Cf Structure: A_aP4_2_aci
| Prototype | : | Cf |
| AFLOW prototype label | : | A_aP4_2_aci |
| Strukturbericht designation | : | None |
| Pearson symbol | : | aP4 |
| Space group number | : | 2 |
| Space group symbol | : | $\mbox{P}\bar{1}$ |
| AFLOW prototype command | : | aflow --proto=A_aP4_2_aci --params=$a,b/a,c/a,\alpha,\beta,\gamma,x_{3},y_{3},z_{3}$ |
- This is a high-pressure phase, observed between 30 and 40 GPa.
Triclinic primitive vectors:
\[
\begin{array}{ccc}
\mathbf{a}_1 & = & a \mathbf{\hat{x}} \\
\mathbf{a}_2 & = & b \cos\gamma \, \mathbf{\hat{x}} + b \sin\gamma \,\mathbf{\hat{y}} \\
\mathbf{a}_3 & = & c_x \mathbf{\hat{x}}
+ c_y \, \mathbf{\hat{y}}
+ c_z \, \mathbf{\hat{z}}
\end{array}
\]
Basis vectors:
\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B}_{1} & = & 0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = & 0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(1a\right) & \mbox{Cf I} \\ \mathbf{B}_{2} & = & \frac12 \mathbf{a}_{2}& =& \frac12 \, b \, \cos\gamma \, \mathbf{\hat{x}} + \frac12 \, b \, \sin\gamma \,\mathbf{\hat{y}}& \left(1c\right) & \mbox{Cf II} \\ \mathbf{B}_{3} & =& x_{3} \, \mathbf{a}_{1} + y_{3} \, \mathbf{a}_{2} + z_{3} \, \mathbf{a}_{3}& =& \left(x_{3} \, a + y_{3} \, b \, \cos\gamma \, + z_{3} \, c_x\right)\, \mathbf{\hat{x}}+ \left(y_{3} \, b \, \sin\gamma + z_{3} \, c_y\right) \, \mathbf{\hat{y}}+ z_{3} \, c_z \, \mathbf{\hat{z}}& \left(2i\right) & \mbox{Cf III} \\ \mathbf{B}_{4} & =& - x_{3} \, \mathbf{a}_{1} - y_{3} \, \mathbf{a}_{2} - z_{3} \, \mathbf{a}_{3}& =& - \left(x_{3} \, a + y_{3} \, b \, \cos\gamma \, + z_{3} \, c_x\right)\, \mathbf{\hat{x}}- \left(y_{3} \, b \, \sin\gamma + z_{3} \, c_y\right) \, \mathbf{\hat{y}}- z_{3} \, c_z \, \mathbf{\hat{z}}& \left(2i\right) & \mbox{Cf III} \\ \end{array} \]References
- R. B. Roof, Concerning the Structure of a High Pressure Phase in Californium Metal, J. Less–Common Met. 120, 345–349 (1986), doi:10.1016/0022-5088(86)90660-0.
Found in
- P. Villars and L. Calvert, Pearson's Handbook of Crystallographic Data for Intermetallic Phases (ASM International, Materials Park, OH, 1991), 2nd edn., pp. 2332.