The valence electrons do not directly determine the following property of a metal
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Solid State Physics
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The solid phase of an element follows van der Waals bonding with inter-atomic potential where, P and Q are constants. The bond length can be expressed as
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A system containing N non-interacting localized particles of spin and magnetic moment each is kept in constant external magnetic field B and in normal equilibrium at temperature T. The magnetization of the system is
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In a cubic crystal, atoms of mass M1 lie on one set of planes and atoms of mass M2 lie on planes interleaved between those of the first set. If C is the forte constant between nearest neighbour planes, the frequency of lattice vibrations for the optical phonon branch with wave vector k = 0 is
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If the ionic radii of Mn and S are 0.80 and 0.184 nm respectively, the structure of MnS will be
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An external magnetic field of magnitude H is applied to a type-I superconductor at a temperature below the transition point. Then which one of the following statements is not true for H less than the critical field Hc?
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Infrared absorption can be observed in which of the following molecules?
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The number of independent elastic constants in an isotropic cubic solid is
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The Bloch theorem states that within a crystal, the wave function , of an electron has the form
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In crystallographic notations, the vector in the cubic cell shown in the figure is
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An extrinsic semiconductor sample of cross-section A and length L is doped in such a way that the dopping concentration varies as is a constant. Assume that the mobility of the majority carriers remains constant. The resistance R of the sample is given by
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Consider the Atomic Packing Factor (APF) of the following crystal structures:
P. Simple cubic
Q. Body centred cubic
R. Face centred cubic
T. Hexagonal close packed
Which two of the above structures have equal APF?
P. Simple cubic
Q. Body centred cubic
R. Face centred cubic
T. Hexagonal close packed
Which two of the above structures have equal APF?
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If the number density of a free electron gas changes from 1028 to 1026 electron/m3, the value of plasma frequency (in Hz) changes from 5.7 × 1015 to
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The dielectric constant of water is 80. However its refractive index is 1.75 invalidating the expression n = ε1/2. This is because
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Density of states of free electrons in a solid moving with an energy 0.1 eV is given by 2.15 × 1021 e/V cm-3. The density of states (in e/V cm-3) for electrons moving with an energy of 0.4 eV will be
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In a cubic system with cell edge a, two phonons with wave vectors and collide and produce a third phonon with a wave. vector such that where, is a lattice vector. Such a collision process will lead to
(a)
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The point group symmetrics of the three molecules shown in figures are respectively
[Notation C2v = 2 mm; C2h = 2/m; D2h = mmm]
[Notation C2v = 2 mm; C2h = 2/m; D2h = mmm]
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The thermal conductivity of a given material reduces, when it undergoes a transition from its normal state to the superconducting state. The reason is
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Silicon has diamond structure with unit cell edge a = 0.542 nm. The interatomic separation is
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A metal with body centred cubic (bcc) structure shows the first (i.e. smallest angle) diffraction peak at a Bragg angle of θ = 30°. The wavelength of X-ray used is 2.1 . The volume of the primitive unit cell of the metal is
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