For an icosahedral cluster calculate the number of atoms present in its 7th shell. Find the total number of atoms in this cluster and its surface to bulk atom ratio.
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Explain the steps of sol-gel synthesis of silica gel. Differentiate between the structure and method of formation of xerogel and aerogel.
Explain the difference between ballistic transport and normal (diffusive) transport in a material. Using the Landauer formula, calculate the conductance of a quantum device in which the conduction take place through three channels, each of which has a transmission coefficient .
What are Dirac point and Dirac cone in case of graphene? What are the specialties of a Dirac cone? What is the difference between graphene and graphyne?
Describe the detection mechanism of a virus with the use of Up-Conversion Nanoparticles (UCNPs).
What is exciton? What is the difference between Frenkel and Mott-Wannier excitons? Calculate the radius of an exciton in a semiconductor with dielectric constant ,
and
.
What are triboelectric nanogenerators? Explain the different modes of their operation.
What is the difference between single domain and superparamagnetic particles? A superparamagnetic material has a characteristic time of 10-11 seconds and a Néel relaxation time of 2.0 second at 300 K.
Calculate
i) the energy barrier (in eV); and
ii) the blocking temperature if the measurement time is 120s.
Take .