Maximal Efficiencies in GaP_(1-x) 〖Te〗_x-Alloy Junction Solar Cells at 300 K, According to Highest Hot Reservoir Temperatures, Obtained from Carnot-Efficiency Theorem

Huynh Van Cong
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Abstract

In n^+ (p^+)-p(n) [X(x)≡GaP_(1-x) Te_x]-alloy junction solar cells at T=300 K, 0≤x≤1, by basing on the same physical model and the same treatment method, as those used in our recent works [1, 2], we will also investigate the maximal efficiencies, η_(Imax.(IImax.)), obtained at the open circuit voltage V_oc (=V_(ocI(ocII))), according to highest hot reservoir temperatures, T_H (K), obtained from the Carnot efficiency theorem, which was demonstrated by the use of the entropy law. In the present work, some concluding remarks are given in the following.(1) In the heavily doped emitter region, the effective density of electrons (holes), N^*, given in parabolic conduction (valence) bands, expressed as functions of the total dense impurity density, N, donor (acceptor)-radius, r_(d(a)), and x-concentration, is defined in Eq. (9d), as: N^* 〖(N,r〗_(d(a)),x)〖≡N-N〗_CDn(NDp) 〖(r〗_(d(a)),x), where N_CDn(NDp) is the Mott critical density in the metal-insulator transition, determined in Eq. (9a). Then, we have showed that (i) the origin of such the Mott’s criterium, Eq. (9a), is exactly obtained from the reduced effective Wigner-Seitz radius r_(sn(sp)), characteristic of interactions, as given in Equations (9b, 9c), and further (ii) N_(CDn(CDp)) is just the density of electrons (holes) localized in the exponential conduction (valence)-band tail (EBT), as that demonstrated in [1].(2) In Table 3n, for the n^+-p GaP_(1-x) Te_x-alloy junction solar cell and for r_(Sn(Cd))-radius, one obtains with increasing x=(0, 0.5, 1): η_(Imax.) (↘)= 32.83 %, 32.82 %, 32.79 %, according to T_H (↘)=446.6 K,446.5 K,446.3 K, at V_ocI=1.06 V,1.06 V,1.06 V, respectively.(3) In Table 5p, for the p^+-n GaP_(1-x) Te_x-alloy junction solar cell and for r_(Cd(Sn))-radius, one obtains with increasing x=(0, 0.5, 1): η_(IImax.) (↘)= 32.41 %, 32.39 %, 32.37 %, according to T_H (↘)=443.8 K,443.7 K,443.6 K, at V_ocII (V)[>V_ocI (V)]=1.17 V,1.17 V,1.17 V, respectively, suggesting that such η_(Imax.(IImax.))-and-T_H variations depend on V_ocII (V)[>V_ocI (V)]-ones.  
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根据卡诺效率定理得出的〖〗GaP_(1-x)〖〗Te_x-合金结太阳能电池在 300 K 温度下的最高热储温度
在 T=300 K、0≤x≤1 的 n^+ (p^+)-p(n) [X(x)≡GaP_(1-x) Te_x]-合金结太阳能电池中,我们将根据与我们最近的研究[1, 2]中使用的相同的物理模型和相同的处理方法,研究在开路电压 V_oc (=V_(ocI(ocII)) 时获得的最大效率 η_(Imax.(IImax.)), 在开路电压 V_oc (=V_(ocI(ocII)) 下获得,根据最高热储温度 T_H (K),从卡诺效率定理中获得,该定理通过使用熵定律来证明。(1)在重掺杂发射极区域,抛物线导(价)带中的电子(空穴)有效密度 N^*,用总密集杂质密度 N、供体(受体)半径 r_(d(a)) 和 x 浓度的函数表示,定义如式 (9d) 所示:N^* 〖(N,r〗_(d(a)),x)〖≡N-N〗_CDn(NDp) 〖(r〗_(d(a)),x) 其中 N_CDn(NDp) 是金属-绝缘体转变中的莫特临界密度,由式 (9a) 确定。然后,我们证明了:(i) 公式 (9a) 所示莫特临界密度的来源可以从公式 (9b, 9c) 中给出的相互作用特征的还原有效 Wigner-Seitz 半径 r_(sn(sp))中精确获得;(ii) N_(CDn(CDp)) 只是指数导(价)带尾(EBT)中的局部电子(空穴)密度,如文献 [1] 所示。(2) 在表 3n 中,对于 n^+-p GaP_(1-x) Te_x-alloy 结太阳能电池和 r_(Sn(Cd))-半径,随着 x=(0, 0.(↘)=32.83%、32.82%、32.79%,根据 T_H (↘)=446.6 K、446.5 K、446.3 K,V_ocI=1.06 V、1.06 V、1.06 V。(3) 在表 5p 中,对于 p^+-n GaP_(1-x) Te_x-alloy 结太阳能电池和 r_(Cd(Sn))-半径,随着 x=(0, 0.5, 1): η_(IImax.) (↘)= 32.41 %, 32.39 %, 32.37 %, according to T_H (↘)=443.8 K,443.7 K,443.6 K, at V_ocII (V)[>V_ocI (V)]=1.17 V、1.17 V、1.17 V 时,η_(Imax.(IImax.))和 T_H 的变化取决于 V_ocII (V)[>V_ocI (V)]。
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