Fig. 1.

Fig. 2.

Fig. 3.

Fig. 4.

Fig. 5.

Fig. 6.

Fig. 7.

Calculated single crystal elastic constants Cij (GPa), polycrystalline elastic modulus (GPa), shear modulus G (GPa), Young’s modulus E (GPa), Poisson’s ratio ν and shear anisotropic factor A for the CoNiMnSi compound_
| Material | C11 | C12 | C44 | G | E | ν | A |
|---|---|---|---|---|---|---|---|
| CoNiMnSi | 425.75 | 68.52 | 172.49 | 174.94 | 400.37 | 0.144 | 0.966 |
| Co2MnSi | 311.16 [4] | 164.75 [4] | 153.26 [4] | – | – | – | – |
| 316 [27] [28] | 174 [27] [28] | 143 [27] [28] |
Calculated equilibrium lattice parameters a0 (Å), bulk modulus B0 (GPa), its pressure derivative B′0 (GPa) and equilibrium energy E0 (Ryd) for the CoNiMnSi compound in the different structures considered in this work_
| Material | Structure | a0(Å) | B0 (GPa) | B′ | E0 (Ryd) |
|---|---|---|---|---|---|
| CoNiMnSi | Hg2CuTi-type | 5.6256 | 179.51 | 3.50 | −8726.0826 |
| Cu2MnAl-type | 5.6810 | 187.89 | 5.06 | −8726.1164 | |
| LiMgPbSb-type | 5.6787 | 187.6 | 4.81 | −8726.1177 | |
| Co2MnSi | Cu2MnAl-type | 5.633 [4] | 212.8 [4] | 4.68 [4] | – |
| 5.634 b [25] | 226 b [25] | – | – | ||
| 5.639 c [26] | 214 c [26] | 4.674 c [26] | – |
Calculated spin-polarization, exchange energy (∆E(FM−AFM), and Curie temperature (Tc)_
| Compounds | ∆E(FM–AFM) (mRy/Atom) | TC (K) | Spin polarization ratio (%) |
|---|---|---|---|
| CoNiMnSi | −0.011 | 871.89 GGA | 56 % GGA |
| 1107.19 GGA + U | 100 % GGA+U | ||
| Co2MnSi | 928 [4] | 100 % | |
| 985 [27] [28] |
Calculated longitudinal, transverse and average sound velocity (v1, vt, and vm, in ms−1) and Debye temperature (θD, K) for the CoNiMnSi compound_
| (T = 0) Material | VS | V1 | Vm | θD |
|---|---|---|---|---|
| (P = 0) | [m/s] | [m/s] | [m/s] | [K] |
| CoNiMnSi | 4902.70 | 7604.25 | 5381.81 | 445.20 |
Total, interstitial and local magnetic moments_
| Compounds | μTotal (μB/Cell) | μinterstitial (μB/Cell) | μatomic (μB/Cell) | ||||
|---|---|---|---|---|---|---|---|
| Co1 | Ni/Co2 | Mn | Si | ||||
| CoNiMnSi | GGA | 4.69 | 0.038 | 1.036 | 0.458 | 3.18 | 0.022 0.038 |
| GGA+U | 5.99 | −0.03377 | 1.613 | 0.567 | 3.89 | ||
| Co2MnSi | 5.00 [4] [25] [29] [26] | – | – | – | – | – |
