R

Pr

Bi

Q

Sc

E

δ

σ

m

Cu + GaN + EG

Al2O3 + GaN + EG

Cu + Al2O3 + EG

R e x 1 / 2 N u

R e x 1 / 2 S h

R e x 1 / 2 N u

R e x 1 / 2 S h

R e x 1 / 2 N u

R e x 1 / 2 S h

1.2

6.2

0.3

0.2

0.6

0.1

1.0

1.0

0.3

0.660888

0.782796

0.667269

0.788650

0.663180

0.785574

0.3

0.177315

0.778416

0.178625

0.784452

0.177398

0.781396

2

0.040950

0.786183

1.052843

0.791933

1.046919

0.788833

0.7

0.446948

0.802411

0.449236

0.808510

0.401325

0.783309

4

0.601701

0.788322

0.611328

0.793827

1.880383

0.794801

8

0.690538

0.780081

0.694760

0.786170

3.338546

0.800587

1

0.446440

0.795899

1.485796

0.801175

1.465675

0.798368

1.5

0.742289

0.800406

1.801488

0.805592

1.771990

0.802832

2

0.940766

0.803317

2.015622

0.808477

1.978766

0.805733

0.1

0.674924

0.781606

0.679455

0.787638

0.675873

0.784506

0.3

0.641945

0.784402

0.651358

0.789973

0.646468

0.786981

0.5

0.567986

0.790576

0.595418

0.794585

0.586182

0.792006

0.2

0.660888

0.422417

0.667269

0.425378

0.663180

0.423802

0.4

0.660888

0.618192

0.667269

0.622934

0.663180

0.620429

0.8

0.660888

0.928119

0.667269

0.934721

0.663180

0.931265

0.5

0.660888

0.706058

0.667269

0.767997

0.663180

0.709188

1.5

0.660888

0.579659

0.667269

0.730071

0.663180

0.584072

2

0.660888

0.542820

0.667269

0.666649

0.663180

0.547842

0.5

0.660888

0.776686

0.667269

0.779446

0.663180

0.779724

1.5

0.660888

0.788530

0.667269

0.781837

0.663180

0.791073

2

0.660888

0.793936

0.667269

0.786436

0.663180

0.796268

0.5

0.660888

0.647507

0.667269

0.656013

0.663180

0.651590

1.5

0.660888

0.895916

0.667269

0.900186

0.663180

0.897909

2

0.660888

0.995027

0.667269

0.998219

0.663180

0.996482

0.5

0.660888

0.789502

0.667269

0.794812

0.663180

0.791977

1.5

0.660888

0.825839

0.667269

0.828093

0.663180

0.826608

2

0.660888

0.845906

0.667269

0.846401

0.663180

0.845689