For a superconducting specimen, the critical fields are and
at
and
respectively. Calculate the critical temperature and critical field at
.
The critical field (H_c(T)) of a superconductor varies with temperature according to the empirical relation: [ H_c(T) = H_c(0) \left[ 1 - \left( \frac{T}{T_c} \right)^2 \right] ] where (H_c(0)) is the critical field at 0 K, (T_c) is the critical temperature, and (T) is the temperature. We are given: [ H_{c1} = 1.5 \times 10^5 , \text{A/m at } T_1 = 14,\text{K} ] [ H_{c2} = 4.0 \times 10^5 ____ __________ ___ ___ _____.
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A metallic crystal has an fcc lattice with a lattice constant . Explain whether the following planes are allowed or forbidden for X-ray diffraction:
(100), (111), (210), (220)
Calculate the X-ray diffraction angles for the allowed planes. Assume that diffraction occurs in the first order and the X-ray wavelength is .
For Chromium () vapour at
with a number density of atoms
calculate:
i) The Larmor diamagnetic susceptibility assuming the atomic radius to be 1.2 A.
ii) The Curie paramagnetic susceptibility.
For a superconducting specimen, the critical fields are and
at
and
respectively. Calculate the critical temperature and critical field at
.
A metallic element has a density of , a lattice constant of
and an atomic weight
. Calculate the number of atoms per unit cell of this element and predict its lattice crystal structure.
Calculate the temperature at which the lattice contribution to the specific heat and the electronic contribution to the specific heat become equal in a metal which has a Debye temperature of and a Fermi energy
.
The susceptibility of is
and its density is
. Calculate its total polarisability. Assume that the mass number for
is 32.
The critical temperature of lead (Pb) of average atomic mass is
. Calculate the critical temperature of a specimen of lead isotope with mass
using the normal isotope effect.