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Reciprocal lattice

Quiz by Dr.M.Saranya PSGRKCW

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15 questions
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  • Q1
    What is the reciprocal lattice?
    A lattice formed by the set of all reciprocal vectors corresponding to real-space lattice vectors.
    A lattice with the same lattice parameters as the real-space lattice.
    A lattice formed by the set of all reciprocal vectors in the reciprocal space.
    A lattice formed by the set of all lattice points in real-space.
    30s
  • Q2
    Which of the following statements about the reciprocal lattice is true?
    The reciprocal lattice is a theoretical concept with no practical applications.
    The reciprocal lattice has the same lattice parameters as the real-space lattice.
    The reciprocal lattice is a mathematical representation of the Fourier transform of the real-space lattice.
    The reciprocal lattice is a physical lattice formed by atoms or molecules in the reciprocal space.
    30s
  • Q3
    What is the Brillouin zone?
    The Brillouin zone is a mathematical concept with no physical significance.
    The Brillouin zone is a term used to describe the diffraction pattern produced by a crystal.
    The Brillouin zone is the first unit cell in reciprocal space that is repeated in all directions.
    The Brillouin zone is a region of the real-space lattice where the crystal structure is distorted.
    30s
  • Q4
    What is the definition of the reciprocal lattice vector?
    A vector that connects two points in the reciprocal space.
    A vector that connects two points in the direct lattice.
    A vector that connects two points in the reciprocal lattice.
    A vector that connects two points in the real-space lattice.
    30s
  • Q5
    What is the relationship between the reciprocal lattice and the real-space lattice?
    The reciprocal lattice is a direct transformation of the real-space lattice.
    The reciprocal lattice is the Fourier transform of the real-space lattice.
    The reciprocal lattice is a subset of the real-space lattice.
    The reciprocal lattice and the real-space lattice have the same lattice vectors.
    30s
  • Q6
    What is the relationship between the reciprocal lattice and the direct lattice?
    The reciprocal lattice is the dual lattice of the direct lattice.
    The reciprocal lattice has a different number of lattice points compared to the direct lattice.
    The reciprocal lattice is a subset of the direct lattice.
    The reciprocal lattice is a transformed version of the direct lattice with the same lattice vectors.
    30s
  • Q7
    Which of the following is a property of reciprocal lattice vectors?
    Reciprocal lattice vectors have the same magnitude as the corresponding direct lattice vectors
    Reciprocal lattice vectors are perpendicular to the corresponding direct lattice vectors
    Reciprocal lattice vectors are parallel to the corresponding direct lattice vectors
    Reciprocal lattice vectors have a different number of dimensions than the corresponding direct lattice vectors
    30s
  • Q8
    What is the formula for calculating the reciprocal lattice vector of a direct lattice vector in 3D?
    Reciprocal lattice vector = 2π * (h*â - k*b̂ + l*ĉ) / V
    Reciprocal lattice vector = 2π * (h*â + k*b̂ + l*ĉ) / V
    Reciprocal lattice vector = 2π * (h*â + k*b̂ - l*ĉ) / V
    Reciprocal lattice vector = (h*â + k*b̂ + l*ĉ) / V
    30s
  • Q9
    What is the formula for calculating the magnitude of a reciprocal lattice vector in 3D?
    |Reciprocal lattice vector| = 2π * d
    |Reciprocal lattice vector| = d * 2π
    |Reciprocal lattice vector| = d / 2π
    |Reciprocal lattice vector| = 2π / d
    30s
  • Q10
    What is the formula for calculating the reciprocal lattice parameter?
    Reciprocal lattice parameter = direct lattice parameter * 2π
    Reciprocal lattice parameter = 2π / direct lattice parameter
    Reciprocal lattice parameter = direct lattice parameter / 2π
    Reciprocal lattice parameter = 2π * direct lattice parameter
    30s
  • Q11
    What is the term used to describe the spacing between planes of a crystal lattice?
    Lattice spacing
    Interplanar spacing
    D-spacing
    Crystal spacing
    30s
  • Q12
    What is the term used to describe the regular arrangement of atoms or ions in a crystal lattice?
    Bonding arrangement
    Lattice pattern
    Atomic order
    Crystal structure
    30s
  • Q13
    What is the term used to describe the repeating units in a crystal lattice?
    Coordination number
    Lattice point
    Crystal plane
    Unit cell
    30s
  • Q14
    Which of the following structures is used to construct the reciprocal lattice of a bcc crystal?
    Hexagonal close-packed
    Face-centered cubic
    Body-centered cubic
    Simple cubic
    30s
  • Q15
    Which of the following is not a characteristic of the reciprocal lattice of a crystal?
    It is a three-dimensional lattice
    It has the same symmetry as the direct lattice
    It is defined by the dual lattice of the direct lattice
    It is used to analyze diffraction patterns
    30s

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