37 research outputs found
Persistent photovoltage in methylammonium lead iodide perovskite solar cells
Open circuit voltage decay measurements are performed on methylammonium lead
iodide (CH3NH3PbI3) perovskite solar cells to investigate the charge carrier
recombination dynamics. The measurements are compared to the two reference
polymer-fullerene bulk heterojunction solar cells based on P3HT:PC60BM and
PTB7:PC70BM blends. In the perovskite devices, two very different time domains
of the voltage decay are found, with a first drop on a short time scale that is
similar to the organic solar cells. However, two major differences are also
observed. 65-70% of the maximum photovoltage persists on much longer
timescales, and the recombination dynamics are dependent on the illumination
intensity.Comment: 5 pages, 3 figure
Existence of Non-Trivial Bounded Functionals Implies the Hahn-Banach Extension Theorem
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional on any L_∞/C_0 without an uncountable form of the axiom of choice. Moreover, we show that if on each Banach space there exists at least one non-trivial bounded linear functional, then the Hahn-Banach extension theorem must hold. We also discuss relations of non-measurable sets and the Hahn-Banach extension theorem
Existence of Non-Trivial Bounded Functionals Implies the Hahn-Banach Extension Theorem
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional on any L_∞/C_0 without an uncountable form of the axiom of choice. Moreover, we show that if on each Banach space there exists at least one non-trivial bounded linear functional, then the Hahn-Banach extension theorem must hold. We also discuss relations of non-measurable sets and the Hahn-Banach extension theorem