Gd<sub>4</sub>Ge<sub>3–<i>x</i></sub><i>Pn</i><sub><i>x</i></sub> (<i>Pn</i> = P, Sb, Bi, <i>x</i> = 0.5–3): Stabilizing the Nonexisting Gd<sub>4</sub>Ge<sub>3</sub> Binary through Valence Electron Concentration. Electronic and Magnetic Properties of Gd<sub>4</sub>Ge<sub>3–<i>x</i></sub><i>Pn</i><sub><i>x</i></sub>

Abstract

Gd<sub>4</sub>Ge<sub>3–<i>x</i></sub><i>Pn</i><sub><i>x</i></sub> (<i>Pn</i> = P, Sb, Bi; <i>x</i> = 0.5–3) phases have been prepared and characterized using X-ray diffraction, wavelength-dispersive spectroscopy, and magnetization measurements. All Gd<sub>4</sub>Ge<sub>3–<i>x</i></sub><i>Pn</i><sub><i>x</i></sub> phases adopt a cubic anti-Th<sub>3</sub>P<sub>4</sub> structure, and no deficiency on the Gd or <i>p</i>-element site could be detected. Only one P-containing phase with the Gd<sub>4</sub>Ge<sub>2.51(5)</sub>P<sub>0.49(5)</sub> composition could be obtained, as larger substitution levels did not yield the phase. Existence of Gd<sub>4</sub>Ge<sub>2.51(5)</sub>P<sub>0.49(5)</sub> and Gd<sub>4</sub>Ge<sub>2.49(3)</sub>Bi<sub>0.51(3)</sub> suggests that the hypothetical Gd<sub>4</sub>Ge<sub>3</sub> binary can be easily stabilized by a small increase in the valence electron count and that the size of the <i>p</i> element is not a key factor. Electronic structure calculations reveal that large substitution levels with more electron-rich Sb and Bi are possible for charge-balanced (Gd<sup>3+</sup>)<sub>4</sub>(Ge<sup>4–</sup>)<sub>3</sub> as extra electrons occupy the bonding Gd–Gd and Gd–Ge states. This analysis also supports the stability of Gd<sub>4</sub>Sb<sub>3</sub> and Gd<sub>4</sub>Bi<sub>3</sub>. All Gd<sub>4</sub>Ge<sub>3–<i>x</i></sub><i>Pn</i><sub><i>x</i></sub> phases order ferromagnetically with relatively high Curie temperatures of 234–356 K. The variation in the Curie temperatures of the Gd<sub>4</sub>Ge<sub>3–<i>x</i></sub>Sb<sub><i>x</i></sub> and Gd<sub>4</sub>Ge<sub>3–<i>x</i></sub>Bi<sub><i>x</i></sub> series can be explained through the changes in the numbers of conduction electrons associated with Ge/Sb­(Bi) substitution

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