Supplementary materials Theoretical investigations on electronic structures of bipolar host materials based on carbazole-based triphenylphosphine oxide derivatives for blue phosphorescence Huili Sun, Wei Shen, Xiaguang Zhang, Dongmei Zhang, Ming Li* School of Chemistry and Chemical Engineering, Southwest University, Chongqing 400715, P. R. China * E-mail: liming@swn.edu.cn; phone:+86-023-68253023 In order to further understand the effect of different substituents attached to the triphenylphosphine oxide acceptor backbone chain and the carbazole donor pendant chains on the electronic properties such as HOMO and LUMO, ET, ∆EST, reorganization energy (λh and λe), we introduced fluorine (-F) and nitrile (-CN) groups into four phenyls of backbone chain, i.e., hosts 4−9. The results are shown in Fig. S1−3 and Table S4−5. The introduction of -CN (or tert-butyl) in triphenyl-phosphine acceptor (or carbazole donor) moiety also shifts the ET downward for these host molecules, due to their strong electron-withdrawing inductive effects (or electron-donating effects) facilitating the delocalization of triplet exciton. The LUMO levels (EAs) are more vulnerable to CN-substituents than the HOMO levels (IPs). For example, the LUMO energies of hosts 5 and 7 are significantly stabilized by 1.57 eV compared with hosts 4 and 6, respectively. Still, CN-series molecules possess far smaller ΔEST values and lower charge injection barriers than F-series molecules. In addition, hosts 8 and 9 introduced two kinds of substituents in triphenyl-phosphine acceptor units can also indeed mediate their performance parameters lying between those of the corresponding F-substituent molecules (4 and 6) and CN-substituent molecules (5 and 7). Therefore, this can further confirm the above discussed conclusions. Supplementary data Table S1 The calculated HOMO and LUMO energies of FPCzPO via directly measuring HOMO/LUMO eigenvalues from the optimized S0 results at the different levels (in eV) Table S2 Calculated absorption spectra of FPCzPO by various functionals at the 6-311G(d) basis set (in nm) Table S3 Calculated transition natures of the S1 states of studied host molecules based on the S0 geometry by TD-DFT calculations Table S4 Calculated HOMO and LUMO energies, adiabatic triplet energies ET, adiabatic ionization potential (IP), electron affinity (EA) and reorganization energies (λh and λe).for the molecules at the PBE0/6−311G(d) level (in eV) Table S5 Contour plots of the pairs of “Natural Transition Orbitals” based on TD-DFT calculation Table S6 A comparison of the ET and ∆EST between bilateral-substituted and unilateral-substituted hosts Table S7 The mainly excited energies and oscillator strength (ƒ) for studied host molecules calculated by TD-DFT Fig. S1 Chemical structure of studied compounds 4−9 Fig. S2 Spin density distributions for hosts 4−9 Fig. S3 Contour plots of the HOMO and LUMO levels of hosts 4−9 in the ground state Table S1 The calculated HOMO and LUMO energies of FPCzPO via directly measuring HOMO/LUMO eigenvalues from the optimized S0 results at the different levels (in eV) B3LYP/ 6-31G(d) -5.30 -1.36 HOMO LUMO B3P86/ 6-31G(d) -5.96 -2.01 PBE0/ 6-31G(d) -5.55 -1.24 PBE0/ 6-311G(d) -5.76 -1.50 Exp.[22,23] -5.70 -2.30 Table S2 Calculated absorption spectra of FPCzPO by various functionals at the 6-311G(d) basis set (in nm) λabs PBE0 B3LYP 336 351 320 335 272 331 B3P86 351 335 331 CAM-B3LYP WB97XD M06 291 286 335 226 273 320 225 224 281 Exp.[22,23] 344 329 297 Table S3 Calculated transition natures of the S1 states of studied host molecules based on the S0 geometry by TD-DFT calculations Compounds FPCzPO E(S0→S1) 3.69 1 2.76 2 3 4 5 6 7 8 9 3.78 2.91 3.69 2.51 3.79 2.59 2.69 2.97 Transition nature H-1→LUMO (63%)/H-1→L+1 (31%) HOMO→LUMO (69%)/HOMO→L+1 (31%) H-1→LUMO (65%)/H-1→L+1 (30%) HOMO→LUMO (82%) H-1→L+1 (75%) HOMO→LUMO (96%) H-1→LUMO (23%)/H-1→L+1 (54%) HOMO→LUMO (95%) HOMO→LUMO (96%) H-1→LUMO (100%) Table S4 Calculated HOMO and LUMO energies, adiabatic triplet energies ET, adiabatic ionization potential (IP), electron affinity (EA) and reorganization energies (λh and λe).for the molecules at the PBE0/6-311G(d) level (in eV) Compounds HOMO LUMO Eg ET 4 -5.82 -1.55 4.27 3.10 5 -6.01 -3.12 2.89 2.75 6 -6.02 -1.61 4.41 3.17 7 -6.22 -3.24 2.98 3.02 8 -5.85 -2.85 3.00 2.99 9 -6.12 -2.86 3.26 3.08 a,b Refer to original values of original values (2.6947 and 2.6946) IP 6.54 6.71 6.81 6.91 6.63 6.92 EA -0.96 -2.34 -0.97 -2.61 -2.02 -2.11 λh 0.09 0.11 0.09 0.11 0.10 0.09 λe 0.45 0.32 0.43 0.53 0.41 0.49 E(S0→S1) E(S0→T1) 3.69 3.06 2.51 2.50 3.79 3.09 2.60 2.59 a 2.69 2.69b 2.97 2.96 Table S5 Contour plots of the pairs of “Natural Transition Orbitals” based on TD-DFT calculation Based on the S0 state Based on the T1 state Compounds a NTO of hole NTO of particle λ NTO of hole NTO of particle ∆EST 0.63 0.01 0.70 0.01 0.00 0.01 λa 4 0.97 0.94 5 0.99 0.99 a 6 0.99 0.93 7 0.99 0.98 8 0.99 0.98 9 0.99 0.97 λ represents natural transition orbital eigenvalue Table S6 A comparison of the ET and ∆EST between bilateral-substituted and unilateral-substituted hosts Compounds FPCzPO 4 1 5 2 6 3 7 ET 3.00 3.10 2.76 2.75 3.16 3.17 3.15 3.02 ∆EST 0.64 0.63 0.00 0.01 0.69 0.70 0.00 0.01 Table S7 The mainly excited energies and oscillator strength (ƒ) for studied host molecules calculated by TD-DFT. Compounds FPCzPOM 1 2 3 4 5 6 7 States S0→S1 S0→S2 S0→S19 S0→S12 S0→S14 S0→S16 S0→S1 S0→S2 S0→S19 S0→S11 S0→S14 S0→S16 S0→S1 S0→S2 S0→S24 S0→S5 S0→S8 S0→S17 S0→S1 S0→S2 S0→S23 S0→S9 S0→S11 S0→S18 λabs 336 320 272 350 332 324 327 314 267 338 325 317 336 332 272 438 426 387 327 325 267 401 384 362 ƒ 0.3138 0.3868 0.1748 0.1543 0.1524 0.3684 0.2441 0.2806 0.1209 0.1668 0.0875 0.2906 0.3771 0.2766 0.1699 0.0142 0.0251 0.0084 0.2843 0.2246 0.1189 0.0147 0.0625 0.0228 8 9 S0→S11 S0→S15 S0→S17 S0→S11 S0→S13 S0→S22 357 335 331 339 328 298 0.3942 0.3392 0.0106 0.1548 0.3065 0.0488 Fig. S1 Chemical structure of studied compounds 4−9 Fig. S2 Spin density distributions for hosts 4−9 Fig. S3 Contour plots of the HOMO and LUMO levels of hosts 4−9 in the ground state.