4 cell (F) Cell Constants

Packet Size - 9 words

SEQ Description
Packet 1  
+1 a cell dimension in Angstroms
+2 b cell dimension in Angstroms
+3 c cell dimension in Angstroms
+4 cosα
+5 cosβ
+6 cosγ
+7 α in cycles (2π = 1.0000)
+8 β in cycles (2π = 1.0000)
+9 γ in cycles (2π = 1.0000)
Packet 2  
+1...+9 Estimated standard deviations of the quantities of packet 1
Packet 3  
+1...+9 Reciprocal cell constants, in same order as packet 1
Packet 4  
  Transformation matrix from fractional coordinates toorthogonal Angstrom coordinates as given by Rollett (Oxford Computing School,1965), p23. Crystal axes x, y, z; orthogonal axes X, Y, Z are defined with Zalong c, with Y in the b-c plane.
+1 t11 = a sinβ sinγ*
+2 t21 = -a sinβ cosγ*
+3 t31 = a cosβ
+4 t12 = 0
+5 t22 = b sinα
+6 t32 = b cosα
+7 t13 = 0 t11 t12 t13 x X
+8 t23 = 0 t21 t22 t23 y = Y
+9 t33 = c t31 t32 t33 z Z
Packet 5  
+1...+9 Transformation matrix from Miller indices to orthogonal pseudoMiller indices
Packet 6 Miscellaneous information.
+1 cell volume
+2 e.s.d. of cell volume
+3 last MIR cycle number, initialized to zero
+4 last least squares cycle number, initialized to zero
+5 goodness of fit parameter (chi squared), initialized to 100
Packet 7 Metric tensor
+1 a \(^{2}  \)
+2 a b cosγ
+3 a c cosβ
+4 a b cosγ
+5 b \(^{2}  \)
+6 b c cosα
+7 a c cosβ
+8 b c cosα
+9 c \(^{2}  \)
Packet 8 Inverse metric tensor.
+1...+9 In above order for reciprocal cell parameters
Packet 9-10  
  Protein data base othogonal to fractional 'scale'transformation as
  s11 s12 s13 u1
  s21 s22 s23 u2
  s31 s32 s33 u3, with the last 6 words as 0.0.
Packet 11-12  
  Protein data base transformation from fractionalcoordinates to orthogonal (see packets 9-10).