Table 1 Basis vectors (BV) of each irrep present in the magnetic representation of the Ho 2c site for the space group \(P6_3/mmc.1'\) with \(\vec {k}_\mathrm{{HM}}=(0\,0\,\delta )\).
From: Revisiting the magnetic structure of Holmium at high pressure by using neutron diffraction
irrep | BV | Ho1 (1/3 2/3 1/4) | Ho2 (2/3 1/3 3/4) |
|---|---|---|---|
m\(\Delta _2\) | \(\psi _1^2\) | \(\left( 0 \,0\, 1\right)\) | \(\left( 0 \,0 \,1\right) \text{e}^{-i\pi \delta }\) |
m\(\Delta _3\) | \(\psi _1^3\) | \(\left( 0 \,0\, 1\right)\) | \(\left( 0 \,0 \,\bar{1}\right) \text{e}^{-i\pi \delta }\) |
m\(\Delta _5\) | \(\psi _1^5\) | \(\left( 1-\frac{1}{\sqrt{3}}\,i,\,-\frac{2}{\sqrt{3}}\,i,\,0\right)\) | \(\left( 1-\frac{1}{\sqrt{3}}\,i,\,-\frac{2}{\sqrt{3}}\,i,\,0\right) \text{e}^{-i\pi (\delta +1)}\) |
\(\psi _2^5\) | \(\left( -\frac{2}{\sqrt{3}}\,i,\,1-\frac{1}{\sqrt{3}}\,i,\,0\right)\) | \(\left( -\frac{2}{\sqrt{3}}\,i,\,1-\frac{1}{\sqrt{3}}\,i,\,0\right) \text{e}^{-i\pi (\delta +1)}\) | |
m\(\Delta _6\) | \(\psi _1^6\) | \(\left( 1-\frac{1}{\sqrt{3}}\,i,\,-\frac{2}{\sqrt{3}}\,i,\,0\right)\) | \(\left( 1-\frac{1}{\sqrt{3}}\,i,\,-\frac{2}{\sqrt{3}}\,i,\,0\right) \text{e}^{-i\pi \delta }\) |
\(\psi _2^6\) | \(\left( -\frac{2}{\sqrt{3}}\,i,\,1-\frac{1}{\sqrt{3}}\,i,\,0\right)\) | \(\left( -\frac{2}{\sqrt{3}}\,i,\,1-\frac{1}{\sqrt{3}}\,i,\,0\right) \text{e}^{-i\pi \delta }\) |
