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. 2021 Dec 22;12(1):19. doi: 10.3390/nano12010019

Table 4.

Intertrap tunneling and variable range hopping parameters of ZnO:N films deposited at gas ratio of Ar:O2:N2 = 50:10:40 (sample 2.1) and treated by RTA at 550 °C (sample 2.1): qφa—effective thermally activation energy; w—mean distance between deep levels; qφt and Nt—energy position and density of deep levels, respectively, in the ZnO energy gap; T0—characteristic temperature; aB,ZnO—Bohr radius of the localized states in the ZnO energy gap; N(ε)—density of localized states; Rm and ∆W—most probable hopping distance and energy difference of deep levels, respectively.

Parameters As-Deposited
ZnO:N
After RTA at 550 °C
Intertrap tunneling
a (meV) 8.3 25.46
w (cm) at 77 K 4.70 × 10−7 3.724 × 10−7
t(eV) at 77 K 1.48 1.27
Nt(cm−3) at 77 K 9.62 × 1018 1.94 × 1019
Variable range hopping
T0(K) 8.45 × 103 7.44 × 105
aB,ZnO(cm) 2.67 × 10−7 1.04 × 10−7
N(ε)(cm−3.eV−1) 1.15 × 1021 2.2 × 1020
Rm (cm) at 187.5 K 2.677 × 10−7 3.2 × 10−7
∆W (meV) at 187.5 K 10.78 33.07