Table 3-1 contains formulas for the volume of different types of unit cells. Write a computer program to calculate the unit cell volume in the units of ų and nm³. Your program should prompt the user to input the 

(a) Type of unit cell, 

(b) Necessary lattice constants, and 

(c) Angles. The program then should recognize the inputs made and use the appropriate formula for the calculation of unit cell volume.

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Table 3-1 Characteristics of the seven crystal systems Structure Axes Angles between Axes a = b = c Cubic Tetragonal a = b = c Orthorhombic a‡b #c Hexagonal a=b/c Rhombohedral a = b = c or trigonal Monoclinic Triclinic a‡b#c a b c All angles equal 90°. All angles equal 90°. All angles equal 90° Two angles equal 90°. The angle between a and bequals 120°. All angles are equal and none equals 90°. Two angles equal 90°. One angle (B) is not equal to 90°. All angles are different and none equals 90°. Volume of the Unit Cell a²c abc 0.866a²c a³V1-3cos²a + 2c0s³a abc sin B abcV1-cos²a-cos²B-cos²y + 2cosacos cosy