AFLOW Prototype: A2B4C_oF56_70_g_h_a
Prototype | : | Na2O4S |
AFLOW prototype label | : | A2B4C_oF56_70_g_h_a |
Strukturbericht designation | : | $H1_{7}$ |
Pearson symbol | : | oF56 |
Space group number | : | 70 |
Space group symbol | : | $Fddd$ |
AFLOW prototype command | : | aflow --proto=A2B4C_oF56_70_g_h_a --params=$a$,$b/a$,$c/a$,$z_{2}$,$x_{3}$,$y_{3}$,$z_{3}$ |
reported to be stable between 32 °C and about 180 °C(Nord, 1973), but the data reported here was taken on synthetic thenardite at 25 °C.
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = & \frac{1}{8} \, \mathbf{a}_{1} + \frac{1}{8} \, \mathbf{a}_{2} + \frac{1}{8} \, \mathbf{a}_{3} & = & \frac{1}{8}a \, \mathbf{\hat{x}} + \frac{1}{8}b \, \mathbf{\hat{y}} + \frac{1}{8}c \, \mathbf{\hat{z}} & \left(8a\right) & \text{S} \\ \mathbf{B}_{2} & = & \frac{7}{8} \, \mathbf{a}_{1} + \frac{7}{8} \, \mathbf{a}_{2} + \frac{7}{8} \, \mathbf{a}_{3} & = & \frac{7}{8}a \, \mathbf{\hat{x}} + \frac{7}{8}b \, \mathbf{\hat{y}} + \frac{7}{8}c \, \mathbf{\hat{z}} & \left(8a\right) & \text{S} \\ \mathbf{B}_{3} & = & z_{2} \, \mathbf{a}_{1} + z_{2} \, \mathbf{a}_{2} + \left(\frac{1}{4} - z_{2}\right) \, \mathbf{a}_{3} & = & \frac{1}{8}a \, \mathbf{\hat{x}} + \frac{1}{8}b \, \mathbf{\hat{y}} + z_{2}c \, \mathbf{\hat{z}} & \left(16g\right) & \text{Na} \\ \mathbf{B}_{4} & = & \left(\frac{1}{4} - z_{2}\right) \, \mathbf{a}_{1} + \left(\frac{1}{4} - z_{2}\right) \, \mathbf{a}_{2} + z_{2} \, \mathbf{a}_{3} & = & \frac{1}{8}a \, \mathbf{\hat{x}} + \frac{1}{8}b \, \mathbf{\hat{y}} + \left(\frac{1}{4}-z_{2}\right)c \, \mathbf{\hat{z}} & \left(16g\right) & \text{Na} \\ \mathbf{B}_{5} & = & -z_{2} \, \mathbf{a}_{1}-z_{2} \, \mathbf{a}_{2} + \left(\frac{3}{4} +z_{2}\right) \, \mathbf{a}_{3} & = & \frac{3}{8}a \, \mathbf{\hat{x}} + \frac{3}{8}b \, \mathbf{\hat{y}}-z_{2}c \, \mathbf{\hat{z}} & \left(16g\right) & \text{Na} \\ \mathbf{B}_{6} & = & \left(\frac{3}{4} +z_{2}\right) \, \mathbf{a}_{1} + \left(\frac{3}{4} +z_{2}\right) \, \mathbf{a}_{2}-z_{2} \, \mathbf{a}_{3} & = & \frac{3}{8}a \, \mathbf{\hat{x}} + \frac{3}{8}b \, \mathbf{\hat{y}} + \left(\frac{3}{4} +z_{2}\right)c \, \mathbf{\hat{z}} & \left(16g\right) & \text{Na} \\ \mathbf{B}_{7} & = & \left(-x_{3}+y_{3}+z_{3}\right) \, \mathbf{a}_{1} + \left(x_{3}-y_{3}+z_{3}\right) \, \mathbf{a}_{2} + \left(x_{3}+y_{3}-z_{3}\right) \, \mathbf{a}_{3} & = & x_{3}a \, \mathbf{\hat{x}} + y_{3}b \, \mathbf{\hat{y}} + z_{3}c \, \mathbf{\hat{z}} & \left(32h\right) & \text{O} \\ \mathbf{B}_{8} & = & \left(x_{3}-y_{3}+z_{3}\right) \, \mathbf{a}_{1} + \left(-x_{3}+y_{3}+z_{3}\right) \, \mathbf{a}_{2} + \left(\frac{1}{2} - x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{3} & = & \left(\frac{1}{4}-x_{3}\right)a \, \mathbf{\hat{x}} + \left(\frac{1}{4}-y_{3}\right)b \, \mathbf{\hat{y}} + z_{3}c \, \mathbf{\hat{z}} & \left(32h\right) & \text{O} \\ \mathbf{B}_{9} & = & \left(x_{3}+y_{3}-z_{3}\right) \, \mathbf{a}_{1} + \left(\frac{1}{2} - x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{2} + \left(-x_{3}+y_{3}+z_{3}\right) \, \mathbf{a}_{3} & = & \left(\frac{1}{4}-x_{3}\right)a \, \mathbf{\hat{x}} + y_{3}b \, \mathbf{\hat{y}} + \left(\frac{1}{4}-z_{3}\right)c \, \mathbf{\hat{z}} & \left(32h\right) & \text{O} \\ \mathbf{B}_{10} & = & \left(\frac{1}{2} - x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{1} + \left(x_{3}+y_{3}-z_{3}\right) \, \mathbf{a}_{2} + \left(x_{3}-y_{3}+z_{3}\right) \, \mathbf{a}_{3} & = & x_{3}a \, \mathbf{\hat{x}} + \left(\frac{1}{4}-y_{3}\right)b \, \mathbf{\hat{y}} + \left(\frac{1}{4}-z_{3}\right)c \, \mathbf{\hat{z}} & \left(32h\right) & \text{O} \\ \mathbf{B}_{11} & = & \left(x_{3}-y_{3}-z_{3}\right) \, \mathbf{a}_{1} + \left(-x_{3}+y_{3}-z_{3}\right) \, \mathbf{a}_{2} + \left(-x_{3}-y_{3}+z_{3}\right) \, \mathbf{a}_{3} & = & -x_{3}a \, \mathbf{\hat{x}}-y_{3}b \, \mathbf{\hat{y}}-z_{3}c \, \mathbf{\hat{z}} & \left(32h\right) & \text{O} \\ \mathbf{B}_{12} & = & \left(-x_{3}+y_{3}-z_{3}\right) \, \mathbf{a}_{1} + \left(x_{3}-y_{3}-z_{3}\right) \, \mathbf{a}_{2} + \left(\frac{1}{2} +x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{3} & = & \left(\frac{1}{4} +x_{3}\right)a \, \mathbf{\hat{x}} + \left(\frac{1}{4} +y_{3}\right)b \, \mathbf{\hat{y}}-z_{3}c \, \mathbf{\hat{z}} & \left(32h\right) & \text{O} \\ \mathbf{B}_{13} & = & \left(-x_{3}-y_{3}+z_{3}\right) \, \mathbf{a}_{1} + \left(\frac{1}{2} +x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{2} + \left(x_{3}-y_{3}-z_{3}\right) \, \mathbf{a}_{3} & = & \left(\frac{1}{4} +x_{3}\right)a \, \mathbf{\hat{x}}-y_{3}b \, \mathbf{\hat{y}} + \left(\frac{1}{4} +z_{3}\right)c \, \mathbf{\hat{z}} & \left(32h\right) & \text{O} \\ \mathbf{B}_{14} & = & \left(\frac{1}{2} +x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{1} + \left(-x_{3}-y_{3}+z_{3}\right) \, \mathbf{a}_{2} + \left(-x_{3}+y_{3}-z_{3}\right) \, \mathbf{a}_{3} & = & -x_{3}a \, \mathbf{\hat{x}} + \left(\frac{1}{4} +y_{3}\right)b \, \mathbf{\hat{y}} + \left(\frac{1}{4} +z_{3}\right)c \, \mathbf{\hat{z}} & \left(32h\right) & \text{O} \\ \end{array} \]