The Kronig-Penney approximation: may it live on

Day, S.P.; Zhou, Huairong; Pulfrey, D.L.

doi:10.1109/13.61089

Cited by 6 publications

(3 citation statements)

References 1 publication

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“…The period of the International Journal of Photoenergy considered potential is equal to ( QD + ). The Schrödinger equation for this model is [10,17,18].Consider…”

Section: Wavevectors Of a Charge Carriermentioning

confidence: 99%

Theoretical Study of One-Intermediate Band Quantum Dot Solar Cell

Aly¹,

Nasr²

2014

International Journal of Photoenergy

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The intermediate bands (IBs) between the valence and conduction bands play an important role in solar cells. Because the smaller energy photons than the bandgap energy can be used to promote charge carriers transfer to the conduction band and thereby the total output current increases while maintaining a large open circuit voltage. In this paper, the influence of the new band on the power conversion efficiency for the structure of the quantum dots intermediate band solar cell (QDIBSC) is theoretically investigated and studied. The time-independent Schrödinger equation is used to determine the optimum width and location of the intermediate band. Accordingly, achievement of maximum efficiency by changing the width of quantum dots and barrier distances is studied. Theoretical determination of the power conversion efficiency under the two different ranges of QD width is presented. From the obtained results, the maximum power conversion efficiency is about 70.42% for simple cubic quantum dot crystal under full concentration light. It is strongly dependent on the width of quantum dots and barrier distances.

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“…The period of the International Journal of Photoenergy considered potential is equal to ( QD + ). The Schrödinger equation for this model is [10,17,18].Consider…”

Section: Wavevectors Of a Charge Carriermentioning

confidence: 99%

Theoretical Study of One-Intermediate Band Quantum Dot Solar Cell

Aly¹,

Nasr²

2014

International Journal of Photoenergy

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“…The time-independent Schr€ odinger equation and the Krong-Penny model are used to calculate the energy bands in QDs using the effective mass of charge carriers. 18,[24][25][26] The model (Al 0.4 Ga 0.6 As/In 0.42 Ga 0.58 As) QDIBSC is theoretically analyzed to show the effect of QDW and the distance among them in the barrier material, BT, on the efficiency. The IB energy level is produced in the CB offset by coupling of confined electronic states in the dot array material (In 0.42 Ga 0.58 As).…”

Section: -3mentioning

confidence: 99%

Progress into power conversion efficiency for solar cells based on nanostructured and realistic spectra

Aly

2014

Journal of Renewable and Sustainable Energy

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To make the solar cell technology more competitive as a source of alternative energy, the study of how to improve its efficiency is essential. The detailed balance efficiency of traditional and one-intermediate band solar cell (one-IBSC) is analyzed by using realistic spectra at AM0 and AM1.5 under various light concentrations. Theoretically, the optimum location for one-IB is investigated to determine the maximum efficiency of one-IBSC. The quantum dot (QD) intermediate band solar cell is studied with the effect of some parameters for QD such as width size (QDW) and barrier thickness (BT) to determine the optimum location of one-IB. The main results conclude that the one-IBSC under AM0 spectrum has maximum balanced efficiencies reached to 45.70% and 63.56% for 1 Sun and maximum light concentration, respectively. While for AM1.5 spectrum these efficiencies are 49.35% and 67.60% with the same conditions of AM0 spectrum. The results also show that the maximum balanced efficiencies for one-IBSC nearly achieved when they are processed by QDs which have the main parameters, QDW and BT. V C 2014 AIP Publishing LLC. [http://dx.

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“…The Kronig-Penney model [1] is an idealized periodic potential, which is an approximation to the actual crystal. The Kronig-Penney approximation has found wide usage as it allows analytical methods to be employed to reveal the essential features of the energy band structure of semiconductors [2]. A complete understanding of the Kronig-Penney model can help us in successfully handling the more complicated models present in solid state physics.…”

Section: Introductionmentioning

confidence: 99%

Kronig–Penney model simulation with equivalent circuit method

Tsai

2006

Int J Numerical Modelling

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SUMMARYThe Kronig-Penney model is quite useful for illustrating many important features of the quantum behaviour of electrons in periodic lattice. Although the Kronig-Penney model is well-known and has been discussed in solid state textbooks, we try to use a simple and accessible way without the extremely laborious and tedious algebra evaluation to solve Kronig-Penney model. This paper presents a simple method without solving the difficult eigen-problem to solve the Kronig-Penney model, and the important energy band characteristics can be easily obtained with circuit concepts. The simulation results are presented to demonstrate the accuracy and superiority of the model.

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The Kronig-Penney approximation: may it live on

Cited by 6 publications

References 1 publication

Theoretical Study of One-Intermediate Band Quantum Dot Solar Cell

Theoretical Study of One-Intermediate Band Quantum Dot Solar Cell

Progress into power conversion efficiency for solar cells based on nanostructured and realistic spectra

Kronig–Penney model simulation with equivalent circuit method

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