After going through these two examples, one may ask when the uniqueness of the sparsest solution can be claimed. To answer this question, we first recall the definition of the rank of a matrix, the spark5 of a matrix, and the so-called mutual coherence. (1) Given a K×I matrix A,...
Explain dipole-dipole interaction, hydrogen bonds, and van der Waals forces. Give examples also. Does I3 have a dipole moment? The melting point of methane is low, so why is that in terms of intermolecular forces? Does glycine have a high dipole moment? Why is water tetrahedral? Decide whe...
What is a dipole-dipole attraction? Give three examples of liquid substances in which you would expect dipole-dipole attractions to be large. Which of the following molecular solids will exhibit dipole-dipole intermolecular forces? (Select all that apply....
More examples of spectral traces can be found in Supplementary Fig. 18. Full size image We consider several possible sources as a cause for the spectral diffusion. One of them is a spatial jump of the molecule itself. However, rotation of the molecule can be ruled out by analysis of the ...
An estimate of the induced electric dipole moment of the electron (noncommutative field theories violate CP in general to first order in θμν) yields ΛNC≳100TeV. On the other hand, if the SM were CP invariant, noncommutative geometry would be able to account for the observed CP ...
the proposed system can thus be used for ultrafast control of arbitrarily designed electromagnetic fields. This flexibility is especially valuable when integrating this system with architectures that possess a well-defined dipole moment, such as 2D materials39, plasmonic nanostructures40or single emitters4...
Table 1 summarizes the characteristics and examples of both pre- and post-functionalization method for the stabilization of nZVI particles. Interestingly, the biodegradable CMC is the most common polymer used in both pre- and post-functionalization of nZVI, while PVP and PV3A are so far used ...
As particular examples, we studied the neutron–muon systems and the neutron–neutron systems. We calculated the root-mean-square size of the bound states of these systems for the lowest admissible values of the angular momentum: L = 2 for the neutron–muon systems, and L = 3 for the neut...