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Presents a quantitative description of the shape, response and stability of conical dislocation in crumpling of paper. Results of deformation; Scaling laws for the size of the core; Characteristics of the geometry of the dislocation away from the core; Interaction between conical dislocations in a simple geometry.

The quantum spin properties of nitrogen-vacancy defects in diamond enable diverse applications in quantum computing and communications 1 . However, fluorescent nanodiamonds also have attractive properties for in vitro biosensing, including brightness 2 , low cost 3 and selective manipulation of their emission 4 . Nanoparticle-based biosensors are essential for the early detection of disease, but they often lack the required sensitivity. Here we investigate fluorescent nanodiamonds as an ultrasensitive label for in vitro diagnostics, using a microwave field to modulate emission intensity 5 and frequency-domain analysis 6 to separate the signal from background autofluorescence 7 , which typically limits sensitivity. Focusing on the widely used, low-cost lateral flow format as an exemplar, we achieve a detection limit of 8.2 × 10 -19 molar for a biotin-avidin model, 10 5  times more sensitive than that obtained using gold nanoparticles. Single-copy detection of HIV-1 RNA can be achieved with the addition of a 10-minute isothermal amplification step, and is further demonstrated using a clinical plasma sample with an extraction step. This ultrasensitive quantum diagnostics platform is applicable to numerous diagnostic test formats and diseases, and has the potential to transform early diagnosis of disease for the benefit of patients and populations.

The article summarizes research published in a 2015 issue of "Advanced Materials" concerning the development of a flexible lithium-air battery using paper and lithium foil with a carbon-based ink which was capable of holding a charge even after being bent 1,000 times.