Consider the following five sets of unit cell parameters: I. a=b=c , = = =90^ II. a=b c , = = =90^ III. a b c , = = =90^ IV. a b c , = =90^ , 90^ V. a=b c , = =90^ , =120^ The number of crystal systems from the above list that can exhibit a

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Consider the following five sets of unit cell parameters: I. a=b=c , = = =90^ II. a=b c , = = =90^ III. a b c , = = =90^ IV. a b c , = =90^ , 90^ V. a=b c , = =90^ , =120^ The number of crystal systems from the above list that can exhibit a face-centred unit cell is ____.

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Correct answer: 2

The given sets of parameters correspond to the following crystal systems: I. Cubic II. Tetragonal III. Orthorhombic IV. Monoclinic V. Hexagonal Among the 14 Bravais lattices, a face-centred unit cell is found only in the Cubic and Orthorhombic crystal systems. Therefore, out of the given 5 systems, exactly 2 (Cubic and Orthorhombic) can exhibit a face-centred unit cell. Answer: 2

Consider the following five sets of unit cell parameters: I. a=b=c , = = =90^ II. a=b c , = = =90^ III. a b c , = = =90^ IV. a b c , = =90^ , 90^ V. a=b c , = =90^ , =120^ The number of crystal systems from the above list that can exhibit a face-centred unit cell is ____.

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