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Seo et al. Energy Mater. 2025, 5, 500123    https://dx.doi.org/10.20517/energymater.2025.38                                                                                    Page 5 of 18



                          Table 1. Crystallographic data for Ca Yb Zn 4.5-y Sb  [0 ≤ x ≤ 1.28(2), 0.02(2) ≤ y ≤ 0.05(2)] system
                                                             9-x
                                                                  x
                                                                           9
                                          Empirical formula                  Ca Zn 4.48(2) Sb 9     Ca 8.43(2) Yb 0.57 Zn 4.46(1) Sb 9     Ca 8.01(3) Yb 0.99 Zn 4.46(1) Sb 9    Ca 7.72(2) Yb 1.28 Zn 4.45(2) Sb 9
                                                                               9
                          Structure type                                     Ca Mn Bi -type
                                                                               9   4  9
                          Crystal system                                     Orthorhombic
                          Space group                                        Pbam (No. 55)
                          Lattice parameters (Å)                a            12.4557(6)             12.5080(3)                             12.4546(4)                            12.4523(7)

                                                                b            21.848(1)              21.9140(6)                             21.8344(6)                            21.845(2)
                                                                c            4.5425(2)              4.5574(1)                              4.5412(1)                             4.5438(2)
                                    3
                          Volume (Å )                                        1,236.2(1)             1,249.18(5)                            1,234.93(6)                           1,236.0(2)
                                       3
                          Density (g/cm )                                    4.700                  4.847                                  5.058                                 5.151
                          Data/restraints/parameters                         1,786/0/76             2,221/0/81                             1,286/0/81                            1,947/0/81
                                  a
                          R indices  [I > 2σ(I)]                R            0.0198                 0.0256                                 0.0194                                0.0176
                                                                 1
                                                                wR           0.0402                 0.0550                                 0.0383                                0.0349
                                                                   2
                                  a
                          R indices  (all data)                 R 1          0.0202                 0.0291                                 0.0206                                0.0223
                                                                wR           0.0403                 0.0565                                 0.0386                                0.0364
                                                                   2
                                            2
                          Goodness of fit on F                               1.406                  1.199                                  1.264                                 1.065
                                                         3
                          Largest diff. of peak and hole (e/Å )              0.996/-1.350           0.930/-1.641                           0.873/-1.329                          0.883/-1.017

                          a                               2   2       2 2  1/2             2  2     2                    2    2
                          R  = Σ||F |-|F ||/Σ|F |; wR  = {Σ[w(F -F )/Σ[w(F ) ]}  , where w = 1/[σ F +(A-P) +B-P], in which P = (F  + 2F )/3 and A and B are weight coefficients.
                            1     o   c    o    2         o  c        o                      o                          o     c


                          crystallographic data can be obtained free of charge from The Cambridge Crystallographic Data Centre via www.ccdc.cam.ac.uk/data_request/cif. The
                          depository numbers are as follows: CCDC- 2422809 for Ca Zn                 4.48(2) Sb , CCDC-2422810 for Ca     8.43(2) Yb Zn 4.46(1) Sb , CCDC- 2422811 for Ca     8.01(3) Yb Zn  4.46(1) Sb ,
                                                                                                             9
                                                                                                 9
                                                                                                                                                  0.57
                                                                                                                                                                                                                    9
                                                                                                                                                                                                      0.99
                                                                                                                                                                9
                          and CCDC- 2422812 for Ca         7.72(2) Yb Zn 4.45(2) Sb .
                                                                                9
                                                                   1.28
                          DFT calculation
                          To understand how atomic substitutions influence the electronic structure of the studied system, DFT calculations were carried out by employing the TB-
                          LMTO-ASA method          [24-27]  with two hypothetical models. For practical reasons, these two hypothetical models were designed to have the monoclinic subgroup

                          Pc (no. 7) rather than the refined space group orthorhombic Pnma (no. 55) to apply the idealized compositions of Ca Zn Sb  and Ca YbZn Cu Sb . Lattice
                                                                                                                                                                                           8
                                                                                                                                                                                 9
                                                                                                                                                                                                   4
                                                                                                                                                                                                            9
                                                                                                                                                                                                       0.5
                                                                                                                                                                        9
                                                                                                                                                                            4.5
                          parameters and atomic sites information necessary to build these models were taken from the SXRD refinement results of Ca Zn                                                  4.48(2) Sb  and
                                                                                                                                                                                                                9
                                                                                                                                                                                                    9
                          Ca 8.01(3) Yb Zn 4.46(1) Sb , respectively. The obtained DOS, COHP curves, band structures, and ELF illustrations were carefully investigated. Detailed
                                     0.99
                                                  9
                          crystallographic information on these models is presented in Supplementary Table 2.
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