Table 3 Predicted phase composition for some selected (RE1_1/6RE2_1/6RE3_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇ via RFC models based on decision fusion

(La_1/6Ce_1/6Eu_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.854

0.043

0.103

Multiple

80

0

0

(La_1/6Ce_1/6Tb_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.897

0.033

0.070

Multiple

80

0

0

(La_1/6Ce_1/6Dy_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.869

0.039

0.092

Multiple

80

0

0

(La_1/6Ce_1/6Ho_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.896

0.035

0.069

Multiple

80

0

0

(La_1/6Ce_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.954

0.037

0.009

Multiple

80

0

0

(La_1/6Ce_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.955

0.036

0.009

Multiple

80

0

0

(La_1/6Ce_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.856

0.047

0.097

Multiple

80

0

0

(La_1/6Eu_1/6Tb_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.834

0.048

0.118

Multiple

80

0

0

(La_1/6Eu_1/6Dy_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.784

0.044

0.173

Multiple

80

0

0

(La_1/6Eu_1/6Ho_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.801

0.043

0.155

Multiple

80

0

0

(La_1/6Eu_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.799

0.051

0.150

Multiple

80

0

0

(La_1/6Eu_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.832

0.048

0.119

Multiple

80

0

0

(La_1/6Eu_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.783

0.060

0.158

Multiple

80

0

0

(La_1/6Tb_1/6Dy_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.879

0.050

0.070

Multiple

80

0

0

(La_1/6Tb_1/6Ho_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.880

0.050

0.069

Multiple

80

0

0

(La_1/6Tb_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.875

0.057

0.068

Multiple

80

0

0

(La_1/6Tb_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.950

0.039

0.011

Multiple

80

0

0

(La_1/6Tb_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.867

0.060

0.073

Multiple

80

0

0

(La_1/6Dy_1/6Ho_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.783

0.056

0.161

Multiple

80

0

0

(La_1/6Dy_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.775

0.057

0.167

Multiple

80

0

0

(La_1/6Dy_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.840

0.041

0.119

Multiple

80

0

0

(La_1/6Dy_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.806

0.055

0.139

Multiple

80

0

0

(La_1/6Ho_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.766

0.056

0.178

Multiple

80

0

0

(La_1/6Ho_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.844

0.046

0.110

Multiple

80

0

0

(La_1/6Ho_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.807

0.064

0.129

Multiple

80

0

0

(La_1/6Er_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.901

0.050

0.049

Multiple

80

0

0

(La_1/6Er_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.795

0.065

0.140

Multiple

80

0

0

(La_1/6Tm_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.853

0.058

0.089

Multiple

80

0

0

(Ce_1/6Eu_1/6Tb_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.789

0.050

0.162

Multiple

80

0

0

(Ce_1/6Eu_1/6Dy_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.756

0.051

0.193

Multiple

80

0

0

(Ce_1/6Eu_1/6Ho_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.740

0.053

0.207

Multiple

80

0

0

(Ce_1/6Eu_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.740

0.047

0.213

Multiple

80

0

0

(Ce_1/6Eu_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.739

0.047

0.214

Multiple

80

0

0

(Ce_1/6Eu_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.747

0.078

0.175

Multiple

80

0

0

(Ce_1/6Tb_1/6Dy_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.691

0.048

0.261

Multiple

79

0

1

(Ce_1/6Tb_1/6Ho_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.749

0.048

0.203

Multiple

80

0

0

(Ce_1/6Tb_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.826

0.050

0.123

Multiple

80

0

0

(Ce_1/6Tb_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.879

0.050

0.071

Multiple

80

0

0

(Ce_1/6Tb_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.805

0.054

0.142

Multiple

80

0

0

(Ce_1/6Dy_1/6Ho_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.650

0.047

0.303

Multiple

79

0

1

(Ce_1/6Dy_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.662

0.047

0.291

Multiple

80

0

0

(Ce_1/6Dy_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.699

0.048

0.253

Multiple

80

0

0

(Ce_1/6Dy_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.729

0.071

0.200

Multiple

80

0

0

(Ce_1/6Ho_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.674

0.049

0.277

Multiple

80

0

0

(Ce_1/6Ho_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.708

0.056

0.236

Multiple

80

0

0

(Ce_1/6Ho_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.739

0.061

0.200

Multiple

80

0

0

(Ce_1/6Er_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.750

0.066

0.183

Multiple

80

0

0

(Ce_1/6Er_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.733

0.068

0.198

Multiple

80

0

0

(Ce_1/6Tm_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

Multiple

0.763

0.067

0.170

Multiple

80

0

0

(Eu_1/6Tb_1/6Dy_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.358

0.051

0.592

γ

0

0

80

(Eu_1/6Tb_1/6Ho_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.362

0.049

0.589

γ

0

0

80

(Eu_1/6Tb_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.340

0.076

0.584

γ

0

0

80

(Eu_1/6Tb_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.226

0.079

0.695

γ

0

0

80

(Eu_1/6Tb_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.418

0.104

0.479

γ

11

0

69

(Eu_1/6Dy_1/6Ho_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.288

0.093

0.618

γ

0

0

80

(Eu_1/6Dy_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.144

0.284

0.572

γ

0

0

80

(Eu_1/6Dy_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.075

0.401

0.524

γ

0

0

80

(Eu_1/6Dy_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.283

0.168

0.549

γ

0

0

80

(Eu_1/6Ho_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.075

0.377

0.549

γ

0

0

80

(Eu_1/6Ho_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.034

0.459

0.507

γ

0

14

66

(Eu_1/6Ho_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.269

0.180

0.551

γ

0

0

80

(Eu_1/6Er_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.019

0.464

0.517

γ

0

12

68

(Eu_1/6Er_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.156

0.409

0.435

γ

0

23

57

(Eu_1/6Tm_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

β

0.075

0.524

0.401

β

0

78

2

(Tb_1/6Dy_1/6Ho_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.112

0.057

0.831

γ

0

0

80

(Tb_1/6Dy_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.027

0.056

0.917

γ

0

0

80

(Tb_1/6Dy_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.016

0.046

0.938

γ

0

0

80

(Tb_1/6Dy_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.244

0.134

0.622

γ

0

0

80

(Tb_1/6Ho_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.022

0.05

0.928

γ

0

0

80

(Tb_1/6Ho_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.010

0.056

0.934

γ

0

0

80

(Tb_1/6Ho_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.109

0.173

0.718

γ

0

0

80

(Tb_1/6Er_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.020

0.075

0.905

γ

0

0

80

(Tb_1/6Er_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.095

0.176

0.729

γ

0

0

80

(Tb_1/6Tm_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.096

0.173

0.731

γ

0

0

80

(Dy_1/6Ho_1/6Er_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.013

0.359

0.628

γ

0

0

80

(Dy_1/6Ho_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.011

0.366

0.622

γ

0

0

80

(Dy_1/6Ho_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

β

0.042

0.516

0.442

β

0

74

6

(Dy_1/6Er_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.010

0.369

0.621

γ

0

0

80

(Dy_1/6Er_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

β

0.039

0.559

0.402

β

0

78

2

(Dy_1/6Tm_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

β

0.034

0.582

0.384

β

0

79

1

(Ho_1/6Er_1/6Tm_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

γ

0.010

0.378

0.612

γ

0

0

80

(Ho_1/6Er_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

β

0.033

0.583

0.383

β

0

79

1

(Ho_1/6Tm_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

β

0.031

0.592

0.377

β

0

79

1

(Er_1/6Tm_1/6Y_1/6Gd_1/6Yb_1/6Lu_1/6)₂Si₂O₇

β

0.040

0.593

0.367

β

0

79

1