128.6  -155.7   -97.1  -122.9
   5 T    -62.0  -171.5    56.1   130.4  -174.3   -87.7  -113.0
   6 G    -63.9  -171.7    42.3   116.3   176.6   -89.2  -137.0
   7 C    -70.2   145.7    95.2    97.2  -170.0   -86.8  -159.2
   8 A    -75.4   176.1    41.0   137.9  -178.7  -119.4   -78.7
   9 C    -72.2   162.1    24.4   148.7  -175.3   -82.7   -95.4
  10 G    -56.3   169.6     1.8   144.8   -73.0   139.6   -85.0
  11 C    -70.2   168.3    70.9   134.1  -142.9   -73.6  -136.6
  12 G     ---     ---     56.7    71.4  -157.5   -71.3  -169.7
****************************************************************************
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: amplitude of pseudorotation of the sugar ring
      P:  phase angle of pseudorotation of the sugar ring

Strand I
 base       v0      v1      v2      v3      v4      tm       P    Puckering
   1 G    -26.7    32.6   -27.1    13.5     7.9    32.2   147.2    C2'-endo
   2 C    -44.3    48.8   -30.6     6.1    23.6    47.2   130.4    C1'-exo 
   3 G    -20.9    33.6   -33.6    22.9    -1.4    34.9   163.7    C2'-endo
   4 C    -32.9     8.0    17.9   -39.1    45.0    44.3    66.2    C4'-exo 
   5 A    -31.1     5.4    19.0   -36.8    44.4    42.7    63.6    C4'-exo 
   6 C    -21.8    35.5   -32.8    21.7    -0.3    34.8   160.7    C2'-endo
   7 G    -31.6    25.8   -13.2    -4.4    23.1    30.6   115.5    C1'-exo 
   8 T    -32.8    35.9   -27.2     9.1    15.1    36.4   138.2    C1'-exo 
   9 G    -47.5    50.7   -35.2     9.0    24.2    51.0   133.7    C1'-exo 
  10 C     23.5    -1.6   -18.7    33.5   -35.8    36.0   238.7    C4'-endo
  11 G    -41.4    32.2   -12.0   -12.5    35.0    41.2   106.9    O4'-endo
  12 C    -44.3    37.4   -19.8    -4.5    30.2    42.7   117.6    C1'-exo 

Strand II
 base       v0      v1      v2      v3      v4      tm       P    Puckering
   1 C     ---     ---     ---     ---     ---  10000.0   180.0    C3'-exo 
   2 G    -18.7    33.7   -34.3    24.9    -4.3    35.1   167.6    C2'-endo
   3 C    -28.7    35.0   -29.5    14.9     8.3    34.8   147.8    C2'-endo
   4 G    -38.5    42.4   -29.8     8.7    18.5    41.9   135.3    C1'-exo 
   5 T    -30.7    40.2   -33.7    17.9     7.7    39.1   149.7    C2'-endo
   6 G    -30.4    31.9   -22.7     4.6    17.2    33.3   133.0    C1'-exo 
   7 C    -44.8    29.1    -5.2   -20.4    41.3    44.4    96.8    O4'-endo
   8 A    -29.5    39.4   -33.0    17.8     7.0    38.1   150.2    C2'-endo
   9 C      0.2    16.7   -24.4    26.4   -17.7    26.0   200.2    C3'-exo 
  10 G    -39.1    49.2   -38.0    16.2    14.5    47.3   143.5    C1'-exo 
  11 C    -36.4    39.9   -30.8    10.5    16.7    40.8   138.9    C1'-exo 
  12 G    -11.0   -17.0    36.2   -43.7    34.3    43.1    32.9    C3'-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 G/C       ---       4.2         1 C/G       7.0       4.8
   2 C/G       6.4       5.4         2 G/C       6.3       5.4
   3 G/C       7.0       4.6         3 C/G       6.7       5.1
   4 C/A       6.1       5.1         4 G/T       6.8       5.3
   5 A/C       6.7       5.4         5 T/G       6.4       5.3
   6 C/G       7.6       5.2         6 G/C       7.1       6.3
   7 G/T       6.7       5.7         7 C/A       6.8       4.4
   8 T/G       6.6       5.0         8 A/C       6.8       5.0
   9 G/C       6.2       5.8         9 C/G       6.3       5.3
  10 C/G       6.8       4.2        10 G/C       6.8       5.2
  11 G/C       7.0       5.5        11 C/G       ---       5.6
****************************************************************************
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 GC/GC       6.6       3.1       3.4      10.0       7.2       7.2
   2 CG/CG       8.2       5.7       5.1       9.8       6.8       6.3
   3 GC/GC      10.3       7.9       7.0      11.9       8.8       8.1
   4 CA/TG      10.6       8.7       8.1      11.7       9.5       8.7
   5 AC/GT       9.2       6.5       5.9      12.5      10.0       9.2
   6 CG/CG      10.5       9.0       8.3      12.1       9.7       9.0
   7 GT/AC      14.0      11.0      10.3       9.2       7.4       6.8
   8 TG/CA      11.1       8.7       7.8      11.3       9.7       8.6
   9 GC/GC       9.3       6.4       6.0       8.2       5.5       4.9
  10 CG/CG      11.1       8.9       8.1      12.2       9.1       8.3
  11 GC/GC      11.4       8.7       8.0       9.1       7.7       7.0
****************************************************************************
Position (Px, Py, Pz) and local helical axis vector (Hx, Hy, Hz)
         for each dinucleotide step

     step       Px        Py        Pz        Hx        Hy        Hz
   1 GC/GC     55.67     24.80     26.80     -0.75     -0.57     -0.34
   2 CG/CG     52.44     22.58     28.60     -0.96     -0.26     -0.11
   3 GC/GC     47.53     24.21     29.32     -0.70     -0.33     -0.63
   4 CA/TG     46.57     25.22     28.34     -0.80      0.08     -0.60
   5 AC/GT     43.64     23.50     25.67     -0.94      0.20     -0.28
   6 CG/CG     39.79     26.51     24.93     -0.98      0.18     -0.09
   7 GT/AC     36.29     29.85     25.48     -0.97      0.01     -0.22
   8 TG/CA     34.32     25.68     25.13     -0.79     -0.61      0.03
   9 GC/GC     28.90     30.03     27.74     -0.86     -0.05     -0.50
  10 CG/CG     26.19     24.26     25.88     -0.99     -0.00     -0.11
  11 GC/GC     23.76     25.12     24.80     -0.97     -0.17     -0.20
