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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [X TransVec NumAtom Diameter ChiralAngle]=createCNT(n,m)
%This function creates the coordinates of a (n,m) nanotube, with n>m
%Usage:
%   [X TransVec NumAtom Diameter ChiralAngle]=createCNT(8,0);
%   X -- coordinates of atoms in the nanotube unit cell
%   TransVec -- Translational Vector T of the nanotube
%   NumAtom -- Number of atoms in one unit cell of nanotube
%   Diamter -- diameter of the nanotube
%   ChiralAngle -- chiral angle of the nanotube
%   by bshan 2005

%change order if n if(n     temp=n;
    n=m;
    m=temp;
end


nk=6000;
acc=1.44;   %acc is the C-C bond length
%  a: the lengh of the unit vector
%  pi =3.1415926
%  sq3=1.732
sq3=sqrt(3.0d0);
a=sq3*acc;
l2 = n*n+m*m+n*m;
l = sqrt(l2);
dt = a*l/pi;

nd = gcd(n,m);  %nd is the greatest common dividor of n,m
if(mod((n-m),3*nd)==0)
  ndr = 3*nd;
else
  ndr = nd;
    end
   
   
nr = (2*m+n)/ndr;   %first component of T
ns = -(2*n+m)/ndr;  %second component of T
nt2 = 3*l2/ndr/ndr;
nt = floor(sqrt(nt2));
   
    nn = 2*l2/ndr;      %nn is number of haxagonals per unit cell

    %start searching the symmetry vector.The search range is set from
    %-abs(n60) to abs(n60)
ichk=0;
if(nr==0)
  n60=1;
else
  n60=nr*4;
    end
   
    for i=-abs(n60):abs(n60)
for j=-abs(n60):abs(n60)
   j2 = nr*j-ns*i;
        if(j2==1)
            j1= m*i-n*j;
            if((j1>0)&&(j1                 ichk=ichk+1;
                nnp(ichk)=i;
                nnq(ichk)=j;
            end
         end
       end
    end
   
    %symmetry vector is not found. Probably the search range is not large
    %enough.
    if(ichk==0)
  error('not found p,q strange!!')
    end
    %more than one symmetry vector found.
if(ichk>=2)
  error('more than 1 pair p,q strange!!')
    end

    %symmetry vector (np,nq)   
np = nnp(1);
nq = nnq(1);

    %msg=sprintf('the symmetry vector is %d %d',np,nq);
    %disp(msg);
   
%   
%  r:|R| , c:|C_h|, t:|T|
%

lp = np*np + nq*nq + np*nq;
    r=a*sqrt(lp);
c=a*l;
t=sq3*c/ndr;
   
%  nn: the number of hexagon in the unit cell N

%  rs: radius of the tube

      if((2*nn)>nk)
          error('parameter nk is too small!')
      end
               
      rs=c/(2.0d0*pi);

%msg=sprintf('radius=%f ,t=%f',rs,t);
    %disp(msg);

%  q1: the chiral angle for C_h
%  q2: the chiral angle for R
%  q3: the chiral between C_h and R

    q1=atan((sq3*m)/(2*n+m));
q2=atan((sq3*nq)/(2*np+nq));
q3=q1-q2;

%  q4: a period of an angle for the A atom
%  q5: the difference of the angle between the A and B atom
q4=2.0*pi/nn;
q5=acc*cos((pi/6.0d0)-q1)/c*2.0*pi;

%  h1:
%  h2: Delta z between the A and B atom

    h1=abs(t)/abs(sin(q3));
h2=acc*sin((pi/6.0)-q1);

%  The A atom

      ii=0;
for i=0:nn-1
    x1=0;
    y1=0;
    z1=0;
       k=floor(i*abs(r)/h1);
    x1=rs*cos(i*q4);
    y1=rs*sin(i*q4);
       z1=(i*abs(r)-k*h1)*sin(q3);
    kk2=abs(floor((z1+0.0001)/t));   
      
%  Check the A atom is in the unit cell 0<=z1 %  If it is outside the unit cell, translate it back using periodic
%  boundary concition
       if(z1>=t-0.0001)
     z1=z1-t*kk2;
       elseif(z1<0)
     z1=z1+t*kk2;
       else
    end

ii=ii+1;
x(ii)=x1;
y(ii)=y1;
z(ii)=z1;

%   The B atom

      z3=(i*abs(r)-k*h1)*sin(q3)-h2;
ii=ii+1;
%  Check the B atom is in the unit cell 0<=z3
   if((z3>=0)&&(z3   x2 =rs*cos(i*q4+q5);
  y2 =rs*sin(i*q4+q5);
     z2 =(i*abs(r)-k*h1)*sin(q3)-h2;
  x(ii)=x2;
  y(ii)=y2;
  z(ii)=z2;
else
  x2 =rs*cos(i*q4+q5);
  y2 =rs*sin(i*q4+q5);
  z2 =(i*abs(r)-(k+1)*h1)*sin(q3)-h2;
  kk=abs(floor(z2/t));
  if(z2>=t-0.0001)
   z2 =z2-t*kk;
     elseif(z2<0)
   z2 =z2+t*kk;
     else
  end
x(ii)=x2;
y(ii)=y2;
z(ii)=z2;
    end
    end
  
    %total number of atoms
     ntotal=2*nn;
        
for i=1:ntotal
   X(i,: )=[x(i) y(i) z(i)];
    end     
   
    TransVec=t;
    NumAtom=ntotal;
    Diameter=rs*2;
    ChiralAngle=atan((sq3*n)/(2*m+n))/pi*180;
    %write coordinates to xyz file format
    fid=fopen('nanotube.xyz','w');
    fprintf(fid,'%d\n',size(X,1));
    fprintf(fid,'created by GUI_TB program\n');
    for i=1:ntotal
        fprintf(fid,'C   %f %f %f \n',X(i,1),X(i,2),X(i,3));
    end
    fclose(fid);
    %write coordinates to pdb file format(for visualization using rasmol)
    fid=fopen('nanotube.pdb','w');
    for i=1:ntotal
        fprintf(fid,'ATOM %6d C    ADE A   1    %8.3f%8.3f%8.3f    1.    0.\n',i,X(i,1),X(i,2),X(i,3));
    end
    fprintf(fid,'TER\n');
    fclose(fid);

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

[ Last edited by csfn on 2008-12-29 at 20:11 ]
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